Accounting for precision uncertainty of toxicity testing: methods to define borderline ranges and implications for hazard assessment of chemicals
Open accessAbstract
For hazard classifications of chemicals, continuous data from animal‐ or nonanimal testing methods are often dichotomized into binary positive/negative outcomes by defining classification thresholds (CT). Experimental data are, however, subject to biological and technical variability. Each test method's precision is limited resulting in uncertainty of the positive/negative outcome if the experimental result is close to the CT. Borderline ranges (BR) around the CT were suggested, which represent ranges in which the study result is ambiguous, that is, positive or negative results are equally likely. The BR reflects a method's precision uncertainty. This article explores and compares different approaches to quantify the BR. Besides using the pooled standard deviation, we determine the BR by means of the median absolute deviation (MAD), with a sequential combination of both methods, and by using nonparametric bootstrapping. Furthermore, we quantify the BR for different hazardous effects, including nonanimal tests for skin corrosion, eye irritation, skin irritation, and skin sensitization as well as for an animal test on skin sensitization (the local lymph node assay, LLNA). Additionally, for one method (direct peptide reactivity assay) the BR was determined experimentally and compared to calculated BRs. Our results demonstrate that (i) the precision of the methods is determining the size of their BRs, (ii) there is no “perfect” method to derive a BR, alas, (iii) a consensus on BR is needed to account for the limited precision of testing methods.
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The regulatory meaning of cytotoxicity depends on its role within the test method, which may be as a classification endpoint, predictive surrogate, validity criterion, or concentration constraint.
“Their regulatory meaning depends on assay role, where they may function as classification endpoints, predictive surrogates, validity criteria, or constraints for concentration selection.”
From Cytotoxicity across OECD methods is not a single endpoint: context-dependent roles, variability and implications for decision-making (2026) · cites this paper as Gabbert et al., 2022
Table I (Empirical Application, Selection of Testing Methods; page unavailable) uses relative cell viability as a classification threshold for skin irritation and corrosion, while the h-CLAT entry requires at least 50% viability for a positive result based on cell-surface markers. These examples support the point that viability has different roles across assays, but the copy does not establish the full four-role account of cytotoxicity: it does not identify cytotoxicity as a predictive surrogate or a constraint on concentration selection. (LLM, conf=0.84)
Experimental — accuracy not yet measuredAssay variability near decision points may be large enough to affect classification, particularly where the threshold is close to the steep part of a concentration-response curve.
“Ring-trial and validation data indicate that assay variability near decision points may be large enough to affect classification, particularly where the threshold is close to the steep part of a concentration-response curve (Kolle et al., 2021; Gabbert et al., 2022; Leontaridou, 2017).”
From Cytotoxicity across OECD methods is not a single endpoint: context-dependent roles, variability and implications for decision-making (2026) · cites this paper as Gabbert et al., 2022
The Conclusions state that technical and biological variability can cause results near a classification threshold to switch between positive and negative on retesting. The paper does not establish the added condition that this is particularly so when the threshold lies near the steep part of a concentration-response curve. (LLM, conf=0.85)
Experimental — accuracy not yet measuredThe concept of borderline ranges is well established for several defined approaches and in vitro skin sensitization methods.
“The concept is well established for several defined approaches and in vitro skin sensitization methods (Kolle et al., 2021; Gabbert et al., 2022; Leontaridou, 2017; OECD, 2025e).”
From Cytotoxicity across OECD methods is not a single endpoint: context-dependent roles, variability and implications for decision-making (2026) · cites this paper as Gabbert et al., 2022
The Introduction reports borderline-range analyses for three nonanimal skin-sensitization methods and one defined approach, the “2-out-of-3” approach. But it says borderline ranges had been explored for only a few methods and that evidence remained limited; it does not support calling the concept well established for several defined approaches. Page numbers were not available in our copy. (LLM, conf=0.87)
Experimental — accuracy not yet measuredThe width of borderline ranges depends on the precision of the test method.
“Gabbert et al. provided the formal statistical basis for this approach by defining borderline ranges as expressions of precision uncertainty around classification thresholds and showed that their width depends on the precision of the test method (Gabbert et al., 2022).”
From Cytotoxicity across OECD methods is not a single endpoint: context-dependent roles, variability and implications for decision-making (2026) · cites this paper as Gabbert et al., 2022
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Thoma, T., Löhr, L., Demuth, P., Hambruch, N., Oesch, F., & Landsiedel, R. (2026) · NAM Journal · doi:10.1016/j.namjnl.2026.100126
Self-citation
- Authors
- Gabbert, S., Mathea, M., Kolle, S. N., & Landsiedel, R.
- Affiliations
- Wageningen University & Research (NL)
- BASF (Germany) (DE)
- Corresponding author
- Gabbert, Silke
- Venue
- Risk Analysis
- Publisher
- Wiley
- Published
- 2020-12-09
- Volume
- 42
- Issue
- 2
- Pages
- 224-238
- ISSN
- 0272-4332 (ISSN-L)
- 1539-6924
- PMC
- PMC9292900
- OpenAlex
- W3111970711
- Cited by
- 17
- References
- 2
- Citations by year
- 2026: 3 · 2025: 5 · 2024: 3 · 2022: 3 · 2021: 3
- FWCI
- 1.39
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Risk Analysis (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Socio-Environmental Systems Modeling (submittedVersion, cc-by)
- Data Archiving and Networked Services (DANS) (submittedVersion, cc-by)
- Topics
- Health Sciences › Veterinary › Small Animals › Animal testing and alternatives
- Health Sciences › Medicine › Dermatology › Contact Dermatitis and Allergies
- Life Sciences › Agricultural and Biological Sciences › Food Science › Agricultural safety and regulations
- Keywords
- classification threshold, toxicity testing, median absolute deviation, pooled standard deviation, nonparametric bootstrap, skin sensitization, skin corrosion, eye irritation, skin irritation, local lymph node assay, direct peptide reactivity assay
- MeSH terms
- Animals, Animal Testing Alternatives, Skin, Local Lymph Node Assay, Uncertainty
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