Book

Mathematical Biology: Theory and Applications A Modern Introduction to the Quantitative Life Sciences The 21st century has witnessed a profound convergence between mathematics and biology. Today, mathematical models are essential tools for understanding population fluctuations, controlling infectious diseases, designing drug therapies, and unraveling the genetic circuitry of cells. This book provides a comprehensive, problem-driven introduction to the mathematical frameworks that underpin modern biology. Beginning with foundational models—exponential and logistic growth, predator–prey dynamics, and the SIR epidemic model—the book progressively builds toward advanced topics including reaction–diffusion systems, Turing morphogenesis, evolutionary game theory, and stochastic simulation. Each chapter is organized around a core biological question, ensuring that the mathematics always serves the biology, not the other way around. Key features of this book include: Clear derivations of the most influential models in mathematical biology Biological context for every equation, with real-world examples from ecology, epidemiology, pharmacology, and developmental biology Computational tools with step-by-step MATLAB and Python code Chapter-end exercises ranging from analytical problems to open-ended modeling projects Appendices on differential equations, linear algebra, and numerical methods Written for advanced undergraduates, graduate students, and researchers entering the field, this book assumes only a basic background in calculus and linear algebra. All biological concepts are introduced as needed, making it accessible to readers from diverse scientific backgrounds. Whether you aim to model the next pandemic, design cancer therapies, or understand the patterns of nature, this book provides the mathematical foundation you need to transform biological questions into quantitative answers.