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This analytical framework utilizes non-invasive, continuous Raman spectroscopy measurements, and a kinetic model to calibrate the measurement system necessary to quantify the concentration of analytes within a sample. The framework does not need a priori training data from traditional “gold standard” measurements in order to development a calibration model. Rather, it calculates sample concentration information, equivalent to training data, by utilizing the initial spectroscopy measurement and the concentration profiles generated from the system kinetic model. This combination of inputs allows the frameworks to predict the concentration information of a dynamic sample over time, such as when glucose samples are taken immediately after meal ingestion.