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. Author manuscript; available in PMC: 2025 May 1.
Published in final edited form as: Regul Toxicol Pharmacol. 2024 Apr 2;149:105614. doi: 10.1016/j.yrtph.2024.105614

EVALUATION OF IN SILICO MODEL PREDICTIONS FOR MAMMALIAN ACUTE ORAL TOXICITY AND REGULATORY APPLICATION IN PESTICIDE HAZARD AND RISK ASSESSMENT

Patricia L Bishop a,*, Kamel Mansouri b, William P Eckel c, Michael B Lowit c, David Allen d, Amy Blankinship c, Anna B Lowit c, D Ethan Harwood c, Tamara Johnson c, Nicole C Kleinstreuer b
PMCID: PMC11583330  NIHMSID: NIHMS1987571  PMID: 38574841

Abstract

The United States Environmental Protection Agency (USEPA) uses the lethal dose 50% (LD50) value from in vivo rat acute oral toxicity studies for pesticide product label precautionary statements and environmental risk assessment (RA). The Collaborative Acute Toxicity Modeling Suite (CATMoS) is a quantitative structure-activity relationship (QSAR)-based in silico approach to predict rat acute oral toxicity that has the potential to reduce animal use when registering a new pesticide technical grade active ingredient (TGAI). This analysis compared LD50 values predicted by CATMoS to empirical values from in vivo studies for the TGAIs of 177 conventional pesticides. The accuracy and reliability of the model predictions were assessed relative to the empirical data in terms of USEPA acute oral toxicity categories and discrete LD50 values for each chemical. CATMoS was most reliable at placing pesticide TGAIs in acute toxicity categories III (>500 – 5,000 mg/kg) and IV (>5,000 mg/kg), with 88% categorical concordance for 165 chemicals with empirical in vivo LD50 values ≥500 mg/kg. When considering an LD50 for RA, CATMoS predictions of 2,000 mg/kg and higher were found to agree with empirical values from limit tests (i.e., single, high-dose tests) or definitive results over 2,000 mg/kg with few exceptions.

Keywords: acute oral toxicity, alternative approaches, in silico models, hazard assessment, NAMs, LD50, non-animal methods, pesticides, regulatory testing, risk assessment

1. Introduction

1.1. Use of the acute oral toxicity test for pesticide safety assessment

The United States Environmental Protection Agency (USEPA) Office of Pesticide Programs (OPP) uses data specified in 40 Code of Federal Regulations (CFR) Part 158 (40 CFR 158, 2023) to make regulatory decisions regarding the effects of pesticides on human health and the environment. The in vivo rat acute oral toxicity test is included in 40 CFR 158 and is performed for all technical grade active ingredients (TGAIs) as well as for end-use product formulations of pesticide TGAIs mixed with other ingredients. The median lethal dose (LD50), a statistically derived single dose of test substance expressed in milligrams per kilograms body weight (mg/kg) of the test animal that can be expected to cause death in 50% of the animals when administered by the oral route, is the endpoint of this test. The USEPA Office of Prevention, Pesticides and Toxic Substances (OPPTS) test guideline 870.1100 (USEPA, 2002) lists three accepted approaches to assess acute oral toxicity in which progressive doses are given: the up-down procedure (OECD, 2022), acute toxic class method (OECD, 2002a), and the fixed dose method (OECD, 2002b). Results from these studies reported as a specific dose, such as 50 or 1,000 mg/kg, are termed definitive LD50s, although each has a limit test option (i.e., a single high dose of either 2,000 mg/kg or 5,000 mg/kg) for suspected low toxicity substances. If there is no mortality observed with the limit test, the LD50 is then considered to be non-definitive at >2,000 or >5,000 mg/kg. LD50s may be reported individually for both male and female rats, or only for females, which tend to be more sensitive when there are differences in sensitivity (OECD, 2022). Sometimes, a combined LD50 value (i.e., average) that does not distinguish by sex may be reported. The number of animals used in each of these three approaches usually ranges from five to nine (OECD, 2001). OPP received between 300 – 500 of these studies per year from 2017 through 2021, although most were for pesticide formulations rather than TGAIs. Thus, the number of animals used to conduct the acute oral toxicity test has recently ranged from about 1,500 – 4,500 per year, assuming the use of five to nine animals per test.

USEPA uses in vivo acute oral toxicity data for two main purposes. First, based on the LD50, the acute oral toxicity classification of the test substance is assigned to one of four acute toxicity categories (Table 1) that range from the most potent category I to the least potent category IV (USEPA, 2018). The toxicity category determines the precautionary statement about the hazard associated with the product. That information is placed on pesticide labels in the form of hazard signal words and symbols, first aid information, precautionary statements, worker protection statements, and personal protective equipment information for product use (USEPA, 2018). Secondly, the acute oral LD50 value is used as a surrogate to represent acute oral toxicity to all mammalian wildlife. When conducting a quantitative ecological RA, USEPA compares LD50s to pesticide exposure estimates, according to methods described in USEPA (2004; 2012), to determine if a potential risk concern exists for acute oral toxicity. When the LD50 is non-definitive based on results of a limit test, no mortality is observed, and the highest concentration tested is greater than environmentally relevant concentrations, then risk from acute oral exposure is considered low and a quantitative RA is typically not conducted (USEPA, 2011).

Table 1.

USEPA acute oral toxicity categories based on LD50 values and associated label precautionary statements and signal words (USEPA, 2018).

Category Oral LD50 (mg/kg) Precautionary Statement Signal Word

I ≤50 Fatal if swallowed Danger
II >50 – 500 May be fatal if swallowed Warning
III >500 – 5,000 Harmful if swallowed Caution
IV >5,000 No statement required None required

1.2. Reducing animal use through New Approach Methods

USEPA is involved in several ongoing efforts to develop and use New Approach Methods (NAMs) to test chemicals for toxic effects as described in its NAMs workplan, first issued in June 2020 and updated in December 2021 (USEPA, 2021). A key element in USEPA’s strategy is to establish scientific confidence in NAMs and demonstrate their applicability to regulatory decision-making, thus ensuring protection of human health and the environment. A secondary benefit of adopting NAMs is reducing the use of animals. In silico approaches are one alternative to in vivo testing that has shown promise thanks to recent advances in computational resources and artificial intelligence/machine learning applications to large, curated training datasets.

