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 (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/discrete/ on the anonymous FTP server
ftp.s-provencher.com)
README.txt
(about 2kB):
Short guide for the installation and test run; read this first;
-
discrete-manual1.pdf (1356kB);
-
discrete-manual2.pdf (929kB);
-
math-biosci.pdf (1410kB)
(useful, but not necessary reading);
-
discrete.for
(about 202kB):
Fortran source code;
-
discrete.in
(about 3kB):
Test data.
You need a Fortran compiler, except that the following executable may work on
your Linux system: discrete-linux.gz
(about 97kB).
Back to S.W. Provencher's home page
Last modified: 09 December 2001