| 书目名称 | Evolution Equations Arising in the Modelling of Life Sciences |
| 编辑 | Messoud Efendiev |
| 视频video | |
| 概述 | Deals with a new class of nonlinear reaction-diffusion convective equations simultaneously comprising two kinds of degeneracy.Derives and analyses realistic life science models based on experimental d |
| 丛书名称 | International Series of Numerical Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2013 |
| 关键词 | biofilm model; blood coagulation cascade in a perfusion experiment; diffusion, transport and interacti |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0615-2 |
| isbn_softcover | 978-3-0348-0780-7 |
| isbn_ebook | 978-3-0348-0615-2Series ISSN 0373-3149 Series E-ISSN 2296-6072 |
| issn_series | 0373-3149 |
| copyright | Springer Basel 2013 |
发表于 2025-3-21 19:04:35
