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X-WR-CALDESC:Events for Biomedical Mathematics Group
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DTSTART:20210101T000000
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DTSTART;TZID=Asia/Seoul:20221213T160000
DTEND;TZID=Asia/Seoul:20221213T170000
DTSTAMP:20260425T132630
CREATED:20221209T045119Z
LAST-MODIFIED:20221211T121541Z
UID:6984-1670947200-1670950800@www.ibs.re.kr
SUMMARY:Static and Dynamic Absolute Concentration Robustness
DESCRIPTION:Absolute Concentration Robustness (ACR) was introduced by Shinar and Feinberg (Science 327:1389-1391\, 2010) as robustness of equilibrium species concentration in a mass action dynamical system. Their aim was to devise a mathematical condition that will ensure robustness in the function of the biological system being modeled. The robustness of function rests on what we refer to as empirical robustness — the concentration of a species remains unvarying\, when measured in the long run\, across arbitrary initial conditions. Even simple examples show that the ACR notion introduced in Shinar and Feinberg (here referred to as static ACR) is neither necessary nor sufficient for empirical robustness. To make a stronger connection with empirical robustness\, we define dynamic ACR\, a property related to long-term\, global dynamics\, rather than only to equilibrium behavior. We discuss general dynamical systems with dynamic ACR properties as well as parametrized families of dynamical systems related to reaction networks. In particular\, we find necessary and sufficient conditions for dynamic ACR in complex balanced reaction networks\, a class of networks that is central to the theory of reaction networks.This is joint work with Badal Joshi (CSUSM)
URL:https://www.ibs.re.kr/bimag/event/static-and-dynamic-absolute-concentration-robustness/
LOCATION:B232 Seminar Room\, IBS\, 55 Expo-ro Yuseong-gu\, Daejeon\, Daejeon\, 34126\, Korea\, Republic of
CATEGORIES:Biomedical Mathematics Seminar
ORGANIZER;CN="Jae Kyoung Kim":MAILTO:jaekkim@kaist.ac.kr
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