A NONLINEAR MODEL FOR TEMPLET REGULATED PROTEIN SYNTHESIS,
Abstract
A mathematical model of biological polymerization reactions is formulated and applied to protein synthesis. Under certain reasonable assumptions, including that of a nondisassociated enzyme templet complex, the resulting set of first order nonlinear differential equations were solved by integral transform techniques. The case where the enzyme templet complex cisassociates is also treated by perturbation techniques. The results indicate that the synthesis can be regarded as consisting of three stages (assuming constant monomer concentration): (a) an initial stage in which the concentration of protein is given by Ct to the 2N + 1 power (where N is the degree of polymerization and t, time) and therefore representing a lag phase; (b) an intermediate stage in which the protein concentration is determined by an exponential polynomial; (c) a third state of a linear increase in protein concentration with time. Methods are also described for determining the rate constants, associated with the polymerization, from the in vitro kinetic data. This important result should facilitate the kinetic analysis of peptide synthesis. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1944
- Accession Number
- AD0608115
Entities
People
- I. Gerst
- S. N. Levine
Organizations
- State University of New York