A multi-scale analysis of drug transport and response for a multi-phase tumour model
A multi-scale analysis of drug transport and response for a multi-phase tumour model
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DOI：
10.1017/s0956792516000413
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发表时间：
2017-06-01
影响因子：
1.9
通讯作者：
O'Dea, R. D.
中科院分区：
文献类型：
--
作者：
Collis, J.;Hubbard, M. E.;O'Dea, R. D.
在这篇文章中，我们考虑了无血管肿瘤生长和化疗反应的多相模型的空间均质化。这项工作的主要贡献是推导出一个系统的均质偏微分方程描述宏观肿瘤生长，再加上运输的药物和营养物质，明确纳入细节的结构和动力学的肿瘤在微观尺度。为了推导出这些方程，我们采用了渐近均匀化的假设下，强相间阻力，周期性的微观结构，和强大的分离尺度的微观描述。由此产生的宏观模型包括一个达西流耦合到一个系统的反应-平流偏微分方程。耦合的生长，响应和运输动力学的组织尺度上的微观结构信息和组织几何形状，在其中我们观察到药物和营养调节的生长和响应符合预期的宏观系统的动力学通过简单的学术测试案例的数值实验进行了研究。
In this article, we consider the spatial homogenisation of a multi-phase model for avascular tumour growth and response to chemotherapeutic treatment. The key contribution of this work is the derivation of a system of homogenised partial differential equations describing macroscopic tumour growth, coupled to transport of drug and nutrient, that explicitly incorporates details of the structure and dynamics of the tumour at the microscale. In order to derive these equations, we employ an asymptotic homogenisation of a microscopic description under the assumption of strong interphase drag, periodic microstructure, and strong separation of scales. The resulting macroscale model comprises a Darcy flow coupled to a system of reaction-advection partial differential equations. The coupled growth, response, and transport dynamics on the tissue scale are investigated via numerical experiments for simple academic test cases of microstructural information and tissue geometry, in which we observe drug-and nutrient-regulated growth and response consistent with the anticipated dynamics of the macroscale system.