Hybrid cellular automaton modeling of nutrient modulated cell growth in tissue engineering constructs

Journal of Theoretical Biology

Volumn 262, Issue 2, 2010, Pages 267-278

  Chung, C A ^a   Lin, Tze Hung ^a   Chen, Shih Di ^a   Huang, Hsing I ^b  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^b CATHAY GENERAL HOSPITAL   (Taiwan)

Author keywords

Cell motility; Cell seeding; Diffusion limited; Mathematical model; Simulation

Indexed keywords

OXYGEN;

CELL ORGANELLE; CELLULAR AUTOMATON; COMPUTER SIMULATION; CONCENTRATION (COMPOSITION); DIFFUSION; GROWTH RATE; HYBRID; MOTILITY; NUTRIENT;

ARTICLE; CARTILAGE; CELL DENSITY; CELL DIVISION; CELL FUNCTION; CELL GROWTH; CELL MIGRATION; CELL POPULATION; CELL PROLIFERATION; CELLULAR DISTRIBUTION; CULTURE MEDIUM; HUMAN; MATHEMATICAL MODEL; NUTRIENT; PRIORITY JOURNAL; SIMULATION; TISSUE ENGINEERING;

ALGORITHMS; CELL CULTURE TECHNIQUES; CELL MOVEMENT; CELL PROLIFERATION; COMPUTER SIMULATION; CULTURE MEDIA; DIFFUSION; HUMANS; INTERCELLULAR SIGNALING PEPTIDES AND PROTEINS; MODELS, BIOLOGICAL; TIME FACTORS; TISSUE ENGINEERING; TISSUE SCAFFOLDS;

EID: 70450278800     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.09.031     Document Type: Article

References (37)

