Chemometric analysis for extraction of individual fluorescence spectrum and lifetimes from a target mixture
First Claim
1. A method of chemometric analysis for the extraction of an individual fluorescence spectrum and an individual fluorescence lifetime from a target mixture comprising the following steps:
- acquiring the frequency and wavelength data from the emitted signal from the target mixture;
determining a G matrix and a S matrix from a frequency vector and a wavelength vector;
renormalizing w-1 Sx to Gx ;
determining an initial U, V, g and w-1 s approximations;
initializing one or more decision variables;
comparing the decision variables for convergence to see if further determinations for U, V, g and w-1 s are necessary;
extracting the individual fluorescence lifetime from the target mixture; and
extracting the individual fluorescence spectrum from the target mixture.
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Abstract
The present invention is a system for chemometric analysis for the extraction of the individual component fluorescence spectra and fluorescence lifetimes from a target mixture. The present invention combines a processor with an apparatus for generating an excitation signal to transmit at a target mixture and an apparatus for detecting the emitted signal from the target mixture. The present invention extracts the individual fluorescence spectrum and fluorescence lifetime measurements from the frequency and wavelength data acquired from the emitted signal. The present invention uses an iterative solution that first requires the initialization of several decision variables and the initial approximation determinations of intermediate matrices. The iterative solution compares the decision variables for convergence to see if further approximation determinations are necessary. If the solution converges, the present invention then determines the reduced best fit error for the analysis of the individual fluorescence lifetime and the fluorescence spectrum before extracting the individual fluorescence lifetime and fluorescence spectrum from the emitted signal of the target mixture.
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Citations
16 Claims
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1. A method of chemometric analysis for the extraction of an individual fluorescence spectrum and an individual fluorescence lifetime from a target mixture comprising the following steps:
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acquiring the frequency and wavelength data from the emitted signal from the target mixture; determining a G matrix and a S matrix from a frequency vector and a wavelength vector; renormalizing w-1 Sx to Gx ; determining an initial U, V, g and w-1 s approximations; initializing one or more decision variables; comparing the decision variables for convergence to see if further determinations for U, V, g and w-1 s are necessary; extracting the individual fluorescence lifetime from the target mixture; and extracting the individual fluorescence spectrum from the target mixture. - View Dependent Claims (2, 3, 4)
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5. A program storage device readable by a computer, tangibly embodying a program of instructions executable by the computer to perform method steps for a method of chemometric analysis for the extraction of an individual fluorescence spectrum and an individual fluorescence lifetime from a target mixture, comprising the following method steps:
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acquiring the frequency and wavelength data from the emitted signal from the target mixture; determining a G matrix and a S matrix from a frequency vector and a wavelength vector; renormalizing w-1 Sx to Gx ; determining an initial U, V, g and w-1 s approximations; initializing one or more decision variables; comparing the decision variables for convergence to see if further determinations for U, V, g and w-1 s are necessary; extracting the individual fluorescence lifetime from the mixture; and extracting the individual fluorescence spectrum from the target mixture. - View Dependent Claims (6, 7, 8)
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9. A system for chemometric analysis for the extraction of an individual fluorescence spectrum and an individual fluorescence lifetime from a target mixture, comprising:
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a processor that acquires the frequency and wavelength data from the emitted signal from the mixture; means for determining a G matrix and a S matrix from a frequency vector and a wavelength vector; means for renormalizing w-1 Sx to Gx ; means for determining an initial U, V, g and w-1 s approximations; means for initializing one or more decision variables; means for comparing the decision variables for convergence to see if further determinations for U, V, g and w-1 s are necessary; means for extracting the individual fluorescence lifetime from the target mixture; and means for extracting the individual fluorescence spectrum from the target mixture. - View Dependent Claims (10, 11, 12)
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13. An apparatus for chemometric analysis for the extraction of an individual fluorescence spectrum and an individual fluorescence lifetime from a target mixture, comprising:
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a processor that acquires the frequency and wavelength data from the emitted signal from the mixture; a determiner that determines a G matrix and a S matrix from a frequency vector and wavelength vector; a renormalizer that renormalizes w-1 Sx to Gx ; a determiner that determines an initial U, V, g and w-1 s approximations; an initializer that initializes one or more decision variables; a comparator that compares the decision variables for convergence to see if further determinations for U, V, g and w-1 s are necessary; an extractor that extracts the individual fluorescence lifetime from the target mixture; and an extractor that extracts the individual fluorescence spectrum from the target mixture. - View Dependent Claims (14, 15, 16)
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Specification