Evolution Equations Arising in the Modelling of Life Science
نام عام مواد
[Book]
ساير اطلاعات عنواني
:[delta
نام نخستين پديدآور
/ by Messoud Efendiev
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Basel
نام ناشر، پخش کننده و غيره
: Springer Basel :Imprint: Birkh?nuser,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
XII, 217 p. 30 illus., 15 illus. in color., online resource.
فروست
عنوان فروست
(International Series of Numerical Mathematics
مشخصه جلد
; 163)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
متن يادداشت
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.?╗╣
فروست (داده ارتباطی)
عنوان
International Series of Numerical Mathematics
شماره جلد
163
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Biological models
موضوع مستند نشده
Ecology
موضوع مستند نشده
Differential equations, partial
موضوع مستند نشده
Physiology, Mathematics
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )