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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, , 15 May /02/2010 Mano Ram Maurya

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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) Derivative from measured data Rate of change is a nonlinear function of concentration of all species 2

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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 3

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