Methods and models in mathematical biology : deterministic and stochastic approaches
Biology sähkökirjat
Springer
2015
EISBN 9783642272516
1.Compartmental Modelling.
2.Mathematical Ecology.
3.Structured Models in Ecology.
4.Epidemiology.
5.Reaction Kinetics.
6.Neuronal Activity.
7.Evolution.
Index.
This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universit©Þt M©ơnchen. 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℗ℓ branching processes. A special emphasis is placed on the interplay between stochastic and deterministic models.
2.Mathematical Ecology.
3.Structured Models in Ecology.
4.Epidemiology.
5.Reaction Kinetics.
6.Neuronal Activity.
7.Evolution.
Index.
This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universit©Þt M©ơnchen. 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℗ℓ branching processes. A special emphasis is placed on the interplay between stochastic and deterministic models.
