Effects of spatial variation of cells and nutrient and product concentrations coupled with product inhibition on cell growth in a polymer scaffold

Biotechnology and Bioengineering

Volumn 64, Issue 6, 1999, Pages 633-643

  Galban, Craig J ^a   Locke, Bruce R ^a  

^a FAMU FSU COLLEGE OF ENGINEERING   (United States)

Author keywords

Cell growth; Mass transfer; Tissue engineering; Volume averaging

Indexed keywords

BOUNDARY CONDITIONS; GROWTH KINETICS; MASS TRANSFER; MATHEMATICAL MODELS; POLYMERS; REACTION KINETICS; SATURATION (MATERIALS COMPOSITION); SUBSTRATES;

CELL-POLYMER SYSTEMS; CHONDROCYTES; CONTINUITY EQUATIONS; MODIFIED CONTOIS GROWTH KINETIC MODEL; TISSUE ENGINEERING;

TISSUE CULTURE;

POLYMER;

ARTICLE; BIOENGINEERING; CARTILAGE CELL; CELL CULTURE; CELL GROWTH; MATHEMATICAL MODEL; NUTRIENT; PHYSICAL PHASE;

ANIMALS; CARTILAGE; CELL CULTURE TECHNIQUES; CELL DIVISION; CELL SIZE; CELLS, CULTURED; EXTRACELLULAR MATRIX; MATHEMATICS; MODELS, BIOLOGICAL; POLYMERS; REGENERATION;

EID: 0033588792     PISSN: 00063592     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0290(19990920)64:6<633::AID-BIT1>3.0.CO;2-6     Document Type: Article

References (28)

1. Anderson TB, Jackson R. 1967. A fluid mechanical description of fluidized beds. Ind Eng Chem Fundam 6:527-538.
2. Barlow SK, Biron RJ, Eagles DB, Freed LE, Langer R, Lesnoy DB, Vunjak-Novakovic G. 1994. biodegradable polymer scaffolds for tissue engineering. Bio/Technology 12:689-693.
3. Biron RJ, Barlow SK, Eagles DB, Freed LE, Langer R, Lesnoy DC, Vunjak-Novakovic G. 1994. Biodegradable polymer scaffolds for tissue engineering. Bio/Technology 12:689-693.
4. Butler M, Jenkins H. 1989. Nutritional aspects of the growth of animal cells in culture. J Biotechnol 12:97-110.
5. Cherry RS, Papoutsakis ET. 1989. Modeling of contact-inhibited animal cell growth on flat surfaces and spheres. Biotechnol Bioeng 33: 300-305.
6. Contois DE. 1959. Kinetics of bacterial growth: Relationship between population density and specific growth rate of continuous cultures. J Gen Microbiol 21:40-50.
7. deGooijer CD, Wijffels RH, Tramper J. 1991. Growth and substrate consumption of Nitrobacter agilis cells immobilized in carrageenan: Part 1. Dynamic modeling. Biotechnol Bioeng 38:224-231.
8. Emmanual J, Freed LE, Marquis JC, Langer R, Vunjak-Novakovic G. 1994. Composition of cell-polymer cartilage implants. Biotechnol Bioeng 43:605-614.
9. Freed LE, Langer R, Marquis JC, Vunjak-Novakovic G. 1994. Kinetics of chondrocyte growth in cell-polymer implants. Biotechnol Bioeng 43: 597-604.
10. Freed LE, Vunjak-Novakovic G, Langer R. 1993. Cultivation of cell-polymer cartilage implants in bioreactors. J Cell Biochem 51:257-264.
11. Galban C, Locke B. 1997. Analysis of cell growth in a polymer scaffold using a moving boundary approach. Biotechnol Bioeng 56:422-432.
12. Galban C, Locke B. 1999. Analysis of cell growth kinetics and substrate diffusion in a polymer scaffold. Biotechnol Bioeng (in press).
13. Grande DA, Halberstadt C, Naughton G, Schwartz R, Manji R. 1997. Evaluation of matrix scaffolds for tissue engineering of articular cartilage grafts. J Biomed Mater Res 34:211-220.
14. Gray WG. 1975. A derivation of the equations for multiphase transport. Chem Eng Sci 30:229-233.
15. Greenberg N, Sheintuch M, Tartakovsky B, Ulitzur S, Yirme G. 1996. Observations and modeling of growth of immobilized microcolonies of luminous E. coli. Chem Eng Sci 51:743-756.
16. Kuhn R, Peretti S, Ollis D. 1993. Acid inhibition of immobilized cells -quantitative comparison of model and experiment. Appl Biochem Biotechnol 39:401-413.
17. Langer R, Vacanti P. 1993. Tissue engineering. Science 260:920-925.
18. Maroudas A, Mizrahi J, Katz EP, Matchtel EJ, Soudry M. 1986. Articular cartilage biochemistry. New York: Raven Press.
19. Nozad I, Carbonell RG, Whitaker S. 1985. Heat conduction in multiphase systems - I. Theory and experiment for two-phase systems. Chem Eng Sci 40:843-855.
20. Ochoa JA. 1987. PhD thesis. Diffusion and reaction in heterogeneous media. Department of Chemical Engineering, University of California, Davis.
21. Ochoa JA, Stroeve P, Whitaker S. 1986. Diffusion and reaction in cellular media. Chem Eng Sci 41:2999-3013.
22. Sayles GD, Ollis D. 1990. Product inhibition influence on immobilized cell biocatalyst performance. Biotechnol Prog 6:153-158.
23. Skalak R, Fox CF. 1991. Tissue engineering. Ann Biomed Eng 19:529.
24. Slattery JC. 1967. Flow of viscoelastic fluids through porous media. AIChE J 13:1066-1071.
25. Stewart PS, Robertson CR. 1988. Product inhibition of immobilized Escherichia coli arising from mass transfer limitation. Appl Environ Microbiol 54:2464-2471.
26. Whitaker S. 1967. Diffusion and dispersion in porous media. AIChE J 13:420-427.
27. Whitaker S. 1985. A simple geometrical derivation of the spatial averaging theorem. Chem Eng Educ 19:18-21 and 50-52.
28. Zygourakis K, Bizios R, Markenscoff P. 1991. Proliferation of anchorage-dependent contact-inhibited cells: I. Development of theoretical models based on cellular automata. Biotechnol Bioeng 38:459-470.