A dynamic numerical method for models of renal tubules

DOI10.1007/BF02460470zbMath0805.92009OpenAlexW4245744275WikidataQ52377934 ScholiaQ52377934MaRDI QIDQ1337333

E. Bruce Pitman, Harold E. Layton

Publication date: 2 February 1995

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460470

zbMATH Keywords

second-order convergencesteady-state solutionslarge-scale simulationsconcentration profilesexplicit methodrenal tubuleessentially non-oscillatorydynamic solutionsrenal counterflow systemENO methodology

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications to the sciences (65Z05) Physiological flow (92C35) Hyperbolic equations and hyperbolic systems (35L99) Computational methods for problems pertaining to biology (92-08)

Related Items (9)

Numerical simulation of propagating concentration profiles in renal tubules ⋮ Tubuloglomerular feedback signal transduction in a short loop of Henle ⋮ Feedback-mediated dynamics in a model of a compliant thick ascending limb ⋮ Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney ⋮ Effect of tubular inhomogeneities on filter properties of thick ascending limb of Henle's loop ⋮ Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs ⋮ A METHODOLOGY FOR TRACKING SOLUTE DISTRIBUTION IN A MATHEMATICAL MODEL OF THE KIDNEY ⋮ Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons ⋮ An efficient numerical method for distributed-loop models of the urine concentrating mechanism.

Cites Work

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• Numerical solution of multinephron Kidney equations
• Solution of a multinephron, multisolute model of the mammalian kidney by Newton and continuation methods
• Some results on uniformly high-order accurate essentially nonoscillatory schemes
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Numerical solution of a Kidney model by multiple shooting
• Numerical methods for three-dimensional models of the urine concentrating mechanism
• Computing interface motion in compressible gas dynamics
• Numerical simulation of propagating concentration profiles in renal tubules
• Accurate partial difference methods. I: Linear Cauchy problems
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Quantitative Analysis of Mass and Energy Balance in Non-Ideal Models of the Renal Counterflow System
• A Dynamic Numerical Method for Models of the Urine Concentrating Mechanism

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