BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Beatriz Pascual Escudero (Universidad Carlos III (Spain)) DTSTART:20201203T160000Z DTEND:20201203T163000Z DTSTAMP:20260421T123743Z UID:MoRN/2 DESCRIPTION:Title: Nec essary conditions for ACR in Reaction Networks\nby Beatriz Pascual Esc udero (Universidad Carlos III (Spain)) as part of Seminar on the Mathemati cs of Reaction Networks\n\n\nAbstract\nA biological system has absolute co ncentration robustness (ACR) for some molecular species if the concentrati on of this species does not vary among the different steady states that th e network admits. In particular\, this concentration is independent of the initial conditions. This interesting feature confers the system a highly desirable property in order to adapt to environmental conditions\, which m akes it useful\, for instance\, in synthetic biology. While some classes o f networks with ACR have been described (Shinar and Feinberg 2010\; Karp e t al. 2012)\, as well as some techniques to check a network for ACR (Pére z Millán 2011\; Kuwahara et al. 2017)\, finding networks with this proper ty is a difficult task in general.\n\nMotivated by this problem\, we studi ed local and global notions of robustness on the set of (real positive) so lutions of a system of polynomial equations\, and in particular on the set of steady states of a reaction network. Algebraic geometry allowed us to provide a practical test on necessary conditions for ACR. Properties of re al and complex algebraic varieties are necessary for the results\, while t he test ends up being a linear algebra computation.\n LOCATION:https://researchseminars.org/talk/MoRN/2/ END:VEVENT END:VCALENDAR