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SUMMARY:Tung D. Nguyen (University of California\, Los Angeles)
DTSTART:20241010T150000Z
DTEND:20241010T153000Z
DTSTAMP:20260421T130106Z
UID:MoRN/102
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/102/">R
 eaction network operations that double the steady-state capacity</a>\nby T
 ung D. Nguyen (University of California\, Los Angeles) as part of Seminar 
 on the Mathematics of Reaction Networks\n\n\nAbstract\nA great deal of rec
 ent research has focused on proving that certain operations on reaction ne
 tworks preserve dynamical properties of interest in applications. One such
  property is the capability for multistationarity (multiple steady states)
 . However\, little is known about how high the number of steady states can
  increase after such an operation. Here we construct operations that\, und
 er certain conditions\, double a network's steady-state capacity (the maxi
 mum number of positive steady states). These operations typically introduc
 e one new species and several new reactions.\n\nMoreover\, we establish su
 fficient conditions for these operations to increase the number of stable 
 steady states. This allows for the possibility of turning a monostable (on
 e stable steady state) network into a multistable (multiple stable steady 
 states) one. The operations can also be tuned to control the locations of 
 the new stable steady states\; in particular it is possible to create new 
 stable steady states near the location of unstable steady states in the ol
 d system.\n\nA joint work with Badal Joshi\, Nidhi Kaihnsa and Anne Shiu.\
 n
LOCATION:https://researchseminars.org/talk/MoRN/102/
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