# TableCurve Connects Measurements With Research Models

**Worldwide research-use reference report and knowledge base | Collection snapshot: October 4, 2026**

TableCurve is documented in published research as a bridge between observations and mathematical models: researchers fit curves and surfaces, estimate rates and thresholds, locate optima, calibrate instruments, compare simulations with experiments, and summarize engineering trends. The three supplied spreadsheets yield **3,273 unique publication candidates**, including **3,244 research-eligible candidates** after 29 review, vendor, and news exclusions. Their publication-affiliation metadata contains **92 standard ISO country/territory codes**, demonstrating broad bibliographic reach without establishing customer countries or market share. The accompanying contextual review contains **49 evidence entries**, separately identifying inspected primary full text, primary indexed passages, and unresolved leads. This report comprehensively organizes the supplied catalogue and explains selected documented applications; it does not claim that every candidate paper was verified or that every worldwide TableCurve use was found. The result is a shareable evidence base for technical documentation, reference examples, partner discussions, and continued verification. (Corpus statistics (included in the complete knowledge-base ZIP), Case statistics (included in the complete knowledge-base ZIP))

## 1. The knowledge base preserves evidence behind every publication candidate

### Three overlapping workbooks become one traceable catalogue

The source workbooks serve different purposes: publication lists identify candidate papers, authorship sheets describe historical affiliations, and summary sheets aggregate organizations or sectors. Their counts cannot simply be added because the publications overlap. The import preserves **34,072 nonempty source rows**, including summary rows, and identifies **4,166 title-bearing publication rows** before deduplication. The first workbook contributes 718 such rows, the original Scholar workbook contributes 280, and the combined publications workbook contributes 3,168. The latter's Publications sheet has 3,172 nonempty rows, but four have no publication title under the current import rule. Its separately preserved Provided papers sheet is not counted again as a new publication list. This explains the difference between earlier deliverable counts and the present catalogue. (Source inventory (included in the complete knowledge-base ZIP))

Deduplication uses DOI first, then exact Unicode-normalized alphanumeric titles with compatible years and no conflicting DOI. It avoids fuzzy merges that could combine distinct articles with similar titles. Original workbook, sheet, row number, payload, and merge basis remain available. Raw OpenAlex and Europe PMC records enrich matched works; they do not silently add a new unrelated corpus. Citation counts remain in source payloads and are not summed across databases. Related report and conference manifestations can remain separate, so the publication count is not necessarily the number of independent experiments. (Methodology (included in the complete knowledge-base ZIP), Import implementation (included in the complete knowledge-base ZIP))

The **24,833 authorship-affiliation rows** contain valuable organization context. The **4,505 institution-ID or unmerged raw-affiliation entries** are not distinct legal institutions: names, departments, laboratories, hospitals, and spelling variants can describe overlapping entities. Identifiers support canonical linking where available, while raw text preserves the evidence behind normalization. A supplied “verified affiliation” label stays a source claim until independently checked. A coauthor is not necessarily the person who operated the software, and a historical affiliation is not current employment or a purchasing record. (Statistics (included in the complete knowledge-base ZIP), Organization entries (included in the complete knowledge-base ZIP))

### Discovery signals and primary-use evidence remain separate

Among research-eligible candidates, nine have an explicit title mention, 138 have an explicit abstract mention, and 3,097 remain indexed or supplied matches without contextual confirmation. Software often appears only in methods, so a verified case can lack an abstract mention. Conversely, a search match or keyword can identify a review, bibliography, or comparison rather than actual use. These metadata fields therefore cannot be treated as verified-use totals. (Evidence counts (included in the complete knowledge-base ZIP))

The contextual layer has 29 entries labeled verified_primary_fulltext_use, five labeled full_text_verified, and one with primary full body returned by search. Ten entries retain explicit primary indexed methods passages across publisher, repository, government, and patent sources. Four remain weaker candidates: an abstract/keyword case, two secondary-preview cases, and a publisher mention without a reconstructed procedure. Of the 49 evidence entries, 43 match the supplied corpus and six are supplemental. Entries are not all independently inspected full-text papers or necessarily distinct studies: the PLA biodegradation paper has both a full-text entry and a repository-excerpt entry. (Contextual statistics (included in the complete knowledge-base ZIP), Case catalogue (included in the complete knowledge-base ZIP))

| Evidence tier | Supported interpretation | Unestablished interpretation |
|---|---|---|
| Indexed/supplied candidate | A traceable research lead | Actual software task |
| Title or abstract mention | Software appears in metadata | Complete methods, edition, or validated model |
| Primary indexed methods passage | Source explicitly reports the described step | Independent inspection of the complete article and affiliations |
| Inspected primary full text | Checked software task and surrounding context | Current customers, installed seats, or universal accuracy |

The year catalogue includes 12 pre-1992 candidates flagged for review. Its 1905 minimum is an indexed metadata value, not evidence of software use in 1905. A 1992 bibliographic review record, Kevin Moore's “TableCurve 3.0,” provides a historical product reference; its full text was not independently inspected and it does not establish a first release. The 1992 guard is a metadata-quality check rather than a proven launch date. (Date warnings (included in the complete knowledge-base ZIP), [1992 review record](https://doi.org/10.1021/ci00008a602))

Source-linked application snapshots include a 2000 NASA linear-alternator report, a 2001-header EPA mercury-leaching report, 2013 mosquito and ovarian-volume models, 2016 ankle-strength surfaces, 2018 adsorption kinetics, and recent ecology, biodegradation, and food-storage applications. They show research use across publication periods without establishing adoption dates or uninterrupted customer relationships. NASA report/conference manifestations and the EPA header/report-number discrepancy remain reconciliation issues. ([NASA report](https://ntrs.nasa.gov/api/citations/20000085855/downloads/20000085855.pdf?attachment=true), [EPA report](https://nepis.epa.gov/Exe/ZyPURL.cgi?Dockey=P1001NOY.TXT), [Mosquito study](https://pmc.ncbi.nlm.nih.gov/articles/PMC3637585/), [Wheat storage](https://pmc.ncbi.nlm.nih.gov/articles/PMC13464041/))

## 2. International affiliations establish breadth without measuring penetration

### Geography describes publications, not licenses

Country counts associate each eligible publication once with each available code, so multinational coauthorship overlaps. These are authorship metadata or supplied ISO associations, not institutional headquarters, experimental sites, license locations, or customer counts. **1,182 eligible candidates lack ISO geography and 566 lack affiliations.** Nonstandard supplied UK and XK claims remain separately preserved rather than silently counted as standard ISO records. Missing geography prevents a sound worldwide penetration estimate. (Country statistics (included in the complete knowledge-base ZIP), Complete country table (included in the complete knowledge-base ZIP))

| Country/territory metadata | Candidates | Country/territory metadata | Candidates |
|---|---:|---|---:|
| United States | 414 | Brazil | 339 |
| Germany | 118 | Vietnam | 114 |
| France | 109 | Russia | 108 |
| Poland | 97 | United Kingdom (GB) | 78 |
| Canada | 76 | South Korea | 76 |
| China | 70 | Spain | 66 |
| Australia | 62 | Romania | 54 |
| Italy | 50 | Argentina | 45 |
| Netherlands | 44 | Mexico | 41 |
| Bulgaria | 27 | Pakistan | 27 |
| Taiwan | 23 | Switzerland | 22 |
| South Africa | 21 | Portugal | 20 |
| Czechia | 20 | Egypt | 20 |

The table ranks this imported corpus, not national adoption. Country catalogues link every associated candidate. Large groups such as Vietnam and Russia need the same primary-method verification as smaller groups; metadata volume does not make software operations more certain. The contextual sample was selected for explanatory breadth and source accessibility, not statistically sampled to estimate verified-use prevalence. (Country catalogues (included in the complete knowledge-base ZIP))

| Region, for narrative orientation | Metadata examples | Contextualized applications |
|---|---|---|
| North America | US 414, Canada 76, Mexico 41 | Food-toxin calibration, ankle strength, Mexican snake physiology |
| Latin America/Caribbean | Brazil 339, Argentina 45, Colombia 15, Chile 10 | Crop interactions, fungal sensitivity, Amazonian seedling analysis |
| Europe | Germany 118, France 109, Poland 97, GB 78 | Sensor correction, MRI relaxometry, kinetics, release models, material surfaces |
| Asia | Vietnam 114, Korea 76, China 70, Taiwan 23 | Plant infection, food drying, exposure modeling, Indonesian preservation |
| Africa | South Africa 21, Egypt 20, Nigeria 9 | Malaria-vector development; Algerian machining remains a keyword lead |
| Oceania | Australia 62, New Zealand 16 | Wildlife toxicology and vector-ecology collaboration |

These are illustrative regional groupings, not regional totals. Primary affiliations independently connect Korean and Spanish institutions in potato-virus modeling, Hungarian and German institutions in green-lizard research, and South African/Australian institutions in mosquito studies. The mining cost example has a Swedish academic affiliation and Irish experimental context. Such distinctions prevent an author's country, a study site, and a publisher location from being mistaken for the same geography. ([Potato virus](https://pmc.ncbi.nlm.nih.gov/articles/PMC5378441/), [Green lizards](https://pmc.ncbi.nlm.nih.gov/articles/PMC11961467/), [Mosquitoes](https://pmc.ncbi.nlm.nih.gov/articles/PMC3637585/), [Mining](https://link.springer.com/article/10.1007/s41872-022-00188-1))

### Organization context is strongest when tied to a specific task

Sector metadata includes education (1,820 candidates), facility (539), government (471), Academic (173), healthcare (144), and company (40). These heterogeneous labels overlap and remain unmerged: facility does not necessarily mean industrial facility, while education and Academic are conceptually related. They describe source labels rather than seats, organizations, or exclusive market segments. (Sector counts (included in the complete knowledge-base ZIP))

Concrete examples are more useful than an unqualified institution list. INRAE and university groups collaborate with Germicopa in potato MRI; USDA/Illinois affiliations appear in analytical calibration; University of Iowa departments appear in ankle strength; wildlife toxicology combines private, government, and public research affiliations in Australia, New Zealand, and Finland. Boliden Tara Mines and Epiroc are acknowledged mining collaborators, not confirmed TableCurve purchasing accounts. All are publication-time associations. ([MRI](https://pmc.ncbi.nlm.nih.gov/articles/PMC9330452/), [Calibration](https://pmc.ncbi.nlm.nih.gov/articles/PMC10052129/), [Biomechanics](https://pmc.ncbi.nlm.nih.gov/articles/PMC5105238/), [Wildlife](https://pmc.ncbi.nlm.nih.gov/articles/PMC9913665/), [Mining](https://link.springer.com/article/10.1007/s41872-022-00188-1))

