This beautifully crafted book collects images, which were created during the process of research in all fields of theoretical biology. Data analysis, numerical treatment of a model, or simulation results yield stunning images, which represent pieces of art just by themselves. The approach of the book is to present for each piece of visualization a lucid synopsis of the scientific background as well as an outline of the artistic vision.

As scientists debated the nature of life in the nineteenth century, two theories predominated: vitalism, which suggested that living things contained a "vital spark," and mechanism, the idea that animals and humans differed from nonliving things only in their degree of complexity. Erik Peterson tells the forgotten story of the pursuit of a Third Way in biology, known by many names, including "the organic philosophy," which gave rise to C. H. Waddington's work in the subfield of epigenetics: an alternative to standard genetics and evolutionary biology that captured the attention of notable scientists from Francis Crick to Stephen Jay Gould. The Life Organic chronicles the influential biologists, mathematicians, philosophers, and biochemists from both sides of the Atlantic who formed Joseph Needham's Theoretical Biology Club, defined and refined Third-Way thinking through the 1930s, and laid the groundwork for some of the most cutting-edge achievements in biology today. By tracing the persistence of organicism into the twenty-first century, this book also raises significant questions about how we should model the development of the discipline of biology going forward.

Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use MATLAB® to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behavior, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modeling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modeling of these diverse biological phenomena.

The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples. Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies. Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided. The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers.

How does complexity of development, structure, and function of organisms emerge from the relative simplicity of biochemistry and genetics? In Theoretical Biology, Brian Goodwin and Peter Saunders bring together a distinguished group of contributors to provide a broad-based yet coherent inquiry into biological processes. In the spirit of C. H. Waddington's Towards a Theoretical Biology, the authors seek to establish the generative principles that apply throughout the field of biology to give a unifying logical structure to diverse empirical phenomena. Major topics include self-organization in complex systems; order and adaptability in genetic networks; development and evolution; and the relevance of physics and mathematics to biology.

This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS

The purpose of this volume is to bring together a number of elements that would be useful in the construction of a coherent and comprehensive theory of biology. Based on the assumption that living systems represent some kind of "organized complexity," the collection discusses meaningful ways of formulating two basic questions: what is the nature of this complexity; and, what are the principles of its organization? The question always asked about biological theory is whether or not it constitutes useful scientific theory. Because many useful biological theories cannot yet be made explicit in terms of conventional physics, Sketching Theoretical Biology illustrates the types of questions in biology that correspond to the types of issues discussed in theoretical physics. This book, originally published in 1969, centers around a vigorous debate on the role played by metaphysical beliefs in determining scientific attitudes. The discussion covers heredity and evolution, cognitive processes and control processes, general property of hierarchies, and the current status of neo-Darwinism. Contributors include theoretical physicists, philosophers, neuroscientists, theoretical chemists, computer scientists, chemical engineers, geneticists and molecular biologists.