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08/02/2010 Mano Ram Maurya

Numerical Matrices Method for Nonlinear System Identification and Description of Dynamics of Biochemical Reaction Networks Alexey V. Karnaukhov ,  Elena V. Karnaukhova and James R. Williamson Biophysical Journal, Volume 92, Issue 10, 3459-3473, 15 May 2007. 08/02/2010 Mano Ram Maurya.

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08/02/2010 Mano Ram Maurya

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  1. Numerical Matrices Method for Nonlinear System Identification and Description of Dynamics of Biochemical Reaction NetworksAlexey V. Karnaukhov, Elena V. Karnaukhova and James R. WilliamsonBiophysical Journal, Volume 92, Issue 10, 3459-3473, 15 May 2007 08/02/2010 Mano Ram Maurya

  2. Identification of Reaction Network Topology and Parameters • Core concept: Apply least squares approach to minimize the difference between the measured and computed derivatives of metabolite/species concentrations (X) Rate of change is a nonlinear function of concentration of all species Derivative from measured data

  3. Different Cases • When the stoichiometric matrix is known • Similar to Step 1 of our method (matrix-based approach) (Biophysical Journal, 2009) [we also impose K>0] • When the stoichiometrix matrix is not known • General case • When some rate constants are known

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