## 3. Published tasks connect TableCurve to diverse scientific questions

### Subject classifications guide discovery, while methods explain use

Keyword classification of titles/abstracts produces overlapping candidate counts: biology/medicine/pharmacology 1,182; environment/water 792; energy/thermal engineering 780; chemistry/materials 599; civil/mechanical/manufacturing 546; agriculture/soil 532; food science 397; mathematics/computing/methods 204; economics/business/social science 151; geoscience/mining 119; wood/forestry 70. Another 746 have no matching taxonomy keyword. These are subject labels, not verified software-task or scientific-validity assessments. (Domain counts (included in the complete knowledge-base ZIP))

### Agriculture and forestry: infection rates, treatment interactions, and mechanical responses

Choi and colleagues model temperature-dependent systemic Potato virus Y infection with a Lactin-type development-rate relationship and cumulative infection completion on physiological age. TableCurve 2D supplies fitted parameters for a rate-plus-transition workflow. Cavalcante and colleagues' fungal study combines cubic pH-growth curves for optima, salinity inhibition for EC50, and three/four-parameter logistic fungicide models. These examples show that one biological paper can require several equation behaviors. ([Plant infection, 2017](https://pmc.ncbi.nlm.nih.gov/articles/PMC5378441/), [Fungal sensitivity, 2020](https://pmc.ncbi.nlm.nih.gov/articles/PMC7560037/))

In soursop salinity/hydrogen-peroxide experiments, TableCurve 3D constructs response surfaces when factor interactions are significant; SISVAR handles the identified ANOVA/regression steps. Bellucia imperialis seedling work fits responses after significant ANOVA relationships. Forestry engineering uses TableCurve 2D to fit experimental and ABAQUS load-displacement curves before comparison. The latter's author-reported correlation percentages should not be relabeled as independently computed R-squared. ([Crop surfaces](https://pmc.ncbi.nlm.nih.gov/articles/PMC9920684/), [Amazonian seedlings](https://pmc.ncbi.nlm.nih.gov/articles/PMC10219434/), [Timber mechanics](https://bioresources.cnr.ncsu.edu/resources/structural-design-and-mechanical-properties-analysis-of-bamboo-wood-cross-laminated-timber/))

Soil and hydrology leads add moisture correction, temperature-normalized CO2 response against water-table depth, and water-level/discharge relationships. Soil cone-index correction remains abstract-level verification; the CO2 case has a primary publisher PDF; detention-pond methods have an explicit indexed publisher passage. Missing author-affiliation information is not invented from publisher geography. ([Soil correction](https://www.sciencedirect.com/science/article/abs/pii/S0167198797000159), [Soil CO2](https://www.aloki.hu/pdf/1403_423437.pdf), [Pond modeling](https://ascelibrary.com/doi/full/10.1061/%28ASCE%29EE.1943-7870.0001258))

### Ecology and environment: meaningful peaks, limits, rates, and exposure

Green-lizard performance curves yield thermal optimum, peak performance, and breadth above 80% of peak. Mexican snake models filter candidates by R-squared, then AICc, while retaining critical-temperature limits. Chiton curves use corrected AIC and derive optimum and zero-rate intercepts. Mosquito development models estimate nonlinear optima and rates while separate R analysis handles degree-days and tests. These sources demonstrate scientific interest in curve behavior and derived quantities, not only fit rank. ([Lizards](https://pmc.ncbi.nlm.nih.gov/articles/PMC11961467/), [Snakes](https://pmc.ncbi.nlm.nih.gov/articles/PMC11262299/), [Chitons](https://pmc.ncbi.nlm.nih.gov/articles/PMC11399262/), [Mosquitoes](https://pmc.ncbi.nlm.nih.gov/articles/PMC3637585/))

Paddy-soil pesticide remediation fits first-order exponential decay for degradation rates/half-lives and Andrews concentration-dependent kinetics. PLA tableware biodegradation fits modified Gompertz biogas-time curves for rate, lag, yield, and an extrapolated ultimate extent. EPA mercury-waste analysis correlates leachate concentration against Eh/pH with a reported R-squared of 0.96; the OCR formula is not reproduced as executable coefficients. PFOS/PFOA exposure work fits reused migration measurements rather than claiming new experiments for all data. ([Pesticides](https://pmc.ncbi.nlm.nih.gov/articles/PMC11133635/), [Biodegradation](https://pmc.ncbi.nlm.nih.gov/articles/PMC11902089/), [EPA surface](https://nepis.epa.gov/Exe/ZyPURL.cgi?Dockey=P1001NOY.TXT), [Food-contact exposure](https://pmc.ncbi.nlm.nih.gov/articles/PMC10178734/))

### Food science: transformations, assay calibration, and storage conditions

Apple drying uses equation search alongside Excel, while Statistica performs ANOVA/LSD. Potato-chip processing fits Henderson-Pabis moisture-time kinetics for treatment/temperature comparisons, with reported R-squared 0.901-0.978. Indonesian juice preservation fits survival relationships for LED and thermal treatments, deriving D-values and shape parameters and assessing R-squared/RMSE. These are condition-specific transformation models, not proof of efficacy in every product or processing regime. ([Apple drying](https://pmc.ncbi.nlm.nih.gov/articles/PMC8625333/), [Potato processing](https://pmc.ncbi.nlm.nih.gov/articles/PMC9310039/), [Juice preservation](https://pmc.ncbi.nlm.nih.gov/articles/PMC9483732/))

Portable mass-spectrometry calibration uses linear toxin-response relationships, whereas fumonisin LC-MS calibration uses a logistic dose-response equation. Apple-storage instruments use a humidity/temperature correction surface. Wheat-storage modeling filters 3D equation families for coefficient consistency, numerical stability, and interpretation as well as fit; the paper reports R-squared 0.82-0.97 and Nash-Sutcliffe efficiencies 0.95-0.99. Its rejection of complex families despite good fit provides a documented example of choosing interpretable relationships. ([T-2 toxin](https://pmc.ncbi.nlm.nih.gov/articles/PMC10052129/), [Fumonisins](https://pmc.ncbi.nlm.nih.gov/articles/PMC9412256/), [Sensors](https://pmc.ncbi.nlm.nih.gov/articles/PMC9920950/), [Wheat models](https://pmc.ncbi.nlm.nih.gov/articles/PMC13464041/))

### Biomedicine and pharmaceuticals: normative, strength, signal, and release models

Ovarian-volume research explicitly tests 310 candidate age-response models with reported Levenberg-Marquardt settings. It is normative research, not diagnostic approval. Ankle biomechanics models peak torque as a logistic surface against angle/velocity, with interpolation for isolated missing observations under stated rules. The physiological rationale for a family does not establish universal extrapolation reliability. ([Normative volume](https://pmc.ncbi.nlm.nih.gov/articles/PMC3760857/), [Strength surfaces](https://pmc.ncbi.nlm.nih.gov/articles/PMC5105238/))

Potato MRI fits multi-exponential relaxation, excludes low-SNR signals, and selects a bi-exponential model using global and parameter errors alongside R-squared. Pharmaceutical carrier papers use nonlinear regression for benzydamine release from casein/chitosan materials. Romanian dental biocomposite work names TableCurve with other tools but does not isolate its specific procedure; that case has lower modeling specificity. Vendor/version inconsistencies remain flagged rather than silently corrected. ([MRI](https://pmc.ncbi.nlm.nih.gov/articles/PMC9330452/), [Casein release](https://pmc.ncbi.nlm.nih.gov/articles/PMC8875778/), [Chitosan release](https://pmc.ncbi.nlm.nih.gov/articles/PMC10970358/), [Dental materials](https://pmc.ncbi.nlm.nih.gov/articles/PMC11510136/))

### Chemistry, materials, physics, and engineering: kinetics and compact surrogates

Palladium adsorption fits a difference-of-two-exponentials concentration-time model. TableCurve estimates empirical coefficients; Mathcad then relates those to kinetic constants. Romanian electrical-conductivity work fits first-degree surfaces against temperature/nanoparticle concentration, reporting R-squared 0.978, 0.994, and 0.958 within the tested range up to 333.15 K. Starch rheology fits Avrami-type modulus-time structuralization. Indexed nanoMIP methods support nonlinear binding-isotherm parameter estimation without reconstructing every uncertainty detail. ([Pd kinetics](https://link.springer.com/article/10.1007/s11144-018-1412-2), [Electrical properties](https://pmc.ncbi.nlm.nih.gov/articles/PMC10096806/), [Rheology](https://www.mdpi.com/1420-3049/26/13/3826), [Polymer binding](https://iris.unito.it/retrieve/30d7efe5-dcf7-4036-acb8-a764b4769897/pol24_16_532.pdf))

Concrete methods excerpts describe pore-distribution fitting and peak amplitude/mode/width. NASA uses an induced-EMF fit to summarize magnetostatic solutions for a Stirling-system alternator. Krypton sorption methods fit breakthrough curves and integrate their area. Compaction methods differentiate a fitted displacement curve to obtain speed. These cases expand the map beyond curve ranking into distribution descriptors, analytical surrogates, integrals, and derivatives, while indexed excerpts remain clearly distinguished from inspected full text. ([Concrete](https://www.mdpi.com/1996-1944/18/8/1716), [NASA](https://ntrs.nasa.gov/api/citations/20000085855/downloads/20000085855.pdf?attachment=true), [Krypton](https://www.tandfonline.com/doi/full/10.1080/00223131.2014.877404), [Compaction](https://www.sciencedirect.com/science/article/abs/pii/S0928098704000612))

Mining equipment analysis fits 42 months of maintenance/operating costs, extrapolates over a 120-month horizon, and uses MATLAB for discounted-cost optimization. Its 81-month source-reported replacement optimum is assumption-dependent; longer observations would improve fitting. A DOE guide gives an illustrative weighted trend/failure-cost example. Neither establishes current commercial deployment or forecast validation. ([Mining economics](https://link.springer.com/article/10.1007/s41872-022-00188-1), [DOE example](https://science.osti.gov/-/media/opa/pdf/processes-and-procedures/doe/g4133-13.pdf))

