[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-956072","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 Avanc\u00e9e pour la G\u00e9n\u00e9tique Evolutive (MAGE)\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          3\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          Semester 1\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\u003E27\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\u003EAnglais\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\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EMath 0 and MAEE (Stochastic Models in Ecology and in Evolution)\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\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003ELecture 1 (AL): Cannings model, coalescent, infinite-site model, infinite-allele model, Ewens sampling formula, Chinese restaurant process.\u003C\/p\u003E\n\u003Cp\u003ELecture 2 (SR): Multivariate methods: dimension reduction (PCA), clustering (hierarchical, k-means, mixture models).\u003C\/p\u003E\n\u003Cp\u003ELecture 3 (AL): Brownian motion, diffusion theory, stochastic differential equations, infinitesimal generator, hitting probabilities, Feller diffusion, Wright-Fisher diffusion.\u003C\/p\u003E\n\u003Cp\u003ELecture 4 (AL): Coupling gene genealogies: ancestral recombination graph, sequential Markov coalescent.\u003C\/p\u003E\n\u003Cp\u003ELecture 5 (TMH): Mixed models : Random effects, ReML inference, hypothesis testing for variance components and random effect prediction (BLUP).\u003C\/p\u003E\n\u003Cp\u003ELecture 6 (TMH): GWAS : Oligogenic and polygenic models, random effect model accounting for relatedness, multiple testing.\u003C\/p\u003E\n\u003Cp\u003ELecture 7 (SR): State space models: hidden Markov models (HMM), STRUCTURE, sequence evolution models.\u003C\/p\u003E\n\u003Cp\u003ELecture 8 (AL): coalescent of birth-death processes, Luria-Delbr\u00fcck distribution, 1\/k\u00b2 SFS.\u003C\/p\u003E\n\u003Cp\u003ELecture 9 (AL): Trait evolution on a tree, phylogenetic covariance matrix.\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\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EThe aim of this module is to deepen the mathematical concepts and tools covered in the other modules\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\u003EClasses within schedule of other UEs.\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003ELecturers:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003EAmaury Lambert (AL), St\u00e9phane Robin (SR), Tristan Mary-Huard (TMH)\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003ESchedule:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003ELectures are spread over the semester. Six lectures out of 9 are scheduled in the middle of a fortnight dedicated to one of the following modules: GPS (Genomes, Populations, Species), GQ (Quantitative Genetics), ACP (Comparative Phylogenetic Analysis), TP (Tutored Projects). When this is the case, the content of the lecture is in tight relation with the surrounding module (except TP), and the classroom is the one used for this module\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 Terminale\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}]