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πŸ“

Methods and Models in Mathematical Biology: Deterministic and Stochastic Approaches

✍ Scribed by Johannes Müller, Christina Kuttler (auth.)

Publisher
Springer-Verlag Berlin Heidelberg
Year
2015
Tongue
English
Leaves
721
Series
Lecture Notes on Mathematical Modelling in the Life Sciences
Edition
1
Category
Library
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✦ Synopsis

This book developed from classes in mathematical biology taught by the authors over several years at the Technische UniversitΓ€t MΓΌnchen. 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.

✦ Table of Contents

Front Matter....Pages i-xiii
Compartmental Modelling....Pages 1-156
Mathematical Ecology....Pages 157-295
Structured Models in Ecology....Pages 297-414
Epidemiology....Pages 415-481
Reaction Kinetics....Pages 483-632
Neuronal Activity....Pages 633-671
Evolution....Pages 673-696
Back Matter....Pages 697-711

✦ Subjects

Applications of Mathematics; Life Sciences, general

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