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SUMMARY:Nida Obatake (Texas A&M (USA))
DTSTART:20201210T160000Z
DTEND:20201210T163000Z
DTSTAMP:20260421T123811Z
UID:MoRN/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/5/">Mix
 ed volume of reaction networks</a>\nby Nida Obatake (Texas A&M (USA)) as p
 art of Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\nAn i
 mportant invariant of a chemical reaction network is its maximum number of
  positive steady states. This number\, however\, is in general difficult t
 o compute. We introduce an upper bound on this number— namely\, a networ
 k’s mixed volume — that is easy to compute. We show that\, for certain
  biological signaling networks\, the mixed volume does not greatly exceed 
 the maximum number of positive steady states. We investigate this overcoun
 t and also compute the mixed volumes of small networks (those with only a 
 few species or reactions). Joint work with Anne Shiu\, Dilruba Sofia\, Ang
 elica Torres\, and Xiaoxian Tang.\n
LOCATION:https://researchseminars.org/talk/MoRN/5/
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