Mathematical Models in Biology : Deterministic and Stochastic Approaches (Lecture Notes on Mathematical Modelling in the Life Sciences) （2013. 480 p.）

Mueller, Johannes/ Kuttler, Christina

SPRINGER, BERLIN（2013/02発売）

• 製本 Hardcover:ハードカバー版
• 商品コード 9783642272509

Full Description

This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München. The main themes are modeling principles, mathematical principles for the analysis of these models and model-based analysis of data. The key topics of modern biomathematics are covered: ecology, epidemiology, biochemistry, regulatory networks, neuronal networks and population genetics. A variety of mathematical methods are introduced, ranging from ordinary and partial differential equations to stochastic graph theory and  branching processes. A special emphasis is placed on the interplay between stochastic and deterministic models.

Contents

1.Compartmental Modelling.- 2.Mathematical Ecology.- 3.Structured Models in Ecology.- 4.Epidemiology.- 5.Reaction Kinetics.- 6.Neuronal Activity.- 7.Evolution.- Index.