Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 1988;26(4):455-64.
doi: 10.1007/BF00276373.

Existence and uniqueness of solutions in general multisolute renal flow problems

J B Garner  1 , R B Kellogg
Affiliations

Existence and uniqueness of solutions in general multisolute renal flow problems

J B Garner et al. J Math Biol. 1988.

Abstract

This paper considers systems of differential equations that describe flows in renal networks. The flow geometry is of the type that occurs in modelling the renal medulla. The unknowns in the system include the flow rate, the hydrostatic pressure, and the concentrations of the various solutes. Existence and uniqueness of solutions of the appropriate boundary value problems are established, in the case of small permeability coefficients and transport rates, or large diffusion coefficients and small resistance to flow constants.

PubMed Disclaimer

References

    1. Bull Math Biol. 1978;40(2):211-21 - PubMed
    1. Bull Math Biol. 1980;42(3):295-304 - PubMed

Publication types