Mathematics of blood analysis

Abstract

Eastman Kodak produces a variety of immuno-assays, chemical tests that indicate the amounts of certain species in human blood. They are used to regulate drug dosage levels, or to detect the presence of viruses. They are based on chemical systems in which any one of some collection of m types of hormones bind to any one of n types of proteins. The hormones are called ligands and the proteins are called binding molecules. On March 13, 1992 David S. Ross from Eastman Kodak presented a dynamical system model of ligand-binding kinetics which has been developed and studied by Rich Dempsey, John Hamilton, Kam—Chuen Ng and himself (all from the Kodak Applied Mathematics and Statistics Group) and Jack Daiss and Bill Sutherland (at Clinical Product Division of Kodak); this work is in progress [1].