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, D. Monniaux, M. Postel.
  Cell-kinetics based calibration of a multiscale model of structured cell populations in ovarian follicles, in: SIAM J. Appl. Math., 2016, vol. 76, n^o 4, pp. 1471–1491.
• 4B. 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.
• 5J. Burke, M. Desroches, A. Barry, T. Kaper, M. Kramer.
  A showcase of torus canards in neuronal bursters, in: J. Math. Neurosci., 2012, vol. 2.
• 6F. 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.
• 7F. 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.
• 8F. Clément, D. Monniaux.
  Multiscale modelling of follicular selection, in: Prog. Biophys. Mol. Biol., 2013, vol. 113, pp. 398-408.
• 9M. 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.
• 10D. 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.
• 11M. 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.
• 12P. 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.
• 13J. Touboul.
  Limits and dynamics of stochastic neuronal networks with random delays, in: J. Stat. Phys., 2012, n^o 149, pp. 569–597.
• 14J. 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.
• 15J. Touboul.
  Propagation Of Chaos In Neural Fields, in: Ann. Appl. Probab., 2014, vol. 24, n^o 3, pp. 1298–1327.
• 16A. 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

• 17F. Clément, F. Coquel, M. Postel, K. L. Tran.
  Dimensional Reduction of a Multiscale Model Based on Long Time Asymptotics, in: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2017, vol. 15, n^o 3, pp. 1198 - 1241. [ DOI : 10.1137/16M1062545 ]
  http://hal.upmc.fr/hal-01325275
• 18E. Köksal Ersöz, M. Desroches, M. Krupa.
  Synchronization of weakly coupled canard oscillators, in: Physica D: Nonlinear Phenomena, June 2017, vol. 349, pp. 46-61. [ DOI : 10.1016/j.physd.2017.02.016 ]
  https://hal.inria.fr/hal-01558897
• 19E. Köksal Ersöz, A. Vidal, F. Clément.
  Coupled multiple timescale dynamics in populations of endocrine neurons: Pulsatile and surge patterns of GnRH secretion, in: SIAM Journal on Applied Dynamical Systems, 2017, pp. 1-29, forthcoming.
  https://hal.inria.fr/hal-01666251
• 20L. Mégret.
  Studies of the Petrov Module for a Family of Generalized Liénard Integrable Systems, in: Qualitative Theory of Dynamical Systems, 2017, vol. 20, n^o 2, pp. 1-21. [ DOI : 10.1007/s12346-017-0250-3 ]
  https://hal.inria.fr/hal-01571808
• 21J. Rubin, J. Signerska-Rynkowska, J. Touboul, A. Vidal.
  Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike adding and chaos, in: Discrete and Continuous Dynamical Systems - Series B (DCDS-B), September 2017, vol. 22, pp. 3967-4002, https://arxiv.org/abs/1611.02740.
  https://hal.inria.fr/hal-01416002
• 22J. Signerska-Rynkowska, J. Touboul, A. Vidal, J. Rubin.
  Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations, in: Discrete and Continuous Dynamical Systems - Series B, 2017, vol. 22, pp. 4003-4039, https://arxiv.org/abs/1509.08282.
  https://hal.inria.fr/hal-01256368

Other Publications

• 23F. Clément, F. Robin, R. YVINEC.
  Analysis and calibration of a linear model for structured cell populations with unidirectional motion : Application to the morphogenesis of ovarian follicles, December 2017, working paper or preprint.
  https://hal.inria.fr/hal-01666373
• 24F. Clément, F. Robin, R. YVINEC.
  Multiscale modeling of the morphogenesis of ovarian follicles: a cell-dynamics based approach, April 2017, 75 p, 2. Journées du GdR 3606 Repro , Poster.
  https://hal.archives-ouvertes.fr/hal-01606594

References in notes

• 25P. Bressloff.
  Spatiotemporal dynamics of continuum neural fields, in: J. Phys. A: Math. Theor., 2012, vol. 45, pp. 033001–.
• 26F. 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.
• 27F. 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.
• 28N. 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.
• 29S. FernáNdez-GarcÍa, M. Desroches, M. Krupa, F. Clément.
  A Multiple Time Scale Coupling Of Piecewise Linear Oscillators. Application To A Neuroendocrine System, in: Siam Journal On Applied Dynamical Systems, 2015, vol. 14, n^o 2, 31 p.
• 30N. Fournier, S. Méléard.
  A microscopic probabilistic description of a locally regulated population and macroscopic approximations, in: Ann. Appl. Probab, 2004, vol. 14, pp. 119-144.
• 31B. 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: Cereb. Cortex, 2016, pp. 1-18.
• 32E. Köksal-Ersöz, M. Desroches, M. Krupa, F. Clément.
  Canard-Mediated (De)Synchronization in Coupled Phantom Bursters, in: SIAM J. Appl. Dyn. Syst., 2016, vol. 15, n^o 1, pp. 580-608.
• 33B. Perthame.
  Transport equations in biology, Frontiers in Mathematics, Birkhauüser, Basel, 2007.
• 34J. Ribot, A. Romagnoni, C. Milleret, D. Bennequin, J. Touboul.
  Pinwheel-dipole configuration in cat early visual cortex, 2014, pp. 63–73.
• 35A. Vidal, F. Clément.
  A dynamical model for the control of the GnRH neurosecretory system, in: J. Neuroendocrinol., 2010, vol. 22, pp. 1251–1266.
• 36T. 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.
• 37H. Wilson, J. Cowan.
  Excitatory and inhibitory interactions in localized populations of model neurons, in: Biophys. J., 1972, vol. 12, pp. 1–24.