An example of a widely used in silico method is the quantitative structure-activity relationship (QSAR), which is a modeling approach employed in chemistry, pharmacology, and toxicology to predict the biological activity, properties, or behavior of chemical compounds based on their structure. It involves analyzing the quantitative relationship between chemical structures (molecular descriptors) and their biological activities or other properties using mathematical models and statistical techniques. QSAR models can assist in drug design, toxicity prediction, environmental impact assessment of chemicals, and more. They are particularly useful when experimental data are limited or expensive to obtain, allowing predictions to be made based on structural characteristics (Mansouri et al., 2016; Mansouri et al., 2020).

Several recently published articles have demonstrated the reliability and utility of in silico acute toxicity models for several chemical spaces. For example, Bercu et al. (2021) investigated the Leadscope (Instem, 2023) QSAR model for its ability to predict United Nations Globally Harmonized System (GHS) hazard categories, based on rat oral acute toxicity, of chemicals including pharmaceuticals, plant protection products (pesticides), pharmaceutical and pesticide intermediates, and metabolites. They found it to be reliable in its hazard predictions for a wide range of chemical structures, spanning numerous industries. This evaluation noted the importance of a weight of evidence approach, which increased fit-for-purpose and accuracy metrics for the model predictions.

In other investigations, Graham et al. (2021) and Moudgal et al. (2023) independently examined the reliability of two QSAR models, Leadscope and the Collaborative Acute Toxicity Modeling Suite (CATMoS) (Kleinstreuer et al., 2018; Mansouri et al., 2021), at predicting acute oral toxicity of existing pharmaceutical compounds based on rat LD50s. Both studies concluded that these models demonstrated a high degree of agreement with in vivo results and could be used most reliably to identify low acute oral toxicity chemicals with LD50s >300 mg/kg (GHS categories 4, 5, and not classified).

1.3. The Collaborative Acute Toxicity Modeling Suite (CATMoS)

In this analysis, we focused on CATMoS, an in silico QSAR predictive tool for screening chemicals for acute oral toxicity based on two-dimensional molecular structures. It was released by the National Toxicology Program Interagency Center for the Evaluation of Alternative Toxicological Methods (NICEATM) within OPERA (Open Structure-Activity/Property Relationship App), a free and open-source/open-data suite of QSAR models1 developed to support regulatory decisions (Mansouri et al., 2018), and is described in greater detail in the Supplemental Material file and in Mansouri et al. (2021). OPERA-implemented models can be run on chemicals one by one or in batch mode but can only be applied to well defined small molecule organic structures (i.e., no mixtures, no polymers, or substances of unknown or variable composition, complex reaction products, or biological materials known as UVCBs). Using information on chemical structure and rat acute oral toxicity data curated from public literature sources comprised largely of studies to support regulatory submissions, CATMoS was built with nearly 9,000 chemicals and tested with a validation set of approximately 3,000 chemicals. To provide quantitative benchmarks for assessing the performance of CATMoS predictions, the variability of the reference in vivo data was determined through a bootstrap analysis of a subset of 1,885 chemicals with two or more discrete empirical LD50 values that provided a data-derived 95% confidence interval around the LD50 of +/−0.24 log10 mg/kg. Analysis of 2,441 chemicals with multiple categorical values (e.g., including limit tests) yielded categorical reproducibility ranging from 55% – 80% (Karmaus et al., 2022).

CATMoS predicts rat acute oral toxicity endpoints relevant to USEPA regulatory needs, i.e., discrete LD50 values and USEPA toxicity categories I – IV (Strickland et al., 2018). OPERA’s output for CATMoS predictions also provides an indication of confidence in the accuracy of the discrete value or category predicted, and an assessment of whether the predicted test substance falls within the applicability domain of the models. Against multiple external validation sets, in silico CATMoS predictions performed as well as the in vivo acute oral toxicity test, using the repeatability of the in vivo data as a quantitative benchmark (Mansouri et al., 2021; Graham et al. 2021; Karmaus et al., 2022; Moudgal et al., 2023).

The purpose of this analysis was to determine how well CATMoS performs in the chemical space of conventional pesticides in predicting rat acute oral toxicity LD50 values relative to in vivo empirical LD50 values of TGAIs registered by USEPA in approximately the last 20 years.2 The accuracy and reliability of model predictions in terms of USEPA toxicity categories I – IV and discrete LD50 values were assessed.

2. Methods

2.1. Collection, evaluation and curation of empirical data used for analysis

We focused on the 195 conventional pesticides registered by USEPA from 1998 – 2020 given that more recent chemistries are potentially more representative of future chemistries.3 The latest versions of USEPA ecological and human health RAs were obtained from public sources by searching USEPA’s Pesticide Chemical Search dashboard4 and the US government website Regulations.gov.5 The data extracted from the RAs included empirical rat LD50, pesticide common name, and Chemical Abstract Service (CAS) registry number. Pesticide chemical structures were obtained in Simplified Molecular Input Line Entry System (SMILES) notation from USEPA’s Distributed Structure-Searchable Toxicity (DSSTox) database.6 Seventeen pesticides were removed from the initial list including six inorganic chemicals, four rodenticides, two soil fumigants, and five chemicals that cannot be predicted by the CATMoS model (e.g., pesticides with ambiguous or undefined structures and mixtures of multiple compounds). Given that a mammal is the intended target pest for rodenticides, making them more toxic (typically category I or II), it is unlikely that USEPA would use an in silico NAM at this time to replace an animal test for these substances; therefore, they were removed from the list. As the acute oral toxicity study is not relevant unless the chemical also comes in a form that can be ingested, the two soil fumigants were excluded because their exposure route is through inhalation. One of the 195 pesticides had ester and acid forms that were modeled separately and were counted as two pesticides.

