Skip to main content

Quantitative Modeling of Limitations Caused by Diffusion

  • Protocol
  • 3654 Accesses

Part of the book series: Methods in Molecular Medicine™ ((MIMM,volume 18))

Abstract

Transport of nutrients and metabolites in many bioartificial tissue constructs relies exclusively on diffusion, i.e., on the presence of a concentration gradient between the inside of the construct and the surrounding milieu. A quantitative evaluation of the rate of diffusional processes is thus essential for properly designing three-dimensional cell-polymer systems, and for assessing the chemical environment at various locales within the construct.

This is a preview of subscription content, log in via an institution.

Buying options

Protocol
USD   49.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Springer Nature is developing a new tool to find and evaluate Protocols. Learn more

References

  1. Bennett, C. O. and Myers, J. E. (1974) Momentum, Heat and Mass Transfer, McGraw-Hill, New York, pp. 481–512.

    Google Scholar 

  2. Bird, R. B., Stewart, W. E., and Lightfoot, E. N. (1960) Transport Phenomena, John Wiley, New York, London and Sydney, pp. 495–518.

    Google Scholar 

  3. Blanch, H. W. and Clark, D. S. (1996) Biochemical Engineering, Marcel Dekker, New York, pp. 103–161.

    Google Scholar 

  4. Tziampazis, E. and Sambanis, A. (1995) Tissue engineering of a bioartificial pancreas: modeling the cell environment and device function. Biotechnol. Prog. 11, 115–126.

    Article  CAS  Google Scholar 

  5. Casciari, J. J., Sotirchos, S. V., and Sutherland, R. M. (1988) Glucose difiusivity in multicellular tumor spheroids. Cancer Res. 48, 3905–3909.

    CAS  Google Scholar 

  6. Vorlop, K.-D. and Klein, J. (1983) New developments in the field of cell immobilization-formation of biocatalysis by ionotropic gelation, in Enzyme Technology. III. Rotenburg Fermentation Symposium 1982 (Lefferty, R. M., ed.), Springer-Verlag, New York, pp. 219–235.

    Google Scholar 

  7. Papas, K. K., Constantinidis, I., and Sambanis, A. (1993) Cultivation of recombinant, insulin-secreting AtT-20 cells as free and entrapped spheroids. Cytotechnology 13, 1–12.

    Article  CAS  Google Scholar 

  8. Sun, Y., Furusaki S., Yamauchi, A., and Ichimura, K. (1988) Difiusivity of oxygen into carriers entrapping whole cells. Biotech. Bioeng. 34, 55–58.

    Article  Google Scholar 

  9. Hannoun, B. J. M. and Stephanopoulos, G. (1985) Diffusion coefficients of glucose and ethanol in cell-free and cell-occupied calcium alginate membranes. Biotechnol. Bioeng. 28, 829–835.

    Article  Google Scholar 

  10. Crank, J. (1975) The Mathematics of Diffusion, 2nd ed., Clarendon, Oxford.

    Google Scholar 

  11. Hannoun, B. J. M. and Stephanopoulos, G. (1990) Growth and fermentation model for alginate-entrapped Saccharomyces cerevisiae. Biotechnol. Prog. 6, 349–356

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Humana Press Inc., Totowa, NJ

About this protocol

Cite this protocol

Sambanis, A., Tan, S.A. (1999). Quantitative Modeling of Limitations Caused by Diffusion. In: Morgan, J.R., Yarmush, M.L. (eds) Tissue Engineering Methods and Protocols. Methods in Molecular Medicine™, vol 18. Humana Press. https://doi.org/10.1385/0-89603-516-6:595

Download citation

  • DOI: https://doi.org/10.1385/0-89603-516-6:595

  • Publisher Name: Humana Press

  • Print ISBN: 978-0-89603-516-4

  • Online ISBN: 978-1-59259-602-7

  • eBook Packages: Springer Protocols

Publish with us

Policies and ethics