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, no 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, no 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, no 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, no 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, no 2, pp. 896-920.
  • 12J. Touboul.

    Limits and dynamics of stochastic neuronal networks with random delays, in: J. Stat. Phys., 2012, no 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, no 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, no 4, pp. 1471–1491. [ DOI : 10.1137/15M1030327 ]

  • 17F. Clément.

    Multiscale mathematical modeling of the hypothalamo-pituitary-gonadal axis, in: Theriogenology, July 2016, vol. 86, no 1, pp. 11-21. [ DOI : 10.1016/j.theriogenology.2016.04.063 ]

  • 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 ]

  • 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.

  • 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, no 2, pp. 303-323.

  • 21M. Krupa, J. Touboul.

    Canard explosion in delayed equations with multiple timescales, in: Journal of Dynamics and Differential Equations, 2016, vol. 28, no 2, pp. 471-491.

  • 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, no 1, pp. 580–608. [ DOI : 10.1137/15M101840X ]

  • 23S. Mischler, C. Quiñinao, J. Touboul.

    On a Kinetic Fitzhugh–Nagumo Model of Neuronal Network, in: Communications in Mathematical Physics, 2016, vol. 342, no 3, pp. 1001–1042. [ DOI : 10.1007/s00220-015-2556-9 ]

  • 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, no 6, pp. 1-12. [ DOI : 10.1111/boc.201500087 ]

  • 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.

  • 26P. Robert, J. Touboul.

    On the dynamics of random neuronal networks, in: Journal of Statistical Physics, September 2016, vol. 165, no 3, pp. 545-584. [ DOI : 10.1007/s10955-016-1622-9 ]

  • 27A. Romagnoni, J. Ribot, D. Bennequin, J. Touboul.

    Parsimony, exhaustivity and balanced detection in neocortex, in: PLoS Computational Biology, 2016, vol. 11, no 11, e1004623 p. [ DOI : 10.1371/journal.pcbi ]


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.


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.

  • 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.

  • 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.

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, no 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, no 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.