1. Albert B., Bray D., Lewis J., Raff M., Roberts K., and Watson J.D. Molecular Biology of the Cell. third ed (1994), Garland, New York
2. Bailey J.E., and Ollis D.F. Biochemical Engineering Fundamentals. second ed (1986), McGraw-Hill, Singapore
3. Barrandon Y., and Green H. Cell migration is essential for sustained growth of keratinocyte colonies: the roles of transforming growth factor-α and epidermal growth factor. Cell 50 (1987) 1131-1137
4. Bird G.A. Molecular Dynamics and the Direct Simulation of Gas Flows (1994), Pergamon, Oxford pp. 423-428
5. Bray D. Cell Movements: From Molecules to Motility. second ed (2001), Garland, New York
6. Bush P.G., and Hall A.C. Regulatory volume decrease (RVD) by isolated and in situ bovine articular chondrocytes. J. Cell Physiol. 187 (2001) 304-314
7. Chang C., Lauffenburger D.A., and Morales T.I. Motile chondrocytes from newborn calf: migration properties and synthesis of collagen II. Osteoarthritis Cartilage 11 (2003) 603-612
8. Cheng G., Youssef B.B., Markenscoff P., and Zygourakis K. Cell population dynamics modulate the rates of tissue growth processes. Biophys. J. 90 (2006) 713-724
9. Chung C.A., Yang C.W., and Chen C.W. Analysis of cell growth and diffusion in a scaffold for cartilage tissue engineering. Biotechnol. Bioeng. 94 (2006) 1138-1146
10. Chung C.A., Chen C.W., Chen C.P., and Tseng C.S. Enhancement of cell growth in tissue-engineering constructs under direct perfusion: modeling and simulation. Biotechnol. Bioeng. 97 (2007) 1603-1616
11. Dover R., and Potten C.S. Heterogeneity and cell cycle analysis from time-lapse studies of human keratinocytes in vitro. J. Cell Sci. 89 (1988) 359-364
12. Freed L.E., Vunjak-Novakovic G., Marquis J.C., and Langer R. Kinetics of chondrocyte growth in cell-polymer implants. Biotechnol. Bioeng. 43 (1994) 597-604
13. Freed L.E., and Vunjak-Novakovic G. Cultivation of cell-polymer constructs in simulated microgravity. Biotechnol. Bioeng. 46 (1995) 306-313
14. Forestell S.P., Milne B.J., Kalogerakis N., and Behie L.A. A cellular automaton model for the growth of anchorage-dependent mammalian cells used in vaccine production. Chem. Eng. Sci. 47 (1992) 2381-2386
15. Galban C.J., and Locke B.R. Effects of spatial variation of cells and nutrient and product concentrations coupled with product inhibition on cell growth in a polymer scaffold. Biotechnol. Bioeng. 64 (1999) 633-643
16. Galban C.J., and Locke B.R. Analysis of cell growth kinetics and substrate diffusion in a polymer scaffold. Biotechnol. Bioeng. 65 (1999) 121-132
17. Galbusera F., Cioffi M., Raimondai M.T., and Pietrabissa R. Computational modeling of combined cell population dynamics and oxygen transport in engineered tissue subject to interstitial perfusion. Comp. Methods Biomech. Biomed. Eng. 10 (2007) 279-287
18. Griffith L.G., and Naughton G. Tissue engineering-current challenges and expanding opportunities. Science 295 (2002) 1009-1014
19. Hawboldt K.A., Kalogerakis N., and Behie L.A. A cellular automaton model for microcarrier cultures. Biotechnol. Bioeng. 43 (1994) 90-100
20. Haselgrove J.C., Shapiro I.M., and Silverton S.F. Computer modeling of the oxygen supply and demand of cells of the avian growth cartilage. Am. J. Physiol. 256 (1993) C497-C506
21. Kino-Oka M., Maeda Y., Yamamoto T., Sugawara K., and Taya M. A kinetic modeling of chondrocytes culture for manufacture of tissue-engineered cartilage. J. Biosci. Bioeng. 99 (2005) 197-207
22. Lackie J.M. Cell Movement and Cell Behavior (1986), Allen and Unwin, London
23. Langer R., and Vacanti P. Tissue engineering. Science 260 (1993) 920-925
24. Lee Y., Kouvroukoglou S., Mclntire L.V., and Zygourakis K. A cellular automaton model for the proliferation of migrating contact-inhibited cells. Biophys. J. 69 (1995) 1284-1298
25. Lewis M.C., MacArthur B.D., Malda J., Pettet G., and Please C.P. Heterogeneous proliferation within engineered cartilaginous tissue: the role of oxygen tension. Biotechnol. Bioeng. 91 (2005) 607-615
26. Mahmoudifar N., and Doran P.M. Tissue engineering of human cartilage in bioreactors using single and composite cell-seeded scaffolds. Biotechnol. Bioeng. 91 (2005) 338-355
27. Malda J., Rouwkema J., Martens D.E., le Comte E.P., Kooy F.K., Tramper J., van Blitterswijk C.A., and Riesle J. Oxygen gradients in tissue-engineered PEGT/PBT cartilaginous constructs: measurement and modeling. Biotechnol. Bioeng. 86 (2004) 9-18
28. Mooney D.J., and Mikos A. Growing new organs. Sci. Am. 280 (1999) 60-65
29. Murphy C.L., and Sambanis A. Effect of oxygen tension on chondrocyte extracellular matrix accumulation. Connect. Tissue Res. 42 (2001) 87-92
30. Murphy C.L., and Polak J.M. Control of human articular chondrocyte differentiation by reduced oxygen tension. J. Cell. Physiol. 199 (2004) 451-459
31. Obradovic B., Carrier R.L., Vunjak-Novakovic G., and Freed L.E. Gas exchange is essential for bioreactor cultivation of tissue engineered cartilage. Biotechnol. Bioeng. 63 (1999) 197-205
32. Obradovic B., Meldon J.H., Freed L.E., and Vunjak-Novakovic G. Glycosaminoglycan deposition in engineered cartilage: experiments and mathematical model. A.I.Ch.E. J. 46 (2000) 1860-1871
33. Richardson R.S. Oxygen transport and utilization: an integration of the muscle system. Adv. Physiol. Edu. 27 (2003) 183-191
34. Sato Y., and Rifkin D.B. Inhibition of endothelial cell movement by pericytes and smooth muscle cells: activation of a latent transforming growth factor-β1-like molecule by plasmin during co-culture. J. Cell. Biol. 109 (1989) 309-315
35. Yashiki S., Hara Y., Kino-Oka M., and Taya M. A three-dimensional growth model for chondrocytes embedded in collagen gel. Kagaku Kogaku Ronbunshu 30 (2004) 515-521
36. Zygourakis K., Bizios R., and Markenscoff P. Proliferation of anchorage-dependent contact-inhibited cells: I. Development of theoretical models based on cellular automata. Biotechnol. Bioeng. 38 (1991) 459-470
37. Zygourakis K., Markenscoff P., and Bizios R. Prolifiration of anchorage-dependent contact-inhibited cells: II. Experimental results and validation of the theoretical models. Biotechnol. Bioeng. 38 (1991) 471-479