Generation of continuous mathematical model for common features of a subject group
First Claim
1. A computer-implemented method for generating a continuous mathematical model of a feature common to subjects in a subject group, wherein the subjects are biological subjects and the feature is a biological feature, the method comprising:
- determining a plurality of sample data sets corresponding to at least one physiological characteristic of the subjects in the subject group;
determining, from the sample data sets, a plurality of values for one or more mathematical parameters corresponding to one or more basis functions for the continuous mathematical model;
determining, from the values for the one or more mathematical parameters, one or more distribution-function parameters for specifying one or more distribution functions for the one or more mathematical parameters, wherein a summation of the one or more basis functions multiplied by sampled values of the one or more distribution functions provides the continuous mathematical model of the feature;
simulating the feature by generating sampled values of the one or more distribution functions by computer;
calculating at least one statistical property of the simulated feature for characterizing the at least one physiological characteristic of the subjects in the subject group; and
saving the at least one statistical property of the simulated feature.
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Abstract
A method for generating a continuous mathematical model of a feature common to subjects in a subject group includes selecting a sample data set from each subject in the subject group, selecting a set of expansion functions to be used in the representation of the sample data set, mathematically expanding each member of the sample data set in the form of a summation of results of multiplying each the expansion function in the set of expansion functions by a different mathematical parameter wherein the expanding determines a value for each of the different mathematical parameters, deriving a corresponding distribution function for each of the mathematical parameters, and generating the continuous mathematical model of the feature from the derived distribution functions and the expansion functions. In this way, the model is continuous in time, incorporates dependencies between various parameters, and allows for creation of simulated subjects having pertinent features occurring in real subjects.
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Citations
53 Claims
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1. A computer-implemented method for generating a continuous mathematical model of a feature common to subjects in a subject group, wherein the subjects are biological subjects and the feature is a biological feature, the method comprising:
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determining a plurality of sample data sets corresponding to at least one physiological characteristic of the subjects in the subject group; determining, from the sample data sets, a plurality of values for one or more mathematical parameters corresponding to one or more basis functions for the continuous mathematical model; determining, from the values for the one or more mathematical parameters, one or more distribution-function parameters for specifying one or more distribution functions for the one or more mathematical parameters, wherein a summation of the one or more basis functions multiplied by sampled values of the one or more distribution functions provides the continuous mathematical model of the feature; simulating the feature by generating sampled values of the one or more distribution functions by computer; calculating at least one statistical property of the simulated feature for characterizing the at least one physiological characteristic of the subjects in the subject group; and saving the at least one statistical property of the simulated feature. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19)
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20. An apparatus for generating a continuous mathematical model of a feature common to subjects in a subject group, wherein the subjects are biological subjects and the feature is a biological feature, the apparatus comprising a computer for executing computer instructions, wherein the computer includes computer instructions for:
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determining a plurality of sample data sets corresponding to at least one physiological characteristic of the subjects in the subject group; determining, from the sample data sets, a plurality of values for one or more mathematical parameters corresponding to one or more basis functions for the continuous mathematical model; determining, from the values for the one or more mathematical parameters, one or more distribution-function parameters for specifying one or more distribution functions for the one or more mathematical parameters, wherein a summation of the one or more basis functions multiplied by sampled values of the one or more distribution functions provides the continuous mathematical model of the feature; simulating the feature by generating sampled values of the one or more distribution functions by computer; calculating at least one statistical property of the simulated feature for characterizing the at least one physiological characteristic of the subjects in the subject group; and saving the at least one statistical property of the simulated feature. - View Dependent Claims (21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36)
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37. A computer-readable medium that stores a computer program for generating a continuous mathematical model of a feature common to subjects in a subject group, wherein the subjects are biological subjects and the feature is a biological feature, the computer program comprising instructions for:
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determining a plurality of sample data sets corresponding to at least one physiological characteristic of the subjects in the subject group; determining, from the sample data sets, a plurality of values for one or more mathematical parameters corresponding to one or more basis functions for the continuous mathematical model; determining, from the values for the one or more mathematical parameters, one or more distribution-function parameters for specifying one or more distribution functions for the one or more mathematical parameters, wherein a summation of the one or more basis functions multiplied by sampled values of the one or more distribution functions provides the continuous mathematical model of the feature; simulating the feature by generating sampled values of the one or more distribution functions by computer; calculating at least one statistical property of the simulated feature for characterizing the at least one physiological characteristic of the subjects in the subject group; and saving the at least one statistical property of the simulated feature. - View Dependent Claims (38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53)
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Specification