Porohyperviscoelastic (PHVE) modeling gives a simplified continuum approximation of pore fluid behavior within the parenchyma of liver tissue. This modeling approach is particularly applicable to tissue engineering of artificial livers, where the inherent complexity of the engineered scaffolds prevents the use of computational fluid dynamics. The objectives of this study were to simultaneously predict the experimental parenchymal fluid pressure (PFP) and compression response in a PHVE liver model. The model PFP matched the experimental measurements (318 Pa) to within 1.5%. Linear regression of both phases of compression, ramp, and hold, demonstrated a strong correlation between the model and the experimental reaction force (). The ability of this PVE model to accurately predict both fluid and solid behavior is important due to the highly vascularized nature of liver tissue and the mechanosensitivity of liver cells to solid matrix and fluid flow properties.
Issue Section:
Research Papers
References
1.
Kim
, R.
, Brown
, R.
, Terrault
, N.
, and El-Serag
, H.
, 2001, “Burden of Liver Disease in the United States: Summary of a Workshop
,” May 19, 2001, Atlanta, GA.2.
Organ Procurement and Transplantation Network: National Data, http://optn.transplant.hrsa.gov/http://optn.transplant.hrsa.gov/
3.
Baptista
, P. M.
, Siddiqui
, M. M.
, Lozier
, G.
, Rodriguez
, S. R.
, Atala
, A.
, and Soker
, S.
, 2011, “The Use of Whole Organ Decellularization for the Generation of a Vascularized Liver Organoid
,” J. Hepatol.
, 53
(2
), pp. 604
–617
.4.
Uygun
, B.
, Soto-Gutierrez
, A.
, Yagi
, H.
, Izamis
, M.
, Guzzardi
, M.
, Shulman
, C.
, Milwid
, J.
, Kobayashi
, N.
, Tilles
, A.
, Berthiaume
, F.
, Hertl
, M.
, Nahmias
, Y.
, Yarmush
, M.
, and Uygun
, K.
, 2010, “Organ Reengineering Through Development of a Transplantable Recellularized Liver Graft Using Decellularized Liver Matrix
,” Nat. Med. (N.Y.)
, 16
(7
), pp. 814
–820
.5.
Shupe
, T.
, Williams
, M.
, Brown
, A.
, Willenberg
, B.
, and Petersen
, B. E.
, 2010, “Method for the Decellularization of Intact Rat Liver
,” Organogenesis
, 6
(2
), pp. 134
–136
.6.
Yagi
, H.
, Fukumitsu
, K.
, Kadota
, Y.
, Kitago
, M.
, Shinoda
, M.
, Obara
, H.
, Itano
, O.
, Kawachi
, S.
, Tanabe
, M.
, Soto-Gutierrez
, A.
, and Kitagawa
, Y.
, 2011, “Large-Scale Whole-Organ Decellularization of Swine Liver for Transplantation
,” J. Hepatol.
, 54
, pp. 763A
–763A
. Available at http://www.multiwebcast.com/aasld/2011/thelivermeeting/13211/http://www.multiwebcast.com/aasld/2011/thelivermeeting/13211/7.
Soto-Gutierrez
, A.
, Zhang
, L.
, Medberry
, C.
, Fukumitsu
, K.
, Faulk
, D.
, Jiang
, H.
, Reing
, J.
, Gramignoli
, R.
, Komori
, J.
, Ross
, M.
, Nagaya
, M.
, Lagasse
, E.
, Stolz
, D.
, Strom
, S. C.
, Fox
, I. J.
, and Badylak
, S. F.
, 2011, “A Whole-Organ Regenerative Medicine Approach for Liver Replacement
,” Tissue Eng.
, 17
(6
), pp. 677
–686
.8.
Porter
, B.
, Zauel
, R.
, Stockman
, H.
, Guldberg
, R.
, and Fyhrie
, D.
, 2005, “3-D Computational Modeling of Media Flow Through Scaffolds in a Perfusion Bioreactor
,” J. Biomech.
, 38
(3
), pp. 543
–549
.9.
Boschetti
, F.
, Raimondi
, M. T.
, Migliavacca
, F.
, and Dubini
, G.
, 2006, “Prediction of the Micro-Fluid Dynamic Environment Imposed to Three-Dimensional Engineered Cell Systems in Bioreactors
,” J. Biomech.
