Skip to main content

Rheological Properties of Brushes on Cancerous Epithelial Cells Under the Influence of an External Oscillatory Force

  • Conference paper
  • First Online:
High Performance Computer Applications (ISUM 2015)

Abstract

The rheological properties of brushes of different length on the surface of human epithelial cancerous cells are studied here by means of coarse – grained numerical simulations, where the surface of the cell is subjected to an external oscillatory force acting on the plane of the cell’s surface. We model explicitly the tip of an atomic force microscope and the cancerous cell as a surface covered by brushes of different length, and take into account the interactions of the brush chains with the tip and with each other, leading to complex rheological behavior as displayed by the profiles of viscosity and the friction coefficient of this complex system. We comment briefly on how these findings can help in the experimental effort to understand the nature of the cancer growth in human epithelial cells.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Franco, E., Villa, L., Sobrinho, J., Prado, J., Rousseau, M., Désy, M., Rohan, T.: Epidemiology of acquisition and clearance of cervical human papillomavirus infection in women from a high-risk area for cervical cancer. J. Infect. Dis. 180, 1415–1423 (1999)

    Article  Google Scholar 

  2. Guck, J., Schinkinger, S., Linconl, B., Wottawah, F., Ebert, S., Romeyke, M., Lenz, D., Erickson, H., Ananthakrishnan, R., Mitchell, D., Käs, J., Ulvick, S., Bibly, C.: Optical deformability as an inherent cell market for testing malignant transformation and metastatic competence. Biophys. J. 88, 3689–3698 (2005)

    Article  Google Scholar 

  3. Lekka, M., Dorota, G., Pogoda, K., Dulińska-Litewka, J., Gostek, J., Klymenko, O., Prauzner-Bechciki, S., Wiltowska-Zuber, J., Okoń, K., Laidler, P.: Cancer cell detection in tissue sections using AFM. Arch. Biochem. Biophys. 518, 151–156 (2012)

    Article  Google Scholar 

  4. Cross, S., Jin, Y., Rao, J., Gimzewski, J.: Nanomechanical analysis of cells from cancer patients. Nature Nanotech. 2, 780–783 (2007)

    Article  Google Scholar 

  5. Plodinec, M., Loparic, M., Monnier, C., Obermann, E., Zanetti-Dallenbach, R., Oertle, P., Hyotyla, J., Aebi, U., Bentires-Alj, M., Lim, R., Schoenenberger, C.: The nanomechanical signature of breast cancer. Nature Nanotech. 7, 757–765 (2012)

    Article  Google Scholar 

  6. Müller, D., Dufrêne, Y.: Atomic force microscopy: a nanoscopic window on the cell surface. Trends Cell Biol. 21, 461–469 (2011)

    Article  Google Scholar 

  7. Li, Q., Lee, G., Lim, C.: AFM indentation study of breast cancer cells. Biochem. Biophys. Res. Comm. 374, 609–613 (2008)

    Article  Google Scholar 

  8. Lekka, M.: Atomic force microscopy: a tip for diagnosing cancer. Nature Nanotech. 7, 691–692 (2012)

    Article  Google Scholar 

  9. Koch, T., Münster, S., Bonakdar, N., Butler, J., Fabry, B.: 3D traction forces in cancer cell invasion. PLoS One 7, e33476 (2012)

    Article  Google Scholar 

  10. Jonietz, E.: Mechanics: the forces of cancer. Nature 491, S56–S57 (2012)

    Article  Google Scholar 

  11. Iyer, S., Gaikwad, R., Subba-Rao, V., Woodworth, C., Sokolov, I.: Atomic force microscopy detects differences in the surface brush of normal and cancerous cells. Nature Nanotech. 4, 389–393 (2009)

    Article  Google Scholar 

  12. Gama Goicochea, A., Alas, S.: Computer simulations of the mechanical response of brushes on the surface of cancerous epithelial cells. Sci. Rep. 5, 13218 (2015)

    Article  Google Scholar 

  13. Yao, D., Shao, Y.: A novel technique of quantifying flexural stiffness of rod-like structures. Cell Mol. Bioeng. 1, 75–83 (2008)

    Article  Google Scholar 

  14. Hoogerbrugge, P., Koelman, J.: Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics. Europhys. Lett. 19, 155–160 (1992)

