A multiple-network poroelastic model for biological systems and application to subject-specific modelling of cerebral fluid transport

Guo, Liwei; Vardakis, John C.; Chou, Dean; Ventikos, Yiannis

doi:10.1016/j.ijengsci.2019.103204

Cited by 36 publications

(38 citation statements)

References 133 publications

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“…For more details, the reader is referred to previous work by the same authors. 47 , 48 , 49 , 54 Figure 2 depicts the nature of the control volume in which the 6-MPET model operates within. Table 1 lists the parameters used to run the 6-MPET model.…”

Section: Methodsmentioning

confidence: 99%

“… Values of shear modulus, G , and Lamé’s constant λ for the white matter (with subscript w ) than the grey matter (with subscript g ) are given. The reader is referred to Vardakis et al, Guo et al and Chou 3 , 47 , 48 , 54 – 56 for further details. SSBF: subject-specific blood flow profile derived arterial pressure.…”

Section: Methodsmentioning

confidence: 99%

“…The FEM code was written in FORTRAN 90/95. In previous work, the authors conducted grid-independence studies, verified the multiporoelastic system against analytical solutions, 47 , 57 , 58 in addition to the system being recently validated with respect to data arising from both a CSF infusion test 54 and ASL based values. 55 …”

Section: Methodsmentioning

confidence: 99%

“…The remaining intercompartmental flux terms (ω ac , ω cv ) are the same as in previous studies (see for instance Vardakis et al and Guo et al). 3 , 47 , 48 , 54 , 55 …”

Section: Methodsmentioning

confidence: 99%

“…55 In line with previous work, grid-independence of the 6-MPET system was conducted, and converged solutions fell within a specified percentage band of numerical error estimates. For details regarding the discretisation of the conservation equations, the reader is referred to Guo et al and Vardakis et al 47,48,54,55 Finally, the discretised form of the 6-MPET system is solved using the PETSc library. 59,60 Subject-specific dataset, 6-MPET parameters and boundary conditions Subject-specific dataset.…”

Section: The 6-mpet Numerical Templatementioning

confidence: 99%

See 4 more Smart Citations

Exploring neurodegenerative disorders using a novel integrated model of cerebral transport: Initial results

Vardakis

Chou

Guo

et al. 2020

Proc Inst Mech Eng H

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The neurovascular unit (NVU) underlines the complex and symbiotic relationship between brain cells and the cerebral vasculature, and dictates the need to consider both neurodegenerative and cerebrovascular diseases under the same mechanistic umbrella. Importantly, unlike peripheral organs, the brain was thought not to contain a dedicated lymphatics system. The glymphatic system concept (a portmanteau of glia and lymphatic) has further emphasized the importance of cerebrospinal fluid transport and emphasized its role as a mechanism for waste removal from the central nervous system. In this work, we outline a novel multiporoelastic solver which is embedded within a high precision, subject specific workflow that allows for the co-existence of a multitude of interconnected compartments with varying properties (multiple-network poroelastic theory, or MPET), that allow for the physiologically accurate representation of perfused brain tissue. This novel numerical template is based on a six-compartment MPET system (6-MPET) and is implemented through an in-house finite element code. The latter utilises the specificity of a high throughput imaging pipeline (which has been extended to incorporate the regional variation of mechanical properties) and blood flow variability model developed as part of the VPH-DARE@IT research platform. To exemplify the capability of this large-scale consolidated pipeline, a cognitively healthy subject is used to acquire novel, biomechanistically inspired biomarkers relating to primary and derivative variables of the 6-MPET system. These biomarkers are shown to capture the sophisticated nature of the NVU and the glymphatic system, paving the way for a potential route in deconvoluting the complexity associated with the likely interdependence of neurodegenerative and cerebrovascular diseases. The present study is the first, to the best of our knowledge, that casts and implements the 6-MPET equations in a 3D anatomically accurate brain geometry.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

“…The remaining intercompartmental flux terms (ω ac , ω cv ) are the same as in previous studies (see for instance Vardakis et al and Guo et al). 3 , 47 , 48 , 54 , 55 …”

Section: Methodsmentioning

confidence: 99%