A nonlinear system to model communication between yeast cells during their mating process

A nonlinear system to model communication between yeast cells during their mating process

In this work, we develop a model to describe some aspects of communication between yeast cells. It consists in a coupled system of two one-dimensional non-linear advection-diffusion equations in which the advective field is given by the Hilbert transform. We give some sufficient condition for the bl...

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Veröffentlicht in:Nonlinearity 2024-04, Vol.37 (4), p.45013
Hauptverfasser: Calvez, Vincent, Lepoutre, Thomas, Meunier, Nicolas, Muller, Nicolas
Format: Artikel
Sprache:eng
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35A01
35Q92
47J260
92C37
blow-up in pde
cell cell communication
Life Sciences
Mathematics
nonlinear coupled pdes
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container_title Nonlinearity
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creator Calvez, Vincent
Lepoutre, Thomas
Meunier, Nicolas
Muller, Nicolas
description In this work, we develop a model to describe some aspects of communication between yeast cells. It consists in a coupled system of two one-dimensional non-linear advection-diffusion equations in which the advective field is given by the Hilbert transform. We give some sufficient condition for the blow-up in finite time of the coupled system (formation of a singularity). We provide a biological interpretation of these mathematical results.
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subjects 35A01
35Q92
47J260
92C37
blow-up in pde
cell cell communication
Life Sciences
Mathematics
nonlinear coupled pdes
title A nonlinear system to model communication between yeast cells during their mating process
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