Study of Hydrocephalus Using Poroelastic Models

Yankova, Galina; Cherevko, A. A.; Khe, A. K.; Bogomyakova, Olga; Tulupov, Andrey

doi:10.1134/s0021894420010022

Cited by 5 publications

(3 citation statements)

References 29 publications

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“…The poroelastic multifluid filtration model is used for mathematical modeling of cerebral hemo- and CSF dynamics [ 27 – 30 ]. The brain parenchyma is modeled by a porous matrix.…”

Section: Methodsmentioning

confidence: 99%

Influence of interaction of cerebral fluids on ventricular deformation: A mathematical approach

et al. 2022

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This paper describes the effects of the interaction of cerebral fluids (arterial, capillary and venous blood, cerebrospinal fluid) on ventricular wall displacement and periventricular pressure using a mathematical multiphase poroelasticity model for the cerebral parenchyma. The interaction of cerebral fluids is given by a set of four numerical coefficients. A multiple linear regression with interaction is constructed that allows us to quantify the effect of these coefficients on the average ventricular wall displacement. The prevailing influence of an arterial-liquor component was observed. The sets of coefficients associated with such pathological conditions were found: normal pressure hydrocephalus, intracranial hypertension, and replacement ventriculomegaly under a prolonged hypoperfusion.

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“…The poroelastic multifluid filtration model is used for mathematical modeling of cerebral hemo- and CSF dynamics [ 27 – 30 ]. The brain parenchyma is modeled by a porous matrix.…”

Section: Methodsmentioning

confidence: 99%

Influence of interaction of cerebral fluids on ventricular deformation: A mathematical approach

et al. 2022

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“…A multi-phase poro-elastic model for the mind is important, depending on clinical information. The model can be utilized to portray the solid brain, the cerebrum with hydrocephalus, and the progress between them because of an adjustment of model boundaries was illustrated by G. S. Yan'kova et al [16]. The numerical method based on Blasius's approach for flow past a flat plate in the case of heat transfer for large Reynolds numbers has been discussed by Dreglea and Shishkin [17] and also in [18].…”

Section: Introductionmentioning

confidence: 99%

Effect of Ventricular Elasticity Due to Congenital Hydrocephalus

et al. 2021

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Cerebrospinal fluid (CSF) is a symmetric flow transport that surrounds brain and central nervous system (CNS). Congenital hydrocephalusis is an asymmetric and unusual cerebrospinal fluid flow during fetal development. This dumping impact enhances the elasticity over the ventricle wall. Henceforth, compression change influences the force of brain tissues. This paper presents a mathematical model to establish the effects of ventricular elasticity through a porous channel. The current model is good enough for immediate use by a neurosurgeon. The mathematical model is likely to be a powerful tool for the better treatment of hydrocephalus and other brain biomechanics. The non-linear dimensionless governing equations are solved using a perturbation technique, and the outcome is portrayed graphically with the aid of MATLAB.

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“…The interaction of cerebral fluids is given by a set of four numerical coefficients. The displacement of the ventricular wall of the brain and the magnitude of pressure on it are studied [2,4]. A multiple linear regression with interaction is constructed that allows us to quantify the effect of these coefficients on the average ventricular wall displacement.…”

mentioning

confidence: 99%

Using a combination of mathematical multiphase poroelasticity model of parenchyma and experimental approaches to study hydrocephalus

2022

The Thirteenth International Multiconference

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Motivation and Aim: There are a large number of pathological conditions of the central nervous system characterized by impaired movement of intracerebral fluids [1]. An important example is hydrocephalus, a pathology in which the brain ventricles increase, which leads to displacement and compression of brain tissue. This condition is well described in terms of clinical manifestations, but its causes and development are poorly understood. Methods and Algorithms: The report considers a complex mathematical model of cerebral cerebrospinal fluid and hemodynamics of a person based on a model of multiphase poroelasticity for brain matter. The interaction of cerebral fluids is given by a set of four numerical coefficients. The displacement of the ventricular wall of the brain and the magnitude of pressure on it are studied [2,4]. A multiple linear regression with interaction is constructed that allows us to quantify the effect of these coefficients on the average ventricular wall displacement. This mathematical model was tested on laboratory animals. This is necessary in order to further use experimental approaches and increase the number of real parameters involved in modeling. Results: It is shown that the considered model allows to describe both the healthy state of organism and the state of organism with hydrocephaly and the transition between them that takes place when the model parameters change [3]. Based on the MRI data of real patients, the patterns of behavior of these values are determined depending on the parameters of the model in hydrocephalus. The prevailing influence of an arterial-liquor component was observed [4]. Using MRI data and a mathematical model in laboratory mice, intertrain differences in the tendency to hydrocephalus were found. Conclusion:The effect of interaction parameters on mean ventricular wall displacement and periventricular pressure is described qualitatively. Based on the regression model analysis the prevailing influence of the capillary-CSF component was found. The analysis reveals the relationship between the interaction coefficients and the pathological conditions. The data used, obtained on laboratory animals, made it possible to construct an animal version of the described mathematical model.

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Study of Hydrocephalus Using Poroelastic Models

Cited by 5 publications

References 29 publications

Influence of interaction of cerebral fluids on ventricular deformation: A mathematical approach

Influence of interaction of cerebral fluids on ventricular deformation: A mathematical approach

Effect of Ventricular Elasticity Due to Congenital Hydrocephalus

Using a combination of mathematical multiphase poroelasticity model of parenchyma and experimental approaches to study hydrocephalus

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