Neurons: a numerical approach.
Nonlinear filtering of oscillatory measurements in cardiovascular applications.
Numerical simulations of effects of multiple neurotransmission on intestinal propulsion of a non-deformable bolus.
Numerical study of the stopping of aura during migraine
This work is devoted to the study of migraine with aura in the human brain. Following [6], we class migraine as a propagation of a wave of depolarization through the cells. The mathematical model used, based on a reaction-diffusion equation, is briefly presented. The equation is considered in a duct containing a bend, in order to model one of the numerous circumvolutions of the brain. For a wide set of parameters, one can establish the existence...