BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Philippe Robert (INRIA) DTSTART:20240523T150000Z DTEND:20240523T153000Z DTSTAMP:20260421T124552Z UID:MoRN/101 DESCRIPTION:Title: A Stochastic Analysis of Particle Systems with Pairing\nby Philippe Rob ert (INRIA) as part of Seminar on the Mathematics of Reaction Networks\n\n \nAbstract\nMotivated by a general principle governing regulation mechanis ms in biological cells\, we investigate a general interaction scheme betw een different populations of particles and specific particles\, referred t o as agents. Particles and agents may bind and form a pair which may have some specific functional properties. A pair splits after some random amou nt of time. In a stochastic context\, with a set of J different types of p articles\, using a Markovian model for the vector of the number of paired particles\, we study the asymptotic behavior of the time evolution of the number of paired particles with the total number of particles used as a s caling parameter. The analysis of the time evolution of this chemical rea ction network is done via the proof of an averaging principle with three t imescales. This is a joint work with Vincent Fromion and Jana Zaherddine.\ n LOCATION:https://researchseminars.org/talk/MoRN/101/ END:VEVENT END:VCALENDAR