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Updated: Oct 23, 2025

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Structure formation in a conserved mass model of a set of individuals interacting with attractive and repulsive
Sergio E Mangioni1, Matías G dell'Erba1, Bruno Combi1
1IFIMAR (Universidad Nacional de Mar del Plata and CONICET), Deán Funes 3350, B7602AYL Mar del Plata, Argentina.
Abstract:
We study a set of interacting individuals that conserve their total mass. In order to describe its dynamics we resort to mesoscopic equations of reaction diffusion including currents driven by attractive and repulsive forces. For the mass conservation we consider a linear response parameter that maintains the mass in the vicinity of a optimal value which is determined by the set. We use the reach and intensity of repulsive forces as control parameters. When sweeping a wide range of parameter space we find a great diversity of localized structures, stationary as well as other ones with cyclical and chaotic dynamics. We compare our results with real situations.
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