A computational fluid dynamics approach to determine white matter permeability

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Title: A computational fluid dynamics approach to determine white matter permeability
Authors: Vidotto, M
Botnariuc, D
De Momi, E
Dini, D
Item Type: Journal Article
Abstract: Glioblastomas represent a challenging problem with an extremely poor survival rate. Since these tumour cells have a highly invasive character, an effective surgical resection as well as chemotherapy and radiotherapy is very difficult. Convection-enhanced delivery (CED), a technique that consists in the injection of a therapeutic agent directly into the parenchyma, has shown encouraging results. Its efficacy depends on the ability to predict, in the pre-operative phase, the distribution of the drug inside the tumour. This paper proposes a method to compute a fundamental parameter for CED modelling outcomes, the hydraulic permeability, in three brain structures. Therefore, a bidimensional brain-like structure was built out of the main geometrical features of the white matter: axon diameter distribution extrapolated from electron microscopy images, extracellular space (ECS) volume fraction and ECS width. The axons were randomly allocated inside a defined border, and the ECS volume fraction as well as the ECS width maintained in a physiological range. To achieve this result, an outward packing method coupled with a disc shrinking technique was implemented. The fluid flow through the axons was computed by solving Navier–Stokes equations within the computational fluid dynamics solver ANSYS. From the fluid and pressure fields, an homogenisation technique allowed establishing the optimal representative volume element (RVE) size. The hydraulic permeability computed on the RVE was found in good agreement with experimental data from the literature.
Issue Date: 20-Feb-2019
Date of Acceptance: 11-Feb-2019
URI: http://hdl.handle.net/10044/1/68057
DOI: https://dx.doi.org/10.1007/s10237-019-01131-7
ISSN: 1617-7940
Publisher: Springer (part of Springer Nature)
Journal / Book Title: Biomechanics and Modeling in Mechanobiology
Copyright Statement: © Springer-Verlag GmbH Germany, part of Springer Nature 2019. The final publication is available at Springer via https://link.springer.com/article/10.1007%2Fs10237-019-01131-7
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/N025954/1
Keywords: Convection-enhanced delivery
Hydraulic permeability
Representative volume element
White matter
0913 Mechanical Engineering
0903 Biomedical Engineering
Biomedical Engineering
Publication Status: Published online
Embargo Date: 2020-02-20
Online Publication Date: 2019-02-20
Appears in Collections:Faculty of Engineering
Mechanical Engineering
Faculty of Natural Sciences

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