doi: 10.1007/BF00178780.
Mathematical analysis of multisolute renal flow in a single nephron model of the kidney
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- PMID: 2332708
- DOI: 10.1007/BF00178780
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Mathematical analysis of multisolute renal flow in a single nephron model of the kidney
J Math Biol.
1990.
Abstract
A single nephron model, which includes the Bowman's space, Cortical interstitium, and Pelvis as well-stirred baths, is investigated. A boundary value problem, which allows for pelvic reflux, is established for the fluid-multisolute flow in the nephron. The implicit function theorem is used to establish the existence and uniqueness of a solution of the boundary value problem for the case of small permeability coefficients and transport rates.
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