BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tomislav Plesa (University of Cambridge) DTSTART:20241107T163000Z DTEND:20241107T170000Z DTSTAMP:20260421T130106Z UID:MoRN/108 DESCRIPTION:Title: M apping dynamical systems into chemical reactions\nby Tomislav Plesa (U niversity of Cambridge) as part of Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\nPolynomial dynamical systems are used to model a w ide range of physical processes. \nA subset of these dynamical systems tha t can model chemical reactions under mass-action kinetics are called chemi cal systems. A central problem in synthetic biology is to map general poly nomial dynamical systems into dynamically similar chemical ones. In this talk\, I will present a novel map\, called the quasi-chemical map\, that c an systematically solve this problem. The quasi-chemical map introduces su itable state-dependent perturbations into any\ngiven polynomial dynamical system which then becomes chemical under sufficiently large translation of variables. This map preserves robust dynamical features\, such as generic equilibria and limit cycles\, as well as temporal properties\, such as pe riods of oscillations. Furthermore\, the resulting chemical systems are at most one degree higher than the original\ndynamical systems. I will demon strate the quasi-chemical map by designing relatively simple chemical syst ems with exotic dynamics and predefined bifurcations.\n LOCATION:https://researchseminars.org/talk/MoRN/108/ END:VEVENT END:VCALENDAR