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arXiv 1707.09409physics.med-phq-bio.TO
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神经胶质瘤生长的反应扩散模型

Reaction-Diffusion Models for Glioma Tumor Growth

Miguel Martín-Landrove

摘要:

肿瘤生长的数学建模是确定和预测真实几何形状中肿瘤的阶段、大小和进展的最有用和最便宜的方法之一。此外,这些模型已被用于深入了解癌症的生长和侵袭,并用于分析肿瘤的大小和几何形状,以应用于癌症治疗和手术规划。本修订版试图提出一个一般的观点,使用模型的基础上反应扩散方程,不仅用于描述肿瘤生长的胶质瘤,解决过程,如肿瘤异质性,缺氧,休眠和坏死,但它的潜在用途作为一种工具,在设计优化和患者特异性治疗。

英文摘要:

Mathematical modelling of tumor growth is one of the most useful and inexpensive approaches to determine and predict the stage, size and progression of tumors in realistic geometries. Moreover, these models has been used to get an insight into cancer growth and invasion and in the analysis of tumor size and geometry for applications in cancer treatment and surgical planning. The present revision attempts to present a general perspective of the use of models based on reaction-diffusion equations not only for the description of tumor growth in gliomas, addressing for processes such as tumor heterogeneity, hypoxia, dormancy and necrosis, but also its potential use as a tool in designing optimized and patient specific therapies.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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