## 4. Shared workflows explain curves, surfaces, and custom equations

In these sources, 2D generally means one response against one predictor; 3D means one response against two predictors. It describes model geometry, not the physical dimensions of a specimen. The aphid paper explicitly uses both products for different equations. ([Aphid modeling](https://pmc.ncbi.nlm.nih.gov/articles/PMC7291301/))

| Workflow | 2D examples | 3D examples | Scientific quantity |
|---|---|---|---|
| Performance | Response against temperature | Aphid joint-response model | Optimum, peak, breadth |
| Kinetics/transitions | Release, concentration, biogas against time | Storage transfer/degradation | Rate, lag, plateau, threshold |
| Calibration | Signal against concentration | Humidity/temperature correction | Measurement relationship |
| Mechanics | Load against displacement | Torque against angle/velocity | Response description |
| Properties | Modulus against time | Conductivity against concentration/temperature | Fitted coefficients |
| Interactions | Single-factor response | Salinity/treatment effects | Joint experimental response |

Logistic/Gompertz curves support transitions, exponentials support time-course components, peak models support performance optima, distributions summarize pore measurements, and simple linear fits remain useful in calibration. Custom equations provide a scientifically specified relationship where appropriate. A patent methods example reports a Langmuir UDF with positive bounds and starting estimates; its patent status does not imply clinical efficacy or market adoption. Equation reconstruction requires checking units and exact syntax, not merely copying an OCR fragment. ([Langmuir UDF example](https://patents.google.com/patent/US9597313B2/en))

Several publications assess more than R-squared: snake and host-feeding studies use AICc; MRI considers signal and parameter errors; wheat storage rejects numerically or interpretively problematic families. Derived peaks, derivatives, integrals, plateaus, and thresholds can require stable behavior that an aggregate fit score does not guarantee. These are observed scientific practices in the examples, not a claim that one universal procedure was applied to the entire corpus. ([Snakes](https://pmc.ncbi.nlm.nih.gov/articles/PMC11262299/), [Host feeding](https://pmc.ncbi.nlm.nih.gov/articles/PMC11277535/), [MRI](https://pmc.ncbi.nlm.nih.gov/articles/PMC9330452/), [Wheat](https://pmc.ncbi.nlm.nih.gov/articles/PMC13464041/))

Tool boundaries recur: ABAQUS supplies simulations, Mathcad solves kinetic relationships, MATLAB optimizes costs, Scilab segments images, and SISVAR/Statgraphics perform separate statistics. TableCurve's documented role is the identified fitting/modeling step. Preserving that role makes the evidence credible and shows interoperability without attributing all conclusions or measurements to the product. ([Timber](https://bioresources.cnr.ncsu.edu/resources/structural-design-and-mechanical-properties-analysis-of-bamboo-wood-cross-laminated-timber/), [Kinetics](https://link.springer.com/article/10.1007/s11144-018-1412-2), [Mining](https://link.springer.com/article/10.1007/s41872-022-00188-1))

## 5. Evidence-led documentation can guide modernization and future enrichment

### Historical usage informs product design without proving AI benefits

**These publications describe classic TableCurve; they do not evaluate the new Codex/OpenAI or Claude integration or demonstrate AI-assisted reliability improvements.** Product-design inferences include explaining family choice, comparing simpler equations, retaining measured-domain limits, distinguishing empirical coefficients from mechanisms, and proposing reviewable UDF bounds/starts. Peak, transition, surface, calibration, and kinetic tutorials can mirror the verified scientific questions, but executable examples require authorized source data or clearly identified synthetic illustrations. Dataset redistribution rights were not collected for every case.

A reference example should include the question, source, historical affiliations, variables/units where verified, version as reported, equation family, fitted quantities, assessment criteria, source location, and caveats. This provides more value than a logo list. A safe public claim is that published studies report TableCurve in biological performance modeling, kinetics, calibration, and surfaces across disciplines, supported by representative primary citations. The 3,244-candidate/92-code statement must retain its metadata qualifications. Claims of 3,244 verified uses, customers in 92 countries, 4,505 customer organizations, or historical adoption of TC9 AI are unsupported.

### Search and maintenance keep the evidence usable

The portable directory includes README (included in the complete knowledge-base ZIP), publication CSV (included in the complete knowledge-base ZIP), JSON (included in the complete knowledge-base ZIP), SQLite with full-text search (included in the complete knowledge-base ZIP), numbered catalogue pages, country/domain catalogues, contextual evidence (included in the complete knowledge-base ZIP), inventory (included in the complete knowledge-base ZIP), and validation (included in the complete knowledge-base ZIP). Full-text search covers shared titles, authors, and organization metadata; source-derived classifications remain, while fetched full abstracts are not redistributed. Review evidence level and source claims after locating a record. Geographic filtering should distinguish affiliation from study location. Organization normalization should add reviewed canonical links without overwriting original strings.

Updates should fingerprint sources, retain original rows, apply DOI/title merges, attach verified methods separately, record retrieval/source location, rerun statistics, and note changes. Bibliographic integrity checks and scientific-context checks answer different questions. An inaccessible primary source remains excerpt-only; an ambiguous year remains a warning; a corrected affiliation should not erase its historical assertion.

Coverage is exhaustive for supplied publication rows, not for worldwide usage or all Scholar results. Paywalls, blocked pages, OCR, missing affiliations, multilingual aliases, incomplete software reporting, and private unpublished work limit the evidence. The contextual sample favors accessible text. Next enrichment should verify important candidate clusters, reconcile suspicious dates and manifestations, normalize organizations, and collect reproducible model details. Expanding a verified task library is more informative than simply inflating totals.

## Evidence for future documentation

TableCurve's strongest documented story is its role in turning measurements into interpretable quantities across disciplines, often as one specialist step in a larger analytical workflow. Connecting modernization to peaks, transitions, rates, surfaces, and calibration gives development concrete scientific purpose while leaving claims of accuracy improvement to current-product testing.

The knowledge base makes that story reviewable: discovery breadth, primary-use evidence, historical affiliations, and product inferences remain separate but connected. Further verification can turn a broad citation catalogue into a deeper reproducible model library whose claims retain their route back to actual methods.

## Appendix A. Detailed contextual evidence catalogue

The appended entries preserve all 49 evidence records, not 49 independent full-text studies. Their review classes, source locations, affiliations, variables, and limitations remain explicit. The complete 3,273-candidate catalogue is linked through the knowledge-base index (included in the complete knowledge-base ZIP).

### A01. Impact of food availability on the thermal performance curves of male European green lizards (Lacerta viridis).

**Authors and year:** Mészáros B, Jordán L, Molnár O, Török J. (2025). **Domain:** Ecology and thermal performance. **Reported software:** 2D, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Methods: individual thermal-performance curves; Table 1 and Figs S3-S4. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC11961467/))

**Published affiliation context:** HUN-REN Balaton Limnological Research Institute; Behavioural Ecology Group, Department of Systematic Zoology and Ecology, ELTE Eötvös Loránd University, Pázmány Péter Sétány 1/C; Leibniz Institute for Zoo and Wildlife Research; HUN-REN-ELTE-MTM Integrative Ecology Research Group, Pázmány Péter Sétány 1/C. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Body temperature versus locomotor performance; individual Kumaraswamy curves produce thermal optimum, peak performance and breadth above 80% of peak. **Interpretation limit:** Peak location and breadth rather than only residual goodness of fit. DOI: 10.1007/s00442-025-05699-z. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC11961467/))

### A02. Influence of Interannual Climate Variability on Wheat Quality During Long-Term Storage: Comparative Analysis and Mathematical Modeling.

**Authors and year:** Poetelea DP, Mosnegutu E, Tomozei C, Barsan N, Gaspar E, Mirila D, Balan M, Przydatek G. (2026). **Domain:** Food storage and grain quality. **Reported software:** 3D v4.0. **Evidence class:** verified_primary_fulltext_use. **Source location:** Model-selection methods and transfer/degradation results. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC13464041/))

**Published affiliation context:** Department of Environmental Engineering, Mechanical Engineering and Agritourism, Faculty of Engineering, “Vasile Alecsandri” University of Bacau; Faculty of Agricultural Sciences, Food Industry and Environmental Protection, “Lucian Blaga” University of Sibiu; Faculty of Mechanical Engineering and Transport, Technical University of Moldova, MD-2004 Chisinau, Moldova; Department of Engineering Science, University of Applied Sciences in Nowy Sącz, Zamenhofa 1a. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Storage time, atmospheric conditions and wheat quality; empirical transfer and degradation surfaces, including moisture, temperature, test weight, gluten and protein. Candidate equation families were filtered in Excel for accuracy, coefficient consistency, numerical stability and interpretation; R2 reported 0.82-0.97 and Nash-Sutcliffe efficiencies 0.95-0.99. **Interpretation limit:** Rejected complex Chebyshev/Fourier/sigmoid forms despite fit scores; selected database equation64 for transfer model. This is reported in-sample/model-assessment evidence, not universal validated predictive accuracy. DOI: 10.3390/foods15152726. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC13464041/))

### A03. A Model to Explain Temperature Dependent Systemic Infection of Potato Plants by Potato virus Y.

**Authors and year:** Choi KS, Del Toro F, Tenllado F, Canto T, Chung BN. (2017). **Domain:** Plant pathology and thermal epidemiology. **Reported software:** 2D; Jandel1996 citation. **Evidence class:** verified_primary_fulltext_use. **Source location:** Development-rate model and infection completion sections. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC5378441/))

**Published affiliation context:** Research Institute of Climate Change and Agriculture, National Institute of Horticultural and Herbal Science, Rural Development Administration, Jeju 63240, Korea; Biological Research Center, Spanish Council for Scientific Research (CIB-CSIC), Madrid 28040, Spain. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Temperature-dependent systemic Potato virus Y infection: Lactin-type development-rate model and a cumulative infection-completion model on physiological age; fitted thermal maximum and response parameters. **Interpretation limit:** Explicit process-rate plus cumulative transition workflow. DOI: 10.5423/ppj.nt.06.2016.0144. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC5378441/))

### A04. Non-Lethal Dose-Response Models Replace Lethal Bioassays for Predicting the Hazard of Para-Aminopropiophenone to Australian Wildlife.

