A model for acid-mediated tumour growth with nonlinear acid production term

A model for acid-mediated tumour growth with nonlinear acid production term
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DOI:
10.1016/j.amc.2013.11.018
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发表时间:
2014-01-15
影响因子:
4
通讯作者:
Herrero, Miguel A.
Herrero, Miguel A.
中科院分区:
数学2区
文献类型:
--
作者:
Holder, Andrew B.;Rodrigo, Marianito R.;Herrero, Miguel A.

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本文认为,肿瘤生长的数学模型的基础上,酸介导的假设,即假设肿瘤的进展是促进酸化的区域周围的肿瘤宿主界面。正常组织环境的破坏促进了肿瘤的生长。我们将推导和分析肿瘤进展的反应扩散模型,该模型包括病理和健康细胞代谢的不同方面,以检查肿瘤生长。我们的研究结果可以为侵入性过程的管理动态提供见解,这些动态可能建议可能的干预策略,从而设计新的更好的实验或治疗方法。(C)2013 Elsevier Inc. All rights reserved.
This article considers a mathematical model for tumour growth based on an acid-mediated hypothesis, i.e. the assumption that tumour progression is facilitated by acidification of the region around the tumour-host interface. The resulting destruction of the normal tissue environment promotes tumour growth. We will derive and analyse a reaction-diffusion model for tumour progression that includes different aspects of pathological and healthy cell metabolism to check tumour growth. Our results can provide insights into the governing dynamics of invasive processes that may suggest possible intervention strategies, leading to the design of new and better experiments or treatments. (C) 2013 Elsevier Inc. All rights reserved.