Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Efendiev, Messoud (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Colección:International Series of Numerical Mathematics, 163
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-0348-0615-2
003 DE-He213
005 20220113111652.0
007 cr nn 008mamaa
008 130321s2013 sz | s |||| 0|eng d
020 |a 9783034806152  |9 978-3-0348-0615-2 
024 7 |a 10.1007/978-3-0348-0615-2  |2 doi 
050 4 |a QH323.5 
050 4 |a QH324.2-324.25 
072 7 |a PBW  |2 bicssc 
072 7 |a PSA  |2 bicssc 
072 7 |a MAT003000  |2 bisacsh 
072 7 |a PSAX  |2 thema 
082 0 4 |a 570.285  |2 23 
100 1 |a Efendiev, Messoud.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Evolution Equations Arising in the Modelling of Life Sciences  |h [electronic resource] /  |c by Messoud Efendiev. 
250 |a 1st ed. 2013. 
264 1 |a Basel :  |b Springer Basel :  |b Imprint: Birkhäuser,  |c 2013. 
300 |a XII, 217 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a International Series of Numerical Mathematics,  |x 2296-6072 ;  |v 163 
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. 
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. 
650 0 |a Biomathematics. 
650 0 |a Differential equations. 
650 0 |a Ecology . 
650 0 |a Bioinformatics. 
650 1 4 |a Mathematical and Computational Biology. 
650 2 4 |a Differential Equations. 
650 2 4 |a Theoretical and Statistical Ecology. 
650 2 4 |a Computational and Systems Biology. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783034806169 
776 0 8 |i Printed edition:  |z 9783034807807 
776 0 8 |i Printed edition:  |z 9783034806145 
830 0 |a International Series of Numerical Mathematics,  |x 2296-6072 ;  |v 163 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-0348-0615-2  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)