A Dynamic Numerical Method for Models of the Urine Concentrating Mechanism

DOI10.1137/S0036139993252864zbMath0833.92004OpenAlexW1970391097MaRDI QIDQ4858800

E. Bruce Pitman, Mark A. Knepper, Harold E. Layton

Publication date: 20 March 1996

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139993252864

zbMATH Keywords

second-order convergencekidneylarge-scale modelrenal modelsurine concentrating mechanism

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) Initial value problems for first-order hyperbolic systems (35L45) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08)

Related Items (9)

A dynamic numerical method for models of renal tubules ⋮ Signal transduction in a compliant short loop of Henle ⋮ An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney ⋮ Parallel algorithms for multinephron renal medullary models ⋮ Modeling transport and flow regulatory mechanisms of the kidney ⋮ Feedback-mediated dynamics in a model of a compliant thick ascending limb ⋮ A METHODOLOGY FOR TRACKING SOLUTE DISTRIBUTION IN A MATHEMATICAL MODEL OF THE KIDNEY ⋮ Multi-nephron and multi-vasa recta models of the inner medullary rental concentrating mechanism ⋮ An efficient numerical method for distributed-loop models of the urine concentrating mechanism.

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