The European Physical Journal Special Topics

, Volume 222, Issue 10, pp 2667–2676 | Cite as

From excitability to oscillations: A case study in vasomotion

  • D.E. PostnovEmail author
  • A.Y. Neganova
  • J.C.B. Jacobsen
  • N.-H. Holstein-Rathlou
  • O. Sosnovtseva
Regular Article Applications in Biology and Medicine


One consequence of cell-to-cell communication is the appearance of synchronized behavior, where many cells cooperate to generate new dynamical patterns. We present a simple functional model of vasomotion based on the concept of a two-mode oscillator with dual interactions: via relatively slow diffusive coupling that gives rise to wave dynamics and via fast changes in membrane potential that propagate almost instantly over significant distances. The model reproduces the basic calcium dynamics of the vascular smooth muscle cell: calcium waves which upon increased activity of cGMP-sensitive calcium-dependent chloride channels in the plasma membrane may synchronize into whole-cell oscillations which subsequently may spread across a large population of cells. We show how heterogeneity of the system can induce new patterns.


Sarcoplasmic Reticulum European Physical Journal Special Topic Membrane Voltage Calcium Dynamic Cytosolic Calcium Concentration 
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.


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  1. 1.
    A. Colantuoni, S. Bertuglia, M. Intaglietta, Am. J. Phys. 246, 508 (1984)Google Scholar
  2. 2.
    K. Fujii, D.D. Heistad, F.M. Faraci, J. Physiol. 430, 389 (1990)Google Scholar
  3. 3.
    H. Gustafsson, Acta Physiol. Scand. 614, 2 (1993)Google Scholar
  4. 4.
    H. Peng, V. Matchkov, A. Ivarsen, C. Aalkjaer, H. Nilsson, Circ. Res. 88, 810 (2001)CrossRefGoogle Scholar
  5. 5.
    C. Aalkjaer, D. Boedtkjer, V Matchkov, Acta Physiol. 202, 253 (2011)CrossRefGoogle Scholar
  6. 6.
    K.M. Sanders, J. Appl. Physiol. 91, 1438 (2001)Google Scholar
  7. 7.
    J.C.B. Jacobsen, C. Aalkjaer, H. Nilsson, V. Matchkov, J. Freiberg, N.-H. Holstein-Rathlou, Am. J. Physiol. Heart Circ. Physiol. 293, 215 (2007)CrossRefGoogle Scholar
  8. 8.
    J.C. Jacobsen, C. Aalkjaer, H. Nilsson, V.V. Matchkov, J. Freiberg, N.-H. Holstein-Rathlou, Am. J.Physiol. – Heart Circ Physiol. 293, 229 (2007)CrossRefGoogle Scholar
  9. 9.
    E. Mosekilde, O. Sosnovtseva, A. Rostami-Hodjegan (eds.), Biosimulation in biomedical research, health care and drug development (Springer Wien New York, 2012)Google Scholar
  10. 10.
    J. Sneyd, B.T. Wetton, A.C. Charles, M.J. Sanderson, Am. J. Physiol. 268, 1537 (1995)Google Scholar
  11. 11.
    T. Höfer, A. Politi, R. Heinrich, Biophys. J. 80, 75 (2001)CrossRefGoogle Scholar
  12. 12.
    M. Bindschadler, J. Sneyd, Chaos 11, 237 (2001)ADSCrossRefzbMATHGoogle Scholar
  13. 13.
    M. Koