Existence and uniqueness of solutions in general multisolute renal flow problems

Journal of Mathematical Biology
J B Garner, R B Kellogg

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.

References

Jan 1, 1978·Bulletin of Mathematical Biology·J L Stephenson
Dec 18, 1982·Lancet·R L Jamison, C R Robertson
Jan 1, 1982·The Journal of Clinical Investigation·R E OliverR L Jamison
Jan 1, 1980·Bulletin of Mathematical Biology·J B Garner, R B Kellogg

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