Provides a wide range of mathematical models currently used in the life sciences
Each model is thoroughly explained and illustrated by example
Includes three appendices to allow for independent reading
Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. Of course this panoramic study does not claim to offer a detailed and exhaustive view of the many interactions between mathematical models and life sciences. This textbook provides a general overview of realistic mathematical models in life sciences, considering both deterministic and stochastic models and covering dynamical systems, game theory, stochastic processes and statistical methods. Each mathematical model is explained and illustrated individually with an appropriate biological example. Finally three appendices on ordinary differential equations, evolution equations, and probability are added to make it possible to read this book independently of other literature.
General introduction.- Continuous-time dynamical systems.- Discrete-time dynamical systems.- Game theory and evolution.- Markov chains and diffusions.- Random arborescent models.- Statistics.
From the reviews:
Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. & Each mathematical model is explained and illustrated individually with an appropriate biological example. (T. Postelnicu, Zentralblatt MATH, Vol. 1081, 2006)
This book is a well-rounded volume which covers a wide range of basic mathematical models in life sciences, making it quite a suitable choice as a textbook for a first course in mathematical modeling with lifelı