The impact of cell density and mutations in a model of multidrug resistance in solid tumors.
The impact of cell density and mutations in a model of multidrug resistance in solid tumors.
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DOI：
10.1007/s11538-014-9936-8
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发表时间：
2014-03
影响因子：
3.5
通讯作者：
Levy D
中科院分区：
文献类型：
--
作者：
Greene J;Lavi O;Gottesman MM;Levy D
在本文中，我们开发了一个数学框架来描述癌症的多药耐药性。为了反映癌细胞和治疗剂之间潜在相互作用的复杂性，我们假设抗性水平是连续参数。我们的模型被写为一个系统的积分微分方程，参数化的电阻水平。该模型结合了细胞密度和突变依赖性。模型的分析和模拟演示了动态如何演变为一个或多个性状的选择对应于不同水平的电阻。具有非零方差的新兴极限分布是理想的建模结果，因为它代表了肿瘤异质性。
In this paper we develop a mathematical framework for describing multidrug resistance in cancer. To reflect the complexity of the underlying interplay between cancer cells and the therapeutic agent, we assume that the resistance level is a continuous parameter. Our model is written as a system of integro-differential equations that are parametrized by the resistance level. This model incorporates the cell-density and mutation dependence. Analysis and simulations of the model demonstrate how the dynamics evolves to a selection of one or more traits corresponding to different levels of resistance. The emerging limit distribution with nonzero variance is the desirable modeling outcome as it represents tumor heterogeneity.