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Titlebook: Stochastic Chemical Reaction Systems in Biology; Hong Qian,Hao Ge Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusi

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发表于 2025-3-21 19:01:12 | 显示全部楼层 |阅读模式
书目名称Stochastic Chemical Reaction Systems in Biology
编辑Hong Qian,Hao Ge
视频videohttp://file.papertrans.cn/878/877878/877878.mp4
概述Provides a systematic mathematical treatment of biological population dynamics in terms of probability theory.Introduces a new theoretical framework for nonequilibrium statistical physics with applica
丛书名称Lecture Notes on Mathematical Modelling in the Life Sciences
图书封面Titlebook: Stochastic Chemical Reaction Systems in Biology;  Hong Qian,Hao Ge Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusi
描述.This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory..
出版日期Book 2021
关键词stochastic reaction systems; chemical kinetics; biochemical kinetics; cell biology; single-molecule enzy
版次1
doihttps://doi.org/10.1007/978-3-030-86252-7
isbn_softcover978-3-030-86251-0
isbn_ebook978-3-030-86252-7Series ISSN 2193-4789 Series E-ISSN 2193-4797
issn_series 2193-4789
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 21:48:40 | 显示全部楼层
Nonlinear Stochastic Reaction Systems with Simple Examplesment of a bimolecular reaction cannot be simplified to a single-molecule model. Thus, we must officially abandon the state-tracking molecular representation and adopt the numbercounting representation discussed in Chapter 11.
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Nonequilibrium Landscape Theory, Attractor-State Switching, and Autonomous Differentiationwn. The dynamics of such systems are complicated; they are dominated by collective behaviors due to the interactions and exhibit nonlinearity and stochasticity. Because of this, to an observer, even the simple task of merely “describing” a biological individual requires a great number of “bits” in i
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Lecture Notes on Mathematical Modelling in the Life Scienceshttp://image.papertrans.cn/s/image/877878.jpg
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Probability Distribution and Stochastic ProcessesThe fundamental objects in the theory of probability are random events that might occur but usually not with certainty. Each of the possible outcomes of a random event, therefore, is assigned a probability.
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