The paramagnetic relaxivity effect of oxygen on longitudinal relaxation rate (R1) has been explored as a means of inferring partial pressure of oxygen in the tissue or bodily fluids, and examining tissue R1 response to hyperoxic gas breathing is used in research techniques such as oxygen-enhanced MRI. We present a 3-compartment model for estimating the hyperoxia-induced changes in R1 of tissues depending on B0, SO2, blood volume, hematocrit, oxygen extraction fraction, and changes in blood and tissue PO2. It is easy for researchers to tailor this model to their tissue of interest by substituting preferred tissue oxygen diffusion/consumption models.
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