Bücher der Reihe Cambridge Studies in Mathematical Biology

Presented in this document is a class of deterministic models describing the dynamics of two plant species whose characteristics are common to the majority of annual plants that have a seedbank. The book gives a detailed account of model construction, analysis and application to field data obtained from long-term trials.

As interest in theoretical biology grows, so does the need for an accessible link between these theories and experiments. The central purpose of this book is to illustrate the premise that examination of the kinetics of biological processes can give valuable information concerning the underlying mechanisms that are responsible for these processes.

In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for delays such as those due to gestation, maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.

This book gives a theoretical treatment of the competition between different strains of micro-organisms consuming a single nutrient in a common laboratory device called a chemostat. Mathematical analysis using tools of dynamical systems leads to general and testable predictions of the behaviour of real ecological and biotechnology systems.

This volume develops a unifying approach to population studies emphasising the interplay between modelling and experimentation. Deterministic and stochastic effects are discussed, together with spatial and non-spatial elements. This provides a stimulating and wide-ranging account of the subject.

This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. This is an important and vigorously researched field. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the cornerstone of this body of work. Her treatment includes a derivation of the Hodgkin-Huxley model, which is a system of four nonlinear differential equations; a discussion of the validity of this model; and a summary of some of the mathematical analysis carried out on this model. Special emphasis is placed on singular perturbation theory, and arguments, both mathematical and physiological, for using the perturbation viewpoint are presented.

A clear and concise summary of the fluid dynamics of the locomotion of living organisms. The biological phenomena described in detail range from the swimming of bacteria and fish to the flying of insects and birds. It will be readily accessible to students of applied mathematics and biologists who have engineering or physics backgrounds.

This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. Based on courses taught by the author, the text includes many exercises that examine key points. All students of mathematical biology will find this book to be a highly useful resource.

This is a general introduction to the ideas and techniques required for the mathematical modelling of diseases. Exercises and complementary results extend the scope of the text, which will be useful for students of mathematical biology who have some basic knowledge of probability and statistics.

Describes signal processing aspects of neural networks and their applications. This is an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.

As interest in theoretical biology grows, so does the need for an accessible link between these theories and experiments. The central purpose of this book is to illustrate the premise that examination of the kinetics of biological processes can give valuable information concerning the underlying mechanisms that are responsible for these processes.

In this new edition Brian Charlesworth provides a comprehensive review of the theories and methods used to study age-structured populations.

The human brain contains billions of nerve cells whose activity plays a critical role in the way we behave, feel, perceive, and think. This two-volume set explains the basic properties of a neuron - an electrically active nerve cell - and develops mathematical theories for the way neurons respond to the various stimuli they receive.

The second part of this two-volume set contains advanced aspects of the quantitative theory of the dynamics of neurons.

This short textbook on the mathematics of genome analysis presents a brief description of several ways in which mathematics and statistics are being used in genome analysis and sequencing. It will be of interest not only to students but also to professional mathematicians curious about the subject.

In small populations complex patterns of genealogical relationship between individuals can be an important factor in the maintenance of genetic variability.

This introduction to mathematical methods that are useful for studying population phenomena is intended for advanced undergraduate and graduate students, and will be accessible to scientists who do not have a strong mathematics background. Exercises illustrate material in the text and also deal with models more advanced than those derived and studied in the text.