Co-Authors:
Fishman, S., Department of Statistics and Experiment Design, The Volcani Center, Post Office Box 6, Bet Dagan, 50250, Israel
Talpaz, H., Department of Statistics and Experiment Design, The Volcani Center, Post Office Box 6, Bet Dagan, 50250, Israel
Bar, A., Institute of Animal Sciences, Agricultural Research Organization, The Volcani Center, Post Office Box 6, Bet Dagan, 50250, Israel
Hurwitz, S., Institute of Animal Sciences, Agricultural Research Organization, The Volcani Center, Post Office Box 6, Bet Dagan, 50250, Israel
Abstract:
A mathematical analysis of the kinetics of the hormone-receptor interaction was applied to the 1,25-dihydroxycholecalciferol-intestinal receptor system. The exact analytical solution and the numerical integration of the kinetic equation were installed in a Statistical Analysis System (SAS) computer program to estimate the rate constants of the reaction. Estimates of the parameters obtained by these two methods are similar, demonstrating that the numerical integration can be combined with the nonlinear regression procedure for least-squares parameter fitting using a simple SAS program. This enables estimation of kinetics rate constants when the kinetic equation cannot be solved analytically. The ratio of the rate constants ( ka kd) found by the nonlinear procedure is close to the independently determined equilibrium (Scatchard) constant in the nonlinear analysis. © 1986.
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