By: Jacques Istas
170 pages, 31 illus.
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.
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 life sciences emphasis in mind. ! The book is well written and organized. The balance between mathematical rigor and biological interest has been struck successfully, although this is not an easy task." (Yongwimon Lenbury, Mathematical Reviews, Issue 2006 e) "This is one of several biological mysteries explored in Mathematical Modeling for the Life Sciences. ! The author does a good job in balancing mathematical rigor and biological interest. ! This is a book best suited to advanced undergraduates or beginning graduate students. ! This would be a good choice for the main text or for supplemental reading in a course on mathematical applications to biology ! ." (William J. Satzer, MathDL, September, 2005)
General Introduction.- Continuous-time Dynamical Systems.- Discrete-time Dynamical Systems.- Game Theory and Evolution.- Markov Chains and Diffusions.- Random Arborescent Models.- Statistics.- Appendices.
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