Dynamical density-functional-theory-based modeling of tissue dynamics: Application to tumor growth
Dynamical density-functional-theory-based modeling of tissue dynamics: Application to tumor growth
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DOI：
10.1103/physreve.98.022407
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发表时间：
2018-08-20
影响因子：
2.4
通讯作者：
Ward, John
中科院分区：
文献类型：
--
作者：
Al-Saedi, Hayder M.;Archer, Andrew J.;Ward, John
我们提出了一个基于动态密度泛函理论（DDFT）扩展的理论框架，用于描述活组织和肿瘤中细胞的结构和动力学。DDFT是研究相互作用的多粒子系统密度分布随时间演化的微观统计力学理论。该理论解释了细胞对相互作用、不同的细胞类型、表型和细胞出生和死亡过程（包括细胞分裂），以提供跨尺度桥接过程的生物物理一致描述，包括描述组织结构直至单个细胞的水平。该模型分析了单物种和双物种的情况下，后者旨在描述肿瘤和健康细胞之间的竞争。在适当的参数范围内，模型结果与生物学观察结果一致。特别值得注意的是，不同的肿瘤生长行为，反映转移性和良性生长特征，被证明依赖于细胞对相互作用参数。
We present a theoretical framework based on an extension of dynamical density-functional theory (DDFT) for describing the structure and dynamics of cells in living tissues and tumors. DDFT is a microscopic statistical mechanical theory for the time evolution of the density distribution of interacting many-particle systems. The theory accounts for cell-pair interactions, different cell types, phenotypes, and cell birth and death processes (including cell division), to provide a biophysically consistent description of processes bridging across the scales, including describing the tissue structure down to the level of the individual cells. Analysis of the model is presented for single-species and two-species cases, the latter aimed at describing competition between tumor and healthy cells. In suitable parameter regimes, model results are consistent with biological observations. Of particular note, divergent tumor growth behavior, mirroring metastatic and benign growth characteristics, are shown to be dependent on the cell-pair-interaction parameters.