Accession Number : AD0746023

Title :   A Comparison of Stochastic and Deterministic Models for Cell Membrane Transport,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Smith,Woollcott ; Smeach,Stephen C.

Report Date : JUN 1972

Pagination or Media Count : 20

Abstract : The paper describes several models for enzyme mediated transport across a cell membrane. A standard Michaelis-Menten model (based on empirical descriptions) is compared to a deterministic model (based on the idealization of the plasma membrane as a tri-lamellar structure) and to a stochastic model (having the additional assumption of compartmentation of the tri-lamellar membrane). Lineweaver-Burke plots for each model are compared using two different sets of parameter values. These plots suggest, and analytic investigations of the models show, that the deterministic formulation. The effect of the application of the concept of compartmentation to some stochastic models of in vivo systems is briefly discussed. (Author)

Descriptors :   (*MEMBRANES(BIOLOGY), TRANSPORT PROPERTIES), (*ENZYMES, TRANSPORT PROPERTIES), CELLS(BIOLOGY), MATHEMATICAL MODELS, STOCHASTIC PROCESSES, REACTION KINETICS

Subject Categories : Biochemistry

Distribution Statement : APPROVED FOR PUBLIC RELEASE