Lumped-parameter model of renal hemodynamics
The blood flow through a porous and distensible vessel such as a glomerular capillary is studied using a lumped-parameter model, and based on simplified Navier-Stokes’ equations to derive the governing equations in the form of second-order hyperbolic partial differential equations in pressure. Furth...
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Format: | Theses and Dissertations |
Published: |
2008
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Online Access: | http://hdl.handle.net/10356/6197 |
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Institution: | Nanyang Technological University |
Summary: | The blood flow through a porous and distensible vessel such as a glomerular capillary is studied using a lumped-parameter model, and based on simplified Navier-Stokes’ equations to derive the governing equations in the form of second-order hyperbolic partial differential equations in pressure. Further modelling of the autoregulation of flow is performed based on a extravascular tissue-pressure model. Lumped-parameter model of a compliant, porous vescular compartment was studied through simplification of Navier-Stokes equation where hyperbolic second-order partial differential equations governing flow and pressure were derived. |
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