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arXiv 1807.03261cond-mat.softcond-mat.stat-mechnlin.PS
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基于动态密度泛函理论的组织动力学建模:在肿瘤生长中的应用

Dynamical density functional theory based modelling of tissue dynamics: application to tumour growth

Hayder M. Al-Saedi, Andrew J. Archer, John Ward

摘要:

我们提出了一个理论框架的基础上扩展的动态密度泛函理论(DDFT)描述的结构和动态的细胞在活组织和肿瘤。DDFT是研究相互作用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药理学一致描述,包括描述组织结构下降到单个细胞的水平。模型的分析提出了一个单一的物种和两个物种的情况下,后者的目的是描述肿瘤和健康细胞之间的竞争。在适当的参数制度,模型结果与生物学观察是一致的。特别值得注意的是,不同的肿瘤生长行为,反映了转移性和良性的生长特征,被证明是依赖于细胞对相互作用参数。

英文摘要:

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 tumours. 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), in order 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 a single species and a two-species cases, the latter aimed at describing competition between tumour and healthy cells. In suitable parameter regimes, model results are consistent with biological observations. Of particular note, divergent tumour growth behaviour, mirroring metastatic and benign growth characteristics, are shown to be dependent on the cell pair-interaction parameters.

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