title: A Mathematical Model for the First-Pass Dynamics of Antibiotics Acting on the Cardiovascular System.
abstract: We present a preliminary first-pass dynamic model for delivery of drug compounds to the lungs and heart. We use a compartmental mass balance approach to develop a system of nonlinear differential equations for mass accumulated in the heart as a result of intravenous injection. We discuss sensitivity analysis as well as methodology for minimizing mass in the heart while maximizing mass delivered to the lungs on a first circulatory pass.
authors.affiliation: Center for Research in Scientific Computation (Box 8212), North Carolina State University, Raleigh, NC 27695.
authors.forename: H T
authors.initials: HT
authors.lastname: Banks
authors.forename: Kathleen
authors.initials: K
authors.lastname: Holm
authors.forename: Nathan C
authors.initials: NC
authors.lastname: Wanner
authors.forename: Ariel
authors.initials: A
authors.lastname: Cintrón-Arias
authors.forename: Grace M
authors.initials: GM
authors.lastname: Kepler
authors.forename: Jeffrey D
authors.initials: JD
authors.lastname: Wetherington