Bibliography
Major publications by the team in recent years
-
1B. Aymard, F. Clément, F. Coquel, M. Postel.
Numerical simulation of the selection process of the ovarian follicles, in: ESAIM Proc., 2012, vol. 28, pp. 99-117. -
2B. Aymard, F. Clément, F. Coquel, M. Postel.
A numerical method for cell dynamics; kinetic equations with discontinuous coefficients, in: SIAM J. Sci. Comput., 2013, vol. 35, pp. A2442-A2468. -
3J. Burke, M. Desroches, A. Barry, T. Kaper, M. Kramer.
A showcase of torus canards in neuronal bursters, in: J. Math. Neurosci., 2012, vol. 2. -
4F. Clément, J.-M. Coron, P. Shang.
Optimal control of cell mass and maturity in a model of follicular ovulation, in: SIAM J. Control Optim., 2013, vol. 51, no 2, pp. 824-847. -
5F. Clément, P. Michel, D. Monniaux, T. Stiehl.
Coupled somatic cell kinetics and germ cell growth: multiscale model-based insight on ovarian follicular development, in: Multiscale Model. Simul., 2013, vol. 11, no 3, pp. 719-746. -
6F. Clément, D. Monniaux.
Multiscale modelling of follicular selection, in: Prog. Biophys. Mol. Biol., 2013, vol. 113, pp. 398-408. -
7M. Desroches, J. Guckenheimer, B. Krauskopf, C. Kuehn, H. Osinga, M. Wechselberger.
Mixed-mode oscillations with multiple time scales, in: SIAM Rev., 2012, vol. 54, pp. 211–288. -
8D. Heitzler, G. Durand, A. Rizk, S. Ahn, J. Kim, J. Violin, L. Dupuy, C. Gauthier, V. Piketty, P. Crépieux, A. Poupon, F. Clément, F. Fages, R. Lefkowitz, E. Reiter.
Competing G protein-coupled receptor kinases balance G protein and -arrestin signaling, in: Mol. Syst. Biol., 2012, vol. 8, no 590. -
9M. Krupa, A. Vidal, F. Clément.
A network model of the periodic synchronization process in the dynamics of calcium concentration in GnRH neurons, in: J. Math. Neurosci., 2013, vol. 3, 4 p. -
10P. Shang.
Cauchy problem for multiscale conservation laws: Application to structured cell populations, in: J. Math. Anal. Appl., 2013, vol. 401, no 2, pp. 896-920. -
11J. Touboul.
Limits and dynamics of stochastic neuronal networks with random delays, in: J. Stat. Phys., 2012, no 149, pp. 569–597. -
12J. Touboul.
Mean-Field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions, in: Phys. D, 2012, vol. 241, pp. 1223–1244. -
13A. Vidal, Q. Zhang, C. Médigue, S. Fabre, F. Clément.
DynPeak: An algorithm for pulse detection and frequency analysis in hormonal time series, in: PloS One, 2012, vol. 7, e39001.
Doctoral Dissertations and Habilitation Theses
-
14B. Aymard.
Numerical study of multiscale non conservative transport equations modeling cell kinetics, Université Pierre et Marie Curie - Paris VI, October 2014.
https://tel.archives-ouvertes.fr/tel-01087504
Articles in International Peer-Reviewed Journals
-
15R. Allez, J. Touboul, G. Wainrib.
Index Distribution of the Ginibre Ensemble, in: Journal of Physics A: Mathematical and Theoretical, 2014, vol. 47, no 4, 5 pages, 2 figures. [ DOI : 10.1088/1751-8113/47/4/042001 ]
https://hal.inria.fr/hal-00942203 -
16B. Aymard, F. Clément, M. Postel.
Adaptive mesh refinement strategy for a nonconservative transport problem, in: ESAIM: Mathematical Modelling and Numerical Analysis, August 2014, pp. 1381 - 1412. [ DOI : 10.1051/m2an/2014014 ]
https://hal.archives-ouvertes.fr/hal-00865429 -
17M. Brøns, M. Desroches, M. Krupa.
Mixed-mode oscillations due to a singular Hopf bifurcation in a forest pest model, in: Mathematical Population Studies, 2014, pp. 1-22.
https://hal.inria.fr/hal-00924098 -
18I. M. De la Fuente, J. M. Cortés, E. Valero, M. Desroches, S. Rodrigues, I. Malaina, L. Martínez.
On the Dynamics of the Adenylate Energy System: Homeorhesis vs Homeostasis, in: PLoS ONE, October 2014, vol. 9, no 10, e108676. [ DOI : 10.1371/journal.pone.0108676 ]
https://hal.inria.fr/hal-01091238 -
19G. Faye, J. Touboul.
Pulsatile localized dynamics in delayed neural-field equations in arbitrary dimension, in: SIAM Journal on Applied Mathematics, 2014, 33 p.
https://hal.inria.fr/hal-01095239 -
20P. A. Fletcher, F. Clément, A. Vidal, J. Tabak, R. Bertram.
Interpreting frequency responses to dose-conserved pulsatile input signals in simple cell signaling motifs, in: PLoS ONE, 2014, vol. 9, no 4, e95613. [ DOI : 10.1371/journal.pone.0095613 ]
https://hal.inria.fr/hal-00981377 -
21A. Granados, M. Krupa, F. Clément.
Border collision bifurcations of stroboscopic maps in periodically driven spiking models, in: SIAM Journal on Applied Dynamical Systems, October 2014, vol. 13, no 4, 30 p. [ DOI : 10.1137/13094637X ]
https://hal.inria.fr/hal-01092688 -
22D. Monniaux, F. Clément, R. Dalbiès-Tran, A. Estienne, S. Fabre, C. Mansanet, P. Monget.