In most cases, USEPA relies on data submitted by registrants that conforms to the study design and conditions outlined in OPPTS 870.1100. The data extraction revealed the need to conduct additional curation in some cases to select the most appropriate empirical LD50 value for comparison to the CATMoS prediction. For example, there were occasional differences in the LD50 values reported in the ecological and human health RAs for the same pesticide, or the LD50 used in the ecological RA was from a study in the mouse or other species rather than the rat. In those cases, it was determined through consultation with USEPA, and expert examination of the data used to support the RA, which value was most appropriate for comparisons made in this analysis. As a result, one pesticide was removed due to conflicting empirical in vivo LD50 values from different sources that could not be resolved, and one had an LD50 in the dog instead of the rat that was also removed because only rat data were used in the analysis.

There were 26 pesticides where the rat LD50 used in the RA was based on a single sex, usually female, rather than on the more commonly averaged value of both sexes. Acute oral toxicity data used to build the CATMoS model were not distinguished by sex, leading to its inability to predict LD50s by sex. Thus, for this comparison it was decided to recalculate the USEPA empirical LD50 data for these 26 cases as the average of reported male and female rat values (Supplemental Table S1). In cases where one male/female value was definitive and the other was non-definitive, the definitive value was retained for comparison to the predicted value.

The specific rat LD50s obtained from the USEPA pesticide RAs and used in this analysis generally were not in the peer-reviewed published literature or in the gray literature. In contrast, the LD50 dataset used to develop the CATMoS model was collected from public sources including the open literature and readily accessible regulatory databases such as the Organisation for Economic Cooperation and Development (OECD) eChemPortal, the National Library of Medicine’s Hazardous Substances Data Bank (NLM HSDB), ChemIDplus databases, and the European Commission Joint Research Center’s (JRC) AcutoxBase (Karmaus et al. 2019; Kleinstreuer et al. 2018; NTP 2018). While the USEPA RAs were not part of that data curation, for some pesticides in the current analysis there was likely some overlap with values curated from these other sources if registrants also reported study results to non-USEPA databases queried during the CATMoS dataset building process. Therefore, for any chemicals in our analysis that were also in the CATMoS dataset, we noted when the empirical LD50 values differed substantially. However, some differences are expected due to inherent variability in animal data such as the reporting of a single sex LD50 rather than an averaged value from both sexes, and because the dataset also contained open literature data that may have differed from data generated by registrants for the same chemical. Adherence to standardized regulatory guideline protocols was confirmed when available during curation of the CATMoS dataset, but lack of methodological information could introduce greater variability in the LD50 values if non-standardized and varying test procedures were included. Other aspects such as chirality effects or bridging approaches (sharing data between similar active ingredients) could also influence the variability in the data. Reflecting this variability in LD50 values derived from different sources, there were 20 chemicals where LD50s from USEPA and CATMoS datasets did not match, as shown in Supplemental Table S2 with both USEPA RA-derived and CATMoS dataset empirical in vivo LD50 values for comparison purposes. In all cases these differences were resolved and did not result in any adjustment of empirical values in either dataset other than the above-mentioned averaging of USEPA male/female LD50s.

The workflow used in the data curation, model development, and comparative analysis is shown in Fig. 1. After the RA dataset curation, there were a total of 177 pesticide TGAIs (67 fungicides, 56 herbicides, 46 insecticides/acaricides, three nematicides, four plant activators/growth regulators, and one reptilicide) used in the analysis (Table 2). The focus of the analysis was on parent compounds and no metabolites or degradants were included, mainly due to a general lack of information on the toxicity of these transformation products. Of the 177 chemicals, 115 were in the CATMoS dataset, although, as noted above for 20 of the chemicals that overlapped, the empirical values from USEPA did not match the experimental data collected from the open literature or other data sources during the development of the CATMoS model. When making predictions for chemicals already in the model’s knowledge base, it is important to note that CATMoS does not take the exact experimental value as the prediction, but rather generates a prediction derived from a consensus of the individual models integrated within the CATMoS suite. Overlapping chemical structures between comparative datasets and the CATMoS dataset do not necessarily impact the interpretation of model results because the consensus prediction is a multistep mathematical process and is not based on any specific empirical value in the model dataset, which may differ from that in the comparative dataset.

Figure 1.

Figure 1.

Workflow detailing data curation, model building, and comparative analysis for assessing performance of CATMoS LD50 predictions of TGAIs for potential use in regulatory application.

Table 2.

Pesticides included in the analysis and their chemical classes based on BCPC (2023).

