DISCRETE
Applications:
- Analysis of multi-exponential 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 Gauss-Newton 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. 304-319.
Downloading:
Download by clicking on the 6 files below and saving them from your
browser. (You can also
exit your browser and use FTP to download everything in the directory
pub/discrete/ on the anonymous FTP server
ftp.s-provencher.com)
README.txt
( 1kB):
Short guide for the installation and test run; print this first;
-
discrete-manual1.pdf (1356kB);
-
discrete-manual2.pdf (929kB);
-
math-biosci.pdf (1410kB)
(useful, but not necessary reading);
-
discrete.for
( 202kB):
Fortran source code (not needed if you can use one of the two
executables listed below);
-
discrete.in
( 3kB):
Test data.
You need a Fortran compiler, except that the following executable may work on
your Linux system: discrete-linux.gz
( 97kB),
or the following executable may work on your MS Windows system:
discrete-windows.exe
( 616kB).
Back to S.W. Provencher's home page
Last modified: 24 October 2008