The driving force that causes enlargement of the ventricles remains unclear in case of normal pressure hydrocephalus (NPH). Both healthy and NPH brain conditions are characterized by a low transparenchymal pressure drop, typically 1 mm Hg. The present paper proposes an analytical model for normal and NPH brains using Darcy’s and Biot’s equations and simplifying the brain geometry to a hollow sphere with an internal and external radius. Self-consistent solutions for the large deformation problem that is associated with large ventricle dilation are presented and the notion of equilibrium or stable ventricle position is highlighted for both healthy and NPH conditions. The influence of different biomechanical parameters on the stable ventricle geometry is assessed and it is shown that both CSF seepage through the ependyma and parenchymal permeability play a key role. Although very simple, the present model is able to predict the onset and development of NPH conditions as a deviation from healthy conditions.
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April 2012
Research Papers
Ventricle Equilibrium Position in Healthy and Normal Pressure Hydrocephalus Brains Using an Analytical Model
J.-M. Drezet,
J.-M. Drezet
LSMX,Ecole Polytechnique,Fédérale de Lausanne,
Station 12, CH-1015, Lausanne, Switzerland
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Bryn A. Martin,
Bryn A. Martin
LHTC,Ecole Polytechnique,Fédérale de Lausanne,
Station 17, CH-1015, Lausanne, Switzerland
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S. Momjian
S. Momjian
University Hospitals of Geneva, University of Geneva,
Rue Gabrielle-Perret-Gentil 41211 Genève 14, Switzerland
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J.-M. Drezet
LSMX,Ecole Polytechnique,Fédérale de Lausanne,
Station 12, CH-1015, Lausanne, Switzerland
Bryn A. Martin
LHTC,Ecole Polytechnique,Fédérale de Lausanne,
Station 17, CH-1015, Lausanne, Switzerland
S. Momjian
University Hospitals of Geneva, University of Geneva,
Rue Gabrielle-Perret-Gentil 41211 Genève 14, Switzerland
J Biomech Eng. Apr 2012, 134(4): 041007 (10 pages)
Published Online: April 27, 2012
Article history
Received:
May 9, 2011
Revised:
March 25, 2012
Posted:
March 29, 2012
Published:
April 27, 2012
Online:
April 27, 2012
Citation
Shahim, K., Drezet, J., Martin, B. A., and Momjian, S. (April 27, 2012). "Ventricle Equilibrium Position in Healthy and Normal Pressure Hydrocephalus Brains Using an Analytical Model." ASME. J Biomech Eng. April 2012; 134(4): 041007. https://doi.org/10.1115/1.4006466
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