Although the concept of similarity is a convenient for humans, a formal definition of similarity between chemical compounds is needed to enable automatic decision‐making. The objective of similarity measures in toxicology and drug design is to allow assessment of chemical activities. The ideal similarity measure should be relevant to the activity of interest. The relevance could be established by exploiting the knowledge about fundamental chemical and biological processes responsible for the activity. Unfortunately, this knowledge is rarely available and therefore different approximations have been developed based on similarity between structures or descriptor values. Various methods are reviewed, ranging from two‐dimensional, three‐dimensional and field approaches to recent methods based on “Atoms in Molecules” theory. All these methods attempt to describe chemical compounds by a set of numerical values and define some means for comparison between them. The review provides analysis of potential pitfalls of this methodology – loss of information in the representations of molecular structures – the relevance of a particular representation and chosen similarity measure to the activity. A brief review of known methods for descriptor selection is also provided. The popular “neighborhood behavior” principle is criticized, since proximity with respect to descriptors does not necessarily mean proximity with respect to activity. Structural similarity should also be used with care, as it does not always imply similar activity, as shown by examples. We remind that similarity measures and classification techniques based on distances rely on certain data distribution assumptions. If these assumptions are not satisfied for a given dataset, the results could be misleading. A discussion on similarity in descriptor space in the context of applicability domain assessment of QSAR models is also provided. Finally, it is shown that descriptor based similarity analysis is prone to errors if the relationship between the activity and the descriptors has not been previously established. A justification for the usage of a particular similarity measure should be provided for every specific activity by expert knowledge or derived by data modeling techniques.

A novel mechanistic modeling approach has been developed that assesses chemical biodegradability in a quantitative manner. It is an expert system predicting biotransformation pathway working together with a probabilistic model that calculates probabilities of the individual transformations. The expert system contains a library of hierarchically ordered individual transformations and matching substructure engine. The hierarchy in the expert system was set according to the descending order of the individual transformation probabilities. The integrated principal catabolic steps are derived from set of metabolic pathways predicted for each chemical from the training set and encompass more than one real biodegradation step to improve the speed of predictions. In the current work, we modeled O2 yield during OECD 302 C (MITI I) test. MITI-I database of 532 chemicals was used as a training set. To make biodegradability predictions, the model only needs structure of a chemical. The output is given as percentage of theoretical biological oxygen demand (BOD). The model allows for identifying potentially persistent catabolic intermediates and their molar amounts. The data in the training set agreed well with the calculated BODs (r2 = 0.90) in the entire range i.e. a good fit was observed for readily, intermediate and difficult to degrade chemicals. After introducing 60% ThOD as a cut off value the model predicted correctly 98% ready biodegradable structures and 96% not ready biodegradable structures. Crossvalidation by four times leaving 25% of data resulted in Q2 = 0.88 between observed and predicted values. Presented approach and obtained results were used to develop computer software for biodegradability prediction CATABOL.

Recently we described the Common REactivity PAttern (COREPA) technique to screen data sets of diverse structures for their ability to serve as ligands for steroid hormone receptors [1]. The approach identi®es and quanti®es similar global and local stereoelectronic characteristics associated with active ligands through a comparison of energeticallyreasonable conformer distributions for selected descriptors. For each stereoelectronic descriptor selected, discrete conformer distributions from a training set of ligands are evaluated and parameter ranges common for conformers from all the chemicals in the training set are identi®ed. The use of discrete partitions of parameter ranges to de®ne common reactivity patterns can, however, in¯uence the outcome of the algorithm. To address this limitation, the original method has been extended by approximating continuous conformer distributions as probability distributions. The COREPA-Continuous (COREPA-C) algorithm assesses the common reactivity pattern of biologicallysimilar molecules in terms of a product of probability distributions, rather than a collection of common population ranges determined by examination of discrete partitions of a distribution. To illustrate the algorithm, common reactivity patterns based on interatomic distance and charge on heteroatoms were developed and evaluated using a set of 28 androgen receptor ligands. Notable attributes of the COREPA-C algorithm include¯exibility in establishing stereoelectronic descriptor criteria for identifying active and nonactive compounds and the ability to quantify threedimensional chemical similarity without the need to predetermine a toxicophore or align compounds(s) to a lead ligand.

