Coupled porohyperelastic mass transport (PHEXPT) finite element models for soft tissues using ABAQUS

Journal of Biomechanical Engineering

Volumn 133, Issue 4, 2011, Pages

  Vande Geest, Jonathan P ^a   Simon, B R ^a   Rigby, Paul H ^a   Newberg, Tyler P ^a  

^a University of Arizona   (United States)

Author keywords

ABAQUS; Drug delivery; Finite element models; Mass transport; Porohyperelastic; Soft tissues

Indexed keywords

ABAQUS FINITE ELEMENT SOFTWARE; ANALYTICAL SOLUTIONS; ENGINEERED MATERIALS; EULERIAN; FINITE DEFORMATIONS; FINITE ELEMENT; FINITE ELEMENT FORMULATIONS; FINITE ELEMENT MODELS; FINITE ELEMENT SIMULATIONS; FINITE-ELEMENT APPROACH; FLUID FLUXES; FLUID PRESSURES; FORTRAN PROGRAMS; HIGHLY NONLINEAR; HYPER-ELASTICITY; IN-VIVO; JUMP DISCONTINUITIES; LAGRANGIAN; LARGE DEFORMATIONS; LOCAL DRUG DELIVERY; MASS TRANSPORT; MATERIAL INTERFACES; MATERIAL PROPERTY; MOBILE SPECIES; NEUTRAL SPECIES; NON-LINEAR MATERIAL LAW; PATHOLOGICAL TISSUE; POROHYPERELASTIC; POROUS MEDIA; QUANTITATIVE STUDY; SOFT TISSUE; SOFT TISSUES; STEADY-STATE RESPONSE; TRANSIENT SIMULATION; TRANSPORT THEORY;

ABAQUS; COMPUTER SOFTWARE; DEFORMATION; DRUG DELIVERY; FINITE ELEMENT METHOD; FLUIDS; HISTOLOGY; MASS TRANSFER; POROUS MATERIALS; STATISTICAL MECHANICS; TISSUE; TRANSPORT PROPERTIES;

COUPLED CIRCUITS;

MACROGOL 4000;

ARTICLE; FINITE ELEMENT ANALYSIS; SIMULATION; SOFT TISSUE; TISSUE ENGINEERING; TISSUE PRESSURE; ANTIBODY SPECIFICITY; BIOLOGICAL MODEL; COMPUTER PROGRAM; ELASTICITY; MECHANICAL STRESS; NONLINEAR SYSTEM; POROSITY; REPRODUCIBILITY;

ELASTICITY; FINITE ELEMENT ANALYSIS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; ORGAN SPECIFICITY; POROSITY; REPRODUCIBILITY OF RESULTS; SOFTWARE; STRESS, MECHANICAL;

EID: 79951701421     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4003489     Document Type: Article

References (38)

