Books in the Chapman & Hall/CRC Mathematical Biology Series series

Introduces the fundamental modeling and analytical techniques required to deepen understanding of biological phenomena. This text includes a section on spiral waves, developments in tumor biology, and covers the numerical solutions of different equations and numerical bifurcation analysis.

Extensively classroom-tested in undergraduate and graduate courses, this self-contained book presents biologically well-motivated and mathematically tractable models that facilitate both a deep understanding of cancer biology and better cancer treatment designs. It covers the medical and biological background of the diseases, modeling issues, and existing methods and their limitations. The authors introduce mathematical and programming tools, along with analytical and numerical studies of the models. They also develop new mathematical tools and look to future improvements on dynamical models.

Develops the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models. This book examines the basic problem for continuous time ordinary differential equations (ODEs). It introduces the optimal control of discrete systems and of partial differential equations (PDEs).

Cancer is a complex disease process that spans multiple scales in space and time. Drawing on an interdisciplinary group of distinguished international experts, this book discusses the scientific and technical expertise necessary to conduct innovative cancer modeling research across scales.

Recent developments have enhanced the applicability of normal mode analysis (NMA) to macromolecular assemblies, solid states, and non-linear spectroscopes. This book provides comprehensive coverage of molecular structure and dynamics and their implications for biological and chemical function.

This book addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory. It will be of use for graduate students and researchers interested in mathematical biology and ecology.

Reviewing the significant progress made in understanding spatiotemporal patterning in ecological and epidemiological systems, this resource shows that mathematical modeling and numerical simulations are effective tools in the study of population ecology and epidemiology. It takes a unified approach to population dynamics and epidemiology by present

Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of the equations that describe nonlinear problems encountered in the study of invasive species spread. The authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. They also provide new insight into important issues such as the impact of the Allee effect and the impact of predation. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice.

Demonstrates the advantages and methods of obtaining exact solutions of the equations that describe nonlinear problems encountered in the study of invasive species spread. This work presents a collection of exactly solvable models. It provides insight into issues such as the impact of the Allee effect and the impact of predation.

Providing an overview of quantitative biology, this book presents practical tools for the observation, modeling, design, and manipulation of biological systems from the molecular to cellular levels. The book offers an introduction to fundamental concepts and computational, mathematical, and experimental studies of molecular and cellular behavior