Moran model of spatial alignment in microbial colonies
Moran model of spatial alignment in microbial colonies
复制标题
DOI：
10.1016/j.physd.2019.02.001
复制
发表时间：
2019-08-01
影响因子：
4
通讯作者：
Josic, K.
中科院分区：
文献类型：
--
作者：
Karamched, B. R.;Ott, W.;Josic, K.
我们描述了一个空间Moran模型，该模型捕捉了空间扩展的种群中的机械相互作用和定向增长。该模型在平均场近似下具有分析易解性和完全可解性，并且可以解释驱动种群水平模式形成的机制。作为一个例子，我们模拟了一个在矩形微流控捕捉器中生长的大肠杆菌种群。我们表明，由于细胞-细胞相互作用，边界效应和生长速率调制之间的拉锯战可以产生空间模式：当边界效应占主导地位时，细胞平行于陷阱的长边排列。然而，当细胞与细胞的相互作用超过临界值时，细胞与陷阱的长边垂直对齐。这种建模方法和分析可以扩展到各种领域中定向生长的细胞，以深入了解局部和全球相互作用如何塑造集体行为。(C)2019爱思唯尔B.V.保留所有权利。
We describe a spatial Moran model that captures mechanical interactions and directional growth in spatially extended populations. The model is analytically tractable and completely solvable under a mean-field approximation and can elucidate the mechanisms that drive the formation of population-level patterns. As an example we model a population of E. coli growing in a rectangular microfluidic trap. We show that spatial patterns can arise as a result of a tug-of-war between boundary effects and growth rate modulations due to cell-cell interactions: Cells align parallel to the long side of the trap when boundary effects dominate. However, when cell-cell interactions exceed a critical value, cells align orthogonally to the trap's long side. This modeling approach and analysis can be extended to directionally-growing cells in a variety of domains to provide insight into how local and global interactions shape collective behavior. (C) 2019 Elsevier B.V. All rights reserved.