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In this paper we propose a "discrete in continuous" mathematical model forthe morphogenesis of the posterior lateral line system in zebrafishes. Ourmodel follows closely the results obtained in recent biological experiments. Werely on a hybrid description: discrete for the cellular level and continuousfor the molecular level. We prove the existence of steady solutions consistentwith the formation of particular biological structure, the neuromasts.Dynamical numerical simulations are performed to show the behavior of the modeland its qualitative and quantitative accuracy to describe the evolution of thecell aggregate.

A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line