A mathematical modeling technique for renal counterflow systems

DOI10.1016/0893-9659(93)90018-IzbMath0770.76078OpenAlexW2155289518MaRDI QIDQ1802422

Peter Lory

Publication date: 9 September 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90018-i

zbMATH Keywords

renal concentrating mechanismshunt flow techniquetubules

Mathematics Subject Classification ID

Physiological flows (76Z05)

Related Items (1)

Multi-nephron and multi-vasa recta models of the inner medullary rental concentrating mechanism

Cites Work

• Unnamed Item
• Numerical solution of multinephron Kidney equations
• The kidney model as an inverse problem
• Using quasi-Newton methods for kidney modeling equations
• Solution of a multinephron, multisolute model of the mammalian kidney by Newton and continuation methods
• Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
• Renal countercurrent system: Role of collecting duct convergence and pelvic urea predicted from a mathematical model
• Numerical methods for three-dimensional models of the urine concentrating mechanism
• Numerical treatment of ordinary differential equations by extrapolation methods

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