Design optimization of scaffold microstructures using wall shear stress criterion towards regulated flow-induced erosion

Journal of Biomechanical Engineering

Volumn 133, Issue 8, 2011, Pages

  Chen, Yuhang ^a   Schellekens, Michiel ^b   Zhou, Shiwei ^a   Cadman, Joseph ^a   Li, Wei ^a   Appleyard, Richard ^c   Li, Qing ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c MACQUARIE UNIVERSITY   (Australia)

Author keywords

biodegradation; biofluid; scaffold; topology optimization; wall shear stress

Indexed keywords

BI-DIRECTIONAL EVOLUTIONARY STRUCTURAL OPTIMIZATIONS; BIOFLUID; CELLULAR RESPONSE; COMPUTATIONAL MODEL; DESIGN OPTIMIZATION; EFFECTIVE STIFFNESS; EROSION PROCESS; FINITE ELEMENT; HOMOGENIZATION TECHNIQUES; ILLUSTRATIVE EXAMPLES; MICRO-STRUCTURAL; POLYMER SCAFFOLDS; SOLID ELEMENTS; TISSUE SCAFFOLDS; WALL SHEAR STRESS;

BIODEGRADATION; BIOMECHANICS; DESIGN; EROSION; GROWTH KINETICS; HOMOGENIZATION METHOD; MECHANICAL PERMEABILITY; MICROSTRUCTURE; SCAFFOLDS; SHAPE OPTIMIZATION; SHEAR FLOW; SHEAR STRESS; STIFFNESS; STRUCTURAL OPTIMIZATION; TISSUE; WALLS (STRUCTURAL PARTITIONS);

SCAFFOLDS (BIOLOGY);

ELEMENT; TISSUE SCAFFOLD;

ARTICLE; BIODEGRADATION; EQUIPMENT DESIGN; FLOW; MATHEMATICAL MODEL; MEMBRANE PERMEABILITY; MICROFLUIDICS; PROCESS OPTIMIZATION; SHEAR STRESS; BIOMECHANICS; HYDRODYNAMICS; MECHANICAL STRESS; METHODOLOGY; PROSTHESIS;

BIOMECHANICS; HYDRODYNAMICS; PROSTHESIS DESIGN; STRESS, MECHANICAL; TISSUE SCAFFOLDS;

EID: 80053231234     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4004918     Document Type: Article

References (58)

