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A 3D porous media liver lobule model: the importance of vascular septa and anisotropic permeability for homogeneous perfusion

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Abstract
The hepatic blood circulation is complex, particularly at the microcirculatory level. Previously, 2D liver lobule models using porous media and a 3D model using real sinusoidal geometries have been developed. We extended these models to investigate the role of vascular septa (VS) and anisotropic permeability. The lobule was modelled as a hexagonal prism (with or without VS) and the tissue was treated as a porous medium (isotropic or anisotropic permeability). Models were solved using computational fluid dynamics. VS inclusion resulted in more spatially homogeneous perfusion. Anisotropic permeability resulted in a larger axial velocity component than isotropic permeability. A parameter study revealed that results are most sensitive to the lobule size and radial pressure drop. Our model provides insight into hepatic microhaemodynamics, and suggests that inclusion of VS in the model leads to perfusion patterns that are likely to reflect physiological reality. The model has potential for applications to unphysiological and pathological conditions.
Keywords
vascular septa, liver lobule, hepatic microcirculation, computational fluid dynamics, porous medium, anisotropic permeability, HYPOTHERMIC MACHINE PERFUSION, PORCINE LIVERS, HEPATIC LOBULE, TRANSPLANTATION, MICROCIRCULATION, REGENERATION, PRESERVATION, PRESSURE, ARTERIAL, GRAFT

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Chicago
Debbaut, Charlotte, Jan Vierendeels, Jennifer H Siggers, Rodolfo Repetto, Diethard Monbaliu, and Patrick Segers. 2014. “A 3D Porous Media Liver Lobule Model: The Importance of Vascular Septa and Anisotropic Permeability for Homogeneous Perfusion.” Computer Methods in Biomechanics and Biomedical Engineering 17 (12): 1295–1310.
APA
Debbaut, C., Vierendeels, J., Siggers, J. H., Repetto, R., Monbaliu, D., & Segers, P. (2014). A 3D porous media liver lobule model: the importance of vascular septa and anisotropic permeability for homogeneous perfusion. COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 17(12), 1295–1310.
Vancouver
1.
Debbaut C, Vierendeels J, Siggers JH, Repetto R, Monbaliu D, Segers P. A 3D porous media liver lobule model: the importance of vascular septa and anisotropic permeability for homogeneous perfusion. COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING. 2014;17(12):1295–310.
MLA
Debbaut, Charlotte et al. “A 3D Porous Media Liver Lobule Model: The Importance of Vascular Septa and Anisotropic Permeability for Homogeneous Perfusion.” COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING 17.12 (2014): 1295–1310. Print.
@article{3052790,
  abstract     = {The hepatic blood circulation is complex, particularly at the microcirculatory level. Previously, 2D liver lobule models using porous media and a 3D model using real sinusoidal geometries have been developed. We extended these models to investigate the role of vascular septa (VS) and anisotropic permeability. The lobule was modelled as a hexagonal prism (with or without VS) and the tissue was treated as a porous medium (isotropic or anisotropic permeability). Models were solved using computational fluid dynamics. VS inclusion resulted in more spatially homogeneous perfusion. Anisotropic permeability resulted in a larger axial velocity component than isotropic permeability. A parameter study revealed that results are most sensitive to the lobule size and radial pressure drop. Our model provides insight into hepatic microhaemodynamics, and suggests that inclusion of VS in the model leads to perfusion patterns that are likely to reflect physiological reality. The model has potential for applications to unphysiological and pathological conditions.},
  author       = {Debbaut, Charlotte and Vierendeels, Jan and Siggers, Jennifer H and Repetto, Rodolfo and Monbaliu, Diethard and Segers, Patrick},
  issn         = {1025-5842},
  journal      = {COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING},
  keywords     = {vascular septa,liver lobule,hepatic microcirculation,computational fluid dynamics,porous medium,anisotropic permeability,HYPOTHERMIC MACHINE PERFUSION,PORCINE LIVERS,HEPATIC LOBULE,TRANSPLANTATION,MICROCIRCULATION,REGENERATION,PRESERVATION,PRESSURE,ARTERIAL,GRAFT},
  language     = {eng},
  number       = {12},
  pages        = {1295--1310},
  title        = {A 3D porous media liver lobule model: the importance of vascular septa and anisotropic permeability for homogeneous perfusion},
  url          = {http://dx.doi.org/10.1080/10255842.2012.744399},
  volume       = {17},
  year         = {2014},
}

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