Evolution equations arising in the modelling of life sciences / Messoud Efendiev.
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...
Saved in:
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
Basel [Switzerland] ; New York :
Birkhäuser,
2013.
|
| Series: | International series of numerical mathematics ;
v. 163. |
| Subjects: | |
| Physical Description: | xii, 217 pages : illustrations (some color) ; 25 cm. |
| Format: | Book |
MARC
| LEADER | 00000cam a2200000Ia 4500 | ||
|---|---|---|---|
| 001 | in00005117613 | ||
| 003 | OCoLC | ||
| 005 | 20220616054745.0 | ||
| 008 | 121213s2013 sz a b 001 0 eng d | ||
| 010 | |a 2013932776 | ||
| 020 | |a 9783034806145 | ||
| 020 | |a 3034806140 | ||
| 035 | |a (CaEvSKY)sky255420171 | ||
| 035 | |a (OCoLC)821217455 | ||
| 040 | |a YDXCP |c YDXCP |d OCLCQ |d OHX |d UKMGB |d CLS |d OCLCO |d STF |d SUC |d UtOrBLW | ||
| 049 | |a EEMO | ||
| 050 | 4 | |a QH324.8 |b .E34 2013 | |
| 082 | 0 | 4 | |a 570.285 |2 23 |
| 100 | 1 | |a Efendiev, Messoud. |0 http://id.loc.gov/authorities/names/n2003008293 | |
| 245 | 1 | 0 | |a Evolution equations arising in the modelling of life sciences / |c Messoud Efendiev. |
| 260 | |a Basel [Switzerland] ; |a New York : |b Birkhäuser, |c 2013. | ||
| 300 | |a xii, 217 pages : |b illustrations (some color) ; |c 25 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a International series of numerical mathematics ; |v v. 163 | |
| 504 | |a Includes bibliographical references (pages 209-214) and index. | ||
| 505 | 0 | |a 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. | |
| 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. |0 http://id.loc.gov/authorities/subjects/sh85082139 | |
| 650 | 0 | |a Biological models. |0 http://id.loc.gov/authorities/subjects/sh85014180 | |
| 650 | 0 | |a Ecology. |0 http://id.loc.gov/authorities/subjects/sh85040752 | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
| 650 | 0 | |a Physiology |x Mathematics. |0 http://id.loc.gov/authorities/subjects/sh85101679 | |
| 830 | 0 | |a International series of numerical mathematics ; |v v. 163. |0 http://id.loc.gov/authorities/names/n42013597 | |
| 907 | |y .b99665852 |b 210805 |c 130528 | ||
| 998 | |a rs |b 130528 |c m |d a |e - |f eng |g sz |h 0 |i 2 | ||
| 999 | f | f | |i 9eeb70f6-d463-5c32-9268-9f1536ef66b4 |s 87707e6c-fcd2-5a20-8ad8-7d102f2d9d36 |t 0 |
| 952 | f | f | |p Can Circulate |a Michigan State University-Library of Michigan |b Michigan State University |c MSU Remote Storage |d MSU Remote Storage |t 0 |e QH324.8 .E34 2013 |h Library of Congress classification |i Printed Material |m 31293007460722 |n 1 |