1. A computer-implemented method for analyzing a solution, the method comprising: melting a solution within a melting instrument by use of a heater of the melting instrument; measuring electro-optical (EO) radiation emitted while melting the solution by use of an EO sensor of the melting instrument as a function of a melting gradient, the measurements comprising experimental melting curve data, wherein the experimental melting curve data comprises a background EO radiation signal having a mathematical model; using a processor of a computing device to calculate function fitting parameters of a deviation function, wherein the function fitting parameters are calculated to conform the mathematical model of the background EO signal to the experimental melting curve data as a function of the melting gradient; and using the deviation function to determine whether the solution comprises a particular nucleic acid by analyzing the deviation function to determine if the experimental melting curve data comprises a melt transition.