Stochastic Chemical Reaction Systems in Biology

This book serves as an introduction to stochastic dynamic models in biology, emphasizing mathematical techniques and their applications in various biological contexts.

This book offers a comprehensive introduction to the analysis of stochastic dynamic models specifically tailored for biology and medicine. Each chapter begins with a clear explanation of the biological context, followed by the development of mathematical models grounded in a unified set of principles. The aim is to provide readers with a coherent framework of probabilistic techniques and mathematical tools that can be effectively applied to simulate and analyze a variety of biological phenomena.

The focus of Stochastic Chemical Reaction Systems in Biology is on illustrating these tools through numerous examples. For every case study, the biological background is thoroughly discussed, ensuring that readers can appreciate the relevance of the mathematical models. The analysis of these models leads to a deeper understanding of biological implications, bridging the gap between mathematics and real-world biological applications.

Topics explored in this book include gene expression, biochemistry, cellular regulation, and cancer biology. It is designed to be accessible to graduate students who possess a solid foundation in differential equations, nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, alongside familiarity with basic probability theory. By the end of the book, readers will have gained valuable insights into the interplay between stochastic processes and biological systems, equipping them with essential analytical skills for future research endeavors.