Quantum method for fluorescence background removal in DNA melting analysis

1. A method for analyzing a melting profile of a nucleic acid sample, comprising

measuring the fluorescence of the nucleic acid sample as a function of temperature to produce a raw melting curve having a melting transition, the nucleic acid sample comprising a nucleic acid and a molecule that binds the nucleic acid to form a fluorescently detectable complex, the raw melting curve comprising a background fluorescence signal and a nucleic acid sample signal; and

separating the background signal from the nucleic acid sample signal by use of a quantum algorithm to generate a corrected melting curve, the corrected melting curve comprising the nucleic acid sample signal;

wherein separating includes using the following equation:

ln( I/I ref )= C (1/ T− 1/ T ref )

where:

T ref is a reference temperature, and

I ref is the reference fluorescence intensity of the fluorescent dye at the reference temperature; and

wherein the separating step includes rescaling an original x-axis and an original y-axis from the raw melting curve to:

x =(1/ T− 1/ T REF )(° K) and

y =ln( I/I REF ).

2. A method for analyzing a melting profile of a nucleic acid sample, comprising

measuring the fluorescence of the nucleic acid sample as a function of temperature to produce a raw melting curve having a melting transition, the nucleic acid sample comprising a nucleic acid and a molecule that binds the nucleic acid to form a fluorescently detectable complex, the raw melting curve comprising a background fluorescence signal and a nucleic acid sample signal; and

separating the background signal from the nucleic acid sample signal by use of a quantum algorithm to generate a corrected melting curve, the corrected melting curve comprising the nucleic acid sample signal;

wherein separating includes using the following equation:

ln( I/I ref )= C (1/ T− 1/ T ref )

where:

T ref is a reference temperature, and

I ref is the reference fluorescence intensity of the fluorescent dye at the reference temperature; and

further comprising adding an offset to the raw melting curve prior to the separating step.

3. A method for analyzing a melting profile of a nucleic acid sample, comprising

measuring the fluorescence of the nucleic acid sample as a function of temperature to produce a raw melting curve having a melting transition, the nucleic acid sample comprising a nucleic acid and a molecule that binds the nucleic acid to form a fluorescently detectable complex, the raw melting curve comprising a background fluorescence signal and a nucleic acid sample signal; and

separating the background signal from the nucleic acid sample signal by use of a quantum algorithm to generate a corrected melting curve, the corrected melting curve comprising the nucleic acid sample signal;

wherein separating includes using the following equation:

ln( I/I ref )= C (1/ T− 1/ T ref )

where:

T ref is a reference temperature, and

I ref is the reference fluorescence intensity of the fluorescent dye at the reference temperature; and

wherein the nucleic acid sample is genotyped for known sequence variations and scanned for unknown sequence variations.

4. A method for analyzing a melting profile of a nucleic acid sample, comprising

measuring the fluorescence of the nucleic acid sample as a function of temperature to produce a raw melting curve having a melting transition, the nucleic acid sample comprising a nucleic acid and a molecule that binds the nucleic acid to form a fluorescently detectable complex, the raw melting curve comprising a background fluorescence signal and a nucleic acid sample signal; and

separating the background signal from the nucleic acid sample signal by use of a quantum algorithm to generate a corrected melting curve, the corrected melting curve comprising the nucleic acid sample signal;

ln( I/I ref )= C (1/ T− 1/ T ref )

where:

T ref is a reference temperature, and

I ref is the reference fluorescence intensity of the fluorescent dye at the reference temperature; and

wherein the sample further comprises an unlabeled probe, and the corrected melting curve comprises a melting transition for both a PCR product and an unlabeled probe.

5. A system for analyzing a nucleic acid sample comprising:

a heating system for heating a fluorescently detectable complex while monitoring its fluorescence, the complex comprising a nucleic acid and a fluorescent molecule indicative of double-stranded nucleic acids, the system being adapted to measure and to record sample temperature and sample fluorescence to determine sample fluorescence as a function of sample temperature to produce a melting profile, the melting profile comprising background fluorescence signal and sample fluorescence signal;

a central processing unit (CPU) for performing computer executable instructions; and

a memory storage device for storing computer executable instructions that when executed by the CPU cause the CPU to perform a process for analyzing the nucleic acid, wherein the process includes: separating a background fluorescence signal from the melting profile by means of a quantum algorithm to generate a corrected melting curve, the corrected melting curve comprising a sample signal;

wherein separating includes using the following equation:

ln( I/I ref )= C (1/ T− 1/ T ref )

where:

T ref is a reference temperature, and

I ref is the reference fluorescence intensity of the fluorescent dye at the reference temperature; and

wherein the separating includes rescaling an original x-axis and an original y-axis from the raw melting curve to:

x =(1/ T− 1/ T REF )(° K) and

y =ln( I/I REF ).

6. A system for analyzing a nucleic acid sample comprising:

a heating system for heating a fluorescently detectable complex while monitoring its fluorescence, the complex comprising a nucleic acid and a fluorescent molecule indicative of double-stranded nucleic acids, the system being adapted to measure and to record sample temperature and sample fluorescence to determine sample fluorescence as a function of sample temperature to produce a melting profile, the melting profile comprising background fluorescence signal and sample fluorescence signal;

a central processing unit (CPU) for performing computer executable instructions; and

a memory storage device for storing computer executable instructions that when executed by the CPU cause the CPU to perform a process for analyzing the nucleic acid, wherein the process includes: separating a background fluorescence signal from the melting profile by means of a quantum algorithm to generate a corrected melting curve, the corrected melting curve comprising a sample signal;

wherein separating includes using the following equation:

ln( I/I ref )= C (1/ T− 1/ T ref )

where:

T ref is a reference temperature, and

I ref is the reference fluorescence intensity of the fluorescent dye at the reference temperature;

wherein the separating further includes calculating a first line H(T), calculated before the melting transition, and a second line L(T), calculated after the melting transition; and

wherein the separating further includes rescaling the melting profile, H(T), and L(T) to the original x-axis and the original y-axis.