FUNGICIDES

• Amides  ㅁ Valinamidecarbamates • Organophosphates
 Benalaxyl-M    Benthiavalicarb   Tolclofos-methyl
 ㅁ Anilides    Iprovalicarb • Oxazolidinediones
   Fenhexamid    Valifenalate   Famoxadone
 ㅁ Benzamides • Aminopyrazolinones • Piperdines
   Fluopicolide   Fenpyrazamine   Fenpropidin
   Fluopyram • Antibiotics • Piperidinyl-thiazole-isoxazolines
   Zoxamide   Kasugamycin   Oxathiapiprolin
 ㅁ Cinnamamide oximes • Aryl phenyl ketones • Pyrimidines
   Dimethomorph   Metrafenone  ㅁ Anilinopyrimidines
 ㅁ Cyanoacetamide oximes   Pyriofenone    Cyprodinil
   Cymoxanil • Azoles    Mepanipyrim
 ㅁ Mandelamides  ㅁ Triazoles    Pyrimethanil
   Mandipropamid    Bromuconazole • Quinazolines
 ㅁ Phenylacetamide oximes    Epoxiconazole   Proquinazid
   Cyflufenamid    Flutriafol • Quinolines
 ㅁ Phenyloxoethy thiophenacetamides    Ipconazole   Quinoxyfen
   Isofetamid    Mefentrifluconazole • Quinones
 ㅁ Pyrazole carboxamides    Metconazole   Dithianon
   Benzovindiflupyr    Tetraconazole • Spiroketalamines
   Bixafen    Triticonazole   Spiroxamine
   Fluindapyr  ㅁ Triazolinthiones • Strobilurins
   Fluxapyroxad    Prothioconazole   Fluoxastrobin
   Inpyrfluxam • Carbamates   Kresoxim-methyl
   Isopyrazam   Diethofencarb   Mandestrobin
   Penflufen • Cyanoimidazoles   Picoxystrobin
   Penthiopyrad   Cyazofamid   Pyraclostrobin
   Sedaxane • Dinitroanilines   Trifloxystrobin
 ㅁ Pyridinecarboxamides   Fluazinam • Sulfamoyltriazoles
   Boscalid • Dinitrophenols   Amisulbrom
 ㅁ Sulfamides   Meptyldinocap • Tetrazolyloximes
   Tolyfluanid • Imidazolines   Picarbutrazox
 ㅁ Thiadiazolecarboxamides   Fenamidone • Triazolopyrimidines
   Isotianil • Morpholines   Ametoctradin
 ㅁ Thiazolecarboxamides   Fenpropimorph • Unclassified
   Ethaboxam   Furfural
• Amides • N-phenyltriazolinones • Triketones
 ㅁ Chloroacetamides   Azafenidin   Benzobicyclon
   Dimethenamid-P   Carfentrazone-ethyl   Bicyclopyrone
   Pethoxamid • Oxyacetamides   Mesotrione
 ㅁ Sulfonanilides   Flufenacet   Tembotrione
   Pyrimisulfan • Phenoxys • Ureas
• Aromatic acids  ㅁ Aryloxyphenoxypropionics  ㅁ Sulfonylureas
 ㅁ Arylcarboxylic acids    Clodinafop-propargyl    Ethametsulfuron-methyl
   Diflufenzopyr    Cyhalofop-butyl    Flazasulfuron
 ㅁ Benzoic acids • Pyrazoles    Flucarbazone-sodium
   Bispyribac-sodium  ㅁ Benzoylpyrazoles    Foramsulfuron
 ㅁ Benzyl ether acids    Pyrasulfatole    Iodosulfuron-methyl sodium
   Methiozolin    Topramezone    Imazosulfuron
 ㅁ Pyridinecarboxylic acids  ㅁ Phenylpyrazoles    Mesosulfuron-methyl
   Aminopyralid    Pyraflufen-ethyl    Orthosulfamuron
 Florpyrauxifen-benzyl  ㅁ Phenylpryrazolines    Propoxycarbazone
   Halauxifen-methyl    Pinoxaden    Sulfosulfuron
 ㅁ Pyrimidinecarboxylic acids • Pyridazines    Thiencarbazone-methyl
   Aminocyclopyrachlor   Pyridate    Trifloxysulfuron-sodium
• Cyclohexene oximes • Pyridines
  Tepraloxydim   Fluroxypyr-acid*
  Tralkoxydim   Fluroxypyr-MHE (ester)*
• Isoxazoles • Triazines
  Isoxaflutole   Indaziflam
• Isoxazolines   Propazine
  Pyroxasulfone • Triazolones
• N-phenylimides   Amicarbazone
  Butafenacil • Triazolopyrimidines
  Flufenpyr-ethyl   Cloransulam-methyl
  Flumioxazin   Diclosulam
  Fluthiacet   Florasulam
  Saflufenacil   Penoxsulam
  Tiafenacil   Pyroxsulam
• Amidines • Pyrazoles • Fluroalkenyls
  Demiditraz   Ethiprole   Fluensulfone
• Beta-ketonitriles   Tebufenpyrad • Organophosphates
  Cyflumetofen   Tolfenpyrad   Fosthiazate
• Benzoylureas • Pyrethroids • Unclassified
  Flufenoxuron   Alpha-cypermethrin   Tioxazafen
  Lufenuron   Flumethrin
  Novaluron   Imiprothrin PLANT GROWTH
ACTIVATORS/GROWTH
  Noviflumruon   Metofluthrin REGULATORS
  Teflubenzuron   Momfluorothrin
• Dicyclhydrazines   Transfluthrin • Benzothiadiazoles
  Methoxyfenozide • Pyridine azomethines   Acibenzolar-s-methyl
• Diamides   Pymetrozine • Unclassified
  Chlorantraniliprole • Quinazolines   Ecolyst (PT807-HCl)
  Cyantraniliprole   Fenazaquin   Forchlorfenuron
  Flubendiamide • Quinones   Prohexadione calcium
  Tetraniliprole   Acequinocyl
• Hydrazides • Semicarbazones REPTILICIDES
  Bifenazate   Metaflumizone
• Meta-diamides • Tetramic acids • Unclassified
  Broflanilide   Spirotetramat   Acetaminophen
• Neonicotinoids • Tetronic acids
 ㅁ Butenolides   Spirodiclofen
   Flupyradifurone   Spiromesifen
 ㅁ Cyano imidamides • Unclassified
   Acetamiprid   Buprofezin
   Thiacloprid   Etoxazole
 ㅁ Nitroguanidines   Fenpyroximate
   Clothianidin   Flonicamid
   Dinotefuran   Lithium P-sulfonate
   Thiamethoxam   Oxalic acide
• Sulfoximines   Picaridin
  Sulfoxaflor   Pyridalyl
• Oxadiazines
  Indoxacarb
*

The acid and ester forms of the herbicide fluroxpyr had different CAS numbers, structures, and LD50s and were analyzed separately.

