BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Matthew Johnston (Lawrence Technological University) DTSTART:20220310T163000Z DTEND:20220310T170000Z DTSTAMP:20260421T123629Z UID:MoRN/49 DESCRIPTION:Title: An alyzing Steady States of Mass Action Systems through Network Splitting \nby Matthew Johnston (Lawrence Technological University) as part of Semin ar on the Mathematics of Reaction Networks\n\n\nAbstract\nThe process of n etwork translation corresponds a mass action system to a generalized mass action system with equivalent dynamics. Recent research has shown that\, w hen the generalized chemical reaction network underlying the second networ k has desirable structure\, such as weak reversibility and low deficiency\ , then we may use the network to establish properties of the steady state set and to explicitly construct a steady state parametrization. In this ta lk\, I will extend this theory by introducing the method of "splitting" ne tworks. In a split network\, we allow the original network to be partition ed into subnetworks\, called "slices"\, while imposing that the union of t he subnetworks preserves the stoichiometry of the original network. I show that this process expands the scope of mass action systems whose steady s tates can be characterized by the method of network translation.\n LOCATION:https://researchseminars.org/talk/MoRN/49/ END:VEVENT END:VCALENDAR