Abstract
The Tikhonov regularization method was proposed for correction of gel chromatograms for instrumental broadening. The results obtained in solving the Tung equation by approximation and regularization methods and also in using the Gauss and Pearson distributions as a function of instrumental broadening were compared.
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REFERENCES
Belen'kii, B.G. and Vilenchik, L.Z., Khromatografiya polimerov (Chromatography of Polymers), Moscow: Khimiya, 1978.
Sigaeva, N.N., Usmanov, T.S., Shirokova, E.A., et al., Dokl. Ross. Akad. Nauk., 1999, vol. 365, no. 2, pp. 221-224.
Sigaeva, N.N., Usmanov, T.S., Budtov, V.P., et al., Vysokomol. Soedin., 2000, vol. 42, no. 1, pp. 112-117.
Sigaeva, N.N., Usmanov, T.S., Spivak, S.I., et al., Bashk. Khim. Zh., 2000, vol. 7, no. 2, pp. 36-41.
Tung, L.H., J. Appl. Polym. Sci., 1966, vol. 10, pp. 375-385.
Tung, L.H., Sep. Sci., 1970, vol. 5, no. 4, pp. 429-436.
Provder, T. and Rozen, E.M., Sep. Sci., 1970, vol. 5, no. 4, pp. 437-484.
Pierce, P.E. and Armonas, J.E., J. Polym. Sci., Ser. C, 1968, no. 21, pp. 23-29.
Balke, S.T. and Hamielec, A.E., J. Appl. Polym. Sci., 1969, vol. 13, pp. 1381-1420.
Rozen, E.M. and Provder, T., Sep. Sci., 1970, vol. 5, no. 4, pp. 485-521.
Rozen, E.M. and Provder, T., J. Appl. Polym. Sci., 1971, vol. 15, pp. 1687-1702.
Kislov, E.N., Zotikov, E.N., Podosenova, N.G., et al., Vysokomol. Soedin., Ser. A, 1978, vol. 20, no. 8, pp. 1910-1912.
Tikhonov, A.N. and Arsenin, V.Ya., Metody resheniya nekorrektnykh zadach (Methods of Solving Incorrect Problems), Moscow: Nauka, 1986.
Tikhonov, A.N., Goncharskii, A.V., Stepanov, V.V., and Yagola, A.G., Chislennye metody resheniya nekorrektnykh zadach (Numerical Methods of Solving Incorrect Problems), Moscow: Nauka, 1990.
Usmanov, S.M., Izv. Vyssh. Uchebn. Zaved., Ser. Fiz., 1991, no. 10, pp. 102-107.
Usmanov, S.M., Chislennye metody resheniya nekorrektno postavlennykh zadach i avtomatizirovannaya matematicheskaya obrabotka dannykh relaksatsionnoi spektroskopii (Numerical Methods of Solving Incorrect Problems and Automated Processing of Data of Relaxation Spectroscopy), Ufa: Bashk. Gos. Univ., 1992.
Usmanov, S.M., Relaksatsionnaya polyarizatsiya dielektrikov. Raschet spektrov vremen dielektricheskoi relaksatsii (Relaxation Polarization of Dielectrics. Evaluation of Spectra of Dielectric Relaxation Times), Moscow: Nauka, 1996.
Tikhonov, A.N., Leonov, A.S., and Yagola, A.G., Nelineinye nekorrektnye zadachi (Nonlinear Incorrect Problems), Moscow: Nauka, 1995.
Vilenchik, L.Z., Belen'kii, B.G., Aleksandrov, M.L., and Reifman, L.S., Vysokomol. Soedin., Ser. A, 1976, vol. 18, no. 4, pp. 946-948.
Pollard, J.H., A Handbook of Numerical and Statistical Techniques, Cambridge: Cambridge Univ. Press, 1977.
Benoit, H., Crubisic, L., and Rempp, P.A., J. Polym. Sci., Part B, 1967, vol. 5, no. 9, pp. 753-759.
Berg, A.A., Kozlov, V.G., Budtov, V.P., et al., Vysokomol. Soedin., 1980, vol. 22, no. 3, pp. 543-550.
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Usmanov, T.S., Nabiullin, A.R., Sigaeva, N.N. et al. Correction of Gel Chromatograms for Instrumental Broadening. Russian Journal of Applied Chemistry 74, 1194–1197 (2001). https://doi.org/10.1023/A:1013039506421
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DOI: https://doi.org/10.1023/A:1013039506421