A new pharmacokinetic-model-based constrained reconstruction method CoUNFOLD is introduced for hyperpolarized 13C pyruvate imaging. This method extended classic UNFOLD method by introducing model constraint which described the signal evolution of multiple substrates. CoUNFOLD successfully accelerated the data acquisition, and the reconstruction was implemented on single channel. An in silico experiment demonstrated the accuracy of reconstruction at a reduction factor of 2. The quantitative estimation of the conversion ratio from pyruvate to lactate was achieved with high accuracy when peak pyruvate SNR was as low as 20
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