# Numerical study of the stopping of aura during migraine

C. Pocci; A. Moussa; F. Hubert; G. Chapuisat

ESAIM: Proceedings (2010)

- Volume: 30, page 44-52
- ISSN: 1270-900X

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topPocci, 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 -

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