Mathematical analysis of a model for the renal concentrating mechanism

DOI10.1016/0025-5564(83)90073-1zbMath0521.92007OpenAlexW2074898549MaRDI QIDQ1055704

R. Bruce Kellogg, J. B. Garner, John L. Stephenson

Publication date: 1983

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(83)90073-1

zbMATH Keywords

existence of solutionsdegreesystem of ordinary differential equationshomotopyrenal medullamultiple stable solutionscentral corecollecting ductcounterflow systemHenle limbslimiting case of infinite water permeabilityrenal concentrating mechanism

Mathematics Subject Classification ID

Physiological flows (76Z05) Physiological, cellular and medical topics (92Cxx)

Related Items (9)

On the metabolic pump in the renal medulla ⋮ The central core model of the renal medulla: A particular solution ⋮ Some singular perturbation problems in renal models ⋮ Properties of the solutions to certain equations arising in the central core model of the renal medulla ⋮ On a simplified model of the renal medulla ⋮ Solution of a multinephron, multisolute model of the mammalian kidney by Newton and continuation methods ⋮ A complete steady state model of solute and water transport in the kidney ⋮ A particular exact solution to the central core model of the renal medulla ⋮ The central core model of the renal medulla: An approximate solution

Cites Work

• Unnamed Item
• Unnamed Item
• Diffusion and convection in a family of tubes
• Analysis of the equations of renal network flows
• Quantitative Analysis of Mass and Energy Balance in Non-Ideal Models of the Renal Counterflow System

This page was built for publication: Mathematical analysis of a model for the renal concentrating mechanism