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Volumn 13, Issue 6, 2014, Pages 1361-1371

A computational model for cell/ECM growth on 3D surfaces using the level set method: a bone tissue engineering case study

Author keywords

Curvature based growth; Level set method; Scaffold design; Tissue engineering

Indexed keywords

CELL ENGINEERING; CELL GROWTH; DROP BREAKUP; HYDROGELS; LEVEL MEASUREMENT; NUMERICAL METHODS; PORE SIZE; SCAFFOLDS (BIOLOGY); TISSUE;

EID: 84919441983     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-014-0577-5     Document Type: Article
Times cited : (95)

References (41)
  • 1
    • 43449112045 scopus 로고    scopus 로고
    • Micro-scale dynamic simulation of erythrocyte–platelet interaction in blood flow
    • AlMomani T, Udaykumar HS, Marshall JS, Chandran KB (2008) Micro-scale dynamic simulation of erythrocyte–platelet interaction in blood flow. Ann Biomed Eng 36(6):905–920. doi:10.1007/s10439-008-9478-z
    • (2008) Ann Biomed Eng , vol.36 , Issue.6 , pp. 905-920
    • AlMomani, T.1    Udaykumar, H.S.2    Marshall, J.S.3    Chandran, K.B.4
  • 3
    • 84879608170 scopus 로고    scopus 로고
    • Geometry as a factor for tissue growth: towards shape optimization of tissue engineering scaffolds
    • Bidan CM, Kommareddy KP, Rumpler M, Kollmannsberger P, Fratzl P, Dunlop JW (2013a) Geometry as a factor for tissue growth: towards shape optimization of tissue engineering scaffolds. Adv Healthc Mater 2(1):186–194. doi:10.1002/adhm.201200159
    • (2013) Adv Healthc Mater , vol.2 , Issue.1 , pp. 186-194
    • Bidan, C.M.1    Kommareddy, K.P.2    Rumpler, M.3    Kollmannsberger, P.4    Fratzl, P.5    Dunlop, J.W.6
  • 4
    • 84886411134 scopus 로고    scopus 로고
    • Dunlop JW: A three-dimensional model for tissue deposition on complex surfaces. Comput Methods Biomech Biomed Eng
    • Bidan CM, Wang FM, Dunlop JW (2013) A three-dimensional model for tissue deposition on complex surfaces. Comput Methods Biomech Biomed Eng. doi:10.1080/10255842.2013.774384
    • (2013) Wang FM
    • Bidan, C.M.1
  • 5
    • 14344258977 scopus 로고    scopus 로고
    • Stability of the SUPG finite element method for transient advection-diffusion problems
    • Bochev PB, Gunzburger MD, Shadid JN (2004) Stability of the SUPG finite element method for transient advection-diffusion problems. Comput Method Appl Mech 193(23–26):2301–2323. doi:10.1016/j.cma.2004.01.026
    • (2004) Comput Method Appl Mech , vol.193 , Issue.23-26 , pp. 2301-2323
    • Bochev, P.B.1    Gunzburger, M.D.2    Shadid, J.N.3
  • 6
    • 84858795870 scopus 로고    scopus 로고
    • Ectopic bone formation by 3D porous calcium phosphate-Ti6Al4V hybrids produced by perfusion electrodeposition
    • Chai YC, Kerckhofs G, Roberts SJ, Van Bael S, Schepers E, Vleugels J, Luyten FP, Schrooten J (2012) Ectopic bone formation by 3D porous calcium phosphate-Ti6Al4V hybrids produced by perfusion electrodeposition. Biomaterials 33(16):4044–4058. doi:10.1016/j.biomaterials.2012.02.026
    • (2012) Biomaterials , vol.33 , Issue.16 , pp. 4044-4058
    • Chai, Y.C.1    Kerckhofs, G.2    Roberts, S.J.3    Van Bael, S.4    Schepers, E.5    Vleugels, J.6    Luyten, F.P.7    Schrooten, J.8
  • 7
    • 84862909039 scopus 로고    scopus 로고
