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SUMMARY:Elizabeth Gross (University of Hawaiʻi at Mānoa)
DTSTART:20231130T160000Z
DTEND:20231130T163000Z
DTSTAMP:20260421T124253Z
UID:MoRN/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/83/">Mi
 xed volumes of networks with binomial steady-states</a>\nby Elizabeth Gros
 s (University of Hawaiʻi at Mānoa) as part of Seminar on the Mathematics
  of Reaction Networks\n\n\nAbstract\nThe steady-state degree of a chemical
  reaction network is the number of complex steady-states for generic rate 
 constants and initial conditions. One way to bound the steady-state degree
  is through the mixed volume of the steady-state system or an equivalent s
 ystem. In this work\, we show that for partionable binomial networks compu
 ting the mixed volume is equivalent to finding the volume of a single mixe
 d cell that is the translate of a parallelotope. We highlight this theorem
  by giving a formula for the mixed volume of species-overlapping networks.
   This is joint work with Jane Coons and Mark Curiel.\n
LOCATION:https://researchseminars.org/talk/MoRN/83/
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