BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gábor Szederkényi (Pazmany Peter Catholic University (PPKE)) DTSTART:20231026T150000Z DTEND:20231026T153000Z DTSTAMP:20260421T124013Z UID:MoRN/79 DESCRIPTION:Title: An alysis and application of kinetic flow models\nby Gábor Szederkényi (Pazmany Peter Catholic University (PPKE)) as part of Seminar on the Mathe matics of Reaction Networks\n\n\nAbstract\nIn this contribution\, nonnegat ive flow models in kinetic and compartmental form will be studied. The mot ivation of the research came from the results on ribosome flow models (RFM s) which are deterministic dynamical systems used to describe ribosome mov ement during mRNA translation. Over the past 15 years or so\, many of the advantageous properties and applications of these models have been demonst rated in the literature. In the talk\, an essential generalization of RFMs will be presented. The class of systems we propose can handle arbitrary d irected network (graph) structures and general nonlinear (even time-varyin g) cell transition rates in contrast to the simpler structures and transit ion rates studied previously. Under the general assumptions\, important pr operties of the models (e.g. stability\, monotonicity\, passivity\, Hamilt onian structure) can be shown\, which can be well exploited in dynamical a nalysis and control design. The basis of the analysis is the theory of che mical reaction networks and compartmental systems. Of further interest\, a special spatial discretization of flow models used in vehicle flow modell ing can be shown to belong to the generalized RFMs. This opens up an excit ing opportunity to study the links between biochemical reaction networks a nd certain transportation models.\n LOCATION:https://researchseminars.org/talk/MoRN/79/ END:VEVENT END:VCALENDAR