**Authors and year:** Marks CA, Allen L, Lindeberg H. (2023). **Domain:** Wildlife toxicology. **Reported software:** Tablecurve mentioned; source confounds with SPSS Version14. **Evidence class:** verified_primary_fulltext_use. **Source location:** Dose-response statistical methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC9913665/))

**Published affiliation context:** Nocturnal Wildlife Research Pty Ltd.; Manaaki Whenua Landcare Research, Lincoln P.O. Box 69040, New Zealand; Queensland Department of Agriculture Fisheries and Forestry, Toowoomba, QLD 4350, Australia; Natural Resources Institute Finland (Luke), Production Systems, Halolantie 31 A, FI-71750 Maaninka, Finland. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** PAPP dose versus peak methemoglobin response; linear/nonlinear fits estimate doses giving 50% and80% MetHb, with 95% confidence and prediction intervals and comparison to existing lethal-dose data. **Interpretation limit:** R2, significance and AIC used together. Do not normalize source SPSS/Tablecurve wording into a claimed TableCurve version. DOI: 10.3390/ani13030472. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC9913665/))

### A05. Importance of Host Feeding in the Biological Control of Insect Pests: Case Study of Egg Parasitoid Species (Hymenoptera: Chalcidoidea: Trichogrammatidae).

**Authors and year:** Cabello T, Gallego JR, Lopez I, Gamez M, Garay J. (2024). **Domain:** Agricultural biocontrol. **Reported software:** 2D v5.0. **Evidence class:** verified_primary_fulltext_use. **Source location:** Statistical/model-fitting paragraph. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC11277535/))

**Published affiliation context:** Centre for Agribusiness Biotechnology Research, University of Almería, La Cañada de S. Urbano, s/n, ES-04120 Almería, Spain; Department of Mathematics, University of Almería, La Cañada de S. Urbano, s/n, ES-04120 Almería, Spain; HUN-REN Centre for Ecological Research, Institute of Evolution. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Nonlinear Equations2-4 for host feeding/parasitoid biological-control response fitted by Marquardt algorithm; AICc selects competing models. **Interpretation limit:** Small-sample model selection is explicit; equations must be examined before interpreting specific functional-response parameters. DOI: 10.3390/insects15070496. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC11277535/))

### A06. Characterization of the Water Shortage Effects on Potato Tuber Tissues during Growth Using MRI Relaxometry and Biochemical Parameters.

**Authors and year:** Hajjar G, Quellec S, Challois S, Bousset-Vaslin L, Joly G, Langrume C, Deleu C, Leport L, Musse M. (2022). **Domain:** Plant imaging and water-stress phenotyping. **Reported software:** TableCurve, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Section4.2; Supplementary FigS2. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC9330452/))

**Published affiliation context:** UR OPAALE, INRAE; UMR IGEPP, INRAE, Institut Agro-Agrocampus Ouest, Université de Rennes 1, Domaine de la Motte; Germicopa. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** MRI echo time versus signal from potato cortex, flesh, pith; multi-exponential T2 relaxation fitted using Levenberg-Marquardt. Signals below SNR 7 excluded; number of components selected with R2, global fitting error and individual parameter errors; optimum bi-exponential model. **Interpretation limit:** TableCurve fitting distinct from Scilab segmentation and Statgraphics downstream statistics. DOI: 10.3390/plants11151918. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC9330452/))

### A07. Effect of Osmotic Pretreatment Combined with Vacuum Impregnation or High Pressure on the Water Diffusion Coefficients of Convection Drying: Case Study on Apples.

**Authors and year:** Janowicz M, Ciurzyńska A, Lenart A. (2021). **Domain:** Food drying and mass transfer. **Reported software:** 2D, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Statistical analysis. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC8625333/))

**Published affiliation context:** Department of Food Engineering and Process Management, Institute of Food Sciences, Warsaw University of Life Sciences, SGGW. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Apple osmotic pretreatment and convection drying: mathematical elaboration/data equation search in Excel and TableCurve 2D; relationships support water-diffusion analysis. **Interpretation limit:** ANOVA/LSD performed separately in Statistica; no TableCurve version or exact equation attributed from this mention alone. DOI: 10.3390/foods10112605. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC8625333/))

### A08. Influence of Foliar Application of Hydrogen Peroxide on Gas Exchange, Photochemical Efficiency, and Growth of Soursop under Salt Stress.

**Authors and year:** Capitulino JD, Lima GS, Azevedo CAV, Silva AARD, Arruda TFL, Soares LADA, Gheyi HR, Dantas Fernandes P, Sobral de Farias MS, Silva FAD, Dias MDS. (2023). **Domain:** Agronomy and plant salinity stress. **Reported software:** 3D, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Statistical analysis. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC9920684/))

**Published affiliation context:** Academic Unit of Agricultural Engineering, Federal University of Campina Grande, Campina Grande 58430-380, PB, Brazil; Academic Unit of Agrarian Sciences, Federal University of Campina Grande, Pombal 58840-000, PB, Brazil. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Soursop gas exchange, photochemistry and growth as affected by irrigation salinity and foliar hydrogen peroxide; response surfaces created where factorial interactions were significant. **Interpretation limit:** SISVAR handles regression and ANOVA. Do not attribute all statistical analyses to TableCurve. DOI: 10.3390/plants12030599. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC9920684/))

### A09. Characterization of Five New Monosporascus Species: Adaptation to Environmental Factors, Pathogenicity to Cucurbits and Sensitivity to Fungicides.

**Authors and year:** Cavalcante ALA, Negreiros AMP, Tavares MB, Barreto ÉDS, Armengol J, Sales Júnior R. (2020). **Domain:** Crop pathology and fungicide sensitivity. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Methods: pH, salinity and fungicide experiments. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC7560037/))

**Published affiliation context:** Departamento de Ciências Agronômicas e Florestais, Universidade Federal Rural do Semi-Árido, Mossoró RN 59625-900, Brazil; Instituto Agroforestal Mediterráneo, Universitat Politècnica de València, Camino de Vera S/N. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Monosporascus fungal growth versuspH fitted with cubic polynomials to locate optimum; salinity inhibition fits estimate EC50; three/four-parameter logistic fits support fungicide EC50 estimates. **Interpretation limit:** One study contains both optimum-finding and concentration-response transition workflows. DOI: 10.3390/jof6030169. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC7560037/))

### A10. Pioneer Tree Bellucia imperialis (Melastomataceae) from Central Amazon with Seedlings Highly Dependent on Arbuscular Mycorrhizal Fungi.

**Authors and year:** Bento RA, de Novais CB, Saggin-Júnior OJ, de Oliveira LA, Sampaio PTB. (2023). **Domain:** Tropical forestry and mycorrhizae. **Reported software:** TableCurve 3.01, dimensionality not stated. **Evidence class:** verified_primary_fulltext_use. **Source location:** Statistics paragraph. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC10219434/))

**Published affiliation context:** Postgraduate Program in Tropical Forest Sciences (PPG-CFT) at the National Research Institute of Amazonas (INPA), Federal Institute of Education, Science and Technology of Amazonas (IFAM), Manaus 69086-475, Brazil; Department of Soil at the Federal Rural University of Rio de Janeiro (UFRRJ), Seropédica 23897-000, Brazil; Laboratory of Mycorrhiza of the Brazilian Agricultural Research Corporation—Embrapa Agrobiology, Seropédica 23891-000, Brazil; Laboratory of Ecology and Biotechnology of Microorganisms from the Amazon, Tropical Forestry of the National Research Institute of Amazonas (INPA), Manaus 69060-001, Brazil. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Bellucia imperialis seedling responses to dose and inoculation treatments; regression analyses after significant ANOVA relationships. **Interpretation limit:** INPA, IFAM, UFRRJ and Embrapa reported affiliations; version 3.01 not an inference of TableCurve 3D. DOI: 10.3390/jof9050540. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC10219434/))

### A11. Efficacy of novel bacterial consortia in degrading fipronil and thiobencarb in paddy soil: a survey for community structure and metabolic pathways.

**Authors and year:** Faridy N, Torabi E, Pourbabaee AA, Osdaghi E, Talebi K. (2024). **Domain:** Environmental biodegradation and pesticide remediation. **Reported software:** 2D v5.0. **Evidence class:** verified_primary_fulltext_use. **Source location:** Kinetic models, Eqs1-3. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC11133635/))

**Published affiliation context:** Department of Plant Protection, Faculty of Agriculture, College of Agriculture and Natural Resources, University of Tehran, Karaj, Iran; Department of Soil Science, Faculty of Agriculture, College of Agriculture and Natural Resources, University of Tehran, Karaj, Iran. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Fipronil and thiobencarb concentration versus time fitted to first-order exponential equations for degradation rates and half-lives; Andrews model fits concentration-dependent consortia degradation kinetics. **Interpretation limit:** Separates time-decay estimation from substrate-inhibition kinetics. DOI: 10.3389/fmicb.2024.1366951. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC11133635/))

### A12. Development modeling of Lucilia sericata (Diptera: Calliphoridae).

**Authors and year:** Roe A, Higley LG. (2015). **Domain:** Forensic entomology and insect development. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Stage-transition modeling. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC4358662/))

**Published affiliation context:** Biology Program, College of Saint Mary, Omaha, NE, United States; School of Natural Resources, University of Nebraska-Lincoln, Lincoln, NE, United States. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Lucilia sericata stage proportions versus time at each temperature fitted with one of four Gaussian functions; resulting durations/probit models identify50% transitions. **Interpretation limit:** TableCurve and GraphPad Prism jointly named; avoid attributing every step exclusively. DOI: 10.7717/peerj.803. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC4358662/))

### A13. Development, Reproduction, and Life Table Parameters of the Foxglove Aphid, Aulacorthum solani Kaltenbach (Hemiptera: Aphididae), on Soybean at Constant Temperatures.

