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SUMMARY:Máté Telek (University of Copenhagen)
DTSTART:20230413T153000Z
DTEND:20230413T160000Z
DTSTAMP:20260421T124241Z
UID:MoRN/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/74/">Ne
 w results on the (dis)connectivity of the parameter region of multistation
 arity</a>\nby Máté Telek (University of Copenhagen) as part of Seminar o
 n the Mathematics of Reaction Networks\n\n\nAbstract\nDespite recent devel
 opments\, describing the set of parameters that enable multistationarity i
 n a reaction network is a challenging problem. Under certain assumptions o
 n the network\, one can associate a critical polynomial to the network tha
 t gives information about multistationarity. Especially\, if the preimage 
 of the negative real line under the critical polynomial is connected then 
 the parameter region of multistationarity is connected. In the first part 
 of the talk\, I will present several new sufficient conditions on the crit
 ical polynomial that imply connectivity. I will give several examples of r
 eaction networks where our algorithm can be applied. In particular\, we sh
 ow that the parameter region of multistationarity of the sequential and di
 stributive phosphorylation cycle with up to seven binding sites is connect
 ed. In the second part\, I will discuss a reaction network whose parameter
  region of multistationarity is not connected.\n
LOCATION:https://researchseminars.org/talk/MoRN/74/
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