Fitting multiple RC time constants

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An excerpt from EXPFIT: a program for simultaneous analysis of families of exponential decay curves, Computer Methods and Programs in Biomedicine 27 (1988) 61

5. Discussion
Many programs are available for computer fitting of data corresponding to exponential decay curves, especially in the field of pharmacokinetics.

Pharmacokinetic curve fitting and parameter determination by non-linear, iterative least squares regression analysis using a programmed minicalculator, International Journal Bio-Medical Computing 12 (1981) 503-517
pharmacokinetic non-linear, iterative least-squares program for the minicalculator TI-59 with adapted printer is descrbed. The program utilizes the Gauss-Newton gradient method in an iterative, non-linear regression analysis of up to 18 data pairs

A routine fitting of kinetic data to sums of exponentials with a programmable calculator, Computers in Biology and Medicine 14 (1984)363-376.
Abstract - … Two multioptional programs written for the Texas Instrument 59 programmable calculator and for the Sharp 1500 pocket computer were developed which provide for fully automated exponential stripping of pharmacokinetic data and which will allow workers to calculate the numerical values of all the coefficients and exponents for the tracer function fitting the monotone sequences of data. …

& this excerpt from AREA ESTIMATION IN PHARMACOKINETIC STUDIES USING A HAND-HELD PROGRAMMABLE CALCULATOR International Journal of Bio-Medical Computing 15 (1984) 219-224

A short program for area analysis in pharmacokinetic studies using the Hewlett-Packard [b]HP41C hand-held programmable calculator is described[/b] …
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… The decision can be facilitated by preliminary exponential regression analysis of an increasing number of terminal data pairs to determine the line of best fit. This can be accomplished rapidly on the HP41C calculator using the exponential curve fitting program in the statistics application module. Such a technique cannot be compared with advanced, complex automatic curve stripping computer programs such as AUTOAN, which incorporate iterative non-linear least squares regression analysis. Nevertheless, it has a significant advantage over manual graphical methods in that consistent results from a given set of data can be obtained by different people.

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