Three-dimensional modeling of transport of nutrients for multicellular tumor spheroid culture in a microchannel

Biomedical Microdevices

Volumn 9, Issue 3, 2007, Pages 315-323

  Hu, Guoqing ^a   Li, Dongqing ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

Cell culture; Microchannel bioreactor; Multicellular tumor spheroid; Numerical simulation

Indexed keywords

BIOREACTORS; COMPUTER SIMULATION; FLOW VELOCITY; NUTRIENTS; PLASTIC FLOW; TUMORS;

AVASCULAR TUMORS; MICROCHANNEL BIOREACTOR; MULTICELLULAR TUMOR SPHEROID;

CELL CULTURE;

GLUCOSE; OXYGEN;

ARTICLE; BIOREACTOR; CANCER STAGING; CONTROLLED STUDY; FLOW RATE; INTERMETHOD COMPARISON; MULTICELLULAR SPHEROID; NUTRIENT UPTAKE; PERFUSION; PRIORITY JOURNAL; SHEAR STRESS; SIMULATION; STEADY STATE; TUMOR CELL CULTURE; TUMOR GROWTH; TUMOR SPHEROID; VELOCITY;

ANIMALS; CELL CULTURE TECHNIQUES; CELL LINE, TUMOR; CELL PROLIFERATION; COMPUTER-AIDED DESIGN; EQUIPMENT DESIGN; EQUIPMENT FAILURE ANALYSIS; FLOW INJECTION ANALYSIS; GLUCOSE; MAMMARY NEOPLASMS, EXPERIMENTAL; MICE; MICROFLUIDIC ANALYTICAL TECHNIQUES; OXYGEN; SPHEROIDS, CELLULAR; TUMOR CELLS, CULTURED;

EID: 34249984714     PISSN: 13872176     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10544-006-9035-1     Document Type: Article

References (38)

1. M. Al-Rubeai, R.P. Singh, A.N. Emery, and Z. Zhang, Biotechnol. Bioeng. 46, 88 (1995).
2. R.P. Araujo and D.L.S. McElwain, Bull. Math. Biol. 66, 1039 (2004).
3. J.G. Aunins and H.J. Henzler, in H.J. Rehm and G. Reed (eds.) Biotechnology, 2nd edn. (VCH, Weinheim, 1993), p. 219.
4. A.C. Burton, Growth 30, 159 (1966).
5. H.M. Byrne, T. Alarcon, M.R. Owen, S.D. Webb, and P.K. Maini, Phil. Trans. R. Soc. A 364, 1563 (2006).
6. H.M. Byrne and M.A.J. Chaplain, Math. Comput. Model. 24, 1 (1996).
7. H.M. Byrne, J.R. King, D.L.S. EcElwain, and L. Preziosi, Appl. Math. Lett. 16, 567 (2003).
8. J.J. Casciari, S.V. Sotirchos, and R.M. Sutherland, Cell Prolif. 25, 1 (1992).
9. C.Y. Chen, H.M. Byrne, and J.R. King, J. Math. Biol. 43, 191 (2001).
10. P.P. Denlsanto, C. Guiot, P.G. Degiorgis, C.A. Condat, Y. Mansury, and T.S. Deisboeck, Appl. Phys. Lett. 85, 4225 (2004).
11. J. El-Ali, P.K. Sorger, and K.F. Jensen, Nature 442, 403 (2006).
12. J.P. Freyer, J. Cell Physiol. 76, 138 (1998).
13. J.P. Freyer and R.M. Sutherland, J. Cell Physiol. 124, 516 (1985).
14. H.B. Frieboes, X. Zhang, C.H. Sun, B. Tromberg, R. Gatenby, and V. Cristini, Cancer Res. 66, 1597 (2006).
15. D.P. Gaver and S.M. Kute, Biophys. J. 75, 721 (1998).
16. H.P. Greenspan, Stud. Appl. Math. 51, 317 (1972).
17. H.P. Greenspan, J. Theor. Biol. 56, 229 (1976).
18. W. Gu, X. Zhu, N. Futai, B.S. Cho, and S. Takayama, Proc. Natl. Acad. Sci. USA 101, 15861 (2004).
19. M. Horner, W.M. Miller, J.M. Ottino, and E.T. Papoutsakis, Biotechnol. Progr. 14, 689 (1998).
20. Y. Jiang, J. Pjesivac-Grbovic, C. Cantrell, and J.P. Freyer, Biophys. J. 89, 3884 (2005).
21. J. Keane, D. Ryan, and P. Gray, Biotechnol. Bioeng. 81, 211 (2003).
22. J.M. Kelm, N.E. Timmins, C.J. Brown, M. Fussenegger, and L.K. Nielsen, Biotechnol. Bioeng. 83, 173 (2003).
23. J. Landry, J.P. Freyer, and R.M. Sutherland, J. Cell Physiol. 106, 23 (1981).
24. J. Landry, J.P. Freyer, and R.M. Sutherland, Cell Tiss. Kinet. 15, 585 (1982).
25. E. Leclerc, Y. Sakai, and T. Fujii, Biomed. Microdevices 5, 109 (2003).
26. C.K.N. Li, Cancer 50, 2066 (1982).
27. K. Mehta and J.J. Linderman, Biotechnol. Bioeng. 94, 596 (2006).
28. W. Mueller-Klieser, Crit. Rev. Oncol. Hematol. 36, 123 (2000).
29. L.A. Olivier and G.A. Truskey, Biotechnol. Bioeng. 42, 963 (1993).
30. R.H. Perry, Perry's chemical engineers' handbook, 6th ed (McGrwa-Hill, New York, 1984).
31. T. Roose, P.A. Netti, L.L. Munn, Y. Boucher, and R.K. Jain, Microvasc. Res. 66, 204 (2003).
32. R.M. Sutherland, Cancer 58, 1668 (1986).
33. R.M. Sutherland, Science 240, 177 (1988).
34. A.W. Tilles, H. Baskaran, P. Roy, M.L. Yarmush, and M. Toner, Biotechnol. Bioeng. 73, 379 (2001).
35. G. Walker, M. Ozer, and D.J. Beebe, Biomed. Microdevices 4, 161 (2002).
36. G.M. Walker, H.C. Zeringue, and D.J. Beebe, Lab. Chip. 4, 91 (2004).
37. J.P. Ward and J.R. King, IMA J. Math. Appl. Med. Biol. 14, 39 (1997).
38. Y. Zeng, T.S. Lee, P. Yu, R. Roy, and H.T. Low, Biomech. Eng.-Trans. ASME 128, 185 (2006).