Biomedical Microdevices

, Volume 12, Issue 6, pp 1061–1072 | Cite as

Numerical studies of continuous nutrient delivery for tumour spheroid culture in a microchannel by electrokinetically-induced pressure-driven flow

  • Saeid Movahed
  • Dongqing Li


Continuous nutrient delivery to cells by pressure-driven flow is desirable for cell culture in lab-on-a-chip devices. An innovative method is proposed to generate an induced pressure-driven flow by using an electrokinetically-driven pump in a H-shape microchannel. A three-dimensional numerical model is developed to study the effectiveness of the proposed mechanism. It is shown that the average velocity of the generated pressure-driven flow is linearly dependent on the applied voltage. Considering the culture of a multicellular tumour spheroid (MTS) in such a microfluidic system, numerical simulations based on EMT6/Ro tumour cells is performed to find the effects of the nutrient distribution (oxygen and glucose), bulk velocity and channel size on the cell growth. Using an empirical formula, the growth of the tumour cell is studied. For low nutrient concentrations and low speed flows, it is found that the MTS grows faster in larger channels. It is also shown that, for low nutrient concentrations, a higher bulk liquid velocity provide better environment for MTS to grow. For lower velocities, it is found that the local MTS growth along the flow direction deviates from the average growth.


Multicellular tumour spheroid Cell culture H-shaped microchannel Electrokinetically-induced flow 



The authors wish to thank the financial support of the Natural Sciences and Engineering Research Council through a research grant to D. Li.


  1. R.P. Araujo, D.L.S. McElwain, Bull Math Biol 66, 1039 (2004)CrossRefMathSciNetGoogle Scholar
  2. K. Bartha, H. Rieger, J Theor Biol 241, 903 (2006)MathSciNetGoogle Scholar
  3. H.M. Byrne, T. Alarcon, M.R. Owen, S.D. Webb, P.K. Maini, Phil Trans R Soc A 364, 1563 (2006)CrossRefMathSciNetGoogle Scholar
  4. J.J. Casciari, S.V. Sotirchos, R.M. Sutherland, Cell Prolif 25, 1 (1992)CrossRefGoogle Scholar
  5. P.P. Delsanto, C. Guiot, P.G. Degiorgis, C.A. Condat, Y. Mansury, T.S. Deisboeck, Appl Phys Lett 85, 4225 (2004)CrossRefGoogle Scholar
  6. J.P. Freyer, J Cell Physiol 76, 138 (1998)CrossRefGoogle Scholar
  7. J.P. Freyer, R.M. Sutherland, J Cell Physiol 124, 516 (1985)CrossRefGoogle Scholar
  8. W. Gu, X. Zhu, N. Futai, B.S. Cho, S. Takayama, Proc Natl Acad Sci USA 101, 15861 (2004)CrossRefGoogle Scholar
  9. G. Hu, D. Li, Biomed Microdevices 9, 315 (2007)CrossRefGoogle Scholar
  10. J.M. Kelm, N.E. Timmins, C.J. Brown, M. Fussenegger, L.K. Nielsen, Biotechnol Bioeng 83, 173 (2003)CrossRefGoogle Scholar
  11. J. Landry, J.P. Freyer, R.M. Sutherland, Cell Tissue Kinet 15, 585 (1982)Google Scholar
  12. C.K.N. Li, cancer 50, 2066 (1982)Google Scholar
  13. D. Li, Electrokinetics in Microchannels (Elsevier, 2004)Google Scholar
  14. R.H. Perry, Perry’s chemical engineers’ handbook, 6th edn. (McGrwa-Hill, New York, 1984)Google Scholar
  15. K.A. Rejniak, J Theor Biol 247, 186 (2007)CrossRefMathSciNetGoogle Scholar
  16. R.M. Sutherland, Cancer 58, 1668 (1986)CrossRefGoogle Scholar
  17. R.M. Sutherland, Science 240, 177 (1988)CrossRefGoogle Scholar
  18. Y. Zeng, T.S. Lee, P. Yu, R. Roy, H.T. Low, Biomech Eng-Trans ASME 128, 185 (2006)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mechanical and Mechatronics EngineeringUniversity of WaterlooWaterlooCanada N2L 3G1

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