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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2021 Volume 62, Issue 4, Pages 148–157 (Mi pmtf138)

This article is cited in 2 papers

Mathematical modeling of normal-pressure hydrocephalus at different levels of detal of the brain geometry

G. S. Yan'kovaab, A. A. Cherevkoab, A. K. Kheab, O. B. Bogomyakovac, A. A. Tulupovbc

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
b Novosibirsk State University, 630090, Novosibirsk, Russia
c International Tomography Center of the Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia

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.

Keywords: poroelasticity, finite element method, normal-pressure hydrocephalus, cerebrospinal fluid, magnetic resonance imaging.

UDC: 51-76; 519.63

Received: 30.04.2021
Revised: 11.05.2021
Accepted: 31.05.2021

DOI: 10.15372/PMTF20210415


 English version:
Journal of Applied Mechanics and Technical Physics, 2021, 62:4, 654–662

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© Steklov Math. Inst. of RAS, 2025