Modeling the kinetics of acylation of insulin using a recursive method for solving the systems of coupled differential equations.
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.
Grzybowski
B A
BA
Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA.
Anderson
J R
JR
Colton
I
I
Brittain
S T
ST
Shakhnovich
E I
EI
Whitesides
G M
GM
D000215:Acylation; D019075:Electrophoresis, Capillary; D005450:Fluorescamine; D007202:Indicators and Reagents; D007328:Insulin / Q000737:chemistry*; D007700:Kinetics; D008962:Models, Theoretical; D015394:Molecular Structure; D012996:Solutions
D007202:Indicators and Reagents; D007328:Insulin; D012996:Solutions; D005450:Fluorescamine