메뉴 건너뛰기




Volumn 30, Issue 1, 2013, Pages 21-44

A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor

Author keywords

Cell proliferation; Fluid flow; In vitro tissue engineering; Mathematical model; Nutrient transport

Indexed keywords

ADVECTION; BIOCONVERSION; BIOREACTORS; CELL ENGINEERING; CONTINUUM MECHANICS; DIFFUSION IN LIQUIDS; FINITE ELEMENT METHOD; FLOW OF FLUIDS; NUTRIENTS; PARTIAL DIFFERENTIAL EQUATIONS; POROSITY; SCAFFOLDS (BIOLOGY); SHEAR FLOW; SHEAR STRESS; TISSUE; TISSUE REGENERATION;

EID: 84875022343     PISSN: 14778599     EISSN: 14778602     Source Type: Journal    
DOI: 10.1093/imammb/dqr022     Document Type: Article
Times cited : (37)

References (37)
  • 1
    • 3142762332 scopus 로고    scopus 로고
    • Shear stress inhibits while disuse promotes osteocyte apoptosis
    • BAKKER, A., KLEIN-NULEND, J. & BURGER, E. (2004) Shear stress inhibits while disuse promotes osteocyte apoptosis. Biochem. Biophys. Res. Commun., 320, 1163-1168.
    • (2004) Biochem. Biophys. Res. Commun. , vol.320 , pp. 1163-1168
    • Bakker, A.1    Klein-Nulend, J.2    Burger, E.3
  • 2
    • 0003670270 scopus 로고    scopus 로고
    • An Introduction to Fluid Dynamics
    • Cambridge: Cambridge University Press
    • BATCHELOR, G. (2000) An Introduction to Fluid Dynamics. Cambridge: Cambridge University Press.
    • (2000)
    • Batchelor, G.1
  • 3
    • 0003410201 scopus 로고
    • Dynamics of Fluids in Porous Media
    • New York: Dover Publications
    • BEAR, J. (1988) Dynamics of Fluids in Porous Media. New York: Dover Publications.
    • (1988)
    • Bear, J.1
  • 4
    • 34147223380 scopus 로고    scopus 로고
    • Enhancing cell seeding of scaffolds in tissue engineering through manipulation of hydrodynamic parameters
    • BUENO, E., LAEVSKY, G. & BARABINO, G. (2007) Enhancing cell seeding of scaffolds in tissue engineering through manipulation of hydrodynamic parameters. J. Biotechnol., 129, 516-531.
    • (2007) J. Biotechnol. , vol.129 , pp. 516-531
    • Bueno, E.1    Laevsky, G.2    Barabino, G.3
  • 5
    • 0345015415 scopus 로고    scopus 로고
    • Effects of medium perfusion rate on cell-seeded three-dimensional bone constructs in vitro
    • CARTMELL, S., PORTER, B., GARCÍA, A. & GULDBERG, R. (2003) Effects of medium perfusion rate on cell-seeded three-dimensional bone constructs in vitro. Tissue Eng., 9, 1197-1203.
    • (2003) Tissue Eng. , vol.9 , pp. 1197-1203
    • Cartmell, S.1    Porter, B.2    García, A.3    Guldberg, R.4
  • 6
    • 34547613758 scopus 로고    scopus 로고
    • Enhancement of cell growth in tissue-engineering constructs under direct perfusion: modeling and simulation
    • CHUNG, C., CHEN, C., CHEN, C. & TSENG, C. (2007) Enhancement of cell growth in tissue-engineering constructs under direct perfusion: modeling and simulation. Biotechnol. Bioeng., 97, 1603-1616.
    • (2007) Biotechnol. Bioeng. , vol.97 , pp. 1603-1616
    • Chung, C.1    Chen, C.2    Chen, C.3    Tseng, C.4
  • 7
    • 41049102178 scopus 로고    scopus 로고
    • A compact computational model for cell construct development in perfusion culture
    • CHUNG, C., CHEN, C., LIN, T. & TSENG, C. (2008) A compact computational model for cell construct development in perfusion culture. Biotechnol. Bioeng., 99, 1535-1541.
