BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Francesca Randone (IMT School for Advanced Studies Lucca) DTSTART:20230223T160000Z DTEND:20230223T163000Z DTSTAMP:20260421T123923Z UID:MoRN/65 DESCRIPTION:Title: Dy namic Boundary Projection: Refining Deterministic Approximations Of Stocha stic Reaction Networks Through Dynamic Boundary Projection\nby Frances ca Randone (IMT School for Advanced Studies Lucca) as part of Seminar on t he Mathematics of Reaction Networks\n\n\nAbstract\nTo exactly compute the mean dynamics of stochastic reaction networks\, the solution of the Chemic al Master Equation (CME) is rarely feasible. Deterministic rate equations (DRE)\, while proven to converge to the average population dynamics for in finite individuals\, may exhibit significant discrepancies for finite popu lations\, especially in the presence of intrinsic noise\, unstable or mult i-stable dynamics. Therefore\, it is often necessary to resort to computat ionally expensive simulations. Dynamic Boundary Projection (DBP) is a meth od that couples together a truncated version of the CME\, describing the e volution of a subset of states and a set of DREs\, used to shift the obser ved subset across the state space. I will show how we can apply DBP to SRN s even when they exhibit oscillatory orbits\, multi-scale populations\, or multiple stable equilibria. Moreover\, I will present an extension aiming at reducing the computational costs of the method by suitably defining a family of rescaled approximating processes. \n\nThe talk is based on joint work with Mirco Tribastone and Luca Bortolussi.\n LOCATION:https://researchseminars.org/talk/MoRN/65/ END:VEVENT END:VCALENDAR