The effects of hydrostatic pressure and wall elasticity on standing-gradient (osmotically driven) flow in physiological tubules

Authors
Mong, Christopher Chsiu
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Other Contributors
Odell, Garrett M.
Boyce, William E.
Flaherty, J. E., 1943-
Johnson, William H.
Issue Date
1976-08
Keywords
Mathematics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
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Abstract
The movement of water and salt through a layer or layers of epithelial cells had been attributed to standing gradient flows along long narrow, extracellular channels that are common structural features of epithelial membranes in studies by Diamond and Tormey (1967). Mathematical models developed for such a system had been limited to channels with rigid walls while the water outflux due to the presence of hydrostatic pressure was ignored. To remedy such omissions, a hydrodynamic model is developed to describe the coupled water and solute flow in a long channel with elastic walls which is closed at one end and open at the other. The governing equations take into account the elasticity of the channel wall which is stretched by hydrostatic pressure and water leakage due to hydrostatic pressure difference between the interior and exterior o£ the channe1, at the same time retaining the one-dimensional properties used in the kinematic, model of Diamond and Bossert (1967) and Segel (1970).
Description
August 1976
School of Science
Department
Dept. of Mathematical Sciences
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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