BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Aidan Howells (University of Wisconsin-Madison) DTSTART:20221201T163000Z DTEND:20221201T170000Z DTSTAMP:20260421T124253Z UID:MoRN/59 DESCRIPTION:Title: St ochastic reaction networks within interacting compartments\nby Aidan H owells (University of Wisconsin-Madison) as part of Seminar on the Mathema tics of Reaction Networks\n\n\nAbstract\nStochastic reaction networks have proven to be a useful tool for the understanding of processes\, chemical and otherwise\, in homogeneous environments. There are multiple avenues fo r generalizing away from the assumption that the environment is homogeneou s\, with the proper modeling choice dependent upon the context of the prob lem being considered. One such generalization\, introduced by Duso and Ze chner in 2020\, involves a varying number of interacting compartments\, or cells\, each of which contains an evolving copy of the stochastic reactio n system. The novelty of the model is that these compartments also interac t via the merging of two compartments (including their contents)\, the spl itting of one compartment into two\, and the appearance and destruction of compartments. We will discuss results pertaining to explosivity\, transie nce\, recurrence\, and positive recurrence of the model\, and explore a nu mber of examples demonstrating some possible non-intuitive behaviors.\n\nB ased on join work with David F. Anderson.\n LOCATION:https://researchseminars.org/talk/MoRN/59/ END:VEVENT END:VCALENDAR