1. Langer, R., and Vacanti, J. P., 1993, "Tissue Engineering" Science, 260(5110), pp. 920-926. (Pubitemid 23209960)
2. Kwon, R. Y., and Jacobs, C. R., 2007, "Time-Dependent Deformations in Bone Cells Exposed to Fluid Flow in Vitro: Investigating the Role of Cellular Deformation in Fluid Flow-Induced Signaling" J. Biomech., 40(14), pp. 3162-3168. (Pubitemid 47532091)
3. Davies, P. F., 1995, "Flow-Mediated Endothelial Mechanotransduction" Physiol. Rev., 75(3), pp. 519-560.
4. Chen, H. B., Sundararaj, U., and Nandakumar, K., 2004, "Modeling of Polymer Melting, Drop Deformation, and Breakup Under Shear Flow" Polym. Eng. Sci., 44(7), pp. 1258-1266.
5. Lin, B., Sundararaj, U., Mighri, F., and Huneault, M. A., 2003, "Erosion and Breakup of Polymer Drops Under Simple Shear in High Viscosity Ratio Systems" Polym. Eng. Sci., 43(4), pp. 891-904.
6. Chen, Y. H., Zhou, S. W., and Li, Q., 2011, "Microstructure Design of Biodegradable Scaffold and its Effect on Tissue Regeneration" Biomaterials, 32(22), pp. 5003-5014.
7. Jacobs, C. R. Temiyasathit, S. and Castillo, A. B., 2010, "Osteocyte Mechanobiology and Pericellular Mechanics" Annu. Rev. Biomed. Eng., pp. 369-400.
8. Meinel, L., Karageorgiou, V., Fajardo, R., Snyder, B., Shinde-Patil, V., Zichner, L., Kaplan, D., Langer, R., and Vunjak-Novakovic, G., 2004, "Bone Tissue Engineering Using Human Mesenchymal Stem Cells: Effects of Scaffold Material and Medium Flow" Ann. Biomed. Eng., 32(1), pp. 112-122.
9. Sakai, K., Mohtai, M., and Iwamoto, Y., 1998, "Fluid Shear Stress Increases Transforming Growth Factor Beta 1 Expression in Human Osteoblast-Like Cells: Modulation by Cation Channel Blockades" Calcif. Tissue Int., 63(6), pp. 515-520. (Pubitemid 28531802)
10. Gao, H., Ayyaswamy, P. S., and Ducheyne, P., 1997, "Dynamics of a mMicrocarrier Particle in the Simulated Microgravity Environment of a Rotating-Wall Vessel" Microgravity Sci. Technol., 10(3), pp. 154-165. (Pubitemid 127647079)
11. Adachi, T., Kameo, Y., and Hojo, M., 2010, "Trabecular Bone Remodelling Simulation Considering Osteocytic Response to Fluid-Induced Shear Stress" Philos. Trans. R. Soc. London, Ser. A 368(1920), pp. 2669-2682.
12. Provin, C., Takano, K., Sakai, Y., Fujii, T., and Shirakashi, R., 2008, "A Method for the Design of 3D Scaffolds for High-Density Cell Attachment and Determination of Optimum Perfusion Culture Conditions" J. Biomech., 41(7), pp. 1436-1449.
13. Vanapalli, S. A., Ceccio, S. L., and Solomon, M. J., 2006, "Universal Scaling for Polymer Chain Scission in Turbulence" Proc. Natl. Acad. Sci. U. S. A., 103(45), pp. 16660-16665. (Pubitemid 44737309)
14. Horn, A. F., 1984, "Midpoint Scission of Macromolecules in Dilute-Solution in Turbulent-flow" Nature, 312(5990), pp. 140-141.
15. Caruso, M. M. Davis, D. A. Shen, Q. Odom, S. A. Sottos, N. R. White, S. R. and Moore, J. S., 2009, "Mechanically-Induced Chemical Changes in Polymeric Materials" Chem. Rev., 109(11), pp. 5755-5798.
16. Osborne, J. M. O'Dea, R. D. Whiteley, J. P. Byrne, H. M. and Waters, S. L., 2010, "The Influence of Bioreactor Geometry and the Mechanical Environment on Engineered Tissues" ASME J. Biomech. Eng., 132(5), 12.
17. Kao, S. V. and Mason, S. G., 1975, "Dispersion of Particles by Shear" Nature, 253(5493), pp. 619-621.
18. Bawolin, N. K. Li, M. G. Chen, X. B. and Zhang, W. J., 2010, "Modeling Material-Degradation-Induced Elastic Property of Tissue Engineering Scaffolds" ASME J. Biomech. Eng., 132(11), 7.
19. Hollister, S. J., 2005, "Porous Scaffold Design for Tissue Engineering" Nature Mater., 4(7), pp. 518-524. (Pubitemid 40952745)
