Numerical solution of a Kidney model by multiple shooting

DOI10.1016/0025-5564(80)90125-XzbMath0429.92011MaRDI QIDQ1137956

Peter Lory

Publication date: 1980

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

system of nonlinear differential equationsmultiple shootingtwo-point boundary-value problemKidney modelrenal counterflow system

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Physiological flows (76Z05) Physiological, cellular and medical topics (92Cxx)

Related Items (9)

A dynamic numerical method for models of renal tubules ⋮ Enlarging the domain of convergence for multiple shooting by the homotopy method ⋮ On the use of Simpson's rule in renal models ⋮ A sparse matrix method for renal models ⋮ Numerical methods for three-dimensional models of the urine concentrating mechanism ⋮ Multi-nephron and multi-vasa recta models of the inner medullary rental concentrating mechanism ⋮ On accurate solution of renal models ⋮ Solution of a multinephron, multisolute model of the mammalian kidney by Newton and continuation methods ⋮ An efficient numerical method for distributed-loop models of the urine concentrating mechanism.

Cites Work

• Solute concentration in the kidney. II: Input-output studies on a central core model
• Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting
• Numerical treatment of ordinary differential equations by extrapolation methods
• Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
• Quantitative Analysis of Mass and Energy Balance in Non-Ideal Models of the Renal Counterflow System
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