1. Almeida E.S. Spilker R.L. Mixed and Penalty Finite Element Models for the Nonlinear Behavior of Biphasic Soft Tissues in Finite Deformation: Part I-Alternate Formulations. Comput. Methods Biomech. Biomed. Eng. 1997, 1(1):25-46. CMBEFS, 1025-5842, 10.1080/01495739708936693.
2. Almeida E.S. Spilker R.L. Mixed and Penalty Finite Element Models for the Nonlinear Behavior of Biphasic Soft Tissues in Finite Deformation: Part II-Nonlinear Examples. Comput. Methods Biomech. Biomed. Eng. 1998, 1(2):151-170. CMBEFS, 1025-5842.
3. Gu W.Y. Lai W.M. Mow V.C. A Mixture Theory for Charged-Hydrated Soft Tissues Containing Multi-Electrolytes: Passive Transport and Swelling Behaviors. ASME J. Biomech. Eng. 1998, 120(2):169-180. JBENDY, 0148-0731, 10.1115/1.2798299.
4. Lai W.M. Hou J.S. Mow V.C. A Triphasic Theory for the Swelling and Deformation Behaviors of Articular Cartilage. ASME J. Biomech. Eng. 1991, 113(3):245-58. JBENDY, 0148-0731, 10.1115/1.2894880.
5. Mow V.C. Ateshian G.A. Spilker R.L. Biomechanics of Diarthrodial Joints: A Review of Twenty Years of Progress. ASME J. Biomech. Eng. 1993, 115(4B):460-467. JBENDY, 0148-0731, 10.1115/1.2895525.
6. Simon B.R. Kaufmann M.V. Liu J. Baldwin A.L. Porohyperelastic-Transport-Swelling Theory, Material Properties and Finite Element Models for Large Arteries. Int. J. Solids Struct. 1998, 35(34-35):5021-5031. IJSOAD, 0020-7683, 10.1016/S0020-7683(98)00107-3.
7. Simon B.R. Kaufmann M.V. McAfee M.A. Baldwin A.L. Porohyperelastic Finite Element Analysis of Large Arteries Using ABAQUS. ASME J. Biomech. Eng. 1998, 120(2):296-298. JBENDY, 0148-0731, 10.1115/1.2798315.
8. Spilker R.L. Suh J.K. Mow V.C. A Finite Element Analysis of the Indentation Stress-Relaxation Response of Linear Biphasic Articular Cartilage. ASME J. Biomech. Eng. 1992, 114(2):191-201. JBENDY, 0148-0731, 10.1115/1.2891371.
9. 2008, ABAQUS User's Manual, Version 6.8.
10. Biot M. General Theory of Three-Dimensional Consolidation. J. Appl. Phys. 1941, 12:155-164. JAPIAU, 0021-8979, 10.1063/1.1712886.
11. Biot M. Mechanics of Deformation and Acoustic Propagation in Porous Media. J. Appl. Phys. 1962, 33:1482-1498. JAPIAU, 0021-8979, 10.1063/1.1728759.
12. Biot M. Theory of Finite Deformations of Porous Solids. Indiana Math Journal 1972, 21:597-620. 10.1512/iumj.1972.21.21048.
13. Bowen R. Continuum Theory of Fluid Saturated Porous Media. ASME J. Appl. Mech. 1971, 38(3):716. JAMCAV, 0021-8936, 10.1115/1.3408884, p.
14. Bowen R. Incompressible Porous Media Models by Use of the Theory of Mixtures. Int. J. Eng. Sci. 1980, 18:1129-1148. IJESAN, 0020-7225, 10.1016/0020-7225(80)90114-7.
15. Bowen R. Compressible Porous-Media Models by the Use of the Theory of Mixtures. Int. J. Eng. Sci. 1982, 20(6):697-735. IJESAN, 0020-7225, 10.1016/0020-7225(82)90082-9.
16. Lai W.M. Mow V.C. Roth V. Effects of Nonlinear Strain-Dependent Permeability and Rate of Compression on the Stress Behavior of Articular Cartilage. ASME J. Biomech. Eng. 1981, 103(2):61-66. JBENDY, 0148-0731, 10.1115/1.3138261.
17. Mow V.C. Kuei S.C. Lai W.M. Armstrong C.G. Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression? Theory and Experiments. ASME J. Biomech. Eng. 1980, 102(1):73-84. JBENDY, 0148-0731, 10.1115/1.3138202.
18. Ateshian G.A. Likhitpanichkul M. Hung C.T. A Mixture Theory Analysis for Passive Transport in Osmotic Loading of Cells. J. Biomech. 2006, 39(3):464-475. JBMCB5, 0021-9290.
19. Azeloglu E.U. Albro M.B. Thimmappa V.A. Ateshian G.A. Costa K.D. Heterogeneous Transmural Proteoglycan Distribution Provides a Mechanism for Regulating Residual Stresses in the Aorta. Am. J. Physiol. Heart Circ. Physiol. 2007, 294(3):197-205. ZZZZZZ, 0363-6135, 10.1152/ajpheart.01027.2007.
20. Huyghe J.M. Janssen J.D. Quadriphasic Mechanics of Swelling Incompressible Porous Media. Int. J. Eng. Sci. 1997, 35(8):793-802. IJESAN, 0020-7225, 10.1016/S0020-7225(96)00119-X.
