A Correlation Method of MR Contrast Perfusion Quantification Base on SVD Deconvolution

The concentration of indicator within tissue, Ctissue (t), is given by convolution of AIF, Caif(t), with the tissue impulse residue function R(t) . dt t R C CBF t C t aif tissue ) ( ) ( ) ( 0 τ τ − = [eq.2] Ctissue(t) and Caif(t) can be measured discretely by MR system. So eq.2 can be rewritten as eq.3, and for brevity, also can be rewritten as eq.4