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SUMMARY:Stability of Reaction Networks: A System-Theoretic Approach - Muha
 mmad Ali Al-Radhawi\, Imperial College London
DTSTART:20151022T130000Z
DTEND:20151022T140000Z
UID:TALK61922@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:A central dilemma in studying reaction networks that arise is 
 molecular system biology is that the 'quantitative' or 'parametric' descri
 ption of the network is scarce and uncertain compared to the widely availa
 ble 'qualitative' or 'graphical' description. Hence\, a central problem in
  this realm is the extraction of information regarding the asymptotic beha
 viour of the network from the graphical description solely.\n\nThis talk p
 resents a new approach that uncovers a new class of networks that can be a
 nalysed from the graphical information only. Using intuitions from the gra
 phical representation of the network\, the talk introduces the class of 'p
 iecewise linear in rates' Lyapunov functions and the associated class of '
 graphically stable networks'. Several algorithms for the construction of s
 uch functions will be given.\n\nThe 'robust' stability properties of the n
 ew class will be discussed. In addition\, it will be shown that the propos
 ed approach has strong implications and connections to linear differential
  inclusions\, 'robust' uniqueness of equilibria\, contraction analysis\, a
 nd 'structural' persistence. Finally\, the talk presents the application o
 f the results to several important biochemical examples.
LOCATION:Cambridge University Engineering Department\, LR12
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