**Authors and year:** Seo BY, Kim EY, Ahn JJ, Kim Y, Kang S, Jung JK. (2020). **Domain:** Agricultural insect population dynamics. **Reported software:** 2D v5.01; 3D v4.0. **Evidence class:** verified_primary_fulltext_use. **Source location:** Mathematical models paragraph. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC7291301/))

**Published affiliation context:** Crop Protection Division, National Academy of Agricultural Science, Rural Development Administration, Wanju-Gun, Jeollabuk-do 55365, Korea; Crop Cultivation and Environment Research Division, National Institute of Crop Science, Rural Development Administration, Suwon-si, Gyeonggi-do 16429, Korea; Research Institute of Climate Change and Agriculture, National Institute of Horticultural & Herbal Science, Rural Development Administration, Jeju-si, Jeju-do 63240, Korea; Department of Plant Medicals, Andong National University, Andong-si, Gyeongsangbuk-do 36729, Korea; College of Biotechnology & Bioengineering, Dankook University, Cheonan-si, Chungcheongnam-do 31116, Korea. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Soybean aphid development, reproduction and life-table temperature responses; all two-dimensional model parameters fitted in2D and Equation8 three-dimensional model in3D. **Interpretation limit:** Models chosen for biological parameter/derivative meaning; precise Equation8 response should be taken from source before reconstruction. DOI: 10.3390/insects11050296. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC7291301/))

### A14. Physiological thermal responses of three Mexican snakes with distinct lifestyles.

**Authors and year:** Figueroa-Huitrón R, Díaz de la Vega-Pérez A, Plasman M, Pérez-Mendoza HA. (2024). **Domain:** Reptile thermal ecology. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Thermal performance curves; TableS2. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC11262299/))

**Published affiliation context:** Laboratorio de Ecología Evolutiva y Conservación de Anfibios y Reptiles, Facultad de Estudios Superiores Iztacala, UNAM, Tlalnepantla, Estado de México, Mexico; Posgrado en Ciencias Biológicas, Unidad de Posgrado, Universidad Nacional Autónoma de México, Ciudad de México, Mexico; Consejo Nacional de Humanidades Ciencias y Tecnologías-Centro Tlaxcala de Biología de la Conducta, Universidad Autónoma de Tlaxcala, Tlaxcala, Mexico; Centro Tlaxcala de Biología de la Conducta, Universidad Autónoma de Tlaxcala, Tlaxcala, Mexico. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Temperature versus mean swimming speed for three snakes; zero-speed limits set at measured critical temperatures; candidates filtered R2>0.9 then lowest AICc; derives speed maximum, optimum, thermal safety margins and B80. **Interpretation limit:** Boundary constraints and small-sample penalties appear explicitly. DOI: 10.7717/peerj.17705. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC11262299/))

### A15. Physiological resilience of intertidal chitons in a persistent upwelling coastal region.

**Authors and year:** Fernández C, Poupin MJ, Lagos NA, Broitman BR, Lardies MA. (2024). **Domain:** Marine physiological ecology. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Heart-rate thermal-performance methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC11399262/))

**Published affiliation context:** Laboratorio de Bioingeniería, Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago, Chile; Center of Applied Ecology and Sustainability (CAPES), Santiago, Chile; Millennium Nucleus for the Development of Super Adaptable Plants (MN-SAP), Santiago, Chile; Centro de Investigación E Innovación, Para El Cambio Climático (CiiCC), Facultad de Ciencias, Universidad Santo Tomás, Santiago, Chile; Instituto Milenio de Socio-Ecología Costera (SECOS), Santiago, Chile; Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Santiago, Viña del Mar, Chile. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Chiton heart rate versus experimental temperature across three coastal populations; compares functions by small-sample-corrected AIC, derives optimum and zero-rate critical temperature intercepts plus thermal breadth. **Interpretation limit:** Physiological peaks and boundaries support population comparisons; source separates monitoring from curve fitting. DOI: 10.1038/s41598-024-72488-8. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC11399262/))

### A16. Detection of T-2 Toxin in Wheat and Maize with a Portable Mass Spectrometer.

**Authors and year:** Maragos CM. (2023). **Domain:** Food-safety analytical calibration. **Reported software:** TableCurve, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Calibration and LOD/LOQ methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC10052129/))

**Published affiliation context:** Mycotoxin Prevention and Applied Microbiology Research Unit, National Center for Agricultural Utilization Research, Agricultural Research Service, United States Department of Agriculture. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Portable mass-spectrometer toxin signals or isotope-standard response ratios versus T-2/HT-2 concentration; first-order linear calibration; detection and quantitation thresholds calculated at 3 and10 control standard deviations. **Interpretation limit:** USDA-ARS reported research use; no implication of agency-wide procurement. DOI: 10.3390/toxins15030222. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC10052129/))

### A17. Measurement of Fumonisins in Maize Using a Portable Mass Spectrometer.

**Authors and year:** Maragos CM, Barnett K, Morgan L, Vaughan MM, Sieve KK. (2022). **Domain:** Food-safety analytical calibration. **Reported software:** TableCurve, version unspecified; equation8013. **Evidence class:** verified_primary_fulltext_use. **Source location:** Internal-standard/calibration methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC9412256/))

**Published affiliation context:** Mycotoxin Prevention and Applied Microbiology Research Unit, National Center for Agricultural Utilization Research, Agricultural Research Service, USDA; Agricultural Products Inspection, Illinois Department of Agriculture. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Fumonisin concentration versus matrix-matched detector response; portable-MS calibration linear; LC-MS calibration logistic dose-response using database equation8013. **Interpretation limit:** Assay calibration can need transitions as well as straight lines. DOI: 10.3390/toxins14080523. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC9412256/))

### A18. 3D strength surfaces for ankle plantar- and dorsi-flexion in healthy adults: an isometric and isokinetic dynamometry study.

**Authors and year:** Hussain SJ, Frey-Law L. (2016). **Domain:** Human biomechanics and rehabilitation. **Reported software:** 3D, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Missing data and3D strength-surface models; Eq1. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC5105238/))

**Published affiliation context:** Department of Health and Human Physiology, The University of Iowa, E102 Field House, Iowa City, IA 52242 USA; Department of Physical Therapy and Rehabilitation Science, The University of Iowa. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Ankle peak torque versus joint angle and angular velocity: logistic strength surfaces fitted for men/women and plantar/dorsi-flexion. Subject-specific3D interpolation imputes isolated missing measurements under explicit exclusion rules. **Interpretation limit:** Physiological extrapolation rationale favored logistic over polynomial; not proof every extrapolation is reliable. DOI: 10.1186/s13047-016-0174-1. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC5105238/))

### A19. Casein Microgels as Benzydamine Hydrochloride Carriers for Prolonged Release.

**Authors and year:** Milenkova S, Pilicheva B, Uzunova Y, Yovcheva T, Marudova M. (2022). **Domain:** Pharmaceutical delivery kinetics. **Reported software:** 2D v5.01; vendor misattributed in source. **Evidence class:** verified_primary_fulltext_use. **Source location:** Statistical-analysis methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC8875778/))

**Published affiliation context:** Department of Physics, Faculty of Physics and Technology, University of Plovdiv “Paisii Hilendarski”; Faculty of pharmacy, Medical University of Plovdiv; Research Institute, Medical University of Plovdiv. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Benzydamine hydrochloride release from casein microgels; TableCurve non-linear regression used for drug-release modeling. **Interpretation limit:** Preserve version but flag source Sigma-Aldrich publisher attribution as bibliographic inconsistency. DOI: 10.3390/ma15041333. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC8875778/))

### A20. Spray-Dried Chitosan Hydrogel Particles as a Potential Delivery System for Benzydamine Hydrochloride.

**Authors and year:** Milenkova S, Ambrus R, Mukhtar M, Pilicheva B, Marudova M. (2024). **Domain:** Pharmaceutical delivery kinetics. **Reported software:** 2D v5.01; vendor misattributed in source. **Evidence class:** verified_primary_fulltext_use. **Source location:** Statistical-analysis methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC10970358/))

**Published affiliation context:** Faculty of Physics and Technology, University of Plovdiv “Paisii Hilendarski”; Faculty of Pharmacy, Institute of Pharmaceutical Technology and Regulatory Affairs, University of Szeged, H-6720 Szeged, Hungary; Department of Pharmaceutical Sciences, Faculty of Pharmacy, Medical University of Plovdiv; Research Institute, Medical University of Plovdiv. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Benzydamine release from spray-dried chitosan hydrogel particles; nonlinear regression and mathematical modeling of release process inTableCurve. **Interpretation limit:** Do not treat University affiliations as current employment or purchaser identities. DOI: 10.3390/gels10030189. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC10970358/))

### A21. Topical Biocomposites Based on Collagen, Hyaluronic Acid and Metronidazole as Periodontitis Treatment.

**Authors and year:** Kaya MGA, Simonca AG, Rau I, Coman AE, Marin MM, Popa L, Trusca R, Dinu-Pirvu CE, Ghica MV. (2024). **Domain:** Dental biomaterials. **Reported software:** 2D; source version wording vs.01 is ambiguous. **Evidence class:** verified_primary_fulltext_use. **Source location:** Statistical-analysis paragraph. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC11510136/))

**Published affiliation context:** Department of Collagen, National Research and Development Institute for Textiles and Leather—Division of Leather and Footwear Research Institute; Faculty of Chemical Engineering and Biotechnology, National University of Science and Technology Politehnica Bucharest; Department of Physical and Colloidal Chemistry, Faculty of Pharmacy, “Carol Davila” University of Medicine and Pharmacy; Innovative Therapeutic Structures Research and Development Centre (InnoTher), “Carol Davila” University of Medicine and Pharmacy. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Collagen/hyaluronic acid/metronidazole periodontitis biocomposites; TableCurve named withPrism andExcel for statistical analysis. **Interpretation limit:** Confirmed tool use, but specific individual TableCurve model procedure not isolated by this mention; lower specificity than kinetic-model cases. DOI: 10.3390/ph17101336. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC11510136/))

### A22. Anaerobic Biodegradation of Polylactic Acid-Based Items: A Specific Focus on Disposable Tableware Products.

**Authors and year:** Falzarano M, Polettini A, Pomi R, Rossi A, Zonfa T, Bracciale MP, Gabrielli S, Sarasini F, Tirillò J. (2025). **Domain:** Environmental waste biodegradation. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Biogas modeling; Equation1. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC11902089/))

**Published affiliation context:** Department of Civil, Building and Environmental Engineering, Sapienza University of Rome; Department of Chemical Engineering Materials Environment, Sapienza University of Rome; School of Science and Technology, Chemistry Division. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Biogas production versus time during anaerobic biodegradation ofPLA tableware; modified Gompertz fit estimates kinetic parameters and extrapolated ultimate biodegradation degree. **Interpretation limit:** Gompertz transition/lag curves; extrapolated ultimate extent remains model-dependent. DOI: 10.3390/ma18051186. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC11902089/))

### A23. Resistance of Eupenicillium javanicum mold spores to the light-emitting diode (LED), LED-assisted thermal and thermal processing in strawberry and apple juices.

