Numerical simulation of the selection process of the ovarian follicles
ESAIM. Proceedings, Tome 38 (2012), pp. 99-117
Cet article a éte moissonné depuis la source EDP Sciences
This paper presents the design and implementation of a numerical method to simulate a multiscale model describing the selection process in ovarian follicles. The PDE model consists in a quasi-linear hyperbolic system of large size, namely Nf × Nf, ruling the time evolution of the cell density functions of Nf follicles (in practice Nf is of the order of a few to twenty). These equations are weakly coupled through the sum of the first order moments of the density functions. The time-dependent equations make use of two structuring variables, age and maturity, which play the roles of space variables. The problem is naturally set over a compact domain of R2. The formulation of the time-dependent controlled transport coefficients accounts for available biological knowledge on follicular cell kinetics. We introduce a dedicated numerical scheme that is amenable to parallelization, by taking advantage of the weak coupling. Numerical illustrations assess th e relevance of the proposed method both in term of accuracy and HPC achievements.
Affiliations des auteurs :
Benjamin Aymard 1, 2 ; Frédérique Clément 2 ; Frédéric Coquel 3 ; Marie Postel 1
@article{EP_2012_38_a5,
author = {Benjamin Aymard and Fr\'ed\'erique Cl\'ement and Fr\'ed\'eric Coquel and Marie Postel},
title = {Numerical simulation of the selection process of the ovarian follicles},
journal = {ESAIM. Proceedings},
pages = {99--117},
year = {2012},
volume = {38},
doi = {10.1051/proc/201238006},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238006/}
}
TY - JOUR AU - Benjamin Aymard AU - Frédérique Clément AU - Frédéric Coquel AU - Marie Postel TI - Numerical simulation of the selection process of the ovarian follicles JO - ESAIM. Proceedings PY - 2012 SP - 99 EP - 117 VL - 38 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201238006/ DO - 10.1051/proc/201238006 LA - en ID - EP_2012_38_a5 ER -
%0 Journal Article %A Benjamin Aymard %A Frédérique Clément %A Frédéric Coquel %A Marie Postel %T Numerical simulation of the selection process of the ovarian follicles %J ESAIM. Proceedings %D 2012 %P 99-117 %V 38 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201238006/ %R 10.1051/proc/201238006 %G en %F EP_2012_38_a5
Benjamin Aymard; Frédérique Clément; Frédéric Coquel; Marie Postel. Numerical simulation of the selection process of the ovarian follicles. ESAIM. Proceedings, Tome 38 (2012), pp. 99-117. doi: 10.1051/proc/201238006
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