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UID:4v5h38cco22k1rn2s9rb5atsgs@google.com
CATEGORIES:{lang hu}Differenciálegyenletek szeminárium{/lang}{lang en}Differential equations seminar{/lang}
SUMMARY:AmirHosein Sadeghimanesh (Bolyai Institute): Algebraic tools in the study of multistationarity in chemical reaction networks
LOCATION:Bolyai Intézet, I. emelet, Riesz terem, Aradi vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. In this talk I cover some of results of my PhD. We first establis
h the mathematical framework of chemical reaction networks (CRN). Then we s
tart by studying their steady state ideals, giving a faster algorithm to co
mpute Gröbner bases of these ideals. We use this tool to also detect binomi
ality of the steady state ideal. After gaining some knowledge about binomia
lity of networks, we introduce an algorithm to compute the multistationarit
y structure of CRNs with binomial core networks. At the second half of the\
ntalk, a new approach for answering questions regarding the parameter regio
n where a network exhibits multistationary behavior will be discussed. All
algorithms are algorithmic and have advantages over the other existing algo
rithms in the literature which will be mentioned as well.
DTSTAMP:20221206T142140Z
DTSTART;TZID=Europe/Budapest:20200206T100000
DTEND;TZID=Europe/Budapest:20200206T120000
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