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SUMMARY:Angelyn Lao (De La Salle University Manila)
DTSTART:20210211T163000Z
DTEND:20210211T170000Z
DTSTAMP:20260421T124419Z
UID:MoRN/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/12/">Ch
 emical reaction network decompositions and realizations of S-systems</a>\n
 by Angelyn Lao (De La Salle University Manila) as part of Seminar on the M
 athematics of Reaction Networks\n\n\nAbstract\nWe present novel decomposit
 ion classes of chemical reaction networks (CRNs) derived from S-system kin
 etics. Based on the network decomposition theory initiated by Feinberg in 
 1987\, we introduce the concept of incidence independent decompositions an
 d develop the theory of $\\mathscr{C}$- and $\\mathscr{C}^*$- decompositio
 ns which partition the set of complexes and the set of nonzero complexes r
 espectively\, including their structure theorems in terms of linkage class
 es. Analogous to Feinberg's independent decomposition\, we demonstrate the
  important relationship between sets of complex balance equilibria for an 
 incidence independent decomposition of weakly reversible subnetworks for a
 ny kinetics. We show that the  $\\mathscr{C}^*$-decompositions are also in
 cidence independent. We also introduce in this paper a new realization for
  an S-system that is analyzed using a newly defined class of species cover
 able CRNs. This led to the extension of the deficiency formula and charact
 erization of fundamental decompositions of species decomposable reaction n
 etworks.\n
LOCATION:https://researchseminars.org/talk/MoRN/12/
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