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SUMMARY:Miruna-Stefana Sorea (SISSA Scuola Internazionale Superiore di Stu
 di Avanzati)
DTSTART:20230309T163000Z
DTEND:20230309T170000Z
DTSTAMP:20260421T125959Z
UID:MoRN/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/69/">Di
 sguised toric dynamical systems</a>\nby Miruna-Stefana Sorea (SISSA Scuola
  Internazionale Superiore di Studi Avanzati) as part of Seminar on the Mat
 hematics of Reaction Networks\n\n\nAbstract\nWe study families of polynomi
 al dynamical systems inspired by biochemical reaction networks. We focus o
 n complex balanced mass-action systems\, which have also been called toric
 . They are known or conjectured to enjoy very strong dynamical properties\
 , such as existence and uniqueness of positive steady states\, local and g
 lobal stability\, persistence\, and permanence. We consider the class of d
 isguised toric dynamical systems\, which contains toric dynamical systems\
 , and to which all dynamical properties mentioned above extend naturally. 
 By means of (real) algebraic geometry we show that some reaction networks 
 have an empty toric locus or a toric locus of Lebesgue measure zero in par
 ameter space\, while their disguised toric locus is of positive measure. W
 e also propose some algorithms one can use to detect the disguised toric l
 ocus. This is joint work with Laura Brustenga i Moncusí (University of Co
 penhagen) and Gheorghe Craciun (University of Wisconsin-Madison).\n
LOCATION:https://researchseminars.org/talk/MoRN/69/
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