**Authors and year:** Evelyn, Chairul, Aryuda S, Ainunnisa I. (2022). **Domain:** Food microbiology and preservation. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Inactivation modeling methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC9483732/))

**Published affiliation context:** Department of Chemical Engineering, University of Riau, Pekanbaru. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Log relative surviving mold-spore count versusLED dose/time orthermal processing; linear/nonlinear survival models fitted; D-values and shape parameters estimated; R2 andRMSE check suitability. **Interpretation limit:** Two experiments andduplicates reported; model adequacy not guarantee across all food matrices. DOI: 10.1016/j.crfs.2022.09.010. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC9483732/))

### A24. Measurement of Water Vapor Condensation on Apple Surfaces during Controlled Atmosphere Storage.

**Authors and year:** Linke M, Praeger U, Neuwald DA, Geyer M. (2023). **Domain:** Postharvest storage instrumentation. **Reported software:** 3D, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Sensor calibration methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC9920950/))

**Published affiliation context:** Department of Horticultural Engineering, Leibniz Institute for Agricultural Engineering and Bioeconomy (ATB); Lake of Constance Research Centre for Fruit Cultivation (KOB). Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Measured versus reference humidity and temperature for sensors inapple storage; nonlinear multiple regression generates correction surface from five humidity calibration points at 1, 5, 10 C. **Interpretation limit:** TableCurve can underpin measurement correction rather than direct biological outcome modeling. DOI: 10.3390/s23031739. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC9920950/))

### A25. Growth and Decay of a Planktonic Microbial Culture.

**Authors and year:** Schiraldi A. (2020). **Domain:** Microbial growth and decay methodology. **Reported software:** TABLECURVE, Jandel, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Data transfer/best-fit methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC7204161/))

**Published affiliation context:** Department of Chemistry, Division of Physical Chemistry, University of Milan. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Reuses microbial time-count data exported totwo-columnExcel arrays; preliminary spline fitting seeds parameters for growth/decay model and reduced-variable master plots. **Interpretation limit:** Primary mathematical analysis of reused experimental data, not an independently measured culture dataset. DOI: 10.1155/2020/4186468. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC7204161/))

### A26. Mitigation of Acrylamide in Potato Chips by Pre-drying and Pulsed Electric Field Treatment.

**Authors and year:** Liu C, Zhang R, Vorobiev E, Grimi N. (2022). **Domain:** Food frying and quality optimization. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Statistical analysis andResults, Eq4/Fig1. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC9310039/))

**Published affiliation context:** School of Health Science and Engineering, University of Shanghai for Science and Technology, Shanghai, China; ESCOM, TIMR (Transformations Intégrées de la Matière Renouvelable), Centre de Recherche Royallieu, Université de Technologie de Compiègne, Compiègne, France; National R&D Center for Se-Rich Agricultural Products Processing, Hubei Engineering Research Center for Deep Processing of Green Se-Rich Agricultural Products, School of Modern Industry for Selenium Science and Engineering, Wuhan Polytechnic University, Wuhan, China. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Moisture ratio versus frying time fitted withHenderson-Pabis kinetics foruntreated andPEF-treated potato chips; estimates rate constants andR2 at 120, 150, 180 C. ReportedR2=0.901-0.978. **Interpretation limit:** LSD comparison done separately; method-specific rate estimates, not broadproduct efficacy. DOI: 10.3389/fnut.2022.919634. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC9310039/))

### A27. Health Risk Exposure Assessment of Migration of Perfluorooctane Sulfonate and Perfluorooctanoic Acid from Paper and Cardboard in Contact with Food under Temperature Variations.

**Authors and year:** You SH, Yu CC. (2023). **Domain:** Food-contact chemical exposure assessment. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Migration rates methods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC10178734/))

**Published affiliation context:** Institute of Food Safety and Risk Management, National Taiwan Ocean University, Keelung City 20224, Taiwan. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** ReusesPFOS/PFOA migration measurements atlow/high temperatures; curve fits migration rates tosupport exposure risk assessment. **Interpretation limit:** Data originate prior experimentalpapers, not necessarilynew migration experiments. DOI: 10.3390/foods12091764. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC10178734/))

### A28. Stable and fluctuating temperature effects on the development rate and survival of two malaria vectors, Anopheles arabiensis and Anopheles funestus

**Authors and year:** Lyons Candice L; Coetzee Maureen; Chown Steven L (2013). **Domain:** Vector ecology and climate response. **Reported software:** 2D v5.01. **Evidence class:** verified_primary_fulltext_use. **Source location:** Development rate statistical analysis; additionalfiles5-10. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC3637585/))

**Published affiliation context:** Centre for Invasion Biology, Department of Botany and Zoology, Stellenbosch University; Malaria Entomology Research Unit, School of Pathology, Faculty of Health Sciences, University of the Witwatersrand, Johannesburg, South Africa; School of Biological Sciences, Monash University, Victoria. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Mosquito development rate versus temperature; nonlinear curves identifythermal optimum andmaximum rate forlife stages ofAnopheles arabiensis/funestus.25 replicate curves usedperstage/species; mostR2>0.90exceptsomepupalfits. **Interpretation limit:** TableCurve estimatesnonlinearpeaks; R handleslinear degree-daysand t-tests. DOI: 10.1186/1756-3305-6-104. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC3637585/))

### A29. Ovarian Volume throughout Life: A Validated Normative Model

**Authors and year:** Kelsey TW; Dodwell SK; Wilkinson AG; Greve T; Andersen CY; Anderson RA; Wallace WHB (2013). **Domain:** Biomedical normative modeling. **Reported software:** 2D, version unspecified. **Evidence class:** verified_primary_fulltext_use. **Source location:** Model-fittingmethods. ([Primary source](https://pmc.ncbi.nlm.nih.gov/articles/PMC3760857/))

**Published affiliation context:** School of Computer Science, University of St Andrews, St Andrews, Fife, United Kingdom; School of Medicine, University of Edinburgh, Edinburgh, United Kingdom; Department of Paediatric Radiology, Royal Hospital for Sick Children, Edinburgh, United Kingdom; Laboratory of Reproductive Biology, Section 5712, The Juliane Marie Centre for Women, Children and Reproduction, University Hospital of Copenhagen, University of Copenhagen, Copenhagen, Denmark; MRC Centre for Reproductive Health, Queens Medical Research Institute, University of Edinburgh, Edinburgh, United Kingdom; Department of Haematology/Oncology, Royal Hospital for Sick Children, Edinburgh, United Kingdom; University of Kansas Medical Center, United States of America. Historical affiliations do not establish current employment or license ownership.

**Modeling task:** Age versuslog-adjusted ovarianvolume; 310candidate modelstriedandranked byR2, withLevenberg-Marquardt fitting to 6significant figures within 1500iterations; artificialzero valuesremovedwhen computing fitstatistics. **Interpretation limit:** Primarydatasetmodeling; do notequate normativecurve withmedicaldiagnostic approval. DOI: 10.1371/journal.pone.0071465. ([Methods and context](https://pmc.ncbi.nlm.nih.gov/articles/PMC3760857/))

### A30. Experimental Study on Electrical Conductivity of Several [C4mim][BF4] Ionic-Liquid-Based Nanocolloids

**Authors and year:** Elena Ionela Chereches; Alina Adriana Minea (2023). **Domain:** Thermophysical-property response surfaces. **Reported software:** 3D. **Evidence class:** full_text_verified. **Source location:** Section 4.2, Eqs 6-8, Table 5. ([Source](https://pmc.ncbi.nlm.nih.gov/articles/PMC10096806/))

**Historical organization/geography context:** Gheorghe Asachi Technical University of Iasi; Romania. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Measured electrical conductivity was correlated against temperature and nanoparticle mass concentration using Table Curve 3D v4.0.01. Three first-degree regression surfaces for alumina, ZnO and MWCNT ionanofluids reported R-squared 0.978, 0.994 and 0.958, with adjusted R-squared, standard error and F-statistic. Fits apply only within investigated composition and temperature ranges up to 333.15 K. **Interpretation limit:** The source expressly calls these polynomial regressions; the displayed equations are first degree. Do not call the fits universal physical laws. DOI: 10.3390/nano13071224. ([Source](https://pmc.ncbi.nlm.nih.gov/articles/PMC10096806/))

### A31. Structural design and mechanical properties analysis of bamboo-wood cross-laminated timber

**Authors and year:** Chao Li; Xilong Wang; Yizhuo Zhang (2020). **Domain:** Mechanical characterization and simulation comparison. **Reported software:** 2D. **Evidence class:** full_text_verified. **Source location:** Data Fitting; Fig8; Eqs3-6. ([Source](https://bioresources.cnr.ncsu.edu/resources/structural-design-and-mechanical-properties-analysis-of-bamboo-wood-cross-laminated-timber/))

**Historical organization/geography context:** Northeast Forestry University (corpus metadata; affiliation not independently checked here); China (corpus affiliation). Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve 2D v5.01 fitted experimental and ABAQUS simulated load-displacement curves before comparison by a cost/error function. Authors report correlations 99.95% and99.99% for specimen curves and99.84% and99.99% for board curves. **Interpretation limit:** Author-reported correlation percentages should not be relabeled as independently computed R-squared. DOI: 10.15376/biores.15.3.5417-5432. ([Source](https://bioresources.cnr.ncsu.edu/resources/structural-design-and-mechanical-properties-analysis-of-bamboo-wood-cross-laminated-timber/))

### A32. Kinetic modeling of the adsorption process of Pd(II) complex ions onto activated carbon

**Authors and year:** Marek Wojnicki; Krzysztof Fitzner (2018). **Domain:** Adsorption kinetics and mechanistic parameter estimation. **Reported software:** unspecified. **Evidence class:** full_text_verified. **Source location:** Kinetic modeling; Eq7 and Eqs8-11. ([Source](https://link.springer.com/article/10.1007/s11144-018-1412-2))