2.2. Model predictions

In addition to the discrete LD50 and categorical toxicity category predictions used in this analysis, OPERA provided the prediction confidence range for the discrete values denoting the uncertainty limits, an accuracy estimate index ranging from 0 to 1, and two levels of applicability domain assessments (AD): a global AD (0 or 1) based on the entire model dataset specifying whether the prediction is within the limits of the chemical interpolation space and a local AD index ranging from 0 to1 based on the weighted similarity to the nearest neighbors (most similar structures based on the model’s descriptor space) of the predicted chemical. The assessments of the applicability domains follow the approaches described in Mansouri et al. (2018). The accuracy index is calculated using the information of the five nearest neighbors and represents the concordance among the predictions of the single independent models and the accuracy of predictions in comparison to the experimental data, all weighted by similarity (defined by the models’ selected descriptors). Optional information such as the experimental values when available and the five nearest neighbors’ information (identifiers, experimental and predicted values) can also be obtained. Additional information about how the model operates and is used can be found in the Supplemental Material Section S1 and Mansouri et al. (2021).

As described above, differences noted in in vivo LD50 values for the same test substance from different sources represent the inherent variability around in vivo experimental data. The analysis conducted during the CATMoS project that resulted in a margin of uncertainty of +/−0.24 log10 mg/kg (Karmaus et al., 2022) is considered a range of inherent variability for empirical acute oral toxicity data based on studies from the open literature, curated where possible based on adherence to the OPPT/OECD guidelines. The variability is thought to encompass the biological variance within the test organisms, the range of study designs, and general repeat-test variability due to other factors such as laboratory conditions. This variability range may or may not differ for other acute oral repeat testing sources that were not considered during the CATMoS project due to study design or conditions, although this range showed almost no variation during the curation process that gradually eliminated multiple chemicals and study results based on low confidence data, e.g., due to transcription/typo errors or unrealistic doses. For the current analysis, a data-driven confidence range was calculated around each CATMoS predicted LD50 based on the upper and lower confidence limits of +/−0.24 log10 mg/kg and included for comparison purposes to help characterize the accuracy of the predictions. All empirical and predicted values used in the analysis along with upper and lower confidence limits around the predicted values are provided in Supplemental Table S3.

2.3. Approach to comparative analysis

Using the CAS numbers of the selected pesticide TGAIs as input to OPERA, CATMoS predictions were generated based on SMILES structures for comparison to rat acute oral LD50s used in the RAs that were derived in guideline studies submitted to USEPA, both in terms of discrete LD50 values and USEPA toxicity categories. The full OPERA (version 2.7) output of CATMoS predictions for the pesticides analyzed here is available in Supplemental Table S4.

Acute oral toxicity categories based on empirical in vivo LD50s were compared to CATMoS-predicted categories to evaluate the model’s ability to provide a value consistent with the hazard associated with precautionary statements on current pesticide labels. This comparison was made based on whether CATMoS placed the pesticide in the same toxicity category as the in vivo data submitted to USEPA. Also, as part of the analysis, pesticides in categories III and IV (LD50s >500 mg/kg) based on in vivo data were considered together and compared to CATMoS predictions of >500 mg/kg, thus testing whether CATMoS correctly predicts when a pesticide is in category III but may also fall in category IV, categories which represent less potent chemicals.

For the comparison of the discrete LD50 values, the replicate data-driven upper confidence limits (UCL) and lower confidence limits (LCL) based on the confidence interval of +/−0.24 log10 mg/kg representing acute oral toxicity test variability were applied to the predicted discrete LD50 value to determine if the empirical LD50 from the USEPA RA fell within this confidence interval.

As many pesticide TGAIs display chirality or isomerism, and these chemicals with different three-dimensional forms can produce different toxicities, we investigated the potential impact on CATMoS predictions. TGAIs with various isomer mixtures can have differing biological activities and toxicity effects, which can be reflected both in empirical in vivo/in vitro data and in silico predictions as well. This is particularly challenging to modeling efforts designed for large, heterogeneous groups of chemicals where the machine learning algorithms work from two-dimensional structures without necessarily distinguishing between stereoisomers. CATMoS can only process two-dimensional structures, so it cannot predict toxicity of three-dimensional stereochemistry. Pesticides with chiral centers (no specific isomerism) were identified manually by USEPA, as well as from the chemical structures using the RDKit cheminformatic tool implemented in KNIME (Berthold et al., 2008), and the accuracy of CATMoS predictions of these versus achiral pesticides were compared to determine if chirality affected performance of the model.

3. Results

The empirical LD50s of the pesticide TGAIs in this analysis ranged from 62 mg/kg to7,500 mg/kg (Supplemental Table S3), encompassing three USEPA acute oral toxicity categories (II – IV). Only 57 pesticides had definitive LD50 values. The remaining 120 pesticides had non-definitive LD50 values with 42 chemicals estimated at >2,000 mg/kg, and 78 chemicals estimated at >5,000 mg/kg. There were no pesticides in the analysis with empirical values in category I; 12 pesticides were in category II; 84 were in category III; and 81 were in category IV. Therefore, while the majority are less potent chemicals (category III or IV), the analysis covered a relatively wide range of toxicity, lacking only the most potent, category I substances (e.g., rodenticides having been excluded). The LD50s predicted by CATMoS ranged from 23 mg/kg to 9,010 mg/kg, with 52 between >2,000 mg/kg and 5,000 mg/kg, and 24 at >5,000 mg/kg. All predictions were within the global AD of the model but with varying local AD indices.

3.1. Acute Oral Toxicity Category Comparisons

CATMoS model predictions agreed with or were more conservative than (over-predicted) the toxicity category based on the empirical in vivo LD50 value for 94% of the pesticides and under-predicted the category for only 6% (Fig. 2A). Nearly all of the differences in predicted category were within +/−1 USEPA category (Fig. 2B); of the remaining four model predictions that were within +/−2 USEPA categories, three were cases where the model predicted a category II for a category IV pesticide (transfluthrin, tolylfluanid, broflanilide), while one was a case where the model predicted a category I for a category III pesticide (fluensulfone). For the 12 category II pesticides, five (42%) were under-predicted as category III, while for 84 category III pesticides, only five (6%) were under-predicted as category IV (Fig. 2C).

Figure 2.

Figure 2.

