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, n^o 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, n^o 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 $\beta$-arrestin signaling, in: Mol. Syst. Biol., 2012, vol. 8, n^o 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, n^o 2, pp. 896-920.
• 11J. Touboul.
  Limits and dynamics of stochastic neuronal networks with random delays, in: J. Stat. Phys., 2012, n^o 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.

Publications of the year

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, n^o 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, n^o 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, n^o 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, n^o 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, n^o 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, n^o 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

References in notes

• 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, n^o 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, n^o 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, n^o 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.