It was generally accepted that the rate of formation of cerebrospinal °uid
(CSF) is independent of intraventricular pressure [26], until A. Sahar and
a host of other scientists challenged this belief. A. Sahar substantiated his
belief that the rate of (CSF) formation actually depends on intraventricular
pressure, see A. Sahar, 1971 [26].
In this work we show that CSF formation depends on some other factors,
including the intraventricular pressure. For the purpose of this study, we
used the capillary blood °ow model proposed by K.Boryczko et. al., [5] in
which blood °ow in the microvessels was modeled as a two-phase °ow; the
solid and the liquid volume phase.
CSF is formed from the blood plasma [23] which we assume to be in the
liquid volume phase. CSF is a Newtonian °uid [2, 23].
The principles and methods of e®ective area" developed by N. Sauer and
R. Maritz [21] for studying the penetration of °uid into permeable walls was
used to investigate the ¯ltrate momentum °ux from the intracranial capillary
wall through the pia mater and epithelial layer of the choroid plexus into the
subarachnoid space. We coupled the dynamic boundary equation with the
Navier-Stoke's constitutive equation for incompressible °uid, representing the
°uid °ow in the liquid volume phase in the capillary to arrive at our model. / Mathematical sciences / M.Sc.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:unisa/oai:uir.unisa.ac.za:10500/714 |
| Date | 10 1900 |
| Creators | Faleye, Sunday |
| Contributors | Maritz, R. |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Dissertation |
| Format | 1 online resource (viii, 80 leaves) |
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