Abstract
Numerical methods and simulations offer the prospect of improved clinically relevant predictive information, enabling more efficient use of resources for designing treatment protocols, risk assessment and urgently needed management of long term care systems for a wide spectrum of brain disorders. An extended poroelastic model of perfused parenchymal tissue coupled with separate workflows incorporating subject-specific meshes, permeability tensor maps and cerebral blood flow variability is outlined in this work. This consolidated pipeline is also used to provide subject-specific boundary conditions for the regions of the cerebroventricular volume responsible for cerebrospinal fluid (CSF) secretion, in addition to the exit sites which allow for the passage of CSF into the intricate drainage pathways of the brain. Subject-specific datasets used in the modelling of this paper were collected as part of a prospective data collection effort. Two cases were simulated involving one female cognitively healthy control (CHC) subject, and one female subject with mild cognitive impairment (MCI) undergoing a period of high activity. Results showed visibly reduced blood perfusion, clearance of CSF/interstitial fluid (ISF), CSF/ISF accumulation and drainage in the MCI case. Interestingly, peak aqueductal velocity was higher in the MCI case (1.80 cm/s compared to 0.35 cm/s).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Vardakis, I.C.: Multicompartmental poroelasticity for the integrative modelling of fluid transport in the brain. PhD thesis, Oxford University (2014)
Guo, L., Vardakis, J.C., Lassila, T., Mitolo, M., Ravikumar, N., Chou, D., Lange, M., Foroushani, A.S., Tully, B.J., Taylor, A.Z., Varma, S., Venneri, A., Frangi, A.F., Ventikos, Y.: Subject-specific multiporoelastic model for exploring the risk factors associated with the early stages of Alzheimer’s disease. Interface Focus 8(1) (2018)
Biot, M.A.: General theory of three-dimensional consolidation. J. Appl. Phys. 12, 155–164 (1941)
Barenblatt, G.I., Zheltov, I.P., Kochina, I.N.: Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks. J. Appl. Math. Mech. 24, 1286–1303 (1960)
Vardakis, J.C., Tully, B.J., Ventikos, Y.: Exploring the efficacy of endoscopic ventriculostomy for hydrocephalus treatment via a multicompartmental poroelastic model of CSF transport: a computational perspective. PLoS ONE 8(12) (2013)
Guo, L, Vardakis, J. C., Chou, D., Ventikos, Y.: A multiple-network poroelastic model for biological systems and application to subject-specific modelling of cerebral fluid transport. Int. J. Eng. Sci. 147, 103204 (2020)
Guo, L., Vardakis, J.C., Chou, D., Ventikos, Y.: Development of a three-dimensional multicompartmental poroelastic model for the simulation of cerebrospinal fluid transport. In: Proceedings 12th World Congress on Computational Mechanics, Seoul, Korea (2016)
Terzaghi, K.: Erdbaumechanik auf bodenphysikalischer grundlage. F. Duticke, Vienna, Austria (1925)
Mandel, J.: Consolidation des sols (étude mathématique). Géotechnique 30, 287–289 (1953)
Kivipelto, M., Ngandu, T., Laatikainen, T., Winblad, B., Soininen, H., Tuomilehto, J.: Risk score for the prediction of dementia risk in 20 years among middle aged people: a longitudinal, population-based study. Lancet Neurol. 5, 735–741 (2006)
Vardakis, J. C., Guo, L., Peach, T. W., Lassila, T., Mitolo, M., Chou, D., Taylor, Z. A., Varma, S., Venneri, A., Frangi, A. F., Ventikos, Y.: Fluid–structure interaction for highly complex, statistically defined, biological media: Homogenisation and a 3D multi-compartmental poroelastic model for brain biomechanics. J. Fluids. Struct. 91 (2019)
Lassila, T., Di Marco, L.Y., Mitolo, M., Iaia, V., Levedianos, G., Venneri, A., Frangi, A.F.: Screening for cognitive impairment by model assisted cerebral blood flow estimation. IEEE Trans. Biomed. Eng. (2017)
Ursino, M.: Interaction between carotid baroregulation and the pulsating heart: a mathematical model. Am. J. Physiol. 275(5 Pt 2), H1733–H1747 (1998)
Mader, G., Olufsen, M., Mahdi, A.: Modeling cerebral blood flow velocity during orthostatic stress. Ann. Biomed. Eng. 43(8), 1748–1758 (2015)
Vardakis, J.C., Chou, D., Tully, B.J., Hung, C.C., Lee, T.H., Tsui, P.H., Ventikos, Y.: Investigating cerebral oedema using poroelasticity. Med. Eng. Phys. 38, 48–57 (2016)
Ramanathan, A., Nelson, A.R., Sagare, A.P., Zlokovic, B.V.: Impaired vascular-mediated clearance of brain amyloid beta in Alzheimer’s disease: the role, regulation and restoration of LRP1. Front. Aging Neurosci. 7 (2015)
Thomas, T., Miners, S., Love, S.: Post-mortem assessment of hypoperfusion of cerebral cortex in Alzheimer’s disease and vascular dementia. Brain 138(4), 1059–1069 (2015)
Stone, J., Johnstone, D.M., Mitrofanis, J., O’Rourke, M.: The mechanical cause of age-related dementia (Alzheimer’s disease): the brain is destroyed by the pulse. J. Alzheimer’s Dis. 44(2), 355–373 (2015)
Levy Nogueira, M., Lafitte, O., Steyaert, J.M., Bakardjian, H., Dubois, B., Hampel, H., Schwartz, L.: Mechanical stress related to brain atrophy in Alzheimer’s disease. Alzheimer’s Dement. 12(1), 11–20 (2016)
Stadlbauer, A., Salomonowitz, E., Riet, W., Buchfelder, M., Ganslandt, O.: Insight into the patterns of cerebrospinal fluid flow in the human ventricular system using MR velocity mapping. NeuroImage 51, 42–52 (2010)
Acknowledgements
The work has been supported by the European Commission FP7 project VPH-DARE@IT (FP7-ICT-2011-9-601055). We would like to thank our collaborators in the consortium, namely Dr. T. Lassila, Dr. N. Ravikumar, Dr. A. Sarrami-Foroushani, Mr. Milton Hoz de Vila, Prof. Z. A. Taylor and Prof. A. F. Frangi from the University of Leeds for developing the models and workflows to generate subject-specific boundary conditions and extracting permeability tensor maps and meshes of the cerebroventricular system. We would also like to thank Dr. M. Mitolo from Policlinico S. Orsola e Malpighi in Bologna, and Prof. A. Venneri from the University of Sheffield for providing the clinical data allied to the subject-specific applications.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Vardakis, J.C., Guo, L., Chou, D., Ventikos, Y. (2021). Using Multicompartmental Poroelasticity to Explore Brain Biomechanics and Cerebral Diseases. In: Braza, M., Hourigan, K., Triantafyllou, M. (eds) Advances in Critical Flow Dynamics Involving Moving/Deformable Structures with Design Applications. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 147. Springer, Cham. https://doi.org/10.1007/978-3-030-55594-8_15
Download citation
DOI: https://doi.org/10.1007/978-3-030-55594-8_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-55593-1
Online ISBN: 978-3-030-55594-8
eBook Packages: EngineeringEngineering (R0)