Messoud Efendiev 
Evolution Equations Arising in the Modelling of Life Sciences [PDF ebook] 

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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 engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.

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Table of Content

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.​

About the author

Messoud Efendiev is professor of mathematics, especially dynamical system, at the Helmholtz Center Munich, Germany.

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Language English ● Format PDF ● Pages 217 ● ISBN 9783034806152 ● File size 9.8 MB ● Publisher Springer Basel ● City Basel ● Country CH ● Published 2013 ● Downloadable 24 months ● Currency EUR ● ID 2684734 ● Copy protection Social DRM

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