Abstract
This review is focused on mathematical modeling of behaviors of a whole organism with special emphasis on models with a clearly scientific approach to the problem that helps to understand the mechanisms underlying behavior. The aim is to provide an overview of old and contemporary mathematical models without complex mathematical details. Only deterministic and stochastic, but not statistical models are reviewed. All mathematical models of behavior can be divided into two main classes. First, models that are based on the principle of teleological determinism assume that subjects choose the behavior that will lead them to a better payoff in the future. Examples are game theories and operant behavior models both of which are based on the matching law. The second class of models are based on the principle of causal determinism, which assume that subjects do not choose from a set of possibilities but rather are compelled to perform a predetermined behavior in response to specific stimuli. Examples are perception and discrimination models, drug effects models and individual-based population models. A brief overview of the utility of each mathematical model is provided for each section.
Keywords: weber-fechners law, kakutani fixed point theorem, game theory, iterated prisoners dilemma, melioration theory, reinforcement
Current Pharmaceutical Design
Title: Mathematical Models of Behavior of Individual Animals
Volume: 13 Issue: 15
Author(s): Vladimir L. Tsibulsky and Andrew B. Norman
Affiliation:
Keywords: weber-fechners law, kakutani fixed point theorem, game theory, iterated prisoners dilemma, melioration theory, reinforcement
Abstract: This review is focused on mathematical modeling of behaviors of a whole organism with special emphasis on models with a clearly scientific approach to the problem that helps to understand the mechanisms underlying behavior. The aim is to provide an overview of old and contemporary mathematical models without complex mathematical details. Only deterministic and stochastic, but not statistical models are reviewed. All mathematical models of behavior can be divided into two main classes. First, models that are based on the principle of teleological determinism assume that subjects choose the behavior that will lead them to a better payoff in the future. Examples are game theories and operant behavior models both of which are based on the matching law. The second class of models are based on the principle of causal determinism, which assume that subjects do not choose from a set of possibilities but rather are compelled to perform a predetermined behavior in response to specific stimuli. Examples are perception and discrimination models, drug effects models and individual-based population models. A brief overview of the utility of each mathematical model is provided for each section.
Export Options
About this article
Cite this article as:
Tsibulsky L. Vladimir and Norman B. Andrew, Mathematical Models of Behavior of Individual Animals, Current Pharmaceutical Design 2007; 13 (15) . https://dx.doi.org/10.2174/138161207780765873
DOI https://dx.doi.org/10.2174/138161207780765873 |
Print ISSN 1381-6128 |
Publisher Name Bentham Science Publisher |
Online ISSN 1873-4286 |
- Author Guidelines
- Graphical Abstracts
- Fabricating and Stating False Information
- Research Misconduct
- Post Publication Discussions and Corrections
- Publishing Ethics and Rectitude
- Increase Visibility of Your Article
- Archiving Policies
- Peer Review Workflow
- Order Your Article Before Print
- Promote Your Article
- Manuscript Transfer Facility
- Editorial Policies
- Allegations from Whistleblowers
- Announcements
Related Articles
-
Current Drugs and Potential Future Neuroprotective Compounds for Parkinson’s Disease
Current Neuropharmacology Molecular Docking Study of Catecholamines and [4-(Propan-2-yl) Phenyl]Carbamic acid with Tyrosine Hydroxylase
CNS & Neurological Disorders - Drug Targets Mutations in PRKN and SNCA Genes Important for the Progress of Parkinson’s Disease
Current Genomics Tau as a Therapeutic Target for Alzheimers Disease
Current Alzheimer Research Chemical Biology of mGlu4 Receptor Activation: Dogmas, Challenges, Strategies and Opportunities
Current Topics in Medicinal Chemistry Glutamate Receptors as Therapeutic Targets for Parkinsons Disease
CNS & Neurological Disorders - Drug Targets Revisiting the Medical Management of Parkinson’s Disease: Levodopa versus Dopamine Agonist
Current Neuropharmacology An Update on Adenosine A2A Receptors as Drug Target in Parkinson's Disease
CNS & Neurological Disorders - Drug Targets The Role of Neurogenesis in Neurodegenerative Diseases and its Implications for Therapeutic Development
CNS & Neurological Disorders - Drug Targets The Role of Melatonin in Multiple Sclerosis, Huntington's Disease and Cerebral Ischemia
CNS & Neurological Disorders - Drug Targets Receptor-Binding and Pharmacokinetic Properties of Dopaminergic Agonists
Current Topics in Medicinal Chemistry The Implications of Human Stem Cell Differentiation to Endothelial Cell Via Fluid Shear Stress in Cardiovascular Regenerative Medicine: A Review
Current Pharmaceutical Design Bioactive N-Phenylimidazole Derivatives
Current Chemical Biology Structural Properties of the NMDA Receptor and the Design of Neuroprotective Therapies
Mini-Reviews in Medicinal Chemistry A Laconic Overview on Fast Dissolving Sublingual Films as Propitious Dosage Form
Drug Delivery Letters Potential Benefits and Limits of Psychopharmacological Therapies in Pervasive Developmental Disorders
Current Clinical Pharmacology Psychopharmacological Interventions for Adolescents with Eating Disorders
Adolescent Psychiatry Progress in Understanding Basal Ganglia Dysfunction as a Common Target for Methamphetamine Abuse and HIV-1 Neurodegeneration
Current HIV Research The Future of Neuroregenerative Therapy for Parkinson’s Disease
Current Tissue Engineering (Discontinued) Different Generations of Type-B Monoamine Oxidase Inhibitors in Parkinson’s Disease: From Bench to Bedside
Current Neuropharmacology