BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lea Popovic (Concordia University) DTSTART:20201112T163000Z DTEND:20201112T170000Z DTSTAMP:20260421T123812Z UID:MoRN/4 DESCRIPTION:Title: A s patially heterogeneous stochastic model for chemical reaction networks \nby Lea Popovic (Concordia University) as part of Seminar on the Mathemat ics of Reaction Networks\n\n\nAbstract\nI will present a measure-valued fr amework for stochastic modelling of chemical reaction networks with spatia l heterogeneity. Reactions rates at a spatial location are proportional to the mass of different species present locally\, and to a location specifi c chemical rate that is allowed to be a function of the local or global ma ss of different species. The benefit of the framework is in rigorous appro ximation limits that exploit multi-scale aspects of the system. When the m ass of all species scales the same way\, we get classical deterministic li mit described by PDEs. When the mass of some species in the scaling limit is discrete while the mass of the others is continuous\, we obtain a new t ype of spatial random evolution process in which discrete mass evolves sto chastically and the continuous mass evolves according to PDEs between cons ecutive jump times of the discrete part. Some useful properties of the lim iting process are inherited from the pre-limiting sequence\, and could be used in devising simulation algorithms.\n\nThis is joint work with Amandin e Veber (Paris V\, Polytechnique-Saclay)\n LOCATION:https://researchseminars.org/talk/MoRN/4/ END:VEVENT END:VCALENDAR