Stochastic processes in cell biology. Volume I [electronic resource]

• 作者： Bressloff, Paul C.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Interdisciplinary applied mathematics ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 版本：Second edition.
• 叢書名： Interdisciplinary applied mathematics,v. 41
• 主題： Computational biology. , Molecular biology. , Stochastic processes. , Mathematical and Computational Biology. , Probability Theory. , Cell Biology.
• ISBN： 9783030725150 (electronic bk.) 、 9783030725143 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Random walks and Brownian motion -- Protein receptors and ion channels -- Molecular motors -- Stochastic gene expression and regulatory networks -- Diffusive transport -- Active transport -- The WKB method, path integrals, and large deviations -- Probability theory and martingales.
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• 摘要註: This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. Given the amount of additional material, the book has been divided into two volumes, with volume I mainly covering molecular processes and volume II focusing on cellular processes. A wide range of biological topics are covered in the new edition, including stochastic ion channels and excitable systems, molecular motors, stochastic gene networks, genetic switches and oscillators, epigenetics, normal and anomalous diffusion in complex cellular environments, stochastically-gated diffusion, active intracellular transport, signal transduction, cell sensing, bacterial chemotaxis, intracellular pattern formation, cell polarization, cell mechanics, biological polymers and membranes, nuclear structure and dynamics, biological condensates, molecular aggregation and nucleation, cellular length control, cell mitosis, cell motility, cell adhesion, cytoneme-based morphogenesis, bacterial growth, and quorum sensing. The book also provides a pedagogical introduction to the theory of stochastic and nonequilibrium processes - Fokker Planck equations, stochastic differential equations, stochastic calculus, master equations and jump Markov processes, birth-death processes, Poisson processes, first passage time problems, stochastic hybrid systems, queuing and renewal theory, narrow capture and escape, extreme statistics, search processes and stochastic resetting, exclusion processes, WKB methods, large deviation theory, path integrals, martingales and branching processes, numerical methods, linear response theory, phase separation, fluctuation-dissipation theorems, age-structured models, and statistical field theory. This text is primarily aimed at graduate students and researchers working in mathematical biology, statistical a
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