Ventricular dilation as an instability of intracranial dynamics

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Nov;72(5 Pt 1):051912. doi: 10.1103/PhysRevE.72.051912. Epub 2005 Nov 8.

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.

MeSH terms

  • Animals
  • Biological Clocks*
  • Cerebral Ventricles / physiopathology*
  • Cerebrospinal Fluid
  • Computer Simulation
  • Dilatation, Pathologic / physiopathology*
  • Elasticity
  • Humans
  • Hydrocephalus / physiopathology*
  • Intracranial Pressure*
  • Models, Biological*
  • Pressure