RT Journal Article
T1 A model for the oscillatory flow in the cerebral aqueduct
A1 Sincomb, Stephanie
A1 Coenen, Wilfried
A1 Sánchez Pérez, Antonio Luis
A1 Lasheras, Juan Carlos
AB This paper addresses the pulsating motion of cerebrospinal fluid in the aqueduct ofSylvius, a slender canal connecting the third and fourth ventricles of the brain. Specificattention is given to the relation between the instantaneous values of the flow rate andthe interventricular pressure difference, needed in clinical applications to enable indirectevaluations of the latter from direct magnetic resonance measurements of the former.An order of magnitude analysis accounting for the slenderness of the canal is usedin simplifying the flow description. The boundary layer approximation is found to beapplicable in the slender canal, where the oscillating flow is characterized by stroke lengthscomparable to the canal length and periods comparable to the transverse diffusion time. Byway of contrast, the flow in the non-slender opening regions connecting the aqueduct withthe two ventricles is found to be inviscid and quasi-steady in the first approximation. Theresulting simplified description is validated by comparison with results of direct numericalsimulations. The model is used to investigate the relation between the interventricularpressure and the stroke length, in parametric ranges of interest in clinical applications.
SN 0022-1120
YR 2020
FD 2020-07-20
LK https://hdl.handle.net/10016/35514
UL https://hdl.handle.net/10016/35514
LA eng
NO The work of A.L.S. was supported by the National Science Foundation through grant no. 1853954. The work of W.C. was supported by the Convenio Plurianual Comunidad de Madrid Universidad Carlos III de Madrid' through grant no. CSFLOW-CM-UC3M.
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RD 1 sept. 2024