The Ovarian Reserve of Primordial Follicles and the Dynamic Reserve of Antral Growing Follicles: What Is the Link?, in: Biology of Reproduction, April 2014, vol. 90, no 4, 11 p. [ DOI : 10.1095/biolreprod.113.117077 ]
https://hal.inria.fr/hal-00961546 -
23J. Touboul, L. C. Garcia del Molino, K. Pakdaman.
The heterogeneous gas with singular interaction: Generalized circular law and heterogeneous renormalized energy, in: Journal of Physics A General Physics, 2014, 26 p.
https://hal.inria.fr/hal-01095228 -
24J. Touboul.
Propagation of chaos in neural fields, in: Annals of Applied Probability, 2014, vol. 24, no 3, pp. 1298–1327, forthcoming. [ DOI : 10.1214/13-AAP950 ]
https://hal.archives-ouvertes.fr/hal-00942210 -
25J. Touboul.
Spatially extended networks with singular multi-scale connectivity patterns, in: Journal of Statistical Physics, 2014, 27 p. [ DOI : 10.1007/s10955-014-1015-x ]
https://hal.inria.fr/hal-00942201
Invited Conferences
-
26M. Desroches.
Canards in 3D piecewise-linear slow-fast systems, application to neuron models, in: The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, July 2014.
https://hal.inria.fr/hal-01091239 -
27M. Desroches.
Mixed-Mode Bursting Oscillations (MMBOs): slow passage through spike-adding canard explosion, in: Multi-Scale Models, Slow-Fast Differential Equations, Averaging in Ecology and Neuroscience, Bernoulli Centre, EPFL, Lausanne, Switzerland, November 2014.
https://hal.inria.fr/hal-01091242 -
28J. Touboul.
The pinwheel-dipole organization of orientation and spatial frequency maps, and their common organizing principles. , in: 5th France-Israël binational conference on neurosciences, Sde Boker, Israel, February 2014.
https://hal.inria.fr/hal-01097888
Scientific Popularization
-
29D. Monniaux, R. Dalbiès-Tran, S. Fabre, N. Gérard, P. Monget, F. Clément.
Le développement folliculaire ovarien et l’ovulation, in: La reproduction animale et humaine, Editions Quae, October 2014.
https://hal.inria.fr/hal-01092675
Other Publications
-
30P. Chossat, M. Krupa.
Heteroclinic cycles in Hopfield networks, December 2014.
https://hal.inria.fr/hal-01096505 -
31M. Desroches, J.-P. Françoise, L. Mégret.
Canard-induced loss of stability across a homoclinic bifurcation, October 2014, submitted for publication.
https://hal.inria.fr/hal-01093445 -
32S. Fernández-García, M. Desroches, M. Krupa, F. Clément.
A multiple timescale coupling of piecewise linear oscillators. Application to a neuroendocrine system, August 2014, submitted for publication.
https://hal.inria.fr/hal-01093198 -
33S. Mischler, C. Quiñinao, J. Touboul.
On a kinetic FitzHugh-Nagumo model of neuronal network, January 2015.
https://hal.archives-ouvertes.fr/hal-01108872 -
34B. Perthame, C. Quiñinao, J. Touboul.
Competition and boundary formation in heterogeneous media: Application to neuronal differentiation, August 2014.
https://hal.archives-ouvertes.fr/hal-01054813 -
35C. Quiñinao, J. Touboul.
Limits and dynamics of randomly connected neuronal networks, May 2014.
https://hal.archives-ouvertes.fr/hal-01054802
-
36P. Bressloff.
Spatiotemporal dynamics of continuum neural fields, in: J. Phys. A, 2012, vol. 45, 033001 p. -
37F. Clément, A. Vidal.
Foliation-based parameter tuning in a model of the GnRH pulse and surge generator, in: SIAM J. Appl. Dyn. Syst., 2009, vol. 8, no 4, pp. 1591–1631. -
38F. Clément, J.-P. Françoise.
Mathematical modeling of the GnRH-pulse and surge generator, in: SIAM J. Appl. Dyn. Syst., 2007, vol. 6, pp. 441-456. -
39N. Echenim, D. Monniaux, M. Sorine, F. Clément.
Multi-scale modeling of the follicle selection process in the ovary, in: Math. Biosci., 2005, vol. 198, pp. 57-79. -
40J. Laskar, P. Robutel.
High order symplectic integrators for perturbed hamiltonian systems, in: Celestial Mech. Dynam. Astronom., 2001, vol. 80, pp. 9-62. -
41P. Michel.
Multiscale modeling of follicular ovulation as a mass and maturity dynamical system, in: Multiscale Model. Simul., 2011, vol. 9, no 1, pp. 282-313. -
42J. Ribot, A. Romagnoni, C. Milleret, D. Bennequin, J. Touboul.
Pinwheel-dipole configuration in cat early visual cortex, 2014.
http://dx.doi.org/10.1101/009308 -
43T. Vo, R. Bertram, J. Tabak, M. Wechselberger.
Mixed mode oscillations as a mechanism for pseudo-plateau bursting, in: J. Comput. Neurosci., 2010, vol. 28, no 3, pp. 443–458. -
44H. Wilson, J. Cowan.
Excitatory and inhibitory interactions in localized populations of model neurons, in: Biophys. J., 1972, vol. 12, pp. 1–24.