, 39
(3
), pp. 418
–425
.10.
Lozoya
, O.
, Wauthier
, E.
, Turner
, R.
, Barbier
, C.
, Prestwich
, G.
, Guilak
, F.
, Superfine
, R.
, Lubkin
, S.
, and Reid
, L.
, 2011, “Regulation of Hepatic Stem/Progenitor Phenotype by Microenvironment Stiffness in Hydrogel Models of the Human Liver Stem Cell Niche
,” Biomaterials
, 32
(30
), pp. 7389
–7402
.11.
Wells
, R.
, 2008, “The Role of Matrix Stiffness in Regulating Cell Behavior
,” J. Hepatol.
, 47
(4
), pp. 1394
–1400
.12.
Hsu
, W. M.
, Carraro
, A.
, Kulig
, K. M.
, Miller
, M. L.
, Kaazempur-Mofrad
, M.
, Weinberg
, E.
, Entabi
, F.
, Albadawi
, H.
, Watkins
, M. T.
, Borenstein
, J. T.
, Vacanti
, J. P.
, and Neville
, C.
, 2010, “Liver-Assist Device With a Microfluidics-Based Vascular Bed in an Animal Model
,” Ann. Surg.
, 252
(2
), pp. 351
–357
.13.
Simon
, B. R.
, 1992, “Multiphase Poroelastic Finite Element Models for Soft Tissue Structures
,” Appl.Mech. Rev.
, 45
(6
), pp. 191
–218
.14.
Mow
, V.
, Kuei
, S.
, Lai
, W.
, and Armstrong
, C.
, 1980, “Biphasic Creep and Stress-Relaxation of Articular-Cartilage in Compression—Theory and Experiments
,” ASME J. Biomech. Eng.
, 102
(1
), pp. 73
–84
.15.
Mak
, A. F.
, 1986, “The Apparent Viscoelastic Behavior of Articular Cartilage—The Contributions From the Intrinsic Matrix Viscoelasticity and Interstitial Fluid Flows
,” ASME J. Biomech.Eng.
, 108
(2
), pp. 123
–130
.16.
DiSilvestro
, M.
, Zhu
, Q.
, and Suh
, J.
, 2001, “Biphasic Poroviscoelastic Simulation of the Unconfined Compression of Articular Cartilage—Part II: Effect of Variable Strain Rates
,” ASME J. Biomech.Eng.
, 123
(2
), pp. 198
–200
.17.
Huang
, C. Y.
, Mow
, V. C.
, and Ateshian
, G. A.
, 2001, “The Role of Flow-Independent Viscoelasticity in the Biphasic Tensile and Compressive Responses of Articular Cartilage
,” ASME J. Biomech. Eng.
, 123
(5
), pp. 410
–417
.18.
Suh
, J.
, and Bai
, S.
, 1998, “Finite Element Formulation of Biphasic Poroviscoelastic Model for Articular Cartilage
,” ASME J. Biomech. Eng.
, 120
(2
), pp. 195
–201
.19.
Yang
, Z.
, and Smolinski
, P.
, 2006, “Dynamic Finite Element Modeling of Poroviscoelastic Soft Tissue
,” Comput. Methods Biomech. Biomed. Eng.
, 9
(1
), pp. 7
–16
.20.
Pitt Ford
, T. R.
, Sachs
, J. R.
, Grotberg
, J. B.
, and Glucksberg
, M. R.
, 1991, “Perialveolar Interstitial Resistance and Compliance in Isolated Rat Lung
,” J. Appl. Physiol.
, 70
(6
), pp. 2750
–2756
. Available at http://jap.physiology.org/content/70/6/2750.longhttp://jap.physiology.org/content/70/6/2750.long21.
Ng
, E. Y.
, Ghista
, D. N.
, and Jegathese
, R. C.
, 2005, “Perfusion Studies of Steady Flow in Poroelastic Myocardium Tissue
,” Comput. Methods Biomech. Biomed. Eng.
, 8
(6
), pp. 349
–357
.22.
Cheng
, S.
, and Bilston
, L. E.
, 2007, “Unconfined Compression of White Matter
,” J. Biomech.
, 40
(1
), pp. 117
–124
.23.
Pena
, A.
, Bolton
, M. D.
