DISCRETE
Applications:
 Analysis of multiexponential decay data.
 Running in hundreds of laboratories on a wide variety of
computers.
Methods:
 Fully automatic: no starting estimates needed for the number of
exponentials or for their parameters;
 Modified GaussNewton least squares, with intensive searches from many
starting points to find the global optimum;
 Methods in the references below are used to get starting estimates and
to speed up the analysis:
References:
 S.W. Provencher: An eigenfunction expansion method for the analysis of
exponential decay curves. J. Chem. Phys. 64, 2772
(1976).
 S.W. Provencher & R.H. Vogel: Information loss with transform methods
in system identification: A new set of transforms with high information
content. Math. Biosci. 50, 251 (1980).
 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. 304319.
Downloading:
Download by clicking on the 6 files below and saving them from your
browser.
README.txt
(1.3KB):
Short guide for the installation and test run; print this first;

discretemanual1.pdf
(1356 kB);

discretemanual2.pdf
(929 kB);

mathbiosci.pdf
(1410 kB)
(useful, but not necessary reading);

discrete.for
( 34KB):
(zipped with gzip
) Fortran source code
(not needed if you can use one of the two
executables listed below);

discrete.in
(540 B):
Test data.
You need a Fortran compiler, except that the following executable may work on
your Linux system: discretelinux
( 97KB),
or the following executable may work on your MS Windows system:
discretewindows.exe
(616KB).
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Last modified: 12 June 2011