title: Modeling the kinetics of acylation of insulin using a recursive method for solving the systems of coupled differential equations.
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.
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: B A
authors.initials: BA
authors.lastname: Grzybowski
authors.forename: J R
authors.initials: JR
authors.lastname: Anderson
authors.forename: I
authors.initials: I
authors.lastname: Colton
authors.forename: S T
authors.initials: ST
authors.lastname: Brittain
authors.forename: E I
authors.initials: EI
authors.lastname: Shakhnovich
authors.forename: G M
authors.initials: GM
authors.lastname: Whitesides
mesh_terms: 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
chemical_list: D007202:Indicators and Reagents; D007328:Insulin; D012996:Solutions; D005450:Fluorescamine