    • Multi-level factorial analysis of Ca2+/Pi supplementation as bio-instructive media for in vitro biomimetic engineering of three-dimensional osteogenic hybrids
    • Chai YC, Roberts SJ, Van Bael S, Chen Y, Luyten FP, Schrooten J (2012b) Multi-level factorial analysis of Ca2+/Pi supplementation as bio-instructive media for in vitro biomimetic engineering of three-dimensional osteogenic hybrids. Tissue Eng Part C Methods 18(2):90–103. doi:10.1089/ten.TEC.2011.0248
    • (2012) Tissue Eng Part C Methods , vol.18 , Issue.2 , pp. 90-103
    • Chai, Y.C.1    Roberts, S.J.2    Van Bael, S.3    Chen, Y.4    Luyten, F.P.5    Schrooten, J.6
  • 9
    • 78649995434 scopus 로고    scopus 로고
    • A theoretical model for tissue growth in confined geometries
    • Dunlop JWC, Fischer FD, Gamsjager E, Fratzl P (2010) A theoretical model for tissue growth in confined geometries. J Mech Phys Solids 58(8):1073–1087. doi:10.1016/j.jmps.2010.04.008
    • (2010) J Mech Phys Solids , vol.58 , Issue.8 , pp. 1073-1087
    • Dunlop, J.W.C.1    Fischer, F.D.2    Gamsjager, E.3    Fratzl, P.4
  • 10
    • 79960277917 scopus 로고    scopus 로고
    • A Hitchhiker’s guide to mechanobiology
    • Eyckmans J, Boudou T, Yu X, Chen CS (2011) A Hitchhiker’s guide to mechanobiology. Dev Cell 21(1):35–47. doi:10.1016/j.devcel.2011.06.015
    • (2011) Dev Cell , vol.21 , Issue.1 , pp. 35-47
    • Eyckmans, J.1    Boudou, T.2    Yu, X.3    Chen, C.S.4
  • 11
    • 84873197336 scopus 로고    scopus 로고
    • Modelling the role of surface stress on the kinetics of tissue growth in confined geometries
    • Gamsjager E, Bidan CM, Fischer FD, Fratzl P, Dunlop JW (2013) Modelling the role of surface stress on the kinetics of tissue growth in confined geometries. Acta Biomater 9(3):5531–5543. doi:10.1016/j.actbio.2012.10.020
    • (2013) Acta Biomater , vol.9 , Issue.3 , pp. 5531-5543
    • Gamsjager, E.1    Bidan, C.M.2    Fischer, F.D.3    Fratzl, P.4    Dunlop, J.W.5
  • 12
    • 2942715248 scopus 로고    scopus 로고
    • Human mesenchymal stem cells tissue development in 3D PET matrices
    • Grayson WL, Ma T, Bunnell B (2004) Human mesenchymal stem cells tissue development in 3D PET matrices. Biotechnol Progr 20(3):905–912. doi:10.1021/bp034296z
    • (2004) Biotechnol Progr , vol.20 , Issue.3 , pp. 905-912
    • Grayson, W.L.1    Ma, T.2    Bunnell, B.3
  • 13
    • 84877994136 scopus 로고    scopus 로고
    • New development in freefem++
    • Hecht F (2012) New development in freefem++. J Numer Math 20(3–4):251–265. doi:10.1515/jnum-2012-0013
    • (2012) J Numer Math , vol.20 , Issue.3-4 , pp. 251-265
    • Hecht, F.1
  • 14
    • 84877671532 scopus 로고    scopus 로고
    • Physical cues of biomaterials guide stem cell differentiation fate
    • Higuchi A, Ling QD, Chang Y, Hsu ST, Umezawa A (2013) Physical cues of biomaterials guide stem cell differentiation fate. Chem Rev 113(5):3297–3328. doi:10.1021/cr300426x
    • (2013) Chem Rev , vol.113 , Issue.5 , pp. 3297-3328
    • Higuchi, A.1    Ling, Q.D.2    Chang, Y.3    Hsu, S.T.4    Umezawa, A.5
  • 15
    • 33745478676 scopus 로고    scopus 로고
    • Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
    • Hogea CS, Murray BT, Sethian JA (2006) Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method. J Math Biol 53(1):86–134. doi:10.1007/s00285-006-0378-2
    • (2006) J Math Biol , vol.53 , Issue.1 , pp. 86-134
