An indirect method for in vivo T₂ mapping of [1-¹³ C] pyruvate using hyperpolarized ¹³ C CSI

An indirect method for in vivo T₂ mapping of ¹³ C-labeled metabolites using T₂ and T₂ * information of water protons obtained a priori is proposed. The T₂ values of ¹³ C metabolites are inferred using the relationship to T₂ ' of coexisting ¹ H and the T₂ * of ¹³ C metabolites, which is measured using routine hyperpolarized ¹³ C CSI data. The concept is verified with phantom studies. Simulations were performed to evaluate the extent of T₂ estimation accuracy due to errors in the other measurements. Also, bias in the ¹³ C T₂ * estimation from the ¹³ C CSI data was studied. In vivo experiments were performed from the brains of normal rats and a rat with C6 glioma. Simulation results indicate that the proposed method provides accurate and unbiased ¹³ C T₂ values within typical experimental settings. The in vivo studies found that the estimated T₂ of [1-¹³ C] pyruvate using the indirect method was longer in tumor than in normal tissues and gave values similar to previous reports. This method can estimate localized T₂ relaxation times from multiple voxels using conventional hyperpolarized ¹³ C CSI and can potentially be used with time resolved fast CSI.