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X-WR-CALNAME:Biomedical Mathematics Group
X-ORIGINAL-URL:https://www.ibs.re.kr/bimag
X-WR-CALDESC:Events for Biomedical Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
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DTSTART:20200101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210129T140000
DTEND;TZID=Asia/Seoul:20210129T160000
DTSTAMP:20260428T065456
CREATED:20210223T092935Z
LAST-MODIFIED:20210406T075248Z
UID:3978-1611928800-1611936000@www.ibs.re.kr
SUMMARY:Yun Min Song\, On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism
DESCRIPTION:We will discuss about “On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism”\, bioRxiv (2021). \nThe conditions for the validity of the standard quasi-steady-state approximation in the Michaelis–Menten mechanism in a closed reaction vessel have been well studied\, but much less so the conditions for the validity of this approximation for the system with substrate inflow. We analyze quasi-steady-state scenarios for the open system attributable to singular perturbations\, as well as less restrictive conditions. For both settings we obtain distinguished invariant slow manifolds and time scale estimates\, and we highlight the special role of singular perturbation parameters in higher order approximations of slow manifolds. We close the paper with a discussion of distinguished invariant manifolds in the global phase portrait. \n 
URL:https://www.ibs.re.kr/bimag/event/2021-01-29/
LOCATION:KAIST E2-1 room 3221\, E2-1 building\, Daejeon\, Daejeon\, 34141\, Korea\, Republic of
CATEGORIES:Journal Club,Seminar
ORGANIZER;CN="Jae Kyoung Kim":MAILTO:jaekkim@kaist.ac.kr
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