title: Mathematical analysis of multisolute renal flow in a single nephron model of the kidney.
abstract: A single nephron model, which includes the Bowman's space, Cortical interstitium, and Pelvis as well-stirred baths, is investigated. A boundary value problem, which allows for pelvic reflux, is established for the fluid-multisolute flow in the nephron. The implicit function theorem is used to establish the existence and uniqueness of a solution of the boundary value problem for the case of small permeability coefficients and transport rates.
authors.affiliation: Department of Mathematics and Statistics, Mississippi State University, MS 39762.
authors.forename: J B
authors.initials: JB
authors.lastname: Garner
mesh_terms: D000818:Animals; D007672:Kidney Cortex / Q000098:blood supply; D007679:Kidney Medulla / Q000098:blood supply; D008433:Mathematics; D008954:Models, Biological; D009399:Nephrons / Q000098:blood supply*; D012079:Renal Circulation