**Historical organization/geography context:** AGH University of Science and Technology, Faculty of Non-Ferrous Metals, Krakow; Poland. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve estimated A, B, gamma1, gamma2 in a difference-of-two-exponentials model fitted to experimental Pd concentration-time data. Mathcad subsequently solved relationships between those empirical parameters and observed rate constants; carbon loading, initial Pd concentration and temperature effects were analyzed. **Interpretation limit:** TableCurve did the curve fit; Mathcad solved the kinetic coefficient system. Do not attribute whole modeling workflow to TableCurve. DOI: 10.1007/s11144-018-1412-2. ([Source](https://link.springer.com/article/10.1007/s11144-018-1412-2))

### A33. Development of an economic replacement time model for mining equipment: a case study

**Authors and year:** Hussan Al-Chalabi (2022). **Domain:** Industrial asset lifecycle forecasting. **Reported software:** 2D. **Evidence class:** full_text_verified. **Source location:** Introduction; Sec3.2; Figs4-6. ([Source](https://link.springer.com/article/10.1007/s41872-022-00188-1))

**Historical organization/geography context:** Lulea University of Technology; Boliden Tara Mines and Epiroc acknowledged as collaborators; Sweden affiliation; Ireland mine context. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve 2D fitted maintenance and operating costs over 42 months and extended their trends across a 120 month equipment-life horizon. MATLAB minimized total discounted ownership cost and performed sensitivity analysis. The study reports81 months as optimal replacement time under its identical-rig and operating-condition assumptions. **Interpretation limit:** Historical use of extrapolation is not proof of forecast accuracy. The author says longer records would have improved fitting. DOI: 10.1007/s41872-022-00188-1. ([Source](https://link.springer.com/article/10.1007/s41872-022-00188-1))

### A34. Rheological Analysis of the Structuralisation Kinetics of Starch Gels

**Authors and year:** Ryszard Rezler (2021). **Domain:** Polymer rheology, crosslinking and transition kinetics. **Reported software:** 2D. **Evidence class:** primary_full_text_returned_in_search. **Source location:** Sec3.3 Statistical Analysis; Eq3; conclusions. ([Source](https://www.mdpi.com/1420-3049/26/13/3826))

**Historical organization/geography context:** Poznan University of Life Sciences, Department of Physics and Biophysics; Poland. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Least-squares TableCurve 2D fitting determined m, k, f, n parameters in starch-gel structuralization. Dynamic mechanical measurements at 20 C were interpreted using an Avrami-type asymptotic modulus-time equation and network functionality/segment-density relationships. **Interpretation limit:** MDPI search response returned body, methods and conclusions; a separate PMC open hit CAPTCHA. Statistical averaging was done in Statistica, not TableCurve. DOI: 10.3390/molecules26133826. ([Source](https://www.mdpi.com/1420-3049/26/13/3826))

### A35. Development of a hydrogen mordenite sorbent for the capture of krypton from used nuclear fuel reprocessing off-gas streams

**Authors and year:** Mitchell Greenhalgh; Troy G. Garn; Jack D. Law (2014). **Domain:** Nuclear off-gas separation; area-under-curve integration. **Reported software:** unspecified. **Evidence class:** primary_indexed_excerpt. **Source location:** Sec2.3 capacity calculation; Sec2.4 isotherm. ([Source](https://www.tandfonline.com/doi/full/10.1080/00223131.2014.877404))

**Historical organization/geography context:** Idaho National Laboratory (corpus metadata); United States. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Indexed publisher text expressly describes TableCurve fitting breakthrough curves and evaluating their area for Kr sorption-capacity calculations. Capacity was computed from feed concentration, total processed volume, effluent-curve integral and sorbent mass. **Interpretation limit:** Publisher open failed. Langmuir isotherm fitting in nearby section is reported as linear regression; do not automatically attribute that step to TableCurve. DOI: 10.1080/00223131.2014.877404. ([Source](https://www.tandfonline.com/doi/full/10.1080/00223131.2014.877404))

### A36. Estimation of the Spacing Factor Based on Air Pore Distribution Parameters in Air-Entrained Concrete

**Authors and year:** Jerzy Wawrzenczyk; Henryk Kowalczyk (2025). **Domain:** Concrete air-pore metrology; distribution and peak characterization. **Reported software:** reported TableCurve 2.0; edition ambiguous. **Evidence class:** primary_indexed_excerpt. **Source location:** Analysis after chord histogram/Table2; Fig3. ([Source](https://www.mdpi.com/1996-1944/18/8/1716))

**Historical organization/geography context:** Kielce University of Technology, Faculty of Civil Engineering and Architecture (supplied Papers workbook); Poland. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** For110 concretes, TableCurve 2.0 fitted chord-length distributions across 25 classes within 0-500 micrometres. Selection considered lowest estimation error or highest R-squared; lognormal, gamma, inverse-gamma and extreme-value distributions best matched; Weibull often ranked next. Peak amplitude, modal chord length and half-height width summarized distributions. **Interpretation limit:** Direct publisher and PMC fetch blocked. Preserve reported nameTableCurve2.0, do not silently change toTableCurve2Dversion5. DOI: 10.3390/ma18081716. ([Source](https://www.mdpi.com/1996-1944/18/8/1716))

### A37. Evaluation of 4-Year Atmospheric Corrosion of Carbon Steel, Aluminum, Copper and Zinc in a Coastal Military Airport in Greece

**Authors and year:** Author byline unresolved in this research slice (2020). **Domain:** Corrosion growth and materials durability. **Reported software:** 2D. **Evidence class:** primary_indexed_excerpt. **Source location:** Corrosion evaluation methodology. ([Source](https://www.mdpi.com/2624-5558/1/1/8))

**Historical organization/geography context:** Organization affiliation unresolved in this research slice; Greece study site; institutional affiliation not independently verified. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve 2D v5.01.01 and Excel determined power equations and plotted corrosion mass-loss data for several metals exposed at a coastal military airport. Corrosion rates were derived from specimen weight loss followingISO9226. **Interpretation limit:** Direct publisher fetch failed. Avoid asserting service-life extrapolation or exact coefficient values not examined. DOI: 10.3390/cmd1010008. ([Source](https://www.mdpi.com/2624-5558/1/1/8))

### A38. Anaerobic Biodegradation of Polylactic Acid-Based Items: A Specific Focus on Disposable Tableware Products

**Authors and year:** Marica Falzarano; Alessandra Polettini; Raffaella Pomi; Andreina Rossi; Tatiana Zonfa; Maria Paola Bracciale; Simona Gabrielli; Fabrizio Sarasini; Jacopo Tirillo (2025). **Domain:** Waste-to-energy; biodegradable-material kinetics. **Reported software:** 2D. **Evidence class:** primary_repository_indexed_excerpt. **Source location:** Methods/p8 Eq1. ([Source](https://pubblicazioni.unicam.it/retrieve/368a6d81-0cd0-483b-a8df-e4c1f5dd4f76/materials-18-01186-v2.pdf))

**Historical organization/geography context:** Sapienza University of Rome; University of Camerino (needs full affiliation-page check); Italy (metadata; not independently affiliation-verified). Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve 2D v5.01 fitted cumulative biogas-time curves with modified Gompertz equations to estimate maximum production, maximum rate and lag. Authors also assessed times to specified conversion fractions and extrapolated ultimate biodegradation. **Interpretation limit:** Publisher fetch blocked; repository excerpt inspected only. Ultimate yield extrapolation remains model dependent. DOI: 10.3390/ma18051186. ([Source](https://pubblicazioni.unicam.it/retrieve/368a6d81-0cd0-483b-a8df-e4c1f5dd4f76/materials-18-01186-v2.pdf))

### A39. The Amount of Cross-Linker Influences Affinity and Selectivity of NanoMIPs Prepared by Solid-Phase Polymerization Synthesis

**Authors and year:** Valentina Testa; Laura Anfossi; Simone Cavalera; Fabio Di Nardo; Thea Serra; Claudio Baggiani (2024). **Domain:** Functional polymers; binding affinity and selectivity. **Reported software:** 2D. **Evidence class:** primary_repository_indexed_excerpt. **Source location:** Sec2.4 Measurement of NanoMIPs Binding Properties. ([Source](https://iris.unito.it/retrieve/30d7efe5-dcf7-4036-acb8-a764b4769897/pol24_16_532.pdf))

**Historical organization/geography context:** University of Torino, Laboratory of Bioanalytical Chemistry (provided Papers workbook); Italy. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve 2D5.0 estimated binding parameters by nonlinear least-squares on averaged immunoglobulin binding-isotherm data for different molecularly imprinted-polymer crosslinker levels. **Interpretation limit:** PMC fetch blocked; repository excerpt obtained. Exact isotherm families and uncertainty methodology not fully examined. DOI: 10.3390/polym16040532. ([Source](https://iris.unito.it/retrieve/30d7efe5-dcf7-4036-acb8-a764b4769897/pol24_16_532.pdf))

### A40. A3-D magnetic analysis of a linear alternator for a Stirling power system

**Authors and year:** Steven M. Geng; Gene E. Schwarze; Janis M. Niedra (corpus names; report date2000) (2000). **Domain:** Electrical machines; analytical surrogate from field simulation. **Reported software:** unspecified. **Evidence class:** primary_repository_indexed_excerpt. **Source location:** NASA/TM2000-210249; induced EMF calculation. ([Source](https://ntrs.nasa.gov/api/citations/20000085855/downloads/20000085855.pdf?attachment=true))

**Historical organization/geography context:** NASA Glenn Research Center (corpus metadata); United States. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Magnetostatic solutions at 13 mover positions produced induced-EMF estimates through Faraday's law; TableCurve fitted the induced EMF curve and its amplitude informed open-circuit RMSvoltage. **Interpretation limit:** Title resembles a corpus conference article indexed2002 with DOI10.1109/iecec.2000.870691. Treat the NASA2000report as related manifestation, not automatically duplicate/new use. ([Source](https://ntrs.nasa.gov/api/citations/20000085855/downloads/20000085855.pdf?attachment=true))

