title: Numerical simulation of propagating concentration profiles in renal tubules.
abstract: Method-dependent mechanisms that may affect dynamic numerical solutions of a hyperbolic partial differential equation that models concentration profiles in renal tubules are described. Some numerical methods that have been applied to the equation are summarized, and ways by which the methods may misrepresent true solutions are analysed. Comparison of these methods demonstrates the need for thoughtful application of computational mathematics when simulating complicated time-dependent phenomena.
authors.affiliation: Department of Mathematics, State University of New York, Buffalo 14214-3093.
authors.forename: E B
authors.initials: EB
authors.lastname: Pitman
authors.forename: H E
authors.initials: HE
authors.lastname: Layton
authors.forename: L C
authors.initials: LC
authors.lastname: Moore
mesh_terms: D016477:Artifacts; D002137:Calculi; D002463:Cell Membrane Permeability; D003198:Computer Simulation; D004058:Diffusion; D005583:Fourier Analysis; D007671:Kidney Concentrating Ability; D007684:Kidney Tubules / Q000502:physiology*; D008954:Models, Biological