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arXiv 1810.00546q-bio.CBcond-mat.softphysics.bio-ph
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通过接触抑制控制细胞集落生长

Control of cell colony growth by contact inhibition

Simon K. Schnyder, John J. Molina, Ryoichi Yamamoto

摘要:

我们研究动态的一个集落的爬行,增殖细胞与最小的,机械的细胞模型。细胞由两个圆盘组成,模拟细胞体和伪足,由有限的可延伸弹簧连接。由于运动力与细胞伸展的线性耦合,细胞表现出运动。通过一个简单的接触抑制增殖的机制,我们发现了典型的菌落生长机制,即在短时间内的指数增长在长时间内变成亚指数增长。在后一种状态下,菌落边界以恒定的速度向外移动。我们确定简单的缩放关系,这两个制度和它们之间的交叉。我们发现,细胞的形状(两个圆盘半径之间的比率)决定了细胞远离菌落的效率。细胞在远离集落的方向上排列得越好,集落扩张得就越快。

英文摘要:

We investigate the dynamics of a colony of crawling, proliferating cells with a minimal, mechanical cell model. The cells consist of two disks, modelling the cell body and a pseudopod, connected by a finite extensible spring. The cells exhibit locomotion due to a linear coupling of the motility force to the cell extension. With a simple mechanism for contact inhibition of proliferation, we find the typical regimes of colony growth, with exponential growth at short times turning into sub-exponential growth at long times. In the latter regime the colony boundary moves outwards with a constant speed. We identify simple scaling relations for both regimes and the crossover between them. We find that the shape of the cells (the ratio between the two disk's radii) determines the efficiency with which cells orient themselves away from the colony. The better the cells are at aligning themselves away from the colony, the faster the colony expands.

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