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SUMMARY:Laura Brustenga i Moncusi (University of Copenhagen)
DTSTART:20200423T154000Z
DTEND:20200423T161000Z
DTSTAMP:20260423T024551Z
UID:NASO/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NASO/11/">Re
 action networks and toric systems</a>\nby Laura Brustenga i Moncusi (Unive
 rsity of Copenhagen) as part of Max Planck Institute nonlinear algebra sem
 inar online\n\n\nAbstract\nMass-action networks (edge labelled directed gr
 aphs) model cascades of chemical reactions (e.g. used by biological system
 s for adapting to the environment). From the assumption of mass-action kin
 etics\, a mass-action network gives rise to a polynomial dynamical system.
  In this large class of polynomial systems\, the intuition from Chemistry 
 and Algebraic Geometry feed themselves\, giving exciting new results. For 
 example\, we will discuss complex balanced mass-action networks\, which ha
 ve a natural chemical interpretation and (conjecturally) completely determ
 ines the dynamics of the associated systems (called toric dynamical system
 s). We will introduce “disguised toric systems”\, which exploit this r
 elationship the other way around: given a dynamical system\, can we build 
 a complex balanced mass-action network for it?\n\n(Joint work with Gheorgh
 e Craciun and Miruna-Ştefana Sorea).\n
LOCATION:https://researchseminars.org/talk/NASO/11/
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