(Ebook) Stochastic Processes in Cell Biology Volume II by Paul C. Bressloff ISBN 9783030725198, 9783030725181, 3030725197, 3030725189

(Ebook) Stochastic Processes in Cell Biology Volume II by Paul C. Bressloff ISBN 9783030725198, 9783030725181, 3030725197, 3030725189

Audience: • Mathematically sophisticatedMain subject categories: • Applied mathematics • Molecular biology • Cell biologyThis book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the 2nd 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 Vol I mainly covering molecular processes and Vol 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.