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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Efendiev, Messoud (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Σειρά:International Series of Numerical Mathematics ; 163
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03303nam a22005295i 4500
001 978-3-0348-0615-2
003 DE-He213
005 20151103124540.0
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 
040 |d GrThAP 
050 4 |a QH323.5 
050 4 |a QH324.2-324.25 
072 7 |a PDE  |2 bicssc 
072 7 |a MAT003000  |2 bisacsh 
082 0 4 |a 570.285  |2 23 
100 1 |a Efendiev, Messoud.  |e author. 
245 1 0 |a Evolution Equations Arising in the Modelling of Life Sciences  |h [electronic resource] /  |c by Messoud Efendiev. 
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 ;  |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 Mathematics. 
650 0 |a Systems biology. 
650 0 |a Ecology. 
650 0 |a Partial differential equations. 
650 0 |a Biomathematics. 
650 1 4 |a Mathematics. 
650 2 4 |a Mathematical and Computational Biology. 
650 2 4 |a Physiological, Cellular and Medical Topics. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Theoretical Ecology/Statistics. 
650 2 4 |a Systems Biology. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783034806145 
830 0 |a International Series of Numerical Mathematics ;  |v 163 
856 4 0 |u http://dx.doi.org/10.1007/978-3-0348-0615-2  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)