[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-967121","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Mod\u00e9lisation math\u00e9matique en neurosciences\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          4\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n          Semestre 2\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ECours magistraux :\u003C\/span\u003E\n                                      \u003Cspan\u003E20\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                                                        \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EFran\u00e7ais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n                    \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003ES\u00e9ance 1 : Introduction : le syst\u00e8me nerveux, neuro-physiologie d\u2019un seul neurone. Mod\u00e8les d\u00e9terministes d\u2019un seul neurone. Les mod\u00e8les de Hodgkin-Huxley, FitzHugh-Nagumo, mod\u00e8les int\u00e8gre et tire.\u003C\/p\u003E\n\u003Cp\u003ES\u00e9ance 2 : Mod\u00e8les d\u00e9terministes, suite : Un peu de th\u00e9orie des syst\u00e8mes dynamiques. Points stationnaires, cycles limites et th\u00e9orie des bifurcations. Syst\u00e8mes dynamiques lents-rapides. Mod\u00e8les avec bruit gaussien (diffusion), Excursion : Mod\u00e8le de Hodgkin-Huxley stochastique.\u003C\/p\u003E\n\u003Cp\u003ES\u00e9ance 3 : Trains de d\u00e9charge, processus ponctuels. Processus de Poisson homog\u00e8ne et inhomog\u00e8ne, mesures de Poisson et m\u00e9thode de \u0022thinning\u0022.\u003C\/p\u003E\n\u003Cp\u003ES\u00e9ances 4 et 5 : Processus de Hawkes lin\u00e9aire, repr\u00e9sentation par clusters, existence et non-explosion, loi des grands nombres, comportement en temps long.\u003C\/p\u003E\n\u003Cp\u003ES\u00e9ances 5 et 6 : Processus de Hawkes non-lin\u00e9aires, liens avec PDMP. Un peu de th\u00e9orie des processus de Markov, comportement en temps long.\u003C\/p\u003E\n\u003Cp\u003ES\u00e9ance 7 : Mod\u00e8les en temps discret, estimation du graphe d\u0027interaction.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EOrganisation g\u00e9n\u00e9rale et modalit\u00e9s p\u00e9dagogiques\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E7 s\u00e9ances.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E[1] Br\u00e9maud, P., Massoulie, L. Stability of nonlinear Hawkes processes. The Annals of Probability, 24(3) (1996) 1563-1588.\u003C\/p\u003E\n\u003Cp\u003E[2] Gerstner, W., Kistler, W.M., Naud, R., Paninski, L. Neuronal dynamics: from single neurons to networks and models of cognition. Cambridge University Press, 2014.\u003C\/p\u003E\n\u003Cp\u003E[3] Izhikevich, E. Dynamical systems in neuroscience: the geometry of excitability and bursting MIT Press, 2006.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]