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arXiv · 2207.05191

Pulsed interaction signals as a route to biological pattern formation

Eduardo H. Colombo·Cristóbal López·Emilio Hernández-García
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Abstract

We identify a mechanism for biological spatial pattern formation arising when the signals that mediate interactions between individuals in a population have pulsed character. Our general population-signal framework shows that while for a slow signal-dynamics limit no pattern formation is observed for any values of the model parameters, for a fast limit, on the contrary, pattern formation can occur. Furthermore, at these limits, our framework reduces, respectively, to reaction-diffusion and spatially nonlocal models, thus bridging these approaches.

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Eduardo H. Colombo, Cristóbal López, Emilio Hernández-García. 2022-07-11. Pulsed interaction signals as a route to biological pattern formation. https://doi.org/10.1103/physrevlett.130.058401

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