Evolution Equations Arising in the Modelling of Life Sciences

• Main Author: Efendiev, Messoud (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Series: International Series of Numerical Mathematics ; 163
• Subjects: Mathematics.; Systems biology.; Ecology.; Partial differential equations.; Biomathematics.; Mathematical and Computational Biology.; Physiological, Cellular and Medical Topics.; Partial Differential Equations.; Theoretical Ecology/Statistics.; Systems Biology.

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engine...

Table of Contents:

• Preface
• 1 Auxiliary Materials
• 2 Global attractors for autonomous evolution equations
• 3 Verifying life science models containing diffusion, transport and interaction of species
• 4 Positivity criterion for systems of stochastic PDEs
• Existence and longtime behaviour of a biofilm model
• 6 The blood coagulation cascade in a perfusion experiment: example from pharmaceutical industry
• Index.