A cell is polarised when it has developed a main axis of organisation through
the reorganisation of its cytosqueleton and its intracellular organelles.
Polarisation can occur spontaneously or be triggered by external signals, like
gradients of signaling molecules ... In this work, we study mathematical models
for cell polarisation. These models are based on nonlinear convection-diffusion
equations. The nonlinearity in the transport term expresses the positive loop
between the level of protein concentration localised in a small area of the
cell membrane and the number of new proteins that will be convected to the same
area. We perform numerical simulations and we illustrate that these models are
rich enough to describe the apparition of a polarisome.Comment: 15 page
