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SUMMARY:Matthew Johnston (Lawrence Technological University)
DTSTART:20251009T150000Z
DTEND:20251009T153000Z
DTSTAMP:20260421T124651Z
UID:MoRN/124
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/124/">E
 xtending the Basic Reproduction Number to Biochemical Reaction Networks</a
 >\nby Matthew Johnston (Lawrence Technological University) as part of Semi
 nar on the Mathematics of Reaction Networks\n\n\nAbstract\nWe extend the n
 ext generation matrix method for computing the basic reproduction number i
 n mathematical epidemiology to computing an analogous number for establish
 ing the stability of boundary faces in biochemistry. In epidemiology\, the
  basic reproduction number indicates whether a disease can invade a popula
 tion\, with values below one leading to disease-free stability and values 
 above one signaling an outbreak. In biochemistry\, the number determines w
 hether certain chemical species persist or go extinct\, with values greate
 r than one leading to persistence. The next generation matrix method appro
 ach is typically significantly more computationally tractable than standar
 d Jacobian or Routh-Hurwitz methods for establishing stability\; consequen
 tly\, the method could have significant applications for understanding met
 abolic function.\n
LOCATION:https://researchseminars.org/talk/MoRN/124/
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