title: The derivation of the gamma-variate relationship for tracer dilution curves.
abstract: Tracer dilution curves are useful for describing blood flow through vessels and organs. Empirically determined curves for flow through nonbranching vessels have been shown to correspond to a mathematical function called the gamma variate. This paper presents a derivation of the gamma-variate relationship, discusses some of the properties of the gamma variate and its use in problems involving organ blood flow and recirculation.
mesh_terms: D006801:Humans; D008433:Mathematics; D008955:Models, Cardiovascular; D011338:Probability Theory; D011865:Radioisotope Dilution Technique; D012039:Regional Blood Flow