A new approach for coverage of the conformational space by a limited number of conformers is proposed. Instead of using a systematic search whose time complexity increases exponentially with degrees of freedom, a genetic algorithm (GA) is employed to minimize 3D similarity among the conformers generated. This makes the problem computationally feasible even for large, flexible molecules. The 3D similarity of a pair of conformers is assumed to be reciprocal to the root-mean-square (rms) distance between identical atomic sites in an alignment providing its minimum. Thus, in contrast to traditional GA, the fitness of a conformer is not quantified individually but only in conjunction with the population it belongs to. The approach handles the following stereochemical and conformational degrees of freedom:  rotation around acyclic single and double bonds, inversion of stereocenters, flip of free corners in saturated rings, and reflection of pyramids on the junction of two or three saturated rings. The latter two were particularly introduced to encompass the structural diversity of polycyclic structures. However, they generally affect valence angles and can be restricted up to a certain level of severity of such changes. Stereochemical modifications are totally/selectively disabled when the stereochemistry is exactly/partially specified on input. Three quality criteria, namely robustness, reproducibility, and coverage of the conformational space, are used to assess the performance of various GA experimental settings employed on four molecules with different numbers of conformational degrees of freedom. It was found that with the increase of the ratio between the number of parents and children, the reproducibility of GA runs increases whereas their robustness and coverage decrease. Force field optimization of conformers for each generation was found to improve significantly the reproducibility of results, at the cost of worse conformational coverage.

Recently, the COmmon REactivity PAttern (COREPA) approach was developed as a probabilistic classification method which was formalized specifically to advance mechanistic QSAR development by addressing the impact of molecular flexibility on stereoelectronic properties of chemicals. In the initial version of COREPA, the probability distributions for only one stereoelectronic parameter at a time were analyzed for the series of chemicals under analysis. To go beyond considering probability distributions of one parameter at a time requires the capability of analyzing a suite of parameters simultaneously for each chemical. This work creates that capability for a multidimensional formulation of the COREPA which is expected to enhance the reliability of the method to discriminate complex patterns. Using probability distance measures such as Kullback-Leibler divergence and Hellinger distance, the set of parameters are defined that best discriminate activity. The COREPA-M system automatically identifies the parameters that best discriminates chemicals in groups defined by comparable reactivity endpoints. A detailed Bayesian decision tree is then used for classifying untested chemicals with measures of ™good-ness of fit∫ criteria. COREPA-M is illustrated using the example of modelling binding affinity of chemicals at the aryl hydrocarbon receptor.

Abstract. Drought events and their impacts vary spatially and temporally due to diverse pedo-climatic and hydrologic conditions, as well as variations in exposure and vulnerability, such as demographics and response actions. While hazard severity and frequency of past drought events have been studied in detail, little is known about the effect of drought management strategies on the actual impacts and how the hazard is perceived by relevant stakeholders. In a continental study, we characterised and assessed the impacts and the perceptions of two recent drought events (2018 and 2019) in Europe and examined the relationship between management strategies and drought perception, hazard, and impact. The study was based on a pan-European survey involving national representatives from 28 countries and relevant stakeholders responding to a standard questionnaire. The survey focused on collecting information on stakeholders' perceptions of drought, impacts on water resources and beyond, water availability, and current drought management strategies on national and regional scales. The survey results were compared with the actual drought hazard information registered by the European Drought Observatory (EDO) for 2018 and 2019. The results highlighted high diversity in drought perception across different countries and in values of the implemented drought management strategies to alleviate impacts by increasing national and sub-national awareness and resilience. The study identifies an urgent need to further reduce drought impacts by constructing and implementing a European macro-level drought governance approach, such as a directive, which would strengthen national drought management and mitigate damage to human and natural assets.

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