BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Badal Joshi (California State University San Marcos) DTSTART:20210916T153000Z DTEND:20210916T160000Z DTSTAMP:20260421T124005Z UID:MoRN/29 DESCRIPTION:Title: Dy namic Absolute Concentration Robustness\nby Badal Joshi (California St ate University San Marcos) as part of Seminar on the Mathematics of Reacti on Networks\n\n\nAbstract\nOutput or functional robustness in biochemical systems has been experimentally observed in the IDHKP-IDH glyoxylate bypas s regulation system and the EnvZ/OmpR system in E. coli. To model output r obustness\, we define the notion of dynamic absolute concentration robustn ess (dynamic ACR) in systems of ODEs. A species in a biochemical reaction network has dynamic ACR if its concentration converges to the same positiv e value irrespective of overall initial conditions. Dynamic ACR builds on the notion of static ACR wherein the concentration of a species has the sa me value in any positive steady state. We will define stronger and weaker forms of both static and dynamic ACR along with various naturally occurri ng domains/basins for each. We will give a complete classification of smal l networks\, using both algebraic and topological characterization\, by th eir static ACR\, strong static ACR\, dynamic ACR\, and weak dynamic ACR pr operties.\n LOCATION:https://researchseminars.org/talk/MoRN/29/ END:VEVENT END:VCALENDAR