Mathematical Modeling of Normal-Pressure Hydrocephalus at Different Levels of Detal of the Brain Geometry
G. S. Yan'kova1,2, A. A. Cherevko1,2, A. K. Khe1,2, O. B. Bogomyakova3, A. A. Tulupov2,3
1Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
2Novosibirsk State University, Novosibirsk, Russia
3International Tomography Center, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: poroelasticity, finite element method, normal-pressure hydrocephalus, cerebrospinal fluid, magnetic resonance imaging
Abstract
This paper describes the use of a multiphase model of poroelasticity meant for the brain substance and based on medical data to study the displacement of a ventricle wall in the brain and the value of pressure on it. The dependence of these values on the parameters of the model in normal-pressure hydrocephalus is studied. It is shown for the brain geometry with different levels of detail that the simplified geometry of the brain allows one to accurately estimate critical pressures and displacements in the case of more complex geometry.
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