Computational techniques for inverse problems in kidney modeling

DOI10.1016/0893-9659(96)00036-5zbMath0852.92005OpenAlexW2067504441WikidataQ127955623 ScholiaQ127955623MaRDI QIDQ1921195

Sunyoung Kim, Reginald P. Tewarson

Publication date: 12 November 1996

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

Full work available at URL: https://doi.org/10.1016/0893-9659(96)00036-5

zbMATH Keywords

inverse problemSobolev normwaterill-conditioningregularization methodsill-posedpermeabilitiesconcentrating mechanismcentration profilesLevenberg-Tikhonov-Marquard methodmammalian kidneyssolutes

Mathematics Subject Classification ID

Physiology (general) (92C30) Applications to the sciences (65Z05) 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 ⋮ Preferential interaction and inverse problem algorithms in models of renal concentrating mechanism

Uses Software

• Regularization tools

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient solution of differential equations for kidney concentrating mechanism analyses
• Inverse problem for kidney concentrating mechanism
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Models of kidney concentrating mechanism: Relationship between core concentrations and tube permeabilities
• Regularization, GSVD and truncated GSVD
• Use of Smoothing and Damping Techniques in the Solution of Nonlinear Equations
• A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems

This page was built for publication: Computational techniques for inverse problems in kidney modeling