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Mechanical interactions between biological cells may be mediated by secretedproducts, making them dependent on the local particle density. Here, we explorethe generic physics of density-dependent attractive interactions. We show usingBrownian dynamics simulations that density-dependent interactions can produceinteresting phase separation behaviour including control of aggregate sizeduring a spinodal decomposition-like separation process. We show that theseresults are generic using continuum modelling of the appropriate Cahn-Hilliardequation. Our study suggests that density-dependent interactions can provide ageneric mechanism for control of aggregate size during phase separation.

Density Dependent Cohesion Leads to Controlled Phase Separation in Brownian Suspensions