An existing axisymmetric fluid/structure-interaction (FSI) model of the spinal cord, pia mater, subarachnoid space, and dura mater in the presence of syringomyelia and subarachnoid-space stenosis was modified to include porous solids. This allowed investigation of a hypothesis for syrinx fluid ingress from cerebrospinal fluid (CSF). Gross model deformation was unchanged by the addition of porosity, but pressure oscillated more in the syrinx and the subarachnoid space below the stenosis. The poroelastic model still exhibited elevated mean pressure in the subarachnoid space below the stenosis and in the syrinx. With realistic cord permeability, there was slight oscillatory shunt flow bypassing the stenosis via the porous tissue over the syrinx. Weak steady streaming flow occurred in a circuit involving craniocaudal flow through the stenosis and back via the syrinx. Mean syrinx volume was scarcely altered when the adjacent stenosis bisected the syrinx, but increased slightly when the syrinx was predominantly located caudal to the stenosis. The fluid content of the tissues over the syrinx oscillated, absorbing most of the radial flow seeping from the subarachnoid space so that it did not reach the syrinx. To a lesser extent, this cyclic swelling in a boundary layer of cord tissue just below the pia occurred all along the cord, representing a mechanism for exchange of interstitial fluid (ISF) and cerebrospinal fluid which could explain recent tracer findings without invoking perivascular conduits. The model demonstrates that syrinx volume increase is possible when there is subarachnoid-space stenosis and the cord and pia are permeable.
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January 2017
Research-Article
A Poroelastic Fluid/Structure-Interaction Model of Cerebrospinal Fluid Dynamics in the Cord With Syringomyelia and Adjacent Subarachnoid-Space Stenosis
C. D. Bertram
,
C. D. Bertram
School of Mathematics and Statistics,
University of Sydney,
New South Wales 2006, Australia
University of Sydney,
New South Wales 2006, Australia
Search for other works by this author on:
M. Heil
M. Heil
School of Mathematics,
University of Manchester,
Manchester M13 9PL, UK
University of Manchester,
Manchester M13 9PL, UK
Search for other works by this author on:
C. D. Bertram
School of Mathematics and Statistics,
University of Sydney,
New South Wales 2006, Australia
University of Sydney,
New South Wales 2006, Australia
M. Heil
School of Mathematics,
University of Manchester,
Manchester M13 9PL, UK
University of Manchester,
Manchester M13 9PL, UK
Manuscript received March 16, 2016; final manuscript received August 21, 2016; published online November 4, 2016. Assoc. Editor: C. Alberto Figueroa.
J Biomech Eng. Jan 2017, 139(1): 011001 (10 pages)
Published Online: November 4, 2016
Article history
Received:
March 16, 2016
Revised:
August 21, 2016
Citation
Bertram, C. D., and Heil, M. (November 4, 2016). "A Poroelastic Fluid/Structure-Interaction Model of Cerebrospinal Fluid Dynamics in the Cord With Syringomyelia and Adjacent Subarachnoid-Space Stenosis." ASME. J Biomech Eng. January 2017; 139(1): 011001. https://doi.org/10.1115/1.4034657
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