, Whitehouse
, H.
, and Pickard
, J. D.
, 1999, “Effects of Brain Ventricular Shape on Periventricular Biomechanics: A Finite-Element Analysis
,” Neurosurgery
, 45
(1
), pp. 107
–116
.24.
Ayyalasomayajula
, A.
, Van de Geest
, J. P.
, and Simon
, B. R.
, 2010, “Porohyperelastic Finite Element Modeling of Abdominal Aortic Aneurysms
,” ASME J. Biomech. Eng.
, 132
(10
), p. 104502
.25.
Raghunathan
, S.
, Evans
, D.
, and Sparks
, J.
, 2010, “Poroviscoelastic Modeling of Liver Biomechanical Response in Unconfined Compression
,” Ann. Biomed. Eng.
, 38
(5
), pp. 1789
–1800
.26.
Marchesseau
, S.
, Heimann
, T.
, Chatelin
, S.
, Willinger
, R.
, and Delingette
, H.
, 2010, “Fast Porous Visco-Hyperelastic Soft Tissue Model for Surgery Simulation: Application to Liver Surgery
,” Prog. Biophys. Mol. Biol.
, 103
(2–3
), pp. 185
–196
.27.
Bonfiglio
, A.
, Leungchavaphongse
, K.
, Repetto
, R.
, and Siggers
, J.
, 2010, “Mathematical Modeling of the Circulation in the Liver Lobule
,” ASME J. Biomech. Eng.
, 132
(11
), p. 111011
.28.
Ricken
, T.
, Dahmen
, U.
, and Dirsch
, O.
, 2010, “A Biphasic Model for Sinusoidal Liver Perfusion Remodeling After Outflow Obstruction
,” Biomech. Model. Mechanobiol.
, 9
(4
), pp. 435
–450
.29.
Wu
, J.
, Xu
, S.
, Long
, Q.
, Collins
, M.
, Koenig
, C.
, Zhao
, G.
, Jiang
, Y.
, and Padhani
, A.
, 2008, “Coupled Modeling of Blood Perfusion in Intravascular, Interstitial Spaces in Tumor Microvasculature
,” J. Biomech.
, 41
(5
), pp. 996
–1004
.30.
Guyton
, A.
and Hall
, J.
, 2006, Textbook of Medical Physiology
, Saunders Elsevier
, Philadelphia, PA
.31.
Wu
, J.
, Herzog
, W.
, and Epstein
, M.
, 1998, “Evaluation of the Finite Element Software ABAQUS for Biomechanical Modelling of Biphasic Tissues
,” J. Biomech.
, 31
(2
), pp. 165
–169
.32.
Evans
, D. W.
, 2011, “A Nanoindentation Device and the Scale-Dependent Mechanical Properties of Native and Decellularized Liver Tissue
,” Master’s thesis
, Wake Forest University School of Medicine
, Winston-Salem, NC
.33.
ABAQUS
, 2009, ABAQUS Theory Manual (Version 6.9)
, Dassault Systemes Simulia Corp.
, Providence, RI
.34.
Yeoh
, O. H.
, 1993, “Some Forms of the Strain-Energy Function for Rubber
,” Rubber Chem. Technol.
, 66
(5
), pp. 754
–771
.35.
Spilker
, R. L.
, Suh
, J. K.
, and Mow
, V. C.
, 1990, “Effects of Friction on the Unconfined Compressive Response of Articular-Cartilage—A Finite-Element Analysis
,” ASME J. Biomech. Eng.
, 112
(2
), pp. 138
–146
.36.
Schwefel
, H.
, 1975, “Evolutionsstrategie und numerische optimierung
,” Ph.D. thesis, TU Berlin, Berlin, Germany.37.
Isight
, 2011, Isight 5.0 Component Guide
, Dassault Systemes, Vélizy-Villacoublay
, France
.38.
Nelder
, J.
, and Mead
, R.
, 1965, “A Simplex Method for Function Minimization
,” Comput. J.
, 7
, pp. 308
–313
.39.
Schittkowski
, K.
, 1985, “Nlpql: A FORTRAN Subroutine for Solving Constrained Nonlinear Programming Problems
,” Ann. Operat. Res.
, 5
, pp. 485
–500
.40.
Anderson
, A. E.
, Ellis
, B. J.
