Abstract
A theory on flow rate optimization in column chromatography is presented on the basis of information theory. The quality of a given chromatogram is evaluated by the information flow ϑ which is defined as the time-averaged amount of Shannon mutual information called FUMI. The theory developed here is a universal one: the new formula of FUMI, put-forward here, takes a general form applicable to system evaluation, design and optimization of any chromatographic variables which can be related to Gaussian peak shape.
Similar content being viewed by others
References
R. Villalobos and R. Annino, HRC CC, J. High Resolut Chromatogr. Chromatogr. Commun., 12, 149 (1989).
G. Guiochon, Anal. Chenu, 52, 2002 (1980).
Y. Hayashi, S. Yoshioka and Y. Takeda, Anal Sci., 5, 329 (1989).
D. L. Massart, B. G. M. Vandeginste, S. N. Deming, Y. Michotte and L. Kaufman, “Chemometrics: A textbook”, Elsevier, Amsterdam, 1977.
Y. Hayashi, T. Shibazaki and M. Uchiyama, Anal. Cham Acta, 201, 185 (1987).
Y. Hayashi, S. Yoshioka and Y. Takeda, Anal Chim. Acta, 212, 81 (1988)
Y. Hayashi, R. Matsuda, S. Yoshioka and Y. Takeda, Anal. Chim. Acta, 209, 45 (1988).
R. Matsuda, Y. Hayashi, M. Ishibashi and Y. Takeda, J. Chromatogr., 462, 13 (1989).
R. Matsuda, Y. Hayashi, M. Ishibashi and Y. Takeda, J. Chromatogr., 462, 23 (1989).
S. Arimoto, “Johou Riron (Information Theory, in Japanese)”, Kyoritsu Shuppan, Tokyo, 1977.
S. Arimoto, “Kaiman Filter”, Sangyo Tosho, Tokyo, 1977.
Y. Hayashi and R. Matsuda, Anal. Chim. Acta, HI, 313 (1989)
M. Mamiya and T. Nishikawa, “Fourier Henkan Nyumon (Introduction to Fourier Transformation, in Japanese)”, Kyoritsu Shuppan, Tokyo, 1977.
M. Hino, “Supekutoru Kaiseki (Spectrum Analysis, in Japanese)”, Asakura Shoten, Tokyo, 1977.
A. Katchalsky and P. F. Curran, “Nonequilibruim Thermodynamics in Biophysics”, Harvard University Press, Cambridge, Massachusetts, 1977.
“Kosoku Ekitai Kuromatogurafu Bunseki (High Performance Liquid Chromatography, in Japanese)”, ed. The Japan Society for Analytical Chemistry, Kanto Region Branch, Sangyo Tosho, Tokyo, 1977.
Y. Hayashi, T. Shibazaki, R. Matsuda and M. Uchiyama, Anal Chim. Acta, 202, 187 (1987).
Y. Hayashi, T. Shibazaki and M. Uchiyama, J. Chromatogr., 411, 95 (1987).
R. Matsuda, Y. Hayashi, M. Ishibashi and Y. Takeda, J. Chromatogr., 438, 319 (1988).
R. Matsuda, Y. Hayashi, M. Ishibashi and Y. Takeda, Anal Chim. Acta, 222, 301 (1989)
Y. Hayashi and R. Matsuda, submitted for publication.
Y. Hayashi and R. Matsuda, Anal. Sci, 5, 459 (1989).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hayashi, Y. Information Theory of Optimization in Chromatography. ANAL. SCI. 6, 15–19 (1990). https://doi.org/10.2116/analsci.6.15
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.2116/analsci.6.15