20. Hollister, S. J., 2009, "Scaffold Design and Manufacturing: from Concept to Clinic" Adv. Mater., 21(32-33), pp. 3330-3342.
21. Sun, W., Darling, A., Starly, B., and Nam, J., 2004, "Computer-Aided Tissue Engineering: Overview, Scope and Challenges" Biotechnol. Appl. Biochem., 39, pp. 29-47. (Pubitemid 38200933)
22. Khalil, S., and Sun, W., 2009, "Bioprinting Endothelial Cells With Alginate for 3D Tissue Constructs" ASME J. Biomech. Eng., 131(11), 8.
23. Challis, V. J., Roberts, A. P., Grotowski, J. F., Zhang, L. C., and Sercombe, T. B., 2010, "Prototypes for Bone Implant Scaffolds Designed via Topology Optimization and Manufactured by Solid Freeform Fabrication" Adv. Eng. Mater., 12(11), pp. 1106-1110.
24. Lin, C. Y. Kikuchi, N. and Hollister, S. J., 2004, "A Novel Method for Biomaterial Scaffold Internal Architecture Design to Match Bone Elastic Properties with Desired Porosity" J. Biomech., 37(5), pp. 623-636. (Pubitemid 38445024)
25. Zhou, S. W. and Li, Q., 2007, "The Relation of Constant Mean Curvature Surfaces to Multiphase Composites with Extremal Thermal Conductivity" J. Phys. D:Appl. Phys., 40, pp. 6083-6093. (Pubitemid 47469854)
26. Torquato, S. Hyun, S. and Donev, A., 2002, "Multifunctional Composites: Optimizing Microstructures for Simultaneous Transport of Heat and Electricity" Phys. Rev. Lett., 89(26).
27. Torquato, S. Hyun, S. and Donev, A., 2003, "Optimal Design of Manufacturable Three-Dimensional Composites with Multifunctional Characteristics" J. Appl. Phys., 94(9), pp. 5748-5755.
28. Chen, Y. H. Zhou, S. W. and Li, Q., 2009, "Computational Design for Multifunctional Microstructural Composites" Int. J. Mod. Phys. B, 23(6-7), pp. 1345-1351.
29. Chen, Y. H. Zhou, S. W. and Li, Q., 2010, "Multiobjective Topology Optimization for Finite Periodic Structures" Comput. Struct., 88(11-12), pp. 806-811.
30. Guest, J. K. and Prevost, J. H., 2006b, "Optimizing Multifunctional Materials: Design of Microstructures for Maximized Stiffness and Fluid Permeability" Int. J. Solids Struct., 43(22-23), pp. 7028-7047. (Pubitemid 44444964)
31. Kang, H. Lin, C. Y. and Hollister, S. J., 2010, "Topology Optimization of Three Dimensional Tissue Engineering Scaffold Architectures for Prescribed Bulk Modulus and Diffusivity" Struct. Multidiscip. Optim., 42(4), pp. 633-644.
32. Huang, X. and Xie, Y. M., 2009, "Bi-Directional Evolutionary Topology Optimization of Continuum Structures with One or Multiple Materials" Comput. Mech., 43(3), pp. 393-401.
33. Huang, X. D. and Xie, Y. M., 2010, Evolutionary Topology Optimization of Continuum Structures: Methods and Applications, Wiley, NY.
34. Jacobs, C. R., Yellowley, C. E., Davis, B. R., Zhou, Z., Cimbala, J. M., and Donahue, H. J., 1998, "Differential Effect of Steady Versus Oscillating Flow on Bone Cells" J. Biomech., 31(11), pp. 969-976. (Pubitemid 28561790)
35. Khaled, A. R. A., and Vafai, K., 2003, "The Role of Porous Media in Modeling Flow and Heat Transfer in Biological Tissues" Int. J. Heat Mass Transfer 46(26), pp. 4989-5003. (Pubitemid 37212286)
36. Yeatts, A. B. and Fisher, J. P., 2011, "Bone Tissue Engineering Bioreactors: Dynamic Culture and the Influence of Shear Stress" Bone, 48(2), pp. 171-181.
37. Maes, F. Ransbeeck, P. Van Oosterwyck, H. and Verdonck, P., 2009, "Modeling Fluid Flow Through Irregular Scaffolds for Perfusion Bioreactors" Biotechnol. Bioeng., 103, pp. 621-630.
38. Querin, O. M. Steven, G. P. and Xie, Y. M., 1998, "Evolutionary Structural Optimisation (ESO) Using a Bidirectional Algorithm" Eng. Comput., 15(8), pp. 1031-1048. (Pubitemid 128598153)