    • Hogea, C.S.1    Murray, B.T.2    Sethian, J.A.3
  • 16
    • 0035988665 scopus 로고    scopus 로고
    • Optimal design and fabrication of scaffolds to mimic tissue properties and satisfy biological constraints
    • Hollister SJ, Maddox RD, Taboas JM (2002) Optimal design and fabrication of scaffolds to mimic tissue properties and satisfy biological constraints. Biomaterials 23(20):4095–4103
    • (2002) Biomaterials , vol.23 , Issue.20 , pp. 4095-4103
    • Hollister, S.J.1    Maddox, R.D.2    Taboas, J.M.3
  • 18
    • 84876478316 scopus 로고    scopus 로고
    • Pore geometry regulates early stage human bone marrow cell tissue formation and organisation
    • Knychala J, Bouropoulos N, Catt CJ, Katsamenis OL, Please CP, Sengers BG (2013) Pore geometry regulates early stage human bone marrow cell tissue formation and organisation. Ann Biomed Eng 41(5):917–930. doi:10.1007/s10439-013-0748-z
    • (2013) Ann Biomed Eng , vol.41 , Issue.5 , pp. 917-930
    • Knychala, J.1    Bouropoulos, N.2    Catt, C.J.3    Katsamenis, O.L.4    Please, C.P.5    Sengers, B.G.6
  • 20
    • 0041620496 scopus 로고    scopus 로고
    • The growth and the fluid dynamics of protein crystals and soft organic tissues: models and simulations, similarities and differences
    • Lappa M (2003a) The growth and the fluid dynamics of protein crystals and soft organic tissues: models and simulations, similarities and differences. J Theor Biol 224(2):225–240. doi:10.1016/S0022-5193(03)00160-7
    • (2003) J Theor Biol , vol.224 , Issue.2 , pp. 225-240
    • Lappa, M.1
  • 21
    • 0242386325 scopus 로고    scopus 로고
    • Organic tissues in rotating bioreactors: fluid-mechanical aspects, dynamic growth models, and morphological evolution
    • Lappa M (2003b) Organic tissues in rotating bioreactors: fluid-mechanical aspects, dynamic growth models, and morphological evolution. Biotechnol Bioeng 84(5):518–532. doi:10.1002/bit.10821
    • (2003) Biotechnol Bioeng , vol.84 , Issue.5 , pp. 518-532
    • Lappa, M.1
  • 22
    • 7044251624 scopus 로고    scopus 로고
    • A CFD level-set method for soft tissue growth: theory and fundamental equations
    • Lappa M (2005) A CFD level-set method for soft tissue growth: theory and fundamental equations. J Biomech 38(1):185–190. doi:10.1016/j.jbiomech.2004.02.037
    • (2005) J Biomech , vol.38 , Issue.1 , pp. 185-190
    • Lappa, M.1
  • 23
    • 19644367664 scopus 로고    scopus 로고
    • Synthetic biomaterials as instructive extracellular microenvironments for morphogenesis in tissue engineering
    • Lutolf MP, Hubbell JA (2005) Synthetic biomaterials as instructive extracellular microenvironments for morphogenesis in tissue engineering. Nat Biotechnol 23(1):47–55. doi:10.1038/nbt1055
    • (2005) Nat Biotechnol , vol.23 , Issue.1 , pp. 47-55
    • Lutolf, M.P.1    Hubbell, J.A.2
  • 24
    • 33645796494 scopus 로고    scopus 로고
    • Morphodynamic profiling of protrusion phenotypes
    • Machacek M, Danuser G (2006) Morphodynamic profiling of protrusion phenotypes. Biophys J 90(4):1439–1452. doi:10.1529/biophysj.105.070383
    • (2006) Biophys J , vol.90 , Issue.4 , pp. 1439-1452
    • Machacek, M.1    Danuser, G.2
  • 26
    • 79951576277 scopus 로고    scopus 로고
    • The influence of the scaffold design on the distribution of adhering cells after perfusion cell seeding
