Models of kidney concentrating mechanism: Relationship between core concentrations and tube permeabilities

DOI10.1016/0893-9659(93)90081-WzbMath0792.92011OpenAlexW1980224163MaRDI QIDQ1324495

Reginald P. Tewarson

Publication date: 26 July 1994

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

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90081-w

zbMATH Keywords

inverse problemnonlinear least squares problemcentral corecollecting ductHenle's loopkidney concentrating mechanisminner medullary shunt modelsalt and urea concentrations

Mathematics Subject Classification ID

Physiological flows (76Z05) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08)

Related Items (4)

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

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
• A quasi-Gauss-Newton method for solving nonlinear algebraic equations
• A quasi-Newton method for solving nonlinear algebraic equations
• A note on solution of large sparse systems of nonlinear equations
• Inverse problem for kidney concentrating mechanism
• Use of physiological connectivity in solving renal concentrating mechanism equations
• Solution of full and deficient rank linear equations

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