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Ventricular dilation as an instability of intracranial dynamics

R. Bouzerar1,*, K. Ambarki2, O. Balédent2, G. Kongolo3, J. C. Picot1, and M. E. Meyer2

  • 1Condensed Matter Physics Laboratory, UFR Sciences, Université de Picardie, 33 Rue Saint-Leu, 80039 Amiens, France
  • 2Biophysics and Image processing Laboratory, CHU Nord Amiens, 3Pediatric unit, CHU Nord Amiens, France
  • 3CHU Amiens Nord, Place Victor Pauchet, 80054 Amiens, France

  • *Corresponding author. Present address: Condensed Matter Physics Laboratory, UFR Sciences, Université de Picardie, 33 Rue Saint-Leu, 80039 Amiens, France. Email address: robert.bouzerar@sc.u-picardie.fr
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Phys. Rev. E 72, 051912 – Published 8 November, 2005

DOI: https://doi.org/10.1103/PhysRevE.72.051912

Abstract

We address the question of the ventricles’ dilation as a possible instability of the intracranial dynamics. The ventricular system is shown to be governed by a dynamical equation derived from first principles. This general nonlinear scheme is linearized around a well-defined steady state which is mapped onto a pressure-volume model with an algebraic effective compliance depending on the ventricles’ geometry, the ependyma’s elasticity, and the cerebrospinal fluid (CSF) surface tension. Instabilities of different natures are then evidenced. A first type of structural instability results from the compelling effects of the CSF surface tension and the elastic properties of the ependyma. A second type of dynamical instability occurs for low enough values of the aqueduct’s conductance. This last case is then shown to be accompanied by a spontaneous ventricle’s dilation. A strong correlation with some active hydrocephalus is evidenced and discussed. The transfer function of the ventricles, compared to a low-pass filter, are calculated in both the stable and unstable regimes and appear to be very different.

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Phys. Rev. E 72, 051912– Published 8 November, 2005
  • Received 11 March 2005

© 2005 American Physical Society

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