| 書目名稱 | Mathematical Methods for Cancer Evolution |
| 編輯 | Takashi Suzuki |
| 視頻video | http://file.papertrans.cn/627/626228/626228.mp4 |
| 概述 | Provides appropriate models for each biological phenomenon against not necessarily complete measurements, by a systematic study of mathematical modeling.Presents a rigorous study of stochastic simulat |
| 叢書名稱 | Lecture Notes on Mathematical Modelling in the Life Sciences |
| 圖書封面 |  |
| 描述 | The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, involving continuously distributed environment variables and several components related to particles. Hybrid simulations are also carried out, using discretization of environment variables and the Monte Carlo method for the principal particle variables. Rigorous mathematical foundations are the bases of these tools..The monograph is composed of four chapters. The first three chapters are concerned with modeling, while the last one is devoted to mathematical analysis. The first chapter deals with molecular dynamics occurring at the early stage of cancer invasion. A pathway network model based on a biological scenario is constructed, and then its mathematical structures are determined. In the second chapter mathematical modeling is introduced, overviewing several biological insights, using partial differential equations. Transport and gradient are the main factors, and several models are int |
| 出版日期 | Book 2017 |
| 關鍵詞 | pathway modeling; Keller-Segel model; mean field theory; blowup of the solution; reaction-diffusion syst |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-10-3671-2 |
| isbn_softcover | 978-981-10-3670-5 |
| isbn_ebook | 978-981-10-3671-2Series ISSN 2193-4789 Series E-ISSN 2193-4797 |
| issn_series | 2193-4789 |
| copyright | Springer Nature Singapore Pte Ltd. 2017 |
|Archiver|手機版|小黑屋|
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