, and Weiss
, J. A.
, 2007, “Verification, Validation and Sensitivity Studies in Computational Biomechanics
,” Comput.Methods Biomech. Biomed. Eng.
, 10
(3
), pp. 171
–184
.41.
Vande Geest
, J. P.
, Simon
, B. R.
, Rigby
, P. H.
, and Newberg
, T. P.
, 2011, “Coupled Porohyperelastic Mass Transport (PHEXPT) Finite Element Models for Soft Tissues Using ABAQUS
,” ASME J. Biomech.Eng.
, 133
(4
), pp. 044502
.42.
Stops
, A. J. F.
, Heraty
, K. B.
, Browne
, M.
, O’Brien
, F. J.
, and McHugh
, P. E.
, 2010, “A Prediction of Cell Differentiation and Proliferation Within a Collagen-Glycosaminoglycan Scaffold Subjected to Mechanical Strain and Perfusive Fluid Flow
,” J. Biomech.
, 43
(4
), pp. 618
–626
.43.
Chung
, C. A.
, Chen
, C. W.
, Chen
, C. P.
, and Tseng
, C. S.
, 2007, “Enhancement of Cell Growth in Tissue-Engineering Constructs Under Direct Perfusion: Modeling and Simulation
,” Biotechnol. Bioeng.
, 97
(6
), pp. 1603
–1616
.44.
Kerdok
, A.
, Ottensmeyer
, M.
, and Howe
, R.
, 2006, “Effects of Perfusion on the Viscoelastic Characteristics of Liver
,” J. Biomech.
, 39
(12
), pp. 2221
–2231
.45.
Kyriacou
, S. K.
, Mohamed
, A.
, Miller
, K.
, and Neff
, S.
, 2002, “Brain Mechanics for Neurosurgery: Modeling Issues
,” Biomech. Model. Mechanobiol.
, 1
(2
), pp. 151
–164
.46.
Kerdok
, A.
, 2006, “Characterizing the Nonlinear Mechanical Response of Liver to Surgical Manipulation
,” PhD thesis, Harvard University, Cambridge, MA.47.
Gu
, W. Y.
, Mao
, X. G.
, Foster
, R. J.
, Weidenbaum
, M.
, Mow
, V. C.
, and Rawlins
, B. A.
, 1999, “The Anisotropic Hydraulic Permeability of Human Lumbar Anulus Fibrosus—Influence of Age, Degeneration, Direction, and Water Content
,” Spine
, 24
(23
), pp. 2449
–2455
.48.
Chui
, C.
, Kobayashi
, E.
, Chen
, X.
, Hisada
, T.
, and Sakuma
, I.
, 2004, “Combined Compression and Elongation Experiments and Non-Linear Modelling of Liver Tissue for Surgical Simulation
,” Med. Biol. Eng. Comput.
, 42
(6
), pp. 787
–798
.49.
Lister
, K.
, Gao
, Z.
, and Desai
, J. P.
, 2011, “Development of In Vivo Constitutive Models for liver: Application to Surgical Simulation
,” Ann. Biomed. Eng.
, 39
(3
), pp. 1060
–1073
.50.
Hostettler
, A.
, George
, D.
, Remond
, Y.
, Nicolau
, S. A.
, Soler
, L.
, and Marescaux
, J.
, 2010, “Bulk Modulus and Volume Variation Measurement of the Liver and the Kidneys In Vivo Using Abdominal Kinetics During Free Breathing
,” Comput. Methods Programs Biomed.
, 100
(2
), pp. 149
–157
.51.
Stokes
, I.
, Chegini
, S.
, Ferguson
, S.
, Gardner-Morse
, M.
, Iatridis
, J.
, and Laible
, J.
, 2010, “Limitation of Finite Element Analysis of Poroelastic Behavior of Biological Tissues Undergoing Rapid Loading
,” Ann. Biomed. Eng.
, 38
(5
), pp. 1780
–1788
.52.
Liu
, Z. Z.
, and Bilston
, L. E.
, 2002, “Large Deformation Shear Properties of Liver Tissue
,” Biorheology
, 39
(6
), pp. 735
–742
. Available at http://iospress.metapress.com/content/g5r6grjyqc38aprf/http://iospress.metapress.com/content/g5r6grjyqc38aprf/Copyright © 2012
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