39. Li, Q. Steven, G. P. and Xie, Y. M., 2001, "A Simple Checkerboard Suppression Algorithm for Evolutionary Structural Optimization" Struct. Multidiscip. Optim., 22(3), pp. 230-239. (Pubitemid 33046333)
40. Chen, Y. H. Zhou, S. W. and Li, Q., 2011, "Mathematical Modeling of Degradation for Bulk-Erosive Polymers: Applications in Tissue Engineering Scaffolds and Drug Delivery Systems" Acta Biomater., 7(3), pp. 1140-1149.
41. Culter, J. D., Zakin, J. L., and Patterson, G. K., 1975, "Mechanical Degradation of Dilute-Solutions of High Polymers in Capillary Tube Flow" J. Appl. Polym. Sci., 19(12), pp. 3235-3240.
42. Hassani, B., and Hinton, E., 1998, "A Review of Homogenization and Topology Optimization II - Analytical and Numerical Solution of Homogenization Equations" Comput. Struct., 69(6), pp. 719-738. (Pubitemid 128409877)
43. Zhou, S. and Li, Q., 2008, "Computational Design of Multi-Phase Microstructural Materials for Extremal Conductivity" Comput. Mater. Sci., 43(3), pp. 549-564.
44. 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. (Pubitemid 40126466)
45. 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. (Pubitemid 43028504)
46. Cioffi, M. Boschetti, F. Raimondi, M. T. and Dubini, G., 2006, "Modeling eEvaluation of the fFluid-dDynamic mMicroenvironment in Tissue-Engineered Constructs: A Micro-CT Based Model" Biotechnol. Bioeng., 93(3), pp. 500-510. (Pubitemid 43232176)
47. Milan, J. L. Planell, J. A. and Lacroix, D., 2009, "Computational Modelling of the Mechanical Environment of Osteogenesis within a Polylactic Acid-Calcium Phosphate Glass Scaffold" Biomaterials, 30(25), pp. 4219-4226.
48. Steven, G. P. Li, Q. and Xie, Y. M., 2000, "Evolutionary tTopology and sShape dDesign for gGeneral pPhysical fField pProblems" Comput. Mech., 26(2), pp. 129-139.
49. Borrvall, T. and Petersson, J., 2003, "Topology Optimization of Fluids in Stokes Flow" Int. J. Numer. Methods Fluids, 41(1), pp. 77-107. (Pubitemid 36161911)
50. Zhou, S. W. and Li, Q., 2008, "A Variational Level Set Method for the Topology Optimization of Steady-State Navier-Stokes Flow" J. Comput. Phys., 227(24), pp. 10178-10195.
51. Rajagopalan, S. and Robb, R. A., 2006, "Schwarz Meets Schwann: Design and Fabrication of Biomorphic and Durataxic Tissue Engineering Scaffolds" Med. Image Anal., 10, pp. 693-712. (Pubitemid 44375495)
52. Hollister, S. J. Fyhrie, D. P. Jepsen, K. J. and Goldstein, S. A., 1991, "Application of Homogenization Theory to the Study of Trabecular Bone Mechanics" J. Biomech., 24(9), pp. 825-839.
53. Sturm, S. Zhou, S. W. Mai, Y. W. and Li, Q., 2010, "On Stiffness of Scaffolds for Bone Tissue Engineering - A Numerical Study" J. Biomech., 43, pp. 1738-1744.
54. Sanz-Herrera, J. A. Garcia-Aznar, J. M. and Doblare, M., 2009, "On Scaffold Designing For Bone Regeneration: A Computational Multiscale Approach" Acta Biomater., 5(1), pp. 219-229.
55. Victoria, M. Querin, O. M. and Marti, P., 2010, "Topology Design for Multiple Loading Conditions of Continuum Structures Using Isolines and Isosurfaces" Finite Elem. Anal. Des., 46(3), pp. 229-237.
56. Chen, Y. H. Zhou, S. W. Cadman, J. and Li, Q., 2010, "Design of Cellular Porous Biomaterials for Wall Shear Stress Criterion" Biotechnol. Bioeng., 107(4), pp. 737-746.
57. Adachi, T. Osako, Y. Tanaka, M. Hojo, M. and Hollister, S. J., 2006, "Framework for Optimal Design of Porous Scaffold Microstructure by Computational Simulation of Bone Regeneration" Biomaterials, 27(21), pp. 3964-3972.
58. Sutradhar, A. Paulino, G. H. Miller, M. J. and Nguyen, T. H., 2010, "Topological Optimization for Designing Patient-Specific Large Craniofacial Segmental Bone Replacements" Proc. Natl. Acad. Sci. U.S.A., 107(30), pp. 13222-13227.