An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney

DOI10.1016/j.mbs.2009.10.009zbMath1180.92019OpenAlexW2065456941WikidataQ43247900 ScholiaQ43247900MaRDI QIDQ846647

Anita T. Layton, Milagros C. Loreto

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2009.10.009

zbMATH Keywords

inverse problemmathematical modelcountercurrent systemkidneyNaCl transportosmoregulation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Physiology (general) (92C30) Physiological flow (92C35)

Cites Work

• An inverse algorithm for a mathematical model of an avian urine concentrating mechanism
• A region-based model framework for the rat urine concentrating mechanism
• An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism
• The kidney model as an inverse problem
• Inverse problem for kidney concentrating mechanism
• Models of kidney concentrating mechanism: Relationship between core concentrations and tube permeabilities
• Augmented Lagrangian algorithms based on the spectral projected gradient method for solving nonlinear programming problems
• An efficient numerical method for distributed-loop models of the urine concentrating mechanism.
• Computational techniques for inverse problems in kidney modeling
• Maximum urine concentrating capability in a mathematical model of the inner medulla of the rat kidney
• Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney
• Nonmonotone Spectral Projected Gradient Methods on Convex Sets
• A Dynamic Numerical Method for Models of the Urine Concentrating Mechanism

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