Moran model of spatial alignment in microbial colonies

PHYSICA D-NONLINEAR PHENOMENA

卷:395

Article

Karamched, B. R.¹  Ott, W.¹  Timofeyev, I.¹  Alnahhas, R. N.²  Bennett, M. R.^2,3  Josic, K.^1,2,4 

[1] Univ Houston, Dept Math, Houston, TX 77004 USA

[2] Rice Univ, Dept Biosci, Houston, TX 77005 USA

[3] Rice Univ, Dept Bioengn, Houston, TX 77005 USA

[4] Univ Houston, Dept Biosci, Houston, TX 77004 USA

关键词: Moran model;    Cell alignment;    Phase transition;    Mean field;   

DOI  :  10.1016/j.physd.2019.02.001

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free