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 $\beta$-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.