28 citations · 28 across the 1 of their papers we have counts for
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Cell polarisation model : the 1D case
Thomas Lepoutre, Nicolas Meunier, Nicolas Muller
We study the dynamics of a one-dimensional non-linear and non-local drift-di usion equation set in the half-line, with the coupling involving the trace value on the boundary. The i…
Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model
Stéphane Gaubert, Thomas Lepoutre
We consider a cell population described by an age-structured partial differential equation with time periodic coefficients. We assume that division only occurs after a minimal age…
Circadian rhythm and cell population growth
Jean Clairambault, Stephane Gaubert, Thomas Lepoutre
Molecular circadian clocks, that are found in all nucleated cells of mammals, are known to dictate rhythms of approximately 24 hours (circa diem) to many physiological processes. T…