CATMoS model LD50 category prediction agreement with category based on empirical in vivo LD50 data. (A) Agreement of empirical in vivo and model toxicity categories for 177 pesticides in terms of exact match, over-prediction (more potent than empirical) and under-prediction (less potent than empirical); (B) Agreement of empirical in vivo and model toxicity categories for 177 pesticides in terms of exact match, within +/−1 USEPA category or +/−2 USEPA categories; (C) Agreement of empirical in vivo and model toxicity categories for 177 pesticides by category in terms of exact match, over-prediction (more potent than empirical) and under-prediction (less potent than empirical).

Concordance analysis was used to compare toxicity categories based on CATMoS LD50 predictions to empirical LD50 values (Table 3). CATMoS predictions of category II were correct in 6/25 cases (24%) while 19 of those predictions (76%) were for chemicals that were less potent (category III/IV) according to empirical data. CATMoS predictions of category IV were correct in 19/24 cases (79%). Taken together, pesticides predicted by CATMoS to be in categories III or IV (n = 150) were, empirically, in either category III or IV (Table 3, area in the box) in 145 cases (97%), with just five cases in category II (3%).

Table 3.

Concordance of CATMoS predictions of acute oral toxicity categories I to IV with empirical in vivo toxicity categories. Bolded numbers indicate that predicted and empirical categories agree. Values within the box denote 145/150 CATMoS predictions of categories III or IV were, empirically, also in either category III or IV.

Toxicity Category based on CATMoS Prediction Number of predictions Toxicity Category based on Empirical In Vivo Test Data
I II III IV

I (<50 mg/kg) 2 - 1 1 -
II (50–500 mg/kg) 25 - 6 16 3
III (>500–5,000 mg/kg) 126 - 5 62 59
IV (>5,000 mg/kg) 24 - - 5 19
III and IV combined 150 - 5 145

For pesticides with an empirical value of >500 mg/kg (category III or IV), the CATMoS prediction was also >500 mg/kg in 145/165 cases, meaning that a prediction of category III or IV agreed with empirical data 88% of the time. The remaining 20 pesticides with empirical LD50s >500 mg/kg had CATMoS over-predictions that placed them in category II, or, in one case, in category I. Of 81 pesticides in category IV based on empirical data, CATMoS predicted three to be category II, 59 to be category III and 19 as category IV (Table 3). Thus, 23% were predicted correctly as category IV, and 73% were over-predicted as category III.

Overall, CATMoS was found to be a good predictor of toxicity categories III and IV as a combined group. While the model predictions were not always concordant with empirical values for pesticides identified as category II, CATMoS predictions of >500 mg/kg were concordant with empirical data of >500 mg/kg in nearly 90% of cases.

Concordance analyses based on toxicity category were also performed for the three main pesticide use sub-types from Table 2: fungicides (67), herbicides (56) and insecticides/acaricides/nematicides (49) to determine if the model predicted better for some sub-types than others (Supplemental Table S5). The type-relative, multiclass balanced accuracy (BA) values of 0.55, 0.56 and 0.68 for the fungicides, herbicides, and insecticides, respectively, indicated that the use sub-type specific concordance was like the overall concordance for the full list of chemicals (0.63) with the insecticides/acaricides/nematicides having the highest concordance of the three.

3.2. LD50 Discrete Value Comparisons

When used in quantitative RA, a more accurate prediction of LD50 is needed than for the acute toxicity categories. The discrete value LD50 CATMoS predictions, along with the CATMoS UCL and LCL, and the empirical LD50 values from in vivo rat studies submitted for pesticide TGAI registration and conducted under OPPTS 870.1100 are plotted in Fig. 3 and sorted from left to right in order of decreasing toxicity of the CATMoS prediction. (These data are also displayed as an X-Y plot in Supplemental Fig. S1). Empirical values (blue bars) reaching exactly 2,000 or 5,000 mg/kg represent limit tests that elicited no toxicity to the rat at those doses. Fig. 3 shows that, in general, CATMoS predictions of LD50 are lower (more toxic) than empirical definitive rat LD50s or limit tests. However, above a CATMoS-predicted LD50 of 2,000 mg/kg, the empirical value is also equal to or above 2,000 mg/kg 96% of the time except in 3/75 cases: clodinafop-propargyl, 1,392 mg/kg; fenpropimorph, 1,670 mg/kg; and pyrimisulfan, 1,750 mg/kg.

Figure 3.

Figure 3.

Comparison of empirical rat LD50s to the CATMoS predictions for 177 pesticides with CATMoS upper confidence limit (UCL) and lower confidence limit (LCL) based on data-derived inherent variability of +/− 0.24 log10 (Karmaus et al., 2022). Pesticides are sorted from left to right based on predicted toxicity, i.e., most toxic to least toxic. Empirical values associated with a non-definitive “>” value, including limit tests, are represented on this figure as point estimates at 2,000 mg/kg and 5,000 mg/kg. Red horizontal line denotes 1,300 mg/kg. Area in the black box indicates CATMoS point estimates above 2,000mg/kg considered reliable predictors of empirical values.

The ten CATMoS predictions between 1,300 and 2,000 mg/kg also had empirical values of >2,000 mg/kg (Fig. 3). Between 1,000 and 1,300 mg/kg, this relationship breaks down and there are seven under-predictions of toxicity in 23 cases (30%) with four of these outside the CATMoS confidence interval, and 12 cases (52%) where the empirical LD50s were greater than 2,000 mg/kg (Supplemental Table S3). Applying the inherent variability estimate of +/−0.24 log10 mg/kg to the potential thresholds of 1,000 and 1,300 mg/kg yielded a confidence interval at 1,300 mg/kg of 748 – 2,259 mg/kg, which includes the 2,000 mg/kg limit dose threshold. However, the confidence interval at 1,000 mg/kg was 575 – 1,738 mg/kg, which does not include the 2,000 mg/kg threshold. Therefore, a CATMoS prediction of >2,000 mg/kg appears to be a reliable indicator that the corresponding rat acute oral toxicity test would also produce an LD50 >2,000 mg/kg (Fig. 3, area in the black box). There is some evidence that predictions as low as 1,300 mg/kg may be considered reliable indicators of low or no toxicity because the corresponding empirical LD50s are >2,000 mg/kg, and the confidence limit includes the common limit dose of 2,000 mg/kg.

