A mathematical study of simple exponential modelling in biochemical processes

This paper discusses the application of simple exponential functions for analyses of complex biochemical processes such as transport phenomena in a mammalian system. The main aim is to identify these exponential function models using various curve fitting techniques. The experimental data used is based on transport of a radio-active tracer 32P (Radio-phosphorus) from a central compartment of blood plasma to subsidiary organ compartments in insulin-treated diabetic rats. The data has been analysed with a view to fitting exponential functions. A graphical method of exponential peeling and six (I to VI) computer programs based on iterative methods for solving single, as well as, multiple exponential functions have been used. The method of exponential peeling has also been compared with the least squares method for simple linear regression. The sum of two exponential functions has been found to be the most preferred Goodness of Fit by the computer programs. This model indicates that the transport of 32P in blood plasma in rats is governed by two major metabolic parameters. Further interpretations of the fitted equations are discussed.