Inverse problem for kidney concentrating mechanism

DOI10.1016/0893-9659(93)90102-SzbMath0784.92011MaRDI QIDQ1312043

Reginald P. Tewarson

Publication date: 26 January 1994

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

zbMATH Keywords

inverse problemmammalian kidneyconcentrationspermeabilitiesconcentrated urineround-off error tolerancevolume flows

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical optimization and variational techniques (65K10) Physiological flows (76Z05) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08) Numerical methods for ordinary differential equations (65L99)

Related Items

An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism, An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney, Maximum urine concentrating capability in a mathematical model of the inner medulla of the rat kidney, Computational techniques for inverse problems in kidney modeling, Preferential interaction and inverse problem algorithms in models of renal concentrating mechanism, Models of kidney concentrating mechanism: Relationship between core concentrations and tube permeabilities

Uses Software

• MINOS

Cites Work

• The kidney model as an inverse problem
• Using quasi-Newton methods for kidney modeling equations
• Efficient solution of differential equations for kidney concentrating mechanism analyses