    • Melchels FP, Tonnarelli B, Olivares AL, Martin I, Lacroix D, Feijen J, Wendt DJ, Grijpma DW (2011) The influence of the scaffold design on the distribution of adhering cells after perfusion cell seeding. Biomaterials 32(11):2878–2884. doi:10.1016/j.biomaterials.2011.01.023
    • (2011) Biomaterials , vol.32 , Issue.11 , pp. 2878-2884
    • Melchels, F.P.1    Tonnarelli, B.2    Olivares, A.L.3    Martin, I.4    Lacroix, D.5    Feijen, J.6    Wendt, D.J.7    Grijpma, D.W.8
  • 28
    • 84896852394 scopus 로고    scopus 로고
    • Three dimensional characterization of tissue-engineered constructs by contrast enhanced nanofocus computed tomography. Tissue Eng Part C Methods
    • Papantoniou I, Sonnaert M, Geris L, Luyten FP, Schrooten J, Kerckhofs G (2013a) Three dimensional characterization of tissue-engineered constructs by contrast enhanced nanofocus computed tomography. Tissue Eng Part C Methods. doi:10.1089/ten.TEC.2013.0041
    • (2013) doi:10.1089/ten.TEC.2013.0041
    • Papantoniou, I.1    Sonnaert, M.2    Geris, L.3    Luyten, F.P.4    Schrooten, J.5    Kerckhofs, G.6
  • 29
    • 84879372803 scopus 로고    scopus 로고
    • Schrooten JI: Process quality engineering for bioreactor-driven manufacturing of tissue-engineered constructs for bone regeneration. Tissue Eng Part C Methods
    • Papantoniou II, Chai YC, Luyten FP, Schrooten JI (2013b) Process quality engineering for bioreactor-driven manufacturing of tissue-engineered constructs for bone regeneration. Tissue Eng Part C Methods. doi:10.1089/ten.TEC.2012.0526
    • (2013) Luyten FP
    • Papantoniou, I.I.1    Chai, Y.C.2
  • 32
    • 0032631799 scopus 로고    scopus 로고
    • Fast marching methods
    • Sethian JA (1999) Fast marching methods. Siam Rev 41(2):199–235. doi:10.1137/S0036144598347059
    • (1999) Siam Rev , vol.41 , Issue.2 , pp. 199-235
    • Sethian, J.A.1
  • 33
    • 14744273475 scopus 로고    scopus 로고
    • Mechanical feedback as a possible regulator of tissue growth
    • Shraiman BI (2005) Mechanical feedback as a possible regulator of tissue growth. Proc Natl Acad Sci USA 102(9):3318–3323. doi:10.1073/pnas.0404782102
    • (2005) Proc Natl Acad Sci USA , vol.102 , Issue.9 , pp. 3318-3323
    • Shraiman, B.I.1
  • 34
    • 79251617418 scopus 로고    scopus 로고
    • Three-dimensional plotted scaffolds with controlled pore size gradients: effect of scaffold geometry on mechanical performance and cell seeding efficiency
    • Sobral JM, Caridade SG, Sousa RA, Mano JF, Reis RL (2011) Three-dimensional plotted scaffolds with controlled pore size gradients: effect of scaffold geometry on mechanical performance and cell seeding efficiency. Acta Biomater 7(3):1009–1018. doi:10.1016/j.actbio.2010.11.003
    • (2011) Acta Biomater , vol.7 , Issue.3 , pp. 1009-1018
    • Sobral, J.M.1    Caridade, S.G.2    Sousa, R.A.3    Mano, J.F.4    Reis, R.L.5
  • 35
    • 84861603798 scopus 로고    scopus 로고
    • The effect of pore geometry on the in vitro biological behavior of human periosteum-derived cells seeded on selective laser-melted Ti6Al4V bone scaffolds
    • Van Bael S, Chai YC, Truscello S, Moesen M, Kerckhofs G, Van Oosterwyck H, Kruth IP, Schrooten J (2012) The effect of pore geometry on the in vitro biological behavior of human periosteum-derived cells seeded on selective laser-melted Ti6Al4V bone scaffolds. Acta Biomater 8(7):2824–2834. doi:10.1016/j.actbio.2012.04.001
