| 书目名称 | Methods of Small Parameter in Mathematical Biology |
| 编辑 | Jacek Banasiak,Mirosław Lachowicz |
| 视频video | |
| 概述 | Unified approach to singular perturbed problems.Applications and examples to mathematical biology.Chapters are arranged according to the mathematical complexity.Includes supplementary material: |
| 丛书名称 | Modeling and Simulation in Science, Engineering and Technology |
| 图书封面 |  |
| 描述 | This monograph presents new tools for modeling multiscale biological processes. Natural processes are usually driven by mechanisms widely differing from each other in the time or space scale at which they operate and thus should be described by appropriate multiscale models. However, looking at all such scales simultaneously is often infeasible, costly, and provides information that is redundant for a particular application. Hence, there has been a growing interest in providing a more focused description of multiscale processes by aggregating variables in a way that is relevant to the purpose at hand and preserves the salient features of the dynamics. Many ad hoc methods have been devised, and the aim of this book is to present a systematic way of deriving the so-called limit equations for such aggregated variables and ensuring that the coefficients of these equations encapsulate the relevant information from the discarded levels of description. Since any approximation is only valid if an estimate of the incurred error is available, the tools the authors describe allow for proving that the solutions to the original multiscale family of equations converge to the solution of the limi |
| 出版日期 | Book 2014 |
| 关键词 | Singularly perturbed problems; Tikhonov theorem; asymptotic analysis; multiscale descriptions; populatio |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-05140-6 |
| isbn_softcover | 978-3-319-38183-1 |
| isbn_ebook | 978-3-319-05140-6Series ISSN 2164-3679 Series E-ISSN 2164-3725 |
| issn_series | 2164-3679 |
| copyright | Springer International Publishing Switzerland 2014 |
发表于 2025-3-21 16:13:10