21. Huyghe J.M. Molenaar M.M. Baajens F.P. Poromechanics of Compressible Charged Porous Media Using the Theory of Mixtures. ASME J. Biomech. Eng. 2007, 129(5):776-785. JBENDY, 0148-0731, 10.1115/1.2768379.
22. Koshiba N. Ando J. Chen X. Hisada T. Multiphysics Simulation of Blood Flow and LDL Transport in a Porohyperelastic Arterial Wall Model. ASME J. Biomech. Eng. 2007, 129(3):374-385. JBENDY, 0148-0731, 10.1115/1.2720914.
23. Sengers B.G. Oomens C.W. Baaijens F.P. An Integrated Finite-Element Approach to Mechanics, Transport and Biosynthesis in Tissue Engineering. ASME J. Biomech. Eng. 2004, 126(1):82-91. JBENDY, 0148-0731, 10.1115/1.1645526.
24. Iatridis J.C. Laible J.P. Krag M.H. Influence of Fixed Charge Density Magnitude and Distribution on the Intervertebral Disc: Applications of a Poroelastic and Chemical Electric (PEACE) Model. ASME J. Biomech. Eng. 2003, 125(1):12-24. JBENDY, 0148-0731, 10.1115/1.1537190.
25. Schroeder Y. Wilson W. Huyghe J.M. Baaijens F.P. Osmoviscoelastic Finite Element Model of the Intervertebral Disc. Eur. Spine J. 2006, 15(3):361-371. ZZZZZZ, 0940-6719, 10.1007/s00586-006-0110-3.
26. Sun D.D. Guo X.E. Likhitpanichkul M. Lai W.M. Mow V.C. The Influence of the Fixed Negative Charges on Mechanical and Electrical Behaviors of Articular Cartilage Under Unconfined Compression. ASME J. Biomech. Eng. 2004, 126(1):6-16. JBENDY, 0148-0731, 10.1115/1.1644562.
27. Levenston M.E. Frank E.H. Grodzinsky A.J. Variationally Derived 3-Field Finite Element Formulations for Quasistatic Poroelastic Analysis of Hydrated Biological Tissues. Comput. Methods Appl. Mech. Eng. 1998, 156(1-4):231-246. CMMECC, 0045-7825, 10.1016/S0045-7825(97)00208-9.
28. Wilson W. van Donkelaar C.C. Huyghe J.M. A Comparison Between Mechano-Electrochemical and Biphasic Swelling Theories for Soft Hydrated Tissues. ASME J. Biomech. Eng. 2005, 127(1):158-165. JBENDY, 0148-0731, 10.1115/1.1835361.
29. Wu J.Z. Herzog W. Epstein M. Evaluation of the Finite Element Software ABAQUS for Biomechanical Modelling of Biphasic Tissues. J. Biomech. 1997, 31(2):165-169. JBMCB5, 0021-9290, 10.1016/S0021-9290(97)00117-6.
30. Feenstra P.H. Taylor C.A. Drug Transport in Artery Walls: A Sequential Porohyperelastic-Transport Approach. Comput. Methods Biomech. Biomed. Eng. 2009, 12(3):263-276. CMBEFS, 1025-5842, 10.1080/10255840802459396.
31. Ferguson S.J. Ito K. Nolte L.P. Fluid Flow and Convective Transport of Solutes Within the Intervertebral Disc. J. Biomech. 2004, 37(2):213-221. JBMCB5, 0021-9290, 10.1016/S0021-9290(03)00250-1.
32. Hose D.R. Narracott A.J. Griffiths B. Mahmood S. Gunn J. Sweeney D. Lawford P.V. A Thermal Analogy for Modelling Drug Elution From Cardiovascular Stents. Comput. Methods Biomech. Biomed. Eng. 2004, 7(5):257-264. CMBEFS, 1025-5842, 10.1080/10255840412331303140.
33. Chen X. Sarntinoranont M. Biphasic Finite Element Model of Solute Transport for Direct Infusion Into Nervous Tissue. Ann. Biomed. Eng. 2007, 35(12):2145-2158. ABMECF, 0090-6964, 10.1007/s10439-007-9371-1.
34. Katchalsky A. Curran P.F. Nonequilibrium Thermodynamics in Biophysics 1975, and 4th ed., Harvard University Press, Cambridge, MA.
35. Rigby P.H. Characterization of Arteries and Tissue Engineered Vascular Grafts Using Experimental and Finite Element Models. Biomedical Engineering 2004, 279. University of Arizona, Tucson, AZ, p.
36. Yao H. Gu W.Y. Three-Dimensional Inhomogeneous Triphasic Finite-Element Analysis of Physical Signals and Solute Transport in Human Intervertebral Disc Under Axial Compression. J. Biomech. 2007, 40(9):2071-2077. JBMCB5, 0021-9290, 10.1016/j.jbiomech.2006.10.001.
37. Oomens C.W. van Campen D.H. Grootenboer H.J. A Mixture Approach to the Mechanics of Skin. J. Biomech. 1987, 20(9):877-85. JBMCB5, 0021-9290, 10.1016/0021-9290(87)90147-3.
38. Cruysberg L.P. Nuijts R.M. Geroski D.H. Gilbert J.A. Hendrikse F. Edelhauser H.F. The Influence of Intraocular Pressure on the Transscleral Diffusion of High-Molecular-Weight Compounds. Invest. Ophthalmol. Visual Sci. 2005, 46(10):3790-3794. IOVSDA, 0146-0404, 10.1167/iovs.04-1414.