    • (2012) Acta Biomater , vol.8 , Issue.7 , pp. 2824-2834
    • Van Bael, S.1    Chai, Y.C.2    Truscello, S.3    Moesen, M.4    Kerckhofs, G.5    Van Oosterwyck, H.6    Kruth, I.P.7    Schrooten, J.8
  • 36
    • 84861603798 scopus 로고    scopus 로고
    • The effect of pore geometry on the in vitro biological behavior of human periosteum-derived cells seeded on selective laser-melted Ti6Al4V bone scaffolds
    • Van Bael S, Chai YC, Truscello S, Moesen M, Kerckhofs G, Van Oosterwyck H, Kruth JP, Schrooten J (2012) The effect of pore geometry on the in vitro biological behavior of human periosteum-derived cells seeded on selective laser-melted Ti6Al4V bone scaffolds. Acta Biomater 8(7):2824–2834. doi:10.1016/j.actbio.2012.04.001
    • (2012) Acta Biomater , vol.8 , Issue.7 , pp. 2824-2834
    • Van Bael, S.1    Chai, Y.C.2    Truscello, S.3    Moesen, M.4    Kerckhofs, G.5    Van Oosterwyck, H.6    Kruth, J.P.7    Schrooten, J.8
  • 37
    • 79960653088 scopus 로고    scopus 로고
    • Micro-CT-based improvement of geometrical and mechanical controllability of selective laser melted Ti6Al4V porous structures
    • Van Bael S, Kerckhofs G, Moesen M, Pyka G, Schrooten J, Kruth JP (2011) Micro-CT-based improvement of geometrical and mechanical controllability of selective laser melted Ti6Al4V porous structures. Mater Sci Eng A Struct 528(24):7423–7431. doi:10.1016/j.msea.2011.06.045
    • (2011) Mater Sci Eng A Struct , vol.528 , Issue.24 , pp. 7423-7431
    • Van Bael, S.1    Kerckhofs, G.2    Moesen, M.3    Pyka, G.4    Schrooten, J.5    Kruth, J.P.6
  • 38
    • 33847624166 scopus 로고    scopus 로고
    • Nondestructive micro-computed tomography for biological imaging and quantification of scaffold-bone interaction in vivo
    • van Lenthe GH, Hagenmuller H, Bohner M, Hollister SJ, Meinel L, Muller R (2007) Nondestructive micro-computed tomography for biological imaging and quantification of scaffold-bone interaction in vivo. Biomaterials 28(15):2479–2490
    • (2007) Biomaterials , vol.28 , Issue.15 , pp. 2479-2490
    • van Lenthe, G.H.1    Hagenmuller, H.2    Bohner, M.3    Hollister, S.J.4    Meinel, L.5    Muller, R.6
  • 40
    • 0035110066 scopus 로고    scopus 로고
    • Development and characterization of tissue-engineered aortic valves
    • Zeltinger J, Landeen LK, Alexander HG, Kidd ID, Sibanda B (2001a) Development and characterization of tissue-engineered aortic valves. Tissue Eng 7(1):9–22. doi:10.1089/107632701300003250
    • (2001) Tissue Eng , vol.7 , Issue.1 , pp. 9-22
    • Zeltinger, J.1    Landeen, L.K.2    Alexander, H.G.3    Kidd, I.D.4    Sibanda, B.5
  • 41
    • 0034765279 scopus 로고    scopus 로고
    • Effect of pore size and void fraction on cellular adhesion, proliferation, and matrix deposition
    • Zeltinger J, Sherwood JK, Graham DA, Mueller R, Griffith LG (2001b) Effect of pore size and void fraction on cellular adhesion, proliferation, and matrix deposition. Tissue Eng 7(5):557–572. doi:10.1089/107632701753213183
    • (2001) Tissue Eng , vol.7 , Issue.5 , pp. 557-572
    • Zeltinger, J.1    Sherwood, J.K.2    Graham, D.A.3    Mueller, R.4    Griffith, L.G.5


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