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Biophys J, February 2000, p. 652-661, Vol. 78, No. 2

Modeling the Kinetics of Acylation of Insulin using a Recursive Method for Solving the Systems of Coupled Differential Equations

Bartosz A. Grzybowski, Janelle R. Anderson, Ian Colton, Scott T. Brittain, Eugene I. Shakhnovich, and George M. Whitesides

Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138

This paper describes a theoretical method for solving systems of coupled differential equations that describe the kinetics of complicated reaction networks in which a molecule having multiple reaction sites reacts irreversibly with multiple equivalents of a ligand (reagent). The members of the network differ in the number of equivalents of reagent that have reacted, and in the patterns of sites of reaction. A recursive algorithm generates series, asymptotic, and average solutions describing this kinetic scheme. This method was validated by successfully simulating the experimental data for the kinetics of acylation of insulin.

Biophys J, February 2000, p. 652-661, Vol. 78, No. 2
© 2000 by the Biophysical Society   0006-3495/00/02/652/10  $2.00




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