Particle-based simulation of ellipse-shaped particle aggregation as a model for vascular network formation

TL;DR

This paper introduces a particle-based simulation method for vascular network formation, confirming previous cellular Potts model results and exploring how cell attraction influences order emergence in morphogenesis.

Contribution

It presents a novel lattice-free, particle-based simulation approach that reproduces and extends prior cellular Potts model findings in vasculogenesis.

Findings

Particle-based simulation confirms cellular Potts model results

High attraction force promotes order in cell aggregation

Longer attraction radius enhances vascular network formation

Abstract

Computational modelling is helpful for elucidating the cellular mechanisms driving biological morphogenesis. Previous simulation studies of blood vessel growth based on the Cellular Potts model (CPM) proposed that elongated, adhesive or mutually attractive endothelial cells suffice for the formation of blood vessel sprouts and vascular networks. Because each mathematical representation of a model introduces potential artifacts, it is important that model results are reproduced using alternative modelling paradigms. Here, we present a lattice-free, particle-based simulation of the cell elongation model of vasculogenesis. The new, particle-based simulations confirm the results obtained from the previous Cellular Potts simulations. Furthermore, our current findings suggest that the emergence of order is possible with the application of a high enough attractive force or, alternatively, a longer attraction radius. The methodology will be applicable to a range of problems in morphogenesis and noisy particle aggregation in which cell shape is a key determining factor.