3.3. Chirality analysis

About 50% of the chemical structures in the list of pesticides were chiral molecules, which makes a good case for assessing their effect on the concordance analysis. We compared concordance of chiral and achiral chemicals based on six LD50 bins with regulatory relevance (Supplemental Table S6 and S7). These bins were obtained by breaking down the four toxicity categories into finer detail, with 500 mg/kg being a boundary between more and less toxic chemicals, with a greater focus on the less toxic chemicals (highest bin was >2,000 mg/kg). The overall concordance was an average BA of 0.61 for the chiral and 0.62 for the achiral chemicals, showing that the model prediction accuracy was not affected overall by the chirality of chemicals. However, this does not mean that accuracy is the same for all structures. Certainly, some stereoisomers will have noticeably different LD50 values, such as the pesticides alpha- and zeta-cypermethrin with LD50s of >2,000 mg/kg and 86 mg/kg, respectively (USEPA, 2017). Thus, it can be informative to identify chiral centers during the assessment and reporting of the toxicity of chemical structures, and when considering the accuracy of CATMoS predictions.

4. Discussion

Alternatives to animal tests are being actively pursued globally, both as 3Rs (Refinement, Reduction, Replacement) initiatives and to improve predictability of human and ecological outcomes. The determination of acute oral toxicity is a typical requirement for many regulatory agencies with regards to ingestion, handling, transport, and incidental exposure to chemical products. In silico models offer the potential to replace animal tests when determining acute oral toxicity without compromising human health or protection of the environment for many classes of chemicals, including pesticides.

In general, most newer, non-rodenticide pesticides have a specific pesticidal mode of action and are considerably less toxic to mammals than older, broad-spectrum pesticides. Indeed, 165 of the 177 chemicals examined here had in vivo empirical LD50s in the less potent categories III and IV (LD50 >500 mg/kg). Our analysis of CATMoS predictions showed good agreement with the empirical values for these categories. This finding is in accordance with the results of the Graham et al. (2021) evaluation of CATMoS for 353 pharmaceutical compounds, which determined that the model can be confidently employed to identify compounds of low toxicity (LD50 >300 mg/kg, i.e., Globally Harmonized System of classification and labelling of chemicals (GHS) category 4 and higher).

4.1. Model prediction outcomes in context of regulatory use

One reason for determining an LD50 is to identify chemicals that pose a greater acute hazard to humans through the oral exposure route than those chemicals with low hazard potential. Therefore, over-predictions by the model, while not necessarily in strict agreement with the animal test value, nevertheless are adequate for labeling purposes. However, the practical outcome of CATMoS over-predictions of category IV pesticides as category III, for example, would have necessitated inclusion of a signal word and precautionary statement on the product label, whereas category IV pesticides are not required to have either.

For environmental RAs, predictions that portray the pesticide as more toxic than empirical in vivo results could lead to unfounded adverse risk determinations for mammalian wildlife. The general trend of over-prediction of toxicity shown by CATMoS led to the determination of a threshold above which the predictions were considered quantitatively reliable. Comparison of empirical LD50 values and CATMoS LD50 predictions showed that point estimate predictions above 2,000 mg/kg corresponded in 73 of 76 cases (96%), to empirical results from limit tests of >2,000 mg/kg in rat studies, commonly thought to be an indicator of non-toxicity.

The 145 of 150 pesticides predicted by CATMoS to have an LD50 of >500 mg/kg (categories III and IV) also had empirical LD50 values of >500 mg/kg, suggesting that there is high confidence that pesticides predicted to be categories III or IV are not more toxic. However, 5/150 were predicted to be category III when, empirically, they were category II. All of these underpredictions were near the lower boundary of category III between 500 and 1,200 mg/kg. Therefore, a category III prediction in this range may need to be supported by additional lines of evidence. In fact, Bercu et al.’s (2021) assessment of the Leadscope QSAR model showed that model predictions accompanied by additional information such as chemical properties and attributes of analogs, increased the percentage of predictions that were correct or more conservative for all GHS hazard categories, and especially for higher toxicity categories I and II. Indeed, using such a weight of evidence approach is considered best practice to improving the overall reliability of any prediction (Myatt et al., 2018).

CATMoS LD50 predictions from 50 – 500 mg/kg (i.e., category II) tended to overestimate toxicity because 19 of the 25 chemicals had empirical LD50 values well above 500 mg/kg, including 14 with empirical LD50 values of >2,000 mg/kg and >5000 mg/kg (all in categories III or IV).

Finally, while there were too few pesticides in this analysis of recently registered TGAIs with empirical LD50 values in the more toxic categories I and II to draw useful conclusions from the comparisons with CATMoS predictions, we performed an evaluation of the model’s ability to accurately predict the toxicities of 16 older TGAIs (registered prior to 1998). Supplemental Table S8 shows that CATMoS correctly predicted 10 out of 11 category I pesticides with only one underprediction as a category II pesticide, and correctly predicted four out of five category II pesticides with one overprediction as a category I and no underpredictions. When combining these category II results with those from the main analysis, the model correctly predicted 10 out of 17, underpredicted five and overpredicted one. While CATMoS has shown that it can provide adequate hazard identification of toxicity categories III and IV, it also performed well for categories I and II in some cases. Nonetheless, USEPA is unlikely to consider a NAM approach for intended or suspected high toxicity chemicals at this time.

4.2. Incorporating variability into animal test and model LD50s

LD50 values are subject to variability whether derived from in vivo laboratory studies or in silico model predictions that are based on in vivo data. Incorporating variability into reference mammalian toxicity tests is an important consideration when setting performance expectations for NAMs (Pham et al., 2020; Rooney et al., 2021). Using +/−0.24 log10 mg/kg confidence interval for CATMoS predictions described above and demonstrated in Fig. 3 builds confidence in the LD50 predictions by helping the user to understand their relationship to the in vivo data submitted for pesticide registrations. Such error limits are driven by factors including dose-response, dose spacing, sex, and other laboratory test conditions, even when complying with standard protocols.

