Abstract
Spatial expansion of a population of cells can arise from growth of microorganisms, plant cells, and mammalian cells. It underlies normal or dysfunctional tissue development, and it can be exploited as the foundation for programming spatial patterns. This expansion is often driven by continuous growth and division of cells within a colony, which in turn pushes the peripheral cells outward. This process generates a repulsion velocity field at each location within the colony. Here we show that this process can be approximated as coarse-grained repulsive-expansion kinetics. This framework enables accurate and efficient simulation of growth and gene expression dynamics in radially symmetric colonies with homogenous z-directional distribution. It is robust even if cells are not spherical and vary in size. The simplicity of the resulting mathematical framework also greatly facilitates generation of mechanistic insights.
Highlights
Spatial expansion of a population of cells is ubiquitous in biology
It can arise from growth of bacterial or yeast colonies [1,2], development of plant tissues [3], animal tissues [4], or growth
Repulsive expansion dynamics in colony growth and patterning authored in part by UT-Battelle LLC under Contract No DE-AC05-00OR22725 with the US Department of Energy (DOE)
Summary
Spatial expansion of a population of cells is ubiquitous in biology. It can arise from growth of bacterial or yeast colonies [1,2], development of plant tissues [3], animal tissues [4], or growth. Funders played no role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript
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