Predicting an Equilibrium State Value From Transient State Data

Values of many biological, chemical and physical factors approach their respective equilibrium state values when constant reactive potentials are applied to these factors. These equilibrium state values are frequently required for analyzing their transient processes. Mathematical analyses of available data on transient state values of various factors revealed that most of these values could be estimated by using an exponential formula, A procedure was developed for the reliable prediction of equilibrium values through the proper application of the formula to transient state values. For this development, it was assumed that transient state values were given at equal time intervals. According to a number of experimental computations, errors of equilibrium state values predicted by the developed procedure were less than 5%. The procedure estimated equilibrium values with less than 50% the time effort required by conventional procedures and will be of great use for reliably predicting equilibrium state values, especially when a factor converges very slowly to its equilibrium condition.