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Mathematical Modeling for the Life SciencesSeries: Universitext

Istas, Jacques

Based on the French edition "Introduction aux Modélisations Mathématiques pour les Sciences Vivant", Mathématiques et Applications, Vol. 34, Springer-Verlag 2000
2005, VI, 164 p. 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.

Content Level » Graduate
Keywords » Dynamical systems - MSC (2000): 92B05 - ecology - mathematical biology - statistical methods - stochastic processes
Related subjects » Applications - Mathematics
Table of contents General Introduction.- Continuous-time Dynamical Systems.- Discrete-time Dynamical Systems.- Game Theory and Evolution.- Markov Chains and Diffusions.- Random Arborescent Models.- Statistics.- Appendices.