两种群模型中癌细胞生长和侵袭的聚集和行波动力学。

IF 0.8 4区 数学 Q4 BIOLOGY
Vasiliki Bitsouni, Dumitru Trucu, Mark A J Chaplain, Raluca Eftimie
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引用次数: 17

摘要

细胞通过细胞表面的蛋白质分子相互粘附,并粘附到细胞外基质(ECM)上。癌细胞的突变可以影响粘附键的断裂和形成,这是癌症侵袭和转移的关键过程。在本文中,我们建立了一个非局部数学模型,描述了两种不同突变水平的癌细胞群体由于整合素控制的细胞-细胞粘附和细胞-基质粘附而导致的癌细胞侵袭和运动。细胞动力学的偏微分方程与描述ECM降解和整合素的产生和衰变的常微分方程相耦合。我们使用该模型来研究癌症突变对交替显性竞争甚至竞争排斥的可能性的作用(实验观察到的现象)。我们讨论了不同可能的细胞聚集模式,以及行波模式。在行波方面,我们研究了肿瘤突变率对肿瘤侵袭速度的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion.

Cells adhere to each other and to the extracellular matrix (ECM) through protein molecules on the surface of the cells. The breaking and forming of adhesive bonds, a process critical in cancer invasion and metastasis, can be influenced by the mutation of cancer cells. In this paper, we develop a nonlocal mathematical model describing cancer cell invasion and movement as a result of integrin-controlled cell-cell adhesion and cell-matrix adhesion, for two cancer cell populations with different levels of mutation. The partial differential equations for cell dynamics are coupled with ordinary differential equations describing the ECM degradation and the production and decay of integrins. We use this model to investigate the role of cancer mutation on the possibility of cancer clonal competition with alternating dominance, or even competitive exclusion (phenomena observed experimentally). We discuss different possible cell aggregation patterns, as well as travelling wave patterns. In regard to the travelling waves, we investigate the effect of cancer mutation rate on the speed of cancer invasion.

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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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