SplMod

Applications:

Sums of 1-parameter functions, such as convoluted exponentials in fast decay processes;
Optional global analysis of up to about 50 data sets with the same decay constants (e.g., multi-wavelength sets);
Optional robust correction for response function in fast fluorescence decay using standards [1].
Running on a wide variety of computers.

Methods:

fully automatic: no starting estimates needed for the number of components or for their parameters;
modified Gauss-Newton least squares, with intensive searches from many starting points to find the global optimum;
optional spline approximation of model functions [2] for faster analyses (probably unnecessary with current computers).

References:

R.W. Wijnaendts van Resandt, R.H. Vogel & S.W. Provencher: Double beam fluorescence spectrometer with subnanosecond resolution: Application to aqueous tryptophan. Rev. Sci. Instr. 53, 1392 (1982).
S.W. Provencher & R.H. Vogel: Regularization techniques for inverse problems in molecular biology in: Numerical Treatment of Inverse Problems in Differential and Integral Equations, eds. P. Deuflhard & E. Hairer (Birkhäuser, Boston, 1983), pp. 304-319.

Downloading:

Download by clicking on the 5 files below and saving them from your browser (e.g., with "Save As..." in Netscape's "File" menu). (You can also exit your browser and use FTP to download everything in the directory pub/splmod/ on the anonymous FTP server ftp.s-provencher.com)

README.txt (about 2kB): Short guide for the installation and test run; read this first;
splmod-manual.pdf (3710kB);
hd83.pdf (1237kB) (useful, but not necessary reading);
splmod.for (about 477kB): Fortran source code;
splmod.in (about 11kB): Test data.

You need a Fortran compiler, except that the following executable may work on your Linux system: splmod-linux.gz (about 115kB).

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Last modified: 09 December 2001