A vector field perfusion (VFP) approach is proposed to quantify three dimensional blood flow in tissue. The traditional lumped-element Kety equation for characterizing perfusion is fundamentally flawed with the indetermination of arterial input function. The standard continuity equation based on velocity vector field is proposed for fitting tomographic data. Preliminary analysis of dynamic contrast enhanced MRI and arterial spin labelled MRI of the brain demonstrate the feasibility of this VFP approach.
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