Stochastic Processes in Cell Biology: Volume I

This book develops the theory of continuous and discrete stochastic processes within the context of cell biology, with a focus on nonequilibrium and self-organizing systems. It is divided into two volumes and covers a wide range of biological topics, including molecular processes, cellular processes, and mathematical methods. It is primarily aimed at graduate students and researchers in mathematical biology, statistical and biological physics, and applied mathematicians interested in stochastic modeling.

Format: Paperback / softback
Length: 748 pages
Publication date: 07 January 2023
Publisher: Springer Nature Switzerland AG

This comprehensive book delves into the realm of continuous and discrete stochastic processes, offering a profound exploration within the context of cell biology. In its second edition, the material has undergone a substantial expansion, particularly in the areas of nonequilibrium and self-organizing systems. Recognizing the vastness of the additional content, the book has been structured into two volumes, each dedicated to specific aspects. Volume I primarily focuses on molecular processes, while Volume II delves into cellular processes.

The new edition encompasses a wide array of biological topics, encompassing 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.

Furthermore, the book serves as an invaluable pedagogical introduction to the theory of stochastic and nonequilibrium processes. It encompasses fundamental concepts such as 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.

By presenting a comprehensive and detailed account of these topics, this book serves as a valuable resource for researchers, students, and professionals in the fields of cell biology, mathematics, and applied sciences. Its rigorous approach and comprehensive coverage make it an essential tool for anyone seeking to understand the complex dynamics and behaviors of biological systems.

Weight: 1175g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030725174
Edition number: 2nd ed. 2021