    Article  Google Scholar 

  15. Allen, M., Tildesly, D.: Computer Simulation of Liquids. Oxford University Press, New York (1989)

    Google Scholar 

  16. Español, P., Warren, P.: Statistical mechanics of dissipative particle dynamics. Europhys. Lett. 30, 191–196 (1995)

    Article  Google Scholar 

  17. Gama Goicochea, A., Balderas, M., Lopez-Esparza, R., Waldo-Mendoza, A., Perez, E.: On the computational modeling of the viscosity of colloidal dispersions and its relation with basic molecular interactions. Eur. J. Phys. 36, 055032 (2015)

    Article  Google Scholar 

  18. Pastorino, C., Gama Goicochea, A.: Dissipative particle dynamics: a method to simulate soft matter systems in equilibrium and under flow. In: Klapp, J., Ruíz, G., Medina, A., López A., Sigalotti, L. (eds.) Selected Topics of Computational and Experimental Fluid Mechanics. Environmental Science and Engineering, pp. 51–79. Springer International Publishing Switzerland (2015)

    Google Scholar 

  19. Gama Goicochea, A., Balderas, M., Hernández, J., Pérez, E.: The role of the dissipative and random forces in the calculation of the pressure of simple fluids with dissipative particle dynamics. Comp. Phys. Comm. 188, 76–81 (2015)

    Article  Google Scholar 

  20. Murtola, T., Bunker, A., Vattulainen, I., Deserno, M., Karttunen, M.: Multiscale modeling of emergent materials: biological and soft matter. PCCP 11, 1869–1892 (2009)

    Article  Google Scholar 

  21. Vattulainen, I., Karttunen, M., Besold, G., Polson, J.: Integration schemes for dissipative particle dynamics simulations: from softly interacting systems towards hybrid models. J. Chem. Phys. 116, 3967 (2002)

    Article  Google Scholar 

  22. Klein, J., Kumacheva, E., Mahalu, D., Perahia, D., Fetters, L.: Reduction of frictional forces between solid surfaces bearing polymer brushes. Nature 116, 634–636 (1994)

    Article  Google Scholar 

  23. Eiser, E., Klein, J.: The effect of mobile polymers on the normal and shear forces between polymer brushes. Macromolecules 40, 8455–8463 (2007)

    Article  Google Scholar 

  24. Gama Goicochea, A., Romero-Bastida, M., López-Rendón, R.: Dependence of thermodynamic properties of model systems on some dissipative particle dynamics parameters. Mol. Phys. 105, 2375–2381 (2007)

    Article  Google Scholar 

  25. Velázquez, M., Gama Goicochea, A., González-Melchor, M., Neria, M., Alejandre, J.: Finite-size effects in dissipative particle dynamics simulations. J. Chem. Phys. 124, 084104 (2006)

    Article  Google Scholar 

  26. Macosko, C.: Rheology Principles, Mesurements, and Applications. Wiley-VCH Inc., New York (1994)

    Google Scholar 

  27. Goujon, F., Malfreyt, P., Tildesley, D.: Interactions between polymer brushes and a polymer solution: mesoscale modelling of the structural and frictional properties. Soft Matter 6, 3472–3481 (2010)

    Article  Google Scholar 

  28. Gama Goicochea, A., Mayoral, E., Klapp, J., Pastorino, C.: Nanotribology of biopolymer brushes in aqueous solution using dissipative particle dynamics simulations: an application to PEG covered liposomes in a theta solvent. Soft Matter 10, 166–174 (2014)

    Article  Google Scholar 

Download references

Acknowledgments

AGG would like to thank S.J. Alas, S. Hernández, J.L. Menchaca and I. Sokolov for helpful discussions. JDHV and AGG acknowledge also the hospitality of E. Pérez and the Polymer Group at the Instituto de Física (UASLP), where this work was conceived.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Armando Gama Goicochea .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Hernández Velázquez, J.D., Mejía-Rosales, S., Gama Goicochea, A. (2016). Rheological Properties of Brushes on Cancerous Epithelial Cells Under the Influence of an External Oscillatory Force. In: Gitler, I., Klapp, J. (eds) High Performance Computer Applications. ISUM 2015. Communications in Computer and Information Science, vol 595. Springer, Cham. https://doi.org/10.1007/978-3-319-32243-8_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-32243-8_30

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32242-1

  • Online ISBN: 978-3-319-32243-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics