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SUMMARY:Justin Eilertsen (University of Michigan)
DTSTART:20210114T163000Z
DTEND:20210114T170000Z
DTSTAMP:20260421T124126Z
UID:MoRN/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/13/">Th
 e current state of quasi-steady-state approximations: manifolds\, time sca
 les\, singularities\, and stochastic fluctuations</a>\nby Justin Eilertsen
  (University of Michigan) as part of Seminar on the Mathematics of Reactio
 n Networks\n\n\nAbstract\nOver the past decade\, mathematicians have made 
 considerable progress concerning the theory and\napplicability of quasi-st
 eady-state (QSS) approximations in chemical kinetics. The application of F
 enichel theory has revealed that QSS reduction in chemical kinetics is far
  richer than previously thought\, even in low-dimensional systems that do 
 not exhibit oscillatory behavior. In this talk\, I will discuss recent dis
 coveries that have emerged in the \nfield of mathematical enzyme kinetics\
 , including methodologies for obtaining perturbation parameters\, singular
  points\, dynamic bifurcations and scaling laws. If time permits\, I will 
 also discuss the applicability of QSS reductions in stochastic environment
 s\, and comment on some open problems in both deterministic and stochastic
  enzyme kinetics.\n
LOCATION:https://researchseminars.org/talk/MoRN/13/
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