An efficient parallel algorithm for solving \(n\)-nephron models of the renal inner medulla

DOI10.1016/0898-1221(94)00135-9zbMath0798.92014OpenAlexW2028796080MaRDI QIDQ1334681

V. Pereyra

Publication date: 25 September 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00135-9

zbMATH Keywords

ordinary differential equationsrenal inner medulladistributed-memory parallel machinesmultinephron modelrat kidney

Mathematics Subject Classification ID

Physiology (general) (92C30) Parallel numerical computation (65Y05) Computational methods for problems pertaining to biology (92-08) Software, source code, etc. for problems pertaining to biology (92-04)

Related Items

Numerical solution of differential and algebraic equations for a flow model with diffusion, Parallel algorithms for multinephron renal medullary models, Renal concentrating mechanism: Central core and vasa recta models, 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.

Cites Work

• Solution of a multinephron, multisolute model of the mammalian kidney by Newton and continuation methods
• Efficient solution of differential equations for kidney concentrating mechanism analyses
• A note on solution of large sparse systems of nonlinear equations
• A comparison of multinephron and shunt models of the renal concentrating mechanism
• Model of solute and water movement in the kidney.
• Quantitative Analysis of Mass and Energy Balance in Non-Ideal Models of the Renal Counterflow System