Mathematical Modeling of CSF Pulsatile Hydrodynamics Based on Fluid–Solid Interaction

Masoumi, Nafiseh; Bastani, Dariush; Najarian, Siamak; Ganji, Fariba; Farmanzad, Farhad; Seddighi, Amir Saeed

doi:10.1109/tbme.2009.2037975

Cited by 9 publications

(14 citation statements)

References 24 publications

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“…Another consequence of our findings is to show that the stationary Hagen-Poiseuille approximation for the aqueduct flow used in [8] and [38] has to be corrected. Our results show that the leading order contribution comes from the first oscillatory mode k = 1, for which the Womersley number is nonzero, and thus, the resulting admittance is complex (see Fig.…”

Section: Resultsmentioning

confidence: 88%

“…It is now an invaluable tool for investigations in physiology and pathology [1]- [3]. Electric models have been proposed to describe hydraulic couplings between various intracerebral spaces (e.g., subarachnoidal spaces (SAS), ventricular spaces, and intrathecal spaces of the spinal canal) [4]- [8]. Recent contributions also point out that patient-based flux and * G. Bardan is with the Institute of Fluid Mechanics of Toulouse, UMR, University of Toulouse, 5502 Toulouse, France (e-mail: gbardan@imft.fr).…”

Section: Introductionmentioning

confidence: 99%

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Simple Patient-Based Transmantle Pressure and Shear Estimate From Cine Phase-Contrast MRI in Cerebral Aqueduct

Bardan

Plouraboué

Zagzoule

et al. 2012

IEEE Trans. Biomed. Eng.

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From measurements of the oscillating flux of the cerebrospinal fluid (CSF) in the aqueduct of Sylvius, we elaborate a patient-based methodology for transmantle pressure (TRP) and shear evaluation. High-resolution anatomical magnetic resonance imaging first permits a precise 3-D anatomical digitalized reconstruction of the Sylvius's aqueduct shape. From this, a very fast approximate numerical flow computation, nevertheless consistent with analytical predictions, is developed. Our approach includes the main contributions of inertial effects coming from the pulsatile flow and curvature effects associated with the aqueduct bending. Integrating the pressure along the aqueduct longitudinal centerline enables the total dynamic hydraulic admittances of the aqueduct to be evaluated, which is the pre-eminent contribution to the CSF pressure difference between the lateral ventricles and the subarachnoidal spaces also called the TRP. The application of the method to 20 healthy human patients validates the hypothesis of the proposed approach and provides a first database for normal aqueduct CSF flow. Finally, the implications of our results for modeling and evaluating intracranial cerebral pressure are discussed.

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Section: Resultsmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Simple Patient-Based Transmantle Pressure and Shear Estimate From Cine Phase-Contrast MRI in Cerebral Aqueduct

Bardan

Plouraboué

Zagzoule

et al. 2012

IEEE Trans. Biomed. Eng.

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“…Choice of material properties for ventricular geometry was the most critical part of this study, since it is responsible for overall model behavior. Density of ventricular geometry and the poisson ratio was taken as 1000 kg/m 3 and 0.49 respectively [10]. The only thing that must be taken into knowledge here is that, in literature a ventricular geometry is largely modeled as elastic when it is studied in an isolated environment.…”

Section: Materials Properties: Solid Domainmentioning

confidence: 99%

“…Three papers are the most relevant in this context. First, Masoumi et al [10]; this paper presented a 2D FSI model of ventricular system and a simulation of CSF flow inside ventricle. A deformation of 0.006 mm on the walls of ventricles is reported.…”

Section: Introductionmentioning

confidence: 99%

Computational Modeling and Simulation of Stenosis of Aqueduct of Sylvius Due to Brain Tumor