The confidence interval around the predictions may be particularly relevant in regulatory applications in cases where a range is calculated by the acute toxicity method used or a limit test is accepted and can be a more accurate representation of the in vivo LD50. An example is the case of inpyrfluxam that was reported in the ecological and human RAs (USEPA, 2020a; USEPA, 2020b) as having an LD50 for the female rat of 180 mg/kg (95% CI of 30 – 735 mg/kg) using the up-down method (USEPA, 2002; OECD, 2022) and as a range of 50 mg/kg >LD50 <300 mg/kg using the acute toxic class method (USEPA, 2002; OECD, 2002a). CATMoS predicted the LD50 for inpyrfluxam at 294 mg/kg with a confidence interval of 165 – 520 mg/kg, a good match with both estimates provided by the in vivo regulatory guideline methods.

CATMoS LD50 predictions provide a two-level applicability domain assessment based on the distribution and density of the data available in the covered chemical space around the predicted chemical. In addition, a confidence index ranging from 0 to 1 also informs the estimated accuracy of a prediction based on the similarity of the chemical in question to its nearest neighbors and the availability of empirical data for those surrounding chemicals. For example, this confidence index assisted in assessing the reliability of the model estimate for fluensulfone, a category III pesticide predicted by CATMoS to be a category I that had a low confidence index of 0.28. We found that it had poor representation in the model dataset and its five nearest neighbors, all with low toxicity, were similar to each other but not very similar to this chemical. This type of assessment can be used to decide if another method besides CATMoS may be needed to determine acute oral toxicity. Experimental and predicted data, as well as the identifiers of the five nearest neighbors, can be added to the OPERA output for CATMoS predictions, as for all OPERA models. Although it was demonstrated that for the current list of pesticides chirality did not affect the reliability statistics, it still should be considered in cases where chirality is known to affect toxicity.

4.3. Using CATMoS to reduce animal testing

In general, a greater level of uncertainty in CATMoS estimates may be accepted for chemicals with a predicted lower toxicity because there is generally a greater margin of safety relative to exposure compared to more toxic chemicals. With regards to acute oral toxicity categories, CATMoS predictions were reliable for pesticide TGAIs of LD50s >500 mg/kg (categories III and IV). The confidence index provided by the model could be used to decide if additional evidence or in vivo testing is warranted to confirm the appropriate toxicity category in cases where the prediction range straddles the boundary between category II and III. Quantitative use of the LD50 model estimate in RA would be limited to predicted values of >2,000 mg/kg based on the agreement of CATMoS predictions and guideline data above the 2,000 mg/kg threshold.

4.4. Possible further work

While the CATMoS model was shown to perform well for predicting acute oral toxicity of lower-toxicity pesticide TGAIs, far more LD50 tests are conducted annually to determine the acute oral toxicity of end-product pesticide formulations as part of the “six-pack” acute toxicity tests required under 40 CFR Part 158. A mathematical approach that applies a weighted-sum to the toxicity of individual ingredients, known as the GHS Mixtures Equation, has been shown to be useful in identifying low-toxicity formulations (Hamm et al., 2021). With further work, for example, use of in silico models such as CATMoS (that can predict only single molecules) in concert with the Mixtures Equation to predict the acute toxicity of new formulations may be evaluated for their combined predictive capabilities (e.g., Chusak et al., 2021).

As a follow up to this analysis, it is planned that the empirical data of the considered pesticides will be included in the knowledge base of the CATMoS consensus model to improve the predictions. Thus, it is anticipated that the predictions of these same chemicals as well as similar structures will be more accurate. Automatically generated chirality data can also be useful if provided in the CATMoS output with the predictions as an additional piece of information.

5. Conclusions

The USEPA uses the LD50 value from in vivo rat acute oral toxicity studies for two main purposes. One is for informing human-health hazard evaluations and determining the precautionary product label statement about the hazard associated with the product. The second is for informing risk to all mammalian wildlife in environmental risk assessment. CATMoS is an in silico approach to predict those LD50 values. When considering USEPA toxicity categories III and IV together, chemicals predicted by CATMoS to be in this range were consistent with in vivo category assignments 97% of the time. Due to some underestimates of category II pesticides as category III, a weight of evidence approach using multiple lines of evidence could help to understand the reliability of model predictions that are close to the lower boundary of category III. Predictions of pesticide TGAI discrete LD50 values >2,000 mg/kg were found to align well with empirical LD50 results from limit tests or definitive value studies exceeding 2,000 mg/kg. Our evaluation supports the potential use of CATMoS predictions of acute oral toxicity in rats when determining the need for whole animal studies.

Supplementary Material

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Highlights.

  • The CATMoS model was evaluated for predicting the rat LD50 of new pesticide technical grade active ingredients (TGAI).

  • Predictions were compared to empirical rat acute toxicity data of 177 TGAIs registered by the USEPA from 1998 – 2020.

  • Model reliability was high when placing TGAIs in USEPA acute toxicity categories III and IV.

  • CATMoS discrete value predictions of 2,000 mg/kg and higher were found to agree with empirical values with few exceptions.

  • Our evaluation supports the potential use of CATMoS predictions of TGAI acute oral toxicity in place of animal studies.

Acknowledgements

This project would not have been possible without Dr. Edward Odenkirchen (USEPA, retired) who was integral to establishing the concept and foundation for this work.

Footnotes

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. The work reported in this paper was conducted during the normal course of employment. Authors employed by the United States Environmental Protection Agency may have been involved in regulatory activities related to the pesticides discussed in this paper.

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Pesticides registered for use in the US or evaluated for import tolerances.

3

Most of the pesticides registered by USEPA during this period were new TGAIs, although some were older pesticides re-evaluated through USEPA’s registration review process (https://www.epa.gov/pesticide-reevaluation/registration-review-process)

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