### A41. Characterization and Eh/pH-Based Leaching Tests of Mercury-Containing Mining Wastes from the Sulfur Bank Mercury Mine, Lake County, California

**Authors and year:** Report prepared by Battelle; Sandip Chattopadhyay task leader; exact byline not supplied in fetched header (2001). **Domain:** Environmental mining-waste chemistry; empirical surface. **Reported software:** 3D. **Evidence class:** full_text_verified. **Source location:** Sec3.3/printedp14 Fig3-10; acknowledgments. ([Source](https://nepis.epa.gov/Exe/ZyPURL.cgi?Dockey=P1001NOY.TXT))

**Historical organization/geography context:** Battelle Columbus; US EPA National Risk Management Research Laboratory; United States. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve 3D correlated leachate mercury concentration to Eh and pH using a fifth-degree polynomial in pH plus inverseEh term. Authors report R-squared0.96. Experiments varied pH/Eh for wastes from the California mercury mine. **Interpretation limit:** Government text is OCR. Formula should be checked visually before reproducing executable coefficients. Header September2001, reportnumberEPA600/R02/032 could cause yearambiguity. Corpus extension, not asserted present in three workbooks. ([Source](https://nepis.epa.gov/Exe/ZyPURL.cgi?Dockey=P1001NOY.TXT))

### A42. DOE G413.3-13 Acquisition of Capital Assets guide, lifecycle-cost appendix example

**Authors and year:** US Department of Energy; named authors not stated (2008). **Domain:** Infrastructure asset management; weighted fitting and cost scenarios. **Reported software:** unspecified. **Evidence class:** primary_government_indexed_excerpt. **Source location:** AppendixD printedD15. ([Source](https://science.osti.gov/-/media/opa/pdf/processes-and-procedures/doe/g4133-13.pdf))

**Historical organization/geography context:** US DOE/NNSA context; United States. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** A gas-distribution lifecycle-cost example uses TableCurve failure projections from corrosion information. It compares exponential, log-linear and weighted log-linear treatments and uses the most conservative weighted trend in the cost analysis. **Interpretation limit:** This is an illustrative guide appendix, not evidence of a particular commercial deployment or validated prediction. Corpus extension. ([Source](https://science.osti.gov/-/media/opa/pdf/processes-and-procedures/doe/g4133-13.pdf))

### A43. Composition and methods for the enterosorption and management of toxins

**Authors and year:** US9597313B2 inventors: not verified in this research slice (2017). **Domain:** Adsorption isotherm UDF workflow. **Reported software:** 2D. **Evidence class:** primary_patent_indexed_excerpt. **Source location:** Data Calculations and Curve Fitting. ([Source](https://patents.google.com/patent/US9597313B2/en))

**Historical organization/geography context:** Assignee/affiliation: not verified; Patent jurisdictionUS; user geography not established. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve 2D Langmuir UDF fitted aflatoxinB1 adsorption fromUV-vis-derived dissolved/adsorbed data, with Qmax andKd bounded positive and initialized before fitting. Demonstrates custom scientific equations with starting estimates and constraints. **Interpretation limit:** Patent examples describe methods and do not establish actual market use or clinical efficacy. Source is Google-hosted primary patent text; treat separately from journal usage. ([Source](https://patents.google.com/patent/US9597313B2/en))

### A44. Mathematical Simulation of Heat Generation at a Cutting-Tool Surface During Stock Removal Processes

**Authors and year:** Hocine Mzad (2021). **Domain:** Machining; thermal inverse modeling. **Reported software:** unspecified. **Evidence class:** publisher_abstract_keyword_only. **Source location:** Abstract and keyword list. ([Source](https://et.ippt.pan.pl/index.php/et/article/view/1397))

**Historical organization/geography context:** Badji Mokhtar University of Annaba, Department of Mechanical Engineering; Algeria. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Verification lead, not confirmed primary-method use. Publisher abstract describes cubic-spline interpolation of infrared-measured cutting-tool temperatures to estimate transient heat flux. TableCurve appears explicitly as a keyword. **Interpretation limit:** Software-specific algorithm and exact software task are not stated in the abstract; do not count as fulltextverified use. DOI: 10.24423/EngTrans.1397.20211215. ([Source](https://et.ippt.pan.pl/index.php/et/article/view/1397))

### A45. Experiment and Durability Decision of Dry Cutting316L Stainless Steel with Coated Circular Saw Knife

**Authors and year:** B.K. Li; Jun Chen; Yunqiao Dong; Jiantao Gu; Haiyun Peng (2025). **Domain:** Manufacturing parameter-response surfaces. **Reported software:** 3D. **Evidence class:** secondary_fulltext_excerpt_candidate. **Source location:** Sec3.3 as quoted in ResearchGate preview. ([Source](https://doi.org/10.1088/1742-6596/2941/1/012048))

**Historical organization/geography context:** University of South China (corpus metadata); China (metadata). Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Verification lead only. A secondary preview describes possible 3D tool-life modeling against speed and feed per tooth; primary methodology and numerical performance remain independently unverified. **Interpretation limit:** PrimaryIOP robots blocked. Secondary excerpt is NOT promoted to confirmed primary evidence. Do not quote performance in finalreport without publisher/repository verification. DOI: 10.1088/1742-6596/2941/1/012048. ([Source](https://doi.org/10.1088/1742-6596/2941/1/012048))

### A46. Durability Design of Coated Circular Saw Knife for Hot Chamber Cutting Stainless Steel in Nuclear Industry

**Authors and year:** B.K. Li; Jun Chen; Yunqiao Dong; Jiantao Gu; Haiyun Peng (2025). **Domain:** Nuclear-industry machining. **Reported software:** 3D. **Evidence class:** primary_indexed_excerpt. **Source location:** Modeling section; Fig2; Sec3. ([Source](https://drpress.org/ojs/index.php/ije/article/download/32786/32084/49277))

**Historical organization/geography context:** University of South China (corpus metadata); China (metadata). Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Publisher PDF indexed text describes TableCurve 3D selective-subset empirical tool-durability models over cutting speed and feed per tooth, followed by productivity/cost decisions for coated circular saw blades in hot chambers. **Interpretation limit:** Author says empirical model is engineering-practical rather than physically derived. Possibly shares experiment withENG16; do not count as independent organization. DOI: 10.54097/8tx4rk78. ([Source](https://drpress.org/ojs/index.php/ije/article/download/32786/32084/49277))

### A47. Low-Temperature Plasma Modification of Styrene-Butadiene Block Copolymer Surfaces for Improved Adhesion-A Kinetic Approach

**Authors and year:** J. Tyczkowski; Hanna Kierzkowska-Pawlak; Jan Sielski; I. Krawczyk-Klys (2020). **Domain:** Surface modification; nonmonotonic kinetics. **Reported software:** unspecified. **Evidence class:** secondary_fulltext_excerpt_candidate. **Source location:** Eq3; results around Fig3 reproduced onResearchGate. ([Source](https://www.mdpi.com/2073-4360/12/4/935))

**Historical organization/geography context:** Lodz University of Technology (corpus metadata); Poland. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Verification lead, not confirmed primary-method use. Secondary preview describes TableCurve fitting peel strength versus plasma-treatment time with a composite kinetic function comprising competing exponentials and a saturating term, estimating k1, k2, k3, A0, B0. **Interpretation limit:** Publisher fulltext fetch failed; indexed publisher snippet only identifies material, not fitting method. Candidate needs independent primary fulltext. DOI: 10.3390/polym12040935. ([Source](https://www.mdpi.com/2073-4360/12/4/935))

### A48. Influence of the punch diameter and curvature on the yield pressure of MCC-compacts during Heckel analysis

**Authors and year:** Author byline unresolved in this research slice (2004). **Domain:** Powder compaction; derivative-based engineering measurement. **Reported software:** 2D. **Evidence class:** primary_indexed_excerpt. **Source location:** Methods excerpt on sine-wave displacement. ([Source](https://www.sciencedirect.com/science/article/abs/pii/S0928098704000612))

**Historical organization/geography context:** Organization affiliation unresolved in this research slice; Country not verified. Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** TableCurve 2D v5.01 fitted sine-wave punch displacement, selected a curve with R-squared0.9999, and differentiated it to obtain instantaneous punch speed before Heckel-analysis interpretation. **Interpretation limit:** DOI entered as candidate and mustverify againstsource beforemerging. Primary indexed excerpt only; affiliations notchecked. ([Source](https://www.sciencedirect.com/science/article/abs/pii/S0928098704000612))

### A49. A Simple and Effective Method to Evaluate Seismic Maximum Floor Velocities for Steel-Framed Structures with Supplementary Dampers

**Authors and year:** Alexia Kosmidou; Foteini D. Konstandakopoulou; Nikos G. Pnevmatikos; Panagiotis G. Asteris; George D. Hatzigeorgiou (2023). **Domain:** Seismic engineering. **Reported software:** 3D. **Evidence class:** publisher_mention_candidate. **Source location:** Publisher indexed mention; title/abstract. ([Source](https://www.mdpi.com/2673-3161/4/4/57))

**Historical organization/geography context:** Hellenic Open University (corpus metadata); Greece (metadata). Preserve metadata qualifiers: affiliation, study site, collaborator, and patent jurisdiction differ.

**Reported modeling task:** Verification lead, not confirmed primary-method use. Publisher page indexing includes TableCurve 3D in a structural-dynamics paper on maximum floor velocities and supplementary dampers. **Interpretation limit:** Specific TableCurve modeling variables and task not verified. Keepcandidate, exclude verified method totals. DOI: 10.3390/applmech4040057. ([Source](https://www.mdpi.com/2673-3161/4/4/57))

## Appendix B. Complete catalogue and audit trail

The knowledge-base index (included in the complete knowledge-base ZIP) links every numbered publication catalogue page, country catalogue, and application-domain catalogue. Publications CSV (included in the complete knowledge-base ZIP) and JSON (included in the complete knowledge-base ZIP) preserve the deduplicated candidate set. SQLite (included in the complete knowledge-base ZIP) connects publications to original rows, authorships, organizations, evidence, and taxonomy. Source inventory (included in the complete knowledge-base ZIP) records workbook hashes. Statistics (included in the complete knowledge-base ZIP), case statistics (included in the complete knowledge-base ZIP), and validation (included in the complete knowledge-base ZIP) describe the October 4, 2026 snapshot, not a live census.