    • (2008) Biotechnol. Bioeng. , vol.99 , pp. 1535-1541
    • Chung, C.1    Chen, C.2    Lin, T.3    Tseng, C.4
  • 8
    • 33845335851 scopus 로고    scopus 로고
    • Mathematical modeling of three-dimensional cell cultures in perfusion bioreactors
    • COLETTI, F., MACCHIETTO, S. & ELVASSORE, N. (2006) Mathematical modeling of three-dimensional cell cultures in perfusion bioreactors. Ind. Eng. Chem. Res., 45, 8158-8169.
    • (2006) Ind. Eng. Chem. Res. , vol.45 , pp. 8158-8169
    • Coletti, F.1    Macchietto, S.2    Elvassore, N.3
  • 9
    • 20344385551 scopus 로고    scopus 로고
    • Modelling oxygen diffusion and cell growth in a porous, vascularising scaffold for soft tissue engineering applications
    • CROLL, T., GENTZ, S., MUELLER, K., DAVIDSON, M., O'CONNOR, A., STEVENS, G. & COOPER-WHITE, J. (2005) Modelling oxygen diffusion and cell growth in a porous, vascularising scaffold for soft tissue engineering applications. Chem. Eng. Sci., 60, 4924-4934.
    • (2005) Chem. Eng. Sci. , vol.60 , pp. 4924-4934
    • Croll, T.1    Gentz, S.2    Mueller, K.3    Davidson, M.4    O'Connor, A.5    Stevens, G.6    Cooper-White, J.7
  • 10
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • FISHER, R. (1937) The wave of advance of advantageous genes. Ann. Eugen., 7, 353-369.
    • (1937) Ann. Eugen. , vol.7 , pp. 353-369
    • Fisher, R.1
  • 12
    • 0031844799 scopus 로고    scopus 로고
    • Perfusion enhances functions of bone marrow stromal cells in three-dimensional culture-biochemical and ultrastructural analyses
    • GLOWACKI, J., MIZUNO, S. & GREENBERGER, J. (1998) Perfusion enhances functions of bone marrow stromal cells in three-dimensional culture-biochemical and ultrastructural analyses. Cell Transplant., 7, 319-326.
    • (1998) Cell Transplant. , vol.7 , pp. 319-326
    • Glowacki, J.1    Mizuno, S.2    Greenberger, J.3
  • 13
    • 0036296477 scopus 로고    scopus 로고
    • Emerging design principles in biomaterials and scaffolds for tissue engineering
    • GRIFFITH, L. (2002) Emerging design principles in biomaterials and scaffolds for tissue engineering. Ann. N. Y. Acad. Sci., 961, 83-95.
    • (2002) Ann. N. Y. Acad. Sci. , vol.961 , pp. 83-95
    • Griffith, L.1
  • 14
  • 17
    • 34548696202 scopus 로고    scopus 로고
    • Cell proliferation and oxygen diffusion in a vascularising scaffold
    • LANDMAN, K. & CAI, A. (2007) Cell proliferation and oxygen diffusion in a vascularising scaffold. Bull. Math. Biol., 69, 2405-2428.
    • (2007) Bull. Math. Biol. , vol.69 , pp. 2405-2428
    • Landman, K.1    Cai, A.2
  • 18
    • 25144444761 scopus 로고    scopus 로고
    • Heterogeneous proliferation within engineered cartilaginous tissue: the role of oxygen tension
    • LEWIS, M., MACARTHUR, B., MALDA, J., PETTET, G. & PLEASE, C. (2005) Heterogeneous proliferation within engineered cartilaginous tissue: the role of oxygen tension. Biotechnol. Bioeng., 91, 607-615.
    • (2005) Biotechnol. Bioeng. , vol.91 , pp. 607-615
    • Lewis, M.1    Macarthur, B.2    Malda, J.3    Pettet, G.4    Please, C.5
  • 19
    • 0037290098 scopus 로고    scopus 로고
    • Microarchitectural and mechanical characterization of oriented porous polymer scaffolds
    • LIN, A., BARROWS, T., CARTMELL, S. & GULDBERG, R. (2003) Microarchitectural and mechanical characterization of oriented porous polymer scaffolds. Biomaterials, 24, 481-489.
    • (2003) Biomaterials , vol.24 , pp. 481-489
    • Lin, A.1    Barrows, T.2    Cartmell, S.3    Guldberg, R.4
  • 22
    • 0034282186 scopus 로고    scopus 로고
    • Glycosaminoglycan deposition in engineered cartilage: experiments and mathematical model
    • OBRADOVIC, B., MELDON, J., FREED, L. & VUNJAK-NOVAKOVIC, G. (2000) Glycosaminoglycan deposition in engineered cartilage: experiments and mathematical model. AIChE J., 46, 1860-1871.
    • (2000) AIChE J. , vol.46 , pp. 1860-1871
    • Obradovic, B.1    Meldon, J.2    Freed, L.3    Vunjak-Novakovic, G.4
  • 23
    • 77955651654 scopus 로고    scopus 로고
    • A multiphase model for tissue construct growth in a perfusion bioreactor
    • O'DEA, R., WATERS, S. & BYRNE, H. (2010) A multiphase model for tissue construct growth in a perfusion bioreactor. Math. Med. Biol., 27, 95.
    • (2010) Math. Med. Biol. , vol.27 , pp. 95
    • O'Dea, R.1    Waters, S.2    Byrne, H.3
  • 24
    • 0031939961 scopus 로고    scopus 로고
    • Formation and differentiation of three-dimensional rat marrow stromal cell culture on microcarriers in a rotating-wall vessel
    • QIU, Q., DUCHEYNE, P., GAO, H. & AYYASWAMY, P. (1998) Formation and differentiation of three-dimensional rat marrow stromal cell culture on microcarriers in a rotating-wall vessel. Tissue Eng., 4, 19-34.
    • (1998) Tissue Eng. , vol.4 , pp. 19-34
    • Qiu, Q.1    Ducheyne, P.2    Gao, H.3    Ayyaswamy, P.4
  • 25
    • 2342500358 scopus 로고    scopus 로고
    • In vitro assessment of cell penetration into porous hydroxyapatite scaffolds with a central aligned channel
    • ROSE, F., CYSTER, L., GRANT, D., SCOTCHFORD, C., HOWDLE, S. & SHAKESHEFF, K. (2004) In vitro assessment of cell penetration into porous hydroxyapatite scaffolds with a central aligned channel. Biomaterials, 25, 5507-5514.
    • (2004) Biomaterials , vol.25 , pp. 5507-5514
    • Rose, F.1    Cyster, L.2    Grant, D.3    Scotchford, C.4    Howdle, S.5    Shakesheff, K.6
  • 26
    • 0000846626 scopus 로고
    • Convergence to pushed fronts
    • ROTHE, F. (1981) Convergence to pushed fronts. Rocky Mt. J. Math., 11, 617-633.
    • (1981) Rocky Mt. J. Math. , vol.11 , pp. 617-633
    • Rothe, F.1
  • 27
  • 28
    • 0001410969 scopus 로고    scopus 로고
    • Biodegradable and macroporous polylactide implants for cell transplantation: 1. Preparation of macroporous polylactide supports by solid-liquid phase separation
    • SCHUGENS, C., MAQUET, V., GRANDFILS, C., JÉRÔME, R. & TEYSSIE, P. (1996) Biodegradable and macroporous polylactide implants for cell transplantation: 1. Preparation of macroporous polylactide supports by solid-liquid phase separation. Polymer, 37, 1027-1038.
    • (1996) Polymer , vol.37 , pp. 1027-1038
    • Schugens, C.1    Maquet, V.2    Grandfils, C.3    Jérôme, R.4    Teyssie, P.5
  • 29
    • 0033623703 scopus 로고    scopus 로고
    • Dynamic mechanical conditioning of collagen-gel blood vessel constructs induces remodeling in vitro
    • SELIKTAR, D., BLACK, R. A., VITO, R. P. & NEREM, R. M. (2000) Dynamic mechanical conditioning of collagen-gel blood vessel constructs induces remodeling in vitro. Ann. Biomed. Eng., 28, 351-362.
    • (2000) Ann. Biomed. Eng. , vol.28 , pp. 351-362
    • Seliktar, D.1    Black, R.A.2    Vito, R.P.3    Nerem, R.M.4
  • 30
    • 23244457579 scopus 로고    scopus 로고
    • Computational study of culture conditions and nutrient supply in cartilage tissue engineering
    • SENGERS, B., VAN DONKELAAR, C., OOMENS, C. & BAAIJENS, F. (2005) Computational study of culture conditions and nutrient supply in cartilage tissue engineering. Biotechnol. Prog., 21, 1252-1261.
    • (2005) Biotechnol. Prog. , vol.21 , pp. 1252-1261
    • Sengers, B.1    Van Donkelaar, C.2    Oomens, C.3    Baaijens, F.4
  • 31
    • 84870551597 scopus 로고    scopus 로고
    • Continuum modelling of cell growth and nutrient transport in a perfusion bioreactor
    • Ph.D. thesis, University of Nottingham, UK
    • SHAKEEL, M. (2011) Continuum modelling of cell growth and nutrient transport in a perfusion bioreactor. Ph.D. thesis, University of Nottingham, UK.
    • (2011)
    • Shakeel, M.1
  • 32
    • 84875025446 scopus 로고    scopus 로고
    • Fisher-Kolmogorov equation with non-linear diffusion
    • (in preparation)
    • SHAKEEL, M., MATTHEWS, P. C., GRAHAM, R. S. & WATERS, S. L. (2011) Fisher-Kolmogorov equation with non-linear diffusion (in preparation).
    • (2011)
    • Shakeel, M.1    Matthews, P.C.2    Graham, R.S.3    Waters, S.L.4
  • 33
    • 0033725186 scopus 로고    scopus 로고
    • Concept for organ engineering: a reconstruction method of rat liver for in vitro culture
    • TAKEZAWA, T., INOUE, M., AOKI, S., SEKIGUCHI, M., WADA, K., ANAZAWA, H. & HANAI, N. (2000) Concept for organ engineering: a reconstruction method of rat liver for in vitro culture. Tissue Eng., 6, 641-650.
    • (2000) Tissue Eng. , vol.6 , pp. 641-650
    • Takezawa, T.1    Inoue, M.2    Aoki, S.3    Sekiguchi, M.4    Wada, K.5    Anazawa, H.6    Hanai, N.7
  • 34
    • 0028386524 scopus 로고
    • A model for the excitation of osteocytes by mechanical loading-induced bone fluid shear stresses
    • WEINBAUM, S., COWIN, S. C. & ZENG, Y. (1994) A model for the excitation of osteocytes by mechanical loading-induced bone fluid shear stresses. J. Biomech., 27, 339-360.
    • (1994) J. Biomech. , vol.27 , pp. 339-360
    • Weinbaum, S.1    Cowin, S.C.2    Zeng, Y.3
  • 36
    • 0034792594 scopus 로고    scopus 로고
    • A model for strain amplification in the actin cytoskeleton of osteocytes due to fluid drag on pericellular matrix
    • YOU, L., COWIN, S., SCHAFFLER, M. & WEINBAUM, S. (2001) A model for strain amplification in the actin cytoskeleton of osteocytes due to fluid drag on pericellular matrix. J. Biomech., 34, 1375-1386.
    • (2001) J. Biomech. , vol.34 , pp. 1375-1386
    • You, L.1    Cowin, S.2    Schaffler, M.3    Weinbaum, S.4
  • 37
    • 0028032812 scopus 로고
    • Tissue engineering a blood vessel-regulation of vascular biology by mechanical stresses
    • ZIEGLER, T. & NEREM, R. M. (1994) Tissue engineering a blood vessel-regulation of vascular biology by mechanical stresses. J. Cell. Biochem., 56, 204-209.
    • (1994) J. Cell. Biochem. , vol.56 , pp. 204-209
    • Ziegler, T.1    Nerem, R.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.