期刊全称 | A Quest Towards a Mathematical Theory of Living Systems | 影响因子2023 | Nicola Bellomo,Abdelghani Bellouquid,Nisrine Outad | 视频video | | 发行地址 | Written by top researchers in mathematical modeling based on over 20 years of research.Provides a unified framework for a mathematical approach to the modeling and analysis of living systems.Will cont | 学科分类 | Modeling and Simulation in Science, Engineering and Technology | 图书封面 |  | 影响因子 | This monograph aims to lay the groundwork for the design of a unified mathematical approach to the modeling and analysis of large, complex systems composed of interacting living things. Drawing on twenty years of research in various scientific fields, it explores how mathematical kinetic theory and evolutionary game theory can be used to understand the complex interplay between mathematical sciences and the dynamics of living systems. The authors hope this will contribute to the development of new tools and strategies, if not a new mathematical theory..The first chapter discusses the main features of living systems and outlines a strategy for their modeling. The following chapters then explore some of the methods needed to potentially achieve this in practice. Chapter Two provides a brief introduction to the mathematical kinetic theory of classical particles, with special emphasis on the Boltzmann equation; the Enskog equation,mean field models, and Monte Carlo methods are also briefly covered. Chapter Three uses concepts from evolutionary game theory to derive mathematical structures that are able to capture the complexity features of interactions within living systems. The | Pindex | Book 2017 |
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