Some singular perturbation problems in renal models

DOI10.1016/0022-247X(87)90227-7zbMath0676.76104MaRDI QIDQ1123102

R. Bruce Kellogg

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundary conditionstransport of solutessingular perturbation problemsingular perturbation limitcapillariesnephronsequilibrium of concentrationsMathematical models of the kidney

Mathematics Subject Classification ID

Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (7)

Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney ⋮ Distributed solute and water reabsorption in a central core model of the renal medulla ⋮ Existence and uniqueness of solutions in general multisolute renal flow problems ⋮ Role of structural organization in the urine concentrating mechanism of an avian kidney ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations ⋮ The kidney model as an inverse problem ⋮ An efficient numerical method for distributed-loop models of the urine concentrating mechanism.

Cites Work

• Numerical solution of multinephron Kidney equations
• Diffusion and convection in a family of tubes
• Mathematical analysis of a model for the renal concentrating mechanism
• Asymptotic Analysis of Singular Singularly Perturbed Boundary Value Problems
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