Evolution equations arising in the modelling of life sciences /
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| Author / Creator: | Efendiev, Messoud. |
|---|---|
| Imprint: | Basel ; New York : Birkhäuser, c2013. |
| Description: | 1 online resource. |
| Language: | English |
| Series: | International series of numerical mathematics ; v.163 International series of numerical mathematics ; v.163. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/9850326 |
MARC
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| 100 | 1 | |a Efendiev, Messoud. |0 http://id.loc.gov/authorities/names/n2003008293 |1 http://viaf.org/viaf/68299582 | |
| 245 | 1 | 0 | |a Evolution equations arising in the modelling of life sciences / |c Messoud Efendiev. |
| 260 | |a Basel ; |a New York : |b Birkhäuser, |c c2013. | ||
| 300 | |a 1 online resource. | ||
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| 490 | 1 | |a International series of numerical mathematics ; |v v.163 | |
| 505 | 0 | 0 | |t Auxiliary Materials -- |t Global Attractors for Autonomous Evolution Equations -- |t Verifying Life Science Models Containing Diffusion, Transport and Interaction of Species -- |t Positivity Criterion for Systems of Stochastic PDEs -- |t Existence and Longtime Behaviour of a Biofilm Model -- |t The Blood Coagulation Cascade in a Perfusion Experiment: Example from the Pharmaceutical Industry. |
| 504 | |a Includes bibliographical references and 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 Biological models. |0 http://id.loc.gov/authorities/subjects/sh85014180 | |
| 650 | 0 | |a Biomathematics. |0 http://id.loc.gov/authorities/subjects/sh85014235 | |
| 653 | 4 | |a Mathematics. | |
| 653 | 4 | |a Biological models. | |
| 653 | 4 | |a Ecology. | |
| 653 | 4 | |a Differential equations, partial. | |
| 653 | 4 | |a Physiology -- Mathematics. | |
| 653 | 4 | |a Mathematical and Computational Biology. | |
| 653 | 4 | |a Physiological, Cellular and Medical Topics. | |
| 653 | 4 | |a Partial Differential Equations. | |
| 653 | 4 | |a Theoretical Ecology/Statistics. | |
| 653 | 4 | |a Systems Biology. | |
| 655 | 4 | |a Electronic books. | |
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| 776 | 0 | 8 | |i Print version: |w (DLC) 2013932776 |
| 830 | 0 | |a International series of numerical mathematics ; |v v.163. | |
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