Efficient solution of differential equations for kidney concentrating mechanism analyses

DOI10.1016/0893-9659(91)90078-AzbMath0744.65037OpenAlexW2001917079MaRDI QIDQ1190651

Reginald P. Tewarson, H. Wang, John L. Stephenson, J. Frank Jen

Publication date: 26 September 1992

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(91)90078-a

zbMATH Keywords

kidney concentrating mechanismlarge systems of non-linear algebraic equationsModel connectivitymultipoint boundary value differential equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Classical flows, reactions, etc. in chemistry (92E20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism ⋮ An efficient parallel algorithm for solving \(n\)-nephron models of the renal inner medulla ⋮ An explicit method for solving flows of ODE ⋮ Parallel algorithms for multinephron renal medullary models ⋮ Renal concentrating mechanism: Central core and vasa recta models ⋮ Computational techniques for inverse problems in kidney modeling ⋮ Numerical solutions of differential equations for renal concentrating mechanism in innner medullary vasa recta models ⋮ Efficient solution of differential equations for kidney concentrating mechanism analyses ⋮ Explicitly solving vectorial ODEs ⋮ A comparison of multinephron and shunt models of the renal concentrating mechanism ⋮ Multi-nephron and multi-vasa recta models of the inner medullary rental concentrating mechanism ⋮ Inverse problem for kidney concentrating mechanism ⋮ Models of kidney concentrating mechanism: Relationship between core concentrations and tube permeabilities

Cites Work

• Solution of a multinephron, multisolute model of the mammalian kidney by Newton and continuation methods
• Efficient solution of differential equations for kidney concentrating mechanism analyses
• A note on solution of large sparse systems of nonlinear equations
• Use of physiological connectivity in solving renal concentrating mechanism equations

This page was built for publication: Efficient solution of differential equations for kidney concentrating mechanism analyses