Numerical study of the stopping of aura during migraine

Pocci, C., et al. Bresch, D., et al, eds. " Numerical study of the stopping of aura during migraine ." ESAIM: Proceedings 30 (2010): 44-52. <http://eudml.org/doc/251272>.

@article{Pocci2010,
abstract = {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 of a critical radius below which the wave stops. The approximation scheme used for the simulations is first described and then a numerical study is realized, precising the dependence of the critical radius with respect to the different parameters of the model.},
author = {Pocci, C., Moussa, A., Hubert, F., Chapuisat, G.},
editor = {Bresch, D., Calvez, V., Grenier, E., Vigneaux, P., Gerbeau, J-F.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {12},
pages = {44-52},
publisher = {EDP Sciences},
title = { Numerical study of the stopping of aura during migraine },
url = {http://eudml.org/doc/251272},
volume = {30},
year = {2010},
}

TY - JOUR
AU - Pocci, C.
AU - Moussa, A.
AU - Hubert, F.
AU - Chapuisat, G.
AU - Bresch, D.
AU - Calvez, V.
AU - Grenier, E.
AU - Vigneaux, P.
AU - Gerbeau, J-F.
TI - Numerical study of the stopping of aura during migraine
JO - ESAIM: Proceedings
DA - 2010/12//
PB - EDP Sciences
VL - 30
SP - 44
EP - 52
AB - 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 of a critical radius below which the wave stops. The approximation scheme used for the simulations is first described and then a numerical study is realized, precising the dependence of the critical radius with respect to the different parameters of the model.
LA - eng
UR - http://eudml.org/doc/251272
ER -