Numerical simulation of propagating concentration profiles in renal tubules

DOI10.1007/BF02460471zbMath0805.92010OpenAlexW4245368031WikidataQ52377930 ScholiaQ52377930MaRDI QIDQ1337334

E. Bruce Pitman, Leon C. Moore, 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/bf02460471

zbMATH Keywords

Fourier analysisconcentration profilesrenal tubules

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) 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 (4)

A dynamic numerical method for models of renal tubules ⋮ Effect of tubular inhomogeneities on filter properties of thick ascending limb of Henle's loop ⋮ 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

• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A dynamic numerical method for models of renal tubules
• Accurate partial difference methods. I: Linear Cauchy problems
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Tubuloglomerular feedback in a dynamic nephron
• Systems of conservation laws
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