Evolution Equations Arising in the Modelling of Life Sciences

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...

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Detalhes bibliográficos
Autor principal: Efendiev, Messoud, 1953-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Basel : Springer Basel 2013.
Cham : Springer Nature
Colecção:International Series of Numerical Mathematics 163
Acesso em linha:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Evolution Equations Arising in the Modelling of Life Sciences, Texte imprimé, 9783034806145
• Evolution Equations Arising in the Modelling of Life Sciences, Texte imprimé, 9783034806169
• Evolution Equations Arising in the Modelling of Life Sciences, Texte imprimé, 9783034807807
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245 1 0 |a Evolution Equations Arising in the Modelling of Life Sciences   |c by Messoud Efendiev. 
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260 |a Cham :  |b Springer Nature,  |c 2013. 
490 0 |a International Series of Numerical Mathematics  |v 163  |x 2296-6072 
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505 0 |a 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. 
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506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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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