Biophysical Journal
Volume 78, Issue 2, February 2000, Pages 652-661
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Modeling the Kinetics of Acylation of Insulin using a Recursive Method for Solving the Systems of Coupled Differential Equations

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Abstract

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.

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