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SUMMARY:Murad Banaji (Middlesex University London)
DTSTART:20221110T160000Z
DTEND:20221110T163000Z
DTSTAMP:20260421T124524Z
UID:MoRN/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/57/">Sp
 litting reactions preserves nondegenerate behaviours in chemical reaction 
 networks</a>\nby Murad Banaji (Middlesex University London) as part of Sem
 inar on the Mathematics of Reaction Networks\n\n\nAbstract\nInheritance re
 sults attempt to answer the question: which enlargements of a chemical rea
 ction network (CRN) preserve its capacity for interesting behaviours such 
 as multistationarity or oscillation? What are the potential effects on the
  dynamics of a CRN of adding new reactions and/or species\, or modifying r
 eactions? Such results allow us to make claims about large networks based 
 on their subnetworks. This talk will focus on a particular inheritance res
 ult: under mild assumptions\, splitting reactions and inserting intermedia
 te complexes preserves the capacity of a mass action CRN for nondegenerate
  multistationarity and oscillation. This allows us to claim\, more general
 ly\, that introducing enzymatic mechanisms into mass action systems preser
 ves their capacity for these behaviours. The main result is motivated by t
 he fact that intermediates are often omitted from CRN models in biology\, 
 but the effects of leaving out intermediates are not always well understoo
 d.\n
LOCATION:https://researchseminars.org/talk/MoRN/57/
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