Pattern formation of skin cancers: Effects of cancer proliferation and hydrodynamic interactions
Pattern formation of skin cancers: Effects of cancer proliferation and hydrodynamic interactions
复制标题
皮肤癌的模式形成：癌症增殖和流体动力学相互作用的影响
DOI：
10.1103/physreve.99.032416
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发表时间：
2019
影响因子：
2.4
通讯作者：
Shigeyuki Komura
中科院分区：
文献类型：
--
作者：
Takuma Hoshino;Ming-Wei Liu;Kuo-An Wu;Hsuan-Yi Chen;Tatsuaki Tsuruyama,;Shigeyuki Komura
We study pattern formation of skin cancers by means of numerical simulation of a binary system consisting of cancer and healthy cells. We extend the conventional model H for macrophase separations by considering a logistic growth of cancer cells and also a mechanical friction between dermis and epidermis. Importantly, our model exhibits a microphase separation due to the proliferation of cancer cells. By numerically solving the time evolution equations of the cancer composition and its velocity, we show that the phase separation kinetics strongly depends on the cell proliferation rate as well as on the strength of hydrodynamic interactions. A steady-state diagram of cancer patterns is established in terms of these two dynamical parameters and some of the patterns correspond to clinically observed cancer patterns. Furthermore, we examine in detail the time evolution of the average composition of cancer cells and the characteristic length of the microstructures. Our results demonstrate that different sequence of cancer patterns can be obtained by changing the proliferation rate and/or hydrodynamic interactions.