Haq¹,

Ahmed²,

Mustansar³

et al. 2021

Preprint

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Background: Stenosis of cerebral aqueduct (CA) is featured in many studies related to elevated intracranial cerebral pressures (ICP). It also presents a challenging situation to clinicians. Compressive forces play a lead role in pathological situations like tumor presence and hence can cause obstruction to the flow of cerebrospinal fluid (CSF). Due to this barrier, excessive retention of CSF in ventricles can occur. This in turn could contribute to increased pressure gradients inside the cranium. In literature, most of the numerical models are restricted to modeling the CSF flow by considering ventricle walls as rigid material unlike its behavior a deformable character. This paper, therefore, addresses the same from a holistic perspective by taking into consideration the dynamics of the flexible character of the ventricular wall. This adds to the novelty of this work by reconstructing an anatomically realistic ventricular wall behavior. To do this, the authors aim to develop a computational model of stenosis of CA due to brain tumor by invoking a fluid-structure interaction (FSI) method. The proposed 3D FSI model is simulated under two cases. First, simulation of pre-stenosis case with no interaction of tumor forces and secondly, a stenosis condition together-with dynamic interaction of tumor forces. Results: Comparing the forces with and without tumor reveals a marked obstruction of CSF outflow post third ventricle and the cerebral aqueduct. Not only this but a drastic rise of CSF velocity from 21.2 mm/s in pre-stenosis case to 54.1 mm/s stenosis case is also observed along with a net deformation increase of 0.144 mm on walls of ventricle. Conclusions: This is a significant contribution to brain simulation studies for pressure calculations, wherein the presence of tumors is a major concern.

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“…Monro-Kellie's doctrine represents the compensation and auto-regulation process of cerebral blood and CSF volumes in cranial space. CSF is a colorless liquid [3] and permeates from the choroid plexus at a rate of 0.2-0.7 ml/minute. The ventricular system accommodates 20% of CSF volume out of its total volume of 125-150 ml at a time.…”

Section: Introductionmentioning

confidence: 99%

Quantification of CSF Velocity Through the Narrowest Point in Aqueduct of Sylvia for Normal and Normal Pressure Hydrocephalus Patient by CFD Analysis

Sethaput

2016

Int J Pharm Pharm Sci

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The aim of this comprehensive study is to quantify the velocity variation of cerebrospinal fluid (CSF) for narrowest point in aqueduct of Sylvia (AqSylv) of normal patients and normal pressure hydrocephalus (NPH) patient by corresponds to its concave shapes of anteriorly and inferiorly. T1-weighted 3-T magnetic resonance images (MRI) of the head in DICOM (Digital Imaging and Communications in Medicine) format were taken from three controlled patients whose were admitted to Thammasat Hospital, Thailand. Patients were 29 to 52 y of age with two normal patients and one (NPH) patient. DICOM files were three-dimensionally reconstructed by using 3D slicer software, and geometric information of an aqueduct for all three cases was noted. Solid models of the aqueduct for both normal patient and NPH condition were developed based on the geometric information. Computational fluid dynamics (CFD) were analyzed to quantify the CSF velocity variation throughout the narrowest point of the aqueduct for both cases, i.e. normal and NPH condition. Retrospective results of "mathematical model for dynamics of CSF through the aqueduct of Sylvia based on an analogy of arterial dilation and contraction" were used as initial data for ANSYS CFX analysis. The results showed the CSF flow through the aqueduct in a pulsatile pattern in both cases. At the narrowest point of the aqueduct, amplitude of peak CSF velocity for NPH patients was significantly higher than that of normal patient. CSF velocity variation throughout the aqueduct co-relates with the pressure gradient inside the aqueduct and increased in the third ventricle direction.

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Mathematical Modeling of CSF Pulsatile Hydrodynamics Based on Fluid–Solid Interaction

Cited by 9 publications

References 24 publications

Simple Patient-Based Transmantle Pressure and Shear Estimate From Cine Phase-Contrast MRI in Cerebral Aqueduct

Simple Patient-Based Transmantle Pressure and Shear Estimate From Cine Phase-Contrast MRI in Cerebral Aqueduct

Computational Modeling and Simulation of Stenosis of Aqueduct of Sylvius Due to Brain Tumor

Quantification of CSF Velocity Through the Narrowest Point in Aqueduct of Sylvia for Normal and Normal Pressure Hydrocephalus Patient by CFD Analysis

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