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Résumé : My talk is devoted to the family of markov processes on the infinite-dimensional simplex, initially constructed as the infinitely-many-neutral-allels diffusion model by Ethier and Kurth in 1981, and later generalised by Petrov, Borodin and Olshanski. These are Feller processes which are defined infinitesimally in terms of generators (operators acting on the space of functions on the simplex). I will describe several global properties which can be recovered form the infinitesimal definition and explain how these properties follow from the study of the generators.
Lieu : FRUMAM - Aix-Marseille Université - Site St Charles
3, place Victor Hugo - case 39
13331 MARSEILLE Cedex 03
En savoir plus : Séminaire Teich
Résumé : WORKSHOP,
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This workshop aims at bringing together specialists and young researchers from different mathematical backgrounds (modeling, numerical simulations and analysis) working in the fields of oncology and oncopharmacology. This meeting follows three previous workshops successfully organized in CIRM in 2009, 2011 and 2015. Bringing the world of mathematicians, oncologists and biologists closer is a promising way of setting up interdisciplinary collaborations which have led to important progress in the discipline of onco-mathematics in the last decade.
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Topics : Evolution and cancer (atavistic theory and moving epigenetic landscape)
Drug resistance
Heterogeneity in cancer cell populations
Upscaling models (from ODEs in single cells to structured PDEs in cell populations)
Metabolism, stemness and epigenetic treatments
Biomarkers, imagery ; from single cell genetic/epigenetic measurements to distributed heterogeneity in cell population models
From ABMs to PDEs
Immunotherapies (immune checkpoint inhibitors, oncolytic viruses, engineered T-cells/macrophages, pathogen-based treatments, etc.)
Motion of cancer cells, EMT, and motion of cohort-like (sheer epithelial) cell populations
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Organizers : Guillemette Chapuisat (I2M, Marseille)
Jean Clairambault (INRIA,U. Paris 6)
Florence Hubert (I2M, Marseille)
Urszula Ledzewicz (South. Illinois U.)
Vitaly Volpert (Univ. Lyon I)
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Sponsors :
AMIDEX
Aix-Marseille Université (AMU)
Centre International de Rencontres Mathématiques (CIRM)
Centre National de la Recherche Scientifique (CNRS)
Institut de Mathématiques de Marseille (I2M)
LabEx Archimède
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Lieu : CIRM - 163 avenue de Luminy
Case 916
13288 MARSEILLE - Cedex 9
France
En savoir plus : Manifestations scientifiques (colloques, écoles,...)