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2013932776 abstract "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.".
2013932776 contributor B12830573.
2013932776 created "c2013".
2013932776 date "2013".
2013932776 date "c2013".
2013932776 dateCopyrighted "c2013".
2013932776 description "Auxiliary Materials -- Global Attractors for Autonomous Evolution Equations -- Verifying Life Science Models Containing Diffusion, Transport and Interaction of Species -- Positivity Criterion for Systems of Stochastic PDEs -- Existence and Longtime Behaviour of a Biofilm Model -- The Blood Coagulation Cascade in a Perfusion Experiment: Example from the Pharmaceutical Industry.".
2013932776 description "Includes bibliographical references (p. 209-214) and index.".
2013932776 description "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.".
2013932776 extent "xii, 217 p. :".
2013932776 identifier "3034806140".
2013932776 identifier "9783034806145".
2013932776 identifier 2013932776-b.html.
2013932776 identifier 2013932776-d.html.
2013932776 identifier 2013932776-t.html.
2013932776 isPartOf "International series of numerical mathematics ; v. 163".
2013932776 isPartOf "International series of numerical mathematics ; v. 163.".
2013932776 issued "2013".
2013932776 issued "c2013".
2013932776 language "eng".
2013932776 publisher "Basel [Switzerland] ; New York : Birkhäuser,".
2013932776 subject "570.285 23".
2013932776 subject "Biological models.".
2013932776 subject "Differential equations, Partial.".
2013932776 subject "Ecology.".
2013932776 subject "Mathematics.".
2013932776 subject "Physiology Mathematics.".
2013932776 subject "QH324.8 .E34 2013".
2013932776 tableOfContents "Auxiliary Materials -- Global Attractors for Autonomous Evolution Equations -- Verifying Life Science Models Containing Diffusion, Transport and Interaction of Species -- Positivity Criterion for Systems of Stochastic PDEs -- Existence and Longtime Behaviour of a Biofilm Model -- The Blood Coagulation Cascade in a Perfusion Experiment: Example from the Pharmaceutical Industry.".
2013932776 title "Evolution equations arising in the modelling of life sciences / Messoud Efendiev.".
2013932776 type "text".