@CONFERENCE\{IMM2007-05222, author = "B. B{\"{o}}dvarsson and L. K. Hansen and C. Svarer and G. M. Knudsen", title = "{NMF} on positron emission tomography", year = "2007", keywords = "{NMF,} Positron emission tomography, Brain", booktitle = "International conference on acoustics, speech and signal processing 2007, {ICASSP}.", volume = "", series = "", editor = "", publisher = "", organization = "", address = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/5222-full.html", abstract = "In positron emission tomography, kinetic modelling of brain tracer uptake, metabolism or binding requires knowledge of the cerebral input function. Traditionally, this is achieved with arterial blood sampling in the arm or as shown in [1] by non-invasive {K-}means clustering. We propose anothermethod to estimate time-activity curves (TAC) extracted directly from dynamic positron emission tomography (PET) scans by nonnegative matrix factorization (NMF). Since the scaling of the basis curves is lost in the {NMF} the estimated {TAC} is scaled by a vector A which is calculated from the {NMF} solution. The method is tested on a [18F]-Altanserin tracer ligand data set consisting of 5 healthy subjects. The results from using {K-}means clustering and {NMF} are compared to a sampled arterial {TAC}. The comparison is done by calculating the correlation with the arterial sampled {TAC}." }