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.
3B. Aymard, F. Clément, M. Postel.

Adaptive mesh refinement strategy for a non conservative transport problem, in: ESAIM Math. Model. Numer. Anal., 2014, vol. 48, n^o 5, pp. 1381-1412.
4J. Burke, M. Desroches, A. Barry, T. Kaper, M. Kramer.

A showcase of torus canards in neuronal bursters, in: J. Math. Neurosci., 2012, vol. 2.
5F. 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, n^o 2, pp. 824-847.
6F. 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, n^o 3, pp. 719-746.
7F. Clément, D. Monniaux.

Multiscale modelling of follicular selection, in: Prog. Biophys. Mol. Biol., 2013, vol. 113, pp. 398-408.
8M. 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.
9D. 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 $β$ -arrestin signaling, in: Mol. Syst. Biol., 2012, vol. 8, n^o 590.
10M. 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.
11P. Shang.

Cauchy problem for multiscale conservation laws: Application to structured cell populations, in: J. Math. Anal. Appl., 2013, vol. 401, n^o 2, pp. 896-920.
12J. Touboul.

Limits and dynamics of stochastic neuronal networks with random delays, in: J. Stat. Phys., 2012, n^o 149, pp. 569–597.
13J. 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.
14J. Touboul.

Propagation Of Chaos In Neural Fields, in: Ann. Appl. Probab., 2014, vol. 24, n^o 3, pp. 1298–1327.
15A. 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.

Publications of the year

Articles in International Peer-Reviewed Journals

16B. Aymard, F. Clément, D. Monniaux, M. Postel.

Cell-Kinetics Based Calibration of a Multiscale Model of Structured Cell Populations in Ovarian Follicles, in: SIAM Journal on Applied Mathematics, 2016, vol. 76, n^o 4, pp. 1471–1491. [ DOI : 10.1137/15M1030327 ]

https://hal.archives-ouvertes.fr/hal-01186381
17F. Clément.

Multiscale mathematical modeling of the hypothalamo-pituitary-gonadal axis, in: Theriogenology, July 2016, vol. 86, n^o 1, pp. 11-21. [ DOI : 10.1016/j.theriogenology.2016.04.063 ]

https://hal.inria.fr/hal-01334304
18S. Fernández-García, M. Krupa, F. Clément.

Mixed-Mode Oscillations in a piecewise linear system with multiple time scale coupling, in: Physica D: Nonlinear Phenomena, July 2016, vol. 332, pp. 9–22. [ DOI : 10.1016/j.physd.2016.06.002 ]

https://hal.inria.fr/hal-01342978
19B. Freret-Hodara, Y. Cui, A. Griveau, L. Vigier, Y. Arai, J. Touboul, A. Pierani.

Enhanced Abventricular Proliferation Compensates Cell Death in the Embryonic Cerebral Cortex, in: Cerebral Cortex, September 2016.

https://hal.archives-ouvertes.fr/hal-01412093
20L. C. Garcia del Molino, K. Pakdaman, J. Touboul, G. Wainrib.

The real Ginibre ensemble with k=O(n) real eigenvalues, in: Journal of Statistical Physics, 2016, vol. 163, n^o 2, pp. 303-323.

https://hal.archives-ouvertes.fr/hal-01412352
21M. Krupa, J. Touboul.

Canard explosion in delayed equations with multiple timescales, in: Journal of Dynamics and Differential Equations, 2016, vol. 28, n^o 2, pp. 471-491.

https://hal.archives-ouvertes.fr/hal-01253412
22E. Köksal Ersöz, M. Desroches, M. Krupa, F. Clément.

Canard-Mediated (De)Synchronization in Coupled Phantom Bursters, in: SIAM Journal on Applied Dynamical Systems, March 2016, vol. 15, n^o 1, pp. 580–608. [ DOI : 10.1137/15M101840X ]

https://hal.inria.fr/hal-01256389
23S. Mischler, C. Quiñinao, J. Touboul.

On a Kinetic Fitzhugh–Nagumo Model of Neuronal Network, in: Communications in Mathematical Physics, 2016, vol. 342, n^o 3, pp. 1001–1042. [ DOI : 10.1007/s00220-015-2556-9 ]

https://hal.archives-ouvertes.fr/hal-01108872
24D. Monniaux, P. Michel, M. Postel, F. Clément.

Multiscale modeling of ovarian follicular development: From follicular morphogenesis to selection for ovulation, in: Biology of the Cell, June 2016, vol. 108, n^o 6, pp. 1-12. [ DOI : 10.1111/boc.201500087 ]

https://hal.inria.fr/hal-01294630
25J. Ribot, A. Romagnoni, C. Milleret, D. Bennequin, J. Touboul.

Pinwheel-Dipole configuration in cat visual cortex, in: NeuroImage, 2016, vol. 128, pp. 63-73.

https://hal.archives-ouvertes.fr/hal-01412346
26P. Robert, J. Touboul.

On the dynamics of random neuronal networks, in: Journal of Statistical Physics, September 2016, vol. 165, n^o 3, pp. 545-584. [ DOI : 10.1007/s10955-016-1622-9 ]

https://hal.inria.fr/hal-01075242
27A. Romagnoni, J. Ribot, D. Bennequin, J. Touboul.

Parsimony, exhaustivity and balanced detection in neocortex, in: PLoS Computational Biology, 2016, vol. 11, n^o 11, e1004623 p. [ DOI : 10.1371/journal.pcbi ]

https://hal.archives-ouvertes.fr/hal-01412347

Scientific Books (or Scientific Book chapters)

28F. Clément, A. Vidal.

Modeling the Dynamics of Gonadotropin-Releasing Hormone (GnRH) Secretion in the Course of an Ovarian Cycle , in: Computational Neuroendocrinology, D. J. MacGregor, G. Leng (editors), Wiley-INF neuroendocrinology series, John Wiley & Sons, April 2016.

https://hal.inria.fr/hal-01294646

Other Publications

29F. Clément, F. Coquel, M. Postel, K. L. Tran.

Dimensional reduction of a multiscale model based on long time asymptotics, June 2016, working paper or preprint.

http://hal.upmc.fr/hal-01325275
30J. Rubin, J. Signerska-Rynkowska, J. Touboul, A. Vidal.

Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike adding and chaos, December 2016, working paper or preprint.

https://hal.inria.fr/hal-01416002
31J. Signerska-Rynkowska, J. Touboul, A. Vidal.

A geometric mechanism for mixed-mode bursting oscillations in a hybrid neuron model, January 2016, working paper or preprint.

https://hal.inria.fr/hal-01256368

References in notes

32P. Bressloff.

Spatiotemporal dynamics of continuum neural fields, in: J. Phys. A: Math. Theor., 2012, vol. 45, pp. 033001–.
33F. 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, n^o 4, pp. 1591–1631.
34F. 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.
35N. 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.
36J. Ribot, A. Romagnoni, C. Milleret, D. Bennequin, J. Touboul.

Pinwheel-dipole configuration in cat early visual cortex, 2014, pp. 63–73.
37T. Vo, R. Bertram, J. Tabak, M. Wechselberger.

Mixed mode oscillations as a mechanism for pseudo-plateau bursting, in: J. Comput. Neurosci., 2010, vol. 28, n^o 3, pp. 443–458.
38H. Wilson, J. Cowan.

Excitatory and inhibitory interactions in localized populations of model neurons, in: Biophys. J., 1972, vol. 12, pp. 1–24.

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