1971
DOI: 10.1007/bf00606825
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The mathematical deconvolution of complex spectral contours into components with partially known parameters

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Cited by 3 publications
(3 citation statements)
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“…These relations allow a reduction in the number of unknown parameters for individual spectral component from four (I m ,  m ,   ,  + ) to two (I m ,  m ) (three or five unknown parameters for two-or three-component solutions, respectively). Such a significant reduction in the number of parameters makes decomposition analysis much less ambiguous [48]. By implementing this additional information (constraints) and using the log-normal function to describe the spectral components, two mathematically different algorithms for the decomposition of fluorescence spectra were developed: SIMS -SImple fitting procedure using the root-Mean-Square criterion, which is based on the minimal least-square approach, and PHREQ -PHase-plot-based REsolution using Quenchers that uses an analytical pseudo-graphic solving technique [45].…”
Section: Log-normal Function For Describing Spectral Curvesmentioning
confidence: 99%
“…These relations allow a reduction in the number of unknown parameters for individual spectral component from four (I m ,  m ,   ,  + ) to two (I m ,  m ) (three or five unknown parameters for two-or three-component solutions, respectively). Such a significant reduction in the number of parameters makes decomposition analysis much less ambiguous [48]. By implementing this additional information (constraints) and using the log-normal function to describe the spectral components, two mathematically different algorithms for the decomposition of fluorescence spectra were developed: SIMS -SImple fitting procedure using the root-Mean-Square criterion, which is based on the minimal least-square approach, and PHREQ -PHase-plot-based REsolution using Quenchers that uses an analytical pseudo-graphic solving technique [45].…”
Section: Log-normal Function For Describing Spectral Curvesmentioning
confidence: 99%
“…The straight linear relationships between positions of maximal ( m ) and two half-maximal amplitudes ( Ϫ and ϩ ) have been revealed for a large series of monocomponent spectra of small tryptophan derivatives in various solvents and allowed to reduce the number of unknown parameters from four to two (Burstein and Emelyanenko, 1996). Such a reduction of number of parameters sought is known to make a decomposition much more unambiguous (Antipova- Korotaeva and Kazanova, 1971). As a result, the biparametric log-normal function (uniparametric one for the spec-tral shape) for fluorescence spectra of tryptophan and its residues in proteins appears as follows:…”
Section: Introductionmentioning
confidence: 99%
“…Combined theoretical-experimental; 1683, 1942, Theoretical papers: 1360,1839,1840,1868,1872,1940,1996,1999,2021,2024,2028,2072,2147 Combined theoretical-experimental: 508, 2037…”
mentioning
confidence: 99%