منابع مشابه
Cell polarisation model : the 1D case
We study the dynamics of a one-dimensional non-linear and nonlocal drift-diffusion equation set in the half-line, with the coupling involving the trace value on the boundary. The initial mass M of the density determines the behaviour of the equation: attraction to self similar profile, to a steady state of finite time blow up for supercritical mass. Using the logarithmic Sobolev and the HWI ine...
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When it is polarised, a cell develops an asymmetric distribution of specific molecular markers, cytoskeleton and cell membrane shape. Polarisation can occur spontaneously or be triggered by external signals, like gradients of signalling molecules... In this work, we use the models of cell polarisation introduced in [9] and [4] and we set a numerical analysis for these models. They are based on ...
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Analysis of a non local model for spontaneous cell polarisation
In this work, we investigate the dynamics of a non-local model describing spontaneous cell polarisation. It consists in a drift-diffusion equation set in the half-space, with the coupling involving the trace value on the boundary. We characterize the following behaviours in the one-dimensional case: solutions are global if the mass is below the critical mass and they blow-up in finite time abov...
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Directed secretion by immune cells requires formation of the immunological synapse at the site of cell-cell contact, concomitant with a dramatic induction of cell polarity. Recent findings provide us with insights into the various steps that are required for these processes: for example, the first identification of a protein at the centrosome that regulates its relocation to the plasma membrane...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2014
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2013.05.006