General Theory for Multiple Input-Output Perturbations in Complex Molecular Systems. 1. Linear QSPR Electronegativity Models in Physical, Organic, and Medicinal Chemistry
Abstract
In general perturbation methods starts with a known exact solution of a problem and add "small" variation terms in order to approach to a solution for a related problem without known exact solution. Perturbation theory has been widely used in almost all areas of science. Bhor's quantum model, Heisenberg's matrix mechanincs, Feyman diagrams, and Poincare's chaos model or "butterfly effect" in complex systems are examples of perturbation theories. On the other hand, the study of Quantitative Structure-Property Relationships (QSPR) in molecular complex systems is an ideal area for the application of perturbation theory. There are several problems with exact experimental solutions (new chemical reactions, physicochemical properties, drug activity and distribution, metabolic networks, etc.) in public databases like CHEMBL. However, in all these cases, we have an even larger list of related problems without known solutions. We need to know the change in all these properties after a perturbation of initial boundary conditions. It means, when we test large sets of similar, but different, compounds and/or chemical reactions under the slightly different conditions (temperature, time, solvents, enzymes, assays, protein targets, tissues, partition systems, organisms, etc.). However, to the best of our knowledge, there is no QSPR general-purpose perturbation theory to solve this problem. In this work, firstly we review general aspects and applications of both perturbation theory and QSPR models. Secondly, we formulate a general-purpose perturbation theory for multiple-boundary QSPR problems. Last, we develop three new QSPR-Perturbation theory models. The first model classify correctly >100,000 pairs of intra-molecular carbolithiations with 75-95% of Accuracy (Ac), Sensitivity (Sn), and Specificity (Sp). The model predicts probabilities of variations in the yield and enantiomeric excess of reactions due to at least one perturbation in boundary conditions (solvent, temperature, temperature of addition, or time of reaction). The model also account for changes in chemical structure (connectivity structure and/or chirality paterns in substrate, product, electrophile agent, organolithium, and ligand of the asymmetric catalyst). The second model classifies more than 150,000 cases with 85-100% of Ac, Sn, and Sp. The data contains experimental shifts in up to 18 different pharmacological parameters determined in >3000 assays of ADMET (Absorption, Distribution, Metabolism, Elimination, and Toxicity) properties and/or interactions between 31723 drugs and 100 targets (metabolizing enzymes, drug transporters, or organisms). The third model classifies more than 260,000 cases of perturbations in the self-aggregation of drugs and surfactants to form micelles with Ac, Sn, and Sp of 94-95%. The model predicts changes in 8 physicochemical and/or thermodynamics output parameters (critic micelle concentration, aggregation number, degree of ionization, surface area, enthalpy, free energy, entropy, heat capacity) of self-aggregation due to perturbations. The perturbations refers to changes in initial temperature, solvent, salt, salt concentration, solvent, and/or structure of the anion or cation of more than 150 different drugs and surfactants. QSPR-Perturbation Theory models may be useful for multi-objective optimization of organic synthesis, physicochemical properties, biological activity, metabolism, and distribution profiles towards the design of new drugs, surfactants, asymmetric ligands for catalysts, and other materials.
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Gonzalez-Diaz et al. developed PTML methods for simultaneous prediction of many target properties under several experimental conditions.
“More recently, Gonzalez-Diaz et al.109 developed the perturbation theory machine learning (PTML) methods that search for QSAR models capable of simultaneous prediction of many target properties under several experimental conditions.”
From QSAR without borders (2020) · cites this paper as [109]
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Latest advances in molecular topology applications for drug discovery
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Experimental study and Random Forest prediction model of microbiome cell surface hydrophobicity
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Dı́ez-Alarcia, R., Yáñez‐Pérez, V., Arrate, I. M., Arrasate, S., Lete, E., Meana, J. J., & González‐Díaz, H. (2019) · ACS Chemical Neuroscience · doi:10.1021/acschemneuro.9b00302 · Cited by 44 · see citing works
Self-citationKumar, G., & Ardekani, A. M. (2025) · ACS Applied Bio Materials · doi:10.1021/acsabm.4c01716 · Cited by 43 · see citing works
Prediction of Antimalarial Drug-Decorated Nanoparticle Delivery Systems with Random Forest Models
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Self-citationChan, C., Du, S., Dong, Y., & Cheng, X. (2020) · Current Topics in Medicinal Chemistry · doi:10.2174/1568026620666201126162945 · Cited by 45 · see citing works
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Perturbation Theory–Machine Learning Study of Zeolite Materials Desilication
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Machine Learning Study of Metabolic NetworksvsChEMBL Data of Antibacterial Compounds
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Self-Assembly Drugs: From Micelles to Nanomedicine
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Multi-scale QSAR Approach for Simultaneous Modeling of Ecotoxic Effects of Pesticides
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PTML Model of ChEMBL Compounds Assays for Vitamin Derivatives
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Quasi-SMILES: Self-consistent models for toxicity of organic chemicals to tadpoles
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Vázquez-Prieto, S., Paniagua, E., Ubeira, F. M., & González‐Díaz, H. (2016) · International Journal of Peptide Research and Therapeutics · doi:10.1007/s10989-016-9524-x · Cited by 10 · see citing works
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QSAR-Based Studies of Nanomaterials in the Environment
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IFE.PTML: advancing neurotherapeutic nanoparticle release-system design for enhanced brain delivery
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Self-citationComputational Modeling and Experimental Facts of Mixed Self- Assembly Systems
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QSAR-Based Studies of Nanomaterials in the Environment
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Fatty Acids Distribution Networks in Ruminal Membrane by Computational and Experimental Studies
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Machine Learning: The Way for Improving Law Application
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Modern Trends in Chemical Reactions Modeling
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Perturbation-Theory Machine Learning (PTML) Models for Predicting Metabolic Reaction Networks
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PTML in optimizing preclinical plasmodium assays
Quevedo-Tumailli, V., & Ortega-Tenezaca, B. (2021) · MOL2NET International Conference on Multidisciplinary Sciences (MOL2NET) · doi:10.3390/mol2net-07-11820
- Authors
- Gonzalez-Diaz, H., Arrasate, S., Gomez-SanJuan, A., Sotomayor, N., Lete, E., Besada-Porto, L., & Ruso, J.
- Venue
- Current Topics in Medicinal Chemistry
- Publisher
- Bentham Science Publishers Ltd.
- Published
- 2013-08-01
- Volume
- 13
- Issue
- 14
- Pages
- 1713-1741
- ISSN
- 1568-0266 (ISSN-L)
- OpenAlex
- W2137226045
- Cited by
- 101
- References
- 231
- Citations by year
- 2025: 6 · 2024: 5 · 2022: 7 · 2021: 8 · 2020: 17 · 2019: 14 · 2018: 7 · 2017: 10 · 2016: 12 · 2015: 9 · 2014: 6
- FWCI
- 9.86
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Current Topics in Medicinal Chemistry (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Computational Drug Discovery Methods
- Physical Sciences › Mathematics › Geometry and Topology › Graph theory and applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Keywords
- QSPR, perturbation theory, electronegativity, carbolithiation, organolithium reactions, asymmetric catalysis, enantiomeric excess, reaction yield prediction, molecular descriptors, drug activity prediction, metabolic networks, drug repurposing
- MeSH terms
- Chemistry, Pharmaceutical, Pharmaceutical Preparations, Models, Molecular, Proteins, Quantum Theory, Quantitative Structure-Activity Relationship
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