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Methods and Models in Mathematical Biology: Deterministic and Stochastic Approaches
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Methods and Models in Mathematical Biology: Deterministic and Stochastic Approaches (Paperback)

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This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universitat Munchen. 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.

Science & MathematicsBiology, life sciencesLife sciences: general issuesScience & MathematicsMathematicsApplied mathematicsMathematical modelling Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 30/06/2013 ISBN-13: 9783642272509  Details: Type: Paperback Format: Books
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Johannes Muller's research interest lies in the interface of mathematics and life sciences. In particular his research is concerned with the theory and biological applications of dynamical systems and branching processes. He studied in Karlsruhe and Tubingen, where he completed his habilitation in 2001. After stays in Utrecht and Cologne, he became head of a research group at the Institute for Biomathematics and Biometry at the Helmholtz Center, Munich. He has been appointed as a professor at the Technische Universitat Munchen (2004), where he is responsible for the masters program "Mathematics in Biosciences". Christina Kuttler is a professor at the Technical University Munich, her work focusing on "Mathematics in Life Sciences". She previously worked at the University of Tubingen and at the Helmholtz Center Munich, Institute for Biomathematics and Biometry, as part of the interdisciplinary project on molecular interactions in the rhizosphere. Her main expertise is in the field of biomathematics, particularly the mathematical modelling of biological processes using ordinary and partial differential equations. A main project deals with the modelling of bacterial communications, in which intracellular regulation mechanisms and diffusion processes are considered. Her primary goal is a better understanding of the underlying mechanisms and provide a quantitative description.

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