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SUMMARY:Mark Curiel (University of Hawaii at Manoa)
DTSTART:20210128T163000Z
DTEND:20210128T170000Z
DTSTAMP:20260421T124253Z
UID:MoRN/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/14/">Wh
 en do two networks have the same steady-state ideal?</a>\nby Mark Curiel (
 University of Hawaii at Manoa) as part of Seminar on the Mathematics of Re
 action Networks\n\n\nAbstract\nUnder the assumption of mass action kinetic
 s\, the associated dynamical system of a reaction network is polynomial. W
 e consider the ideals generated by these polynomials\, which are called st
 eady-state ideals. Steady-state ideals appear in multiple contexts within 
 the chemical reaction network literature\, however they have yet to be sys
 tematically studied. To begin such a study\, we ask and partially answer t
 he following question: when do two reaction networks give rise to the same
  steady-state ideal? In particular\, our main results describe three opera
 tions on the reaction graph that preserve the steady-state ideal. Furtherm
 ore\, since the motivation for this work is the classification of steady-s
 tate ideals\, monomials play a primary role.  To this end\, combinatorial 
 conditions are given to identify monomials in a steady-state ideal\, and w
 e give a sufficient condition for a steady-state ideal to be monomial.\n
LOCATION:https://researchseminars.org/talk/MoRN/14/
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