2020
DOI: 10.48550/arxiv.2007.08765
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Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Sensing with Small Signaling Compartments

Sarafa A. Iyaniwura,
Michael J. Ward

Abstract: We analyze a class of cell-bulk coupled PDE-ODE models, motivated by quorum and diffusion sensing phenomena in microbial systems, that characterize communication between localized spatially segregated dynamically active signaling compartments or "cells" that have a permeable boundary. In this model, the cells are disks of a common radius ε 1 and they are spatially coupled through a passive extracellular bulk diffusion field with diffusivity D in a bounded 2-D domain. Each cell secretes a signaling chemical int… Show more

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