Modelling and mathematical problems related to tumor evolution and its interaction with the immune system

Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
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DOI:
10.1016/s0895-7177(00)00143-6
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发表时间:
2000-08-01
影响因子:
--
通讯作者:
Preziosi, L
Preziosi, L
中科院分区:
其他
文献类型:
--
作者:
Bellomo, N;Preziosi, L

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本文综述了与免疫系统竞争的肿瘤动力学分析和仿真的数学模型和方法。的特征尺度的现象被确定和数学文献的模型和问题上开发的每一个规模进行审查和批判性分析。其目的是提供一个总体框架的发展免疫数学理论和发展研究的前景,在这个充满希望的新领域的应用数学。(C)2000爱思唯尔科技有限公司版权所有。
This paper provides a survey of mathematical models and methods dealing with the analysis and simulation of tumor dynamics in competition with the immune system. The characteristic scales of the phenomena are identified and the mathematical literature on models and problems developed on each scale is reviewed and critically analysed. The aim is to provide a general framework towards the development of immune-mathematical theories and to develop research perspectives in this promising new field of applied mathematics. (C) 2000 Elsevier Science Ltd. All rights reserved.