Computational methods and systems for multidimensional analysis
First Claim
1. A method for analyzing data obtained from at least one sample in a measurement system that has a capability for measuring components of a sample containing more than one component as a function of at least two different variables, said method comprising:
- obtaining data representative of at least one sample from said system, said data being expressed as a function of said at least two variables;
forming a data stack having successive levels, each level containing one of said data samples;
forming a data array representative of a compilation of all of the data in said data stack; and
separating said data array into a series of matrixes in one overall decomposition process, said matrixes including;
a concentration matrix representative of concentration of each component in said levels of data;
a first profile of the components as a function of said first variable; and
a second profile of the components as a function of said second variable; and
at least one standardization matrix serving to calibrate one of said concentration or profile matrixes.
1 Assignment
0 Petitions
Accused Products
Abstract
A method for analyzing data obtained from at least one sample in a separation system (10, 50, 60) that has a capability for separating components of a sample containing more than one component as a function of at least two different variables including obtaining data representative of the at least one sample from the system, the data being expressed as a function of the two variables; forming a data stack (70, 74, 78, 82, 84) having successive levels, each level containing successive data representative of the at least one sample; forming a data array (R) representative of a compilation of all of the data in the data stack; and separating the data array into a series of matrixes. A chemical analysis system that operates in accordance with the method, and a medium having computer readable program code for causing the system to perform the method.
-
Citations
40 Claims
-
1. A method for analyzing data obtained from at least one sample in a measurement system that has a capability for measuring components of a sample containing more than one component as a function of at least two different variables, said method comprising:
-
obtaining data representative of at least one sample from said system, said data being expressed as a function of said at least two variables; forming a data stack having successive levels, each level containing one of said data samples; forming a data array representative of a compilation of all of the data in said data stack; and separating said data array into a series of matrixes in one overall decomposition process, said matrixes including; a concentration matrix representative of concentration of each component in said levels of data; a first profile of the components as a function of said first variable; and a second profile of the components as a function of said second variable; and at least one standardization matrix serving to calibrate one of said concentration or profile matrixes. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31)
-
-
32. A method for analyzing data obtained from multiple samples in a separation system that has a capability for separating components of a sample containing more than one component as a function of two different variables, said method comprising:
-
obtaining data representative of multiple samples from said system, said data being expressed as a function of said two variables; forming a data stack having successive levels, each level containing one of said data samples; forming a data array representative of a compilation of all of the data in said data stack; and separating said data array into a series of matrixes, said matrixes being; a concentration matrix representative of concentration of each component in said sample; a first profile of the components as a function of said first variable; a second profile of the components as a function of said second variable; and a first standardization matrix and a second standardization matrix; wherein said first standardization matrix shifts said data with respect to said first variable, and said second standardization matrix shifts said data with respect to said second variable. - View Dependent Claims (33, 34, 35)
-
-
36. A method for analyzing data obtained from multiple samples in a separation system that has a capability for separating components of a sample containing more than one component as a function of two different variables, said method comprising:
-
obtaining data representative of multiple samples from said system, said data being expressed as a function of said two variables; forming a data stack having successive levels, each level containing one of said data samples; forming a data array representative of a compilation of all of the data in said data stack; separating said data array into a series of matrixes, said matrixes being; a concentration matrix representative of concentration of each component in said sample; a first profile of the components as a function of said first variable; and a second profile of the components as a function of said second variable; and standardizing data representative of a sample by performing a data matrix multiplication of such data into the product of a first standardization matrix, the data itself, and a second standardization matrix, to form a standardized data matrix; wherein terms in said first standardization matrix and said second standardization matrix have values that cause said data to be represented at positions with respect to said two variables, which are different in said standardized data matrix from those in said data array; and said first standardization matrix shifts said data with respect to said first variable, and said second standardization matrix shifts said data with respect to said second variable.
-
-
37. A method for analyzing data obtained from multiple samples in a separation system that has a capability for separating components of a sample containing more than one component as a function of two different variables, said method comprising:
-
obtaining data representative of multiple samples from said system, said data being expressed as a function of said two variables; forming a data stack having successive levels, each level containing one of said data samples; forming a data array representative of a compilation of all of the data in said data stack; separating said data array into a series of matrixes, said matrixes being; a concentration matrix representative of concentration of each component in said sample; a first profile of the components as a function of said first variable; and a second profile of the components as a function of said second variable; and standardizing data representative of a sample by performing a data matrix multiplication of such data into the product of a first standardization matrix, the data itself, and a second standardization matrix, to form a standardized data matrix; wherein terms in said first standardization matrix and said second standardization matrix have values that cause said data to be represented at positions with respect to said two variables, which are different in said standardized data matrix from those in said data array; and terms in said first standardization matrix and said second standardization matrix have values that serve to standardize distribution shapes of the data with respect to said first and second variable, respectively.
-
-
38. A method for analyzing data obtained from multiple samples in a separation system that has a capability for separating components of a sample containing more than one component as a function of two different variables, said method comprising:
-
obtaining data representative of multiple samples from said system, said data being expressed as a function of said two variables; forming a data stack having successive levels, each level containing one of said data samples; forming a data array representative of a compilation of all of the data in said data stack; separating said data array into a series of matrixes, said matrixes being; a concentration matrix representative of concentration of each component in said sample; a first profile of the components as a function of said first variable; and a second profile of the components as a function of said second variable; and standardizing data representative of a sample by performing a data matrix multiplication of such data into the product of a first standardization matrix, the data itself, and a second standardization matrix, to form a standardized data matrix; wherein terms in said first standardization matrix and said second standardization matrix are determined by; applying a sample having known components to said apparatus; and selecting terms for said first standardization matrix and said second standardization matrix which cause data produced by said known components to be positioned properly with respect to said first variable and said second variable; and
which produce a smallest error in position of said data with respect to said first variable and said second variable in said standardized data matrix.
-
-
39. A method for analyzing data obtained from multiple samples in a separation system that has a capability for separating components of a sample containing more than one component as a function of two different variables, said method comprising:
-
obtaining data representative of multiple samples from said system, said data being expressed as a function of said two variables; forming a data stack having successive levels, each level containing one of said data samples; forming a data array representative of a compilation of all of the data in said data stack; and separating said data array into a series of matrixes, said matrixes being; a concentration matrix representative of concentration of each component in said sample; a first profile of the components as a function of said first variable; and a second profile of the components as a function of said second variable; wherein said system is a two-dimensional electrophoresis separation system;
said first variable is isoelectric point and said second variable is molecular weight.
-
-
40. A method for analyzing data obtained from multiple samples in a separation system that has a capability for separating components of a sample containing more than one component as a function of two different variables, said method comprising:
-
obtaining data representative of multiple samples from said system, said data being expressed as a function of said two variables; forming a data stack having successive levels, each level containing one of said data samples; forming a data array representative of a compilation of all of the data in said data stack; and separating said data array into a series of matrixes, said matrixes being; a concentration matrix representative of concentration of each component in said sample; a first profile of the components as a function of said first variable; and a second profile of the components as a function of said second variable; wherein one of said first variables and said second variable is mass associated with the mass axis of a mass spectrometer; and another one of said first variable and said second variable is that of a region on a protein chip having a plurality of protein affinity regions.
-
Specification