Advertisement

The European Physical Journal Special Topics

, Volume 222, Issue 10, pp 2697–2704 | Cite as

Modelling of photo-thermal control of biological cellular oscillators

  • G.S. Assanov
  • Z.Zh. Zhanabaev
  • A.O. Govorov
  • A.B. NeimanEmail author
Regular Article Applications in Biology and Medicine

Abstract

We study the transient dynamics of biological oscillators subjected to brief heat pulses. A prospective well-defined experimental system for thermal control of oscillators is the peripheral electroreceptors in paddlefish. Epithelial cells in these receptors show spontaneous voltage oscillations which are known to be temperature sensitive. We use a computational model to predict the effect of brief thermal pulses in this system. In our model thermal stimulation is realized through the light excitation of gold nanoparticles delivered in close proximity to epithelial cells and generating heat due to plasmon resonance. We use an ensemble of modified Morris-Lecar systems to model oscillatory epithelial cells. First, we validate that the model quantitatively reproduces the dynamics of epithelial oscillations in paddlefish electroreceptors, including responses to static and slow temperature changes. Second, we use the model to predict transient responses to short heat pulses generated by the light actuated gold nanoparticles. The model predicts that the epithelial oscillators can be partially synchronized by brief 5–15 ms light stimuli resulting in a large-amplitude oscillations of the mean field potential.

Keywords

European Physical Journal Special Topic Instantaneous Frequency Heat Pulse Phase Reset Sensory Hair Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    O.V. Popovych, P.A. Tass, Front. Human Neurosci. 6, (2012)Google Scholar
  2. 2.
    C. Hauptmann, J. Roulet, J. Niederhauser, W. Döll, M. Kirlangic, B. Lysyansky, V. Krachkovskyi, M. Bhatti, U. Barnikol, L. Sasse, et al., J. Neural Eng. 6, 066003 (2009)ADSCrossRefGoogle Scholar
  3. 3.
    E.S. Boyden, F. Zhang, E. Bamberg, G. Nagel, K. Deisseroth, Nat. Neurosci. 8, 1263 (2005)CrossRefGoogle Scholar
  4. 4.
    E. Pastrana, Nat. Meth. 8, 24 (2010)CrossRefGoogle Scholar
  5. 5.
    A.O. Govorov, Z. Fan, A.B. Neiman, Complex-Shaped Metal Nanoparticles: Bottom-Up Syntheses and Applications, edited by T.K. Sau and A.L. Rogach (Wiley-VCH, 2012), p. 455Google Scholar
  6. 6.
    X. Huang, P.K. Jain, I.H. El-Sayed, M.A. El-Sayed, Lasers Medical Sci. 23, 217 (2008)CrossRefGoogle Scholar
  7. 7.
    B. Khlebtsov, V. Zharov, A. Melnikov, V. Tuchin, N. Khlebtsov, Nanotechnology 17, 5167 (2006)ADSCrossRefGoogle Scholar
  8. 8.
    A.M. Gobin, D.P. O’Neal, D.M. Watkins, N.J. Halas, R.A. Drezek, J.L. West, Lasers Surgery Med. 37, 123 (2005)CrossRefGoogle Scholar
  9. 9.
    A.G. Skirtach, C. Dejugnat, D. Braun, A.S. Susha, A.L. Rogach, W.J. Parak, H. Möhwald, G.B. Sukhorukov, Nano Lett. 5, 1371 (2005)ADSCrossRefGoogle Scholar
  10. 10.
    J. Stehr, C. Hrelescu, R.A. Sperling, G. Raschke, M. Wunderlich, A. Nichtl, D. Heindl, K. Kürzinger, W.J. Parak, T.A. Klar, et al., Nano Lett. 8, 619 (2008)ADSCrossRefGoogle Scholar
  11. 11.
    A. Urban, M. Fedoruk, M. Horton, J. Radler, F. Stefani, J. Feldmann, Nano Lett. 9, 2903 (2009)ADSCrossRefGoogle Scholar
  12. 12.
    D. Boyer, P. Tamarat, A. Maali, B. Lounis, M. Orrit, Science 297, 1160 (2002)ADSCrossRefGoogle Scholar
  13. 13.
    B. Hille, Ionic channels of excitable membranes (Sinauer associates Sunderland, MA, 1984)Google Scholar
  14. 14.
    M. Smotherman, P. Narins, J. Neurophysiol. 79, 312 (1998)Google Scholar
  15. 15.
    M.S. Blumberg, et al., J. Neurophysiol. 91, 583 (2004)Google Scholar
  16. 16.
    P.A. Tass, Phase resetting in medicine and biology (Springer, 2007)Google Scholar
  17. 17.
    H. Huang, S. Delikanli, H. Zeng, D.M. Ferkey, A. Pralle, Nat. Nanotechnol. 5, 602 (2010)ADSCrossRefGoogle Scholar
  18. 18.
    K. Lugo, X. Miao, F. Rieke, L.Y. Lin, Biomedical Optics Expr. 3, 447 (2012)CrossRefGoogle Scholar
  19. 19.
    S.A. Stanley, J.E. Gagner, S. Damanpour, M. Yoshida, J.S. Dordick, J.M. Friedman, Sci. Signalling 336, 604 (2012)Google Scholar
  20. 20.
    J.M. Jørgensen, Å . Flock, J. Wersäll, Z. Zellforsch. Mikroskopische Anatomie 130, 362 (1972)CrossRefGoogle Scholar
  21. 21.
    A.B. Neiman, D.F. Russell, J. Neurophysiol. 92, 492 (2004)CrossRefGoogle Scholar
  22. 22.
    R. Weissleder, Nat. Biotechnol. 19, 316 (2001)CrossRefGoogle Scholar
  23. 23.
    D.E. Reisner, Bionanotechnology: global prospects (CRC Press, 2008)Google Scholar
  24. 24.
    A.O. Govorov, W. Zhang, T. Skeini, H. Richardson, J. Lee, N.A. Kotov, Nanoscale Res. Lett. 1, 84 (2006)ADSCrossRefGoogle Scholar
  25. 25.
    H.S. Carslaw, J.C. Jaeger, Conduction of Heat in Solids (Oxford University Press, 1993)Google Scholar
  26. 26.
    C. Morris, H. Lecar, Biophys. J. 35, 193 (1981)ADSCrossRefGoogle Scholar
  27. 27.
    J. Lu, H. Fishman, Biophys. J. 69, 2458 (1995)ADSCrossRefGoogle Scholar
  28. 28.
    H. Braun, M. Huber, M. Dewald, K. Schäfer, K. Voigt, Int. J. Bif. Chaos 8, 881 (1998)CrossRefzbMATHGoogle Scholar
  29. 29.
    Y.D. Sato, K. Okumura, A. Ichiki, M. Shiino, H. Câteau, Phys. Rev. E 85, 031910 (2012)ADSCrossRefGoogle Scholar
  30. 30.
    P.E. Kloeden, E. Platen, Numerical solution of stochastic differential equations (Springer Verlag, 1992)Google Scholar
  31. 31.
    A. Pikovsky, M. Rosenblum, J. Kurths, Synchronization: a universal concept in nonlinear sciences, Vol. 12 (Cambridge University Press, 2003)Google Scholar
  32. 32.
    P. Tass, Europhys. Lett. 59, 199 (2002)ADSCrossRefGoogle Scholar
  33. 33.
    A.O. Govorov, H.H. Richardson, Nano Today 2, 30 (2007)CrossRefGoogle Scholar
  34. 34.
    H.H. Richardson, Z.N. Hickman, A.O. Govorov, A.C. Thomas, W. Zhang, M.E. Kordesch, Nano Lett. 6, 783 (2006)ADSCrossRefGoogle Scholar
  35. 35.
    H.H. Richardson, M.T. Carlson, P.J. Tandler, P. Hernandez, A.O. Govorov, Nano Lett. 9, 1139 (2009)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • G.S. Assanov
    • 1
  • Z.Zh. Zhanabaev
    • 1
  • A.O. Govorov
    • 2
  • A.B. Neiman
    • 2
    Email author
  1. 1.Al-Farabi Kazakh National UniversityAlmatyKazakhstan
  2. 2.Department of Physics and AstronomyOhio UniversityAthensUSA

Personalised recommendations