Existence and uniqueness of solutions to a mathematical model of the urine concentrating mechanism

DOI10.1016/0025-5564(87)90092-7zbMath0617.92006OpenAlexW2052203442MaRDI QIDQ1088940

Harold E. Layton

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0025-5564(87)90092-7

zbMATH Keywords

contraction mapping principleexistence and uniqueness of solutionsMichaelis-Menten kineticsHenle's loopsfirst-order kineticsSchauder principleactive transport of NaClkidney functionmammalian urine concentrating mechanismreabsorption kinetics

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Physiological flows (76Z05) Singular integral equations (45E99) Integral transforms, operational calculus (44A99) Physiological, cellular and medical topics (92Cxx)

Related Items (1)

Role of structural organization in the urine concentrating mechanism of an avian kidney

Cites Work

• Unnamed Item
• Unnamed Item
• Solution of a multinephron, multisolute model of the mammalian kidney by Newton and continuation methods
• Concentrating engines and the kidney. IV. Mass balance in a single stage of a multistage model of the renal medulla
• Renal countercurrent system: Role of collecting duct convergence and pelvic urea predicted from a mathematical model
• Solute concentration in the kidney. I: A model of the renal medulla and its limit cases
• Solute concentration in the kidney. II: Input-output studies on a central core model
• Model of solute and water movement in the kidney.
• Quantitative Analysis of Mass and Energy Balance in Non-Ideal Models of the Renal Counterflow System

This page was built for publication: Existence and uniqueness of solutions to a mathematical model of the urine concentrating mechanism