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SUMMARY:Badal Joshi (California State University San Marcos)
DTSTART:20250213T160000Z
DTEND:20250213T163000Z
DTSTAMP:20260421T124156Z
UID:MoRN/112
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/112/">B
 ifunctional enzyme action as a source of robustness in biochemical reactio
 n networks: a novel hypergraph approach</a>\nby Badal Joshi (California St
 ate University San Marcos) as part of Seminar on the Mathematics of Reacti
 on Networks\n\n\nAbstract\nSubstrate modification networks are ubiquitous 
 in living\, biochemical systems. We use a directed hypergraph\, a generali
 zation of a directed graph where a directed edge connects a nonempty set o
 f nodes to another nonempty set of nodes\, to model the substrate modifica
 tions. This substrate ''skeleton'' portrays information about changes to t
 he substrates while not showing the detailed reaction steps\, the identity
  of enzymes or that of substrate-enzyme compounds. One skeleton can underl
 ie multiple different detailed models and reaction mechanisms. We show tha
 t certain dynamical properties\, such as the existence of positive steady 
 states or presence of concentration robustness can be inferred directly fr
 om the substrate skeleton. Concentration robustness is the property where 
 the concentration of one species or a positive-integer linear combination 
 of species is invariant across all positive steady states. We introduce th
 e notion of ''current'' on a directed hypergraph\, which is one of the two
  crucial ingredients along with bifunctional enzyme action required to pro
 duce concentration robustness. This approach is a departure from previous 
 deficiency based results as it applies to arbitrary substrate modification
  networks. This is joint work with Tung Nguyen.\n
LOCATION:https://researchseminars.org/talk/MoRN/112/
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