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SUMMARY:Carsten Wiuf (University of Copenhagen)
DTSTART:20210520T150000Z
DTEND:20210520T153000Z
DTSTAMP:20260421T124518Z
UID:MoRN/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/24/">On
  the sum of two reactions</a>\nby Carsten Wiuf (University of Copenhagen) 
 as part of Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\n
 It is standard in (bio)chemistry to represent a series of reactions by a s
 ingle reaction\, often called a complex reaction in contrast to an element
 ary reaction. For example\, photosynthesis $6\\ \\text{CO}_2+6\\ \\text{H}
 _2\\text{O}\\ \\to \\ \\text{C}_6\\text{H}_{12}\\text{O}_6+6\\ \\text{O}_2
 $ is such complex reaction. We introduce a mathematical operation that cor
 responds to summing two chemical reactions. Specifically\, we define an as
 sociative and non-communicative operation on the product space $\n_0^n\\ti
 mes \n_0^n$ (representing the reactant and the product of a chemical react
 ion\, respectively). The operation models the overall effect of two reacti
 ons happening in succesion\, one after the other. We study the algebraic p
 roperties of the operation and apply the results to stochastic reaction ne
 tworks\, in particular to reachability of states\, and to reduction of rea
 ction networks.\n
LOCATION:https://researchseminars.org/talk/MoRN/24/
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