This study demonstrates the feasibility of low rank compressed sensing and non-uniform undersampled non-linear FID fitting for time efficient sodium TQTPPI measurements. In simulations, undersampling factors of up to 5 resulted in less than 10% deviation from the ground truth for all parameters. This accuracy was confirmed in measurement data of agarose and protein samples. Hence, a measurement time reduction up to a factor of 5 is possible without significantly reducing the accuracy of the fit parameters. Thus, CS allows for time efficient TQTPPI measurements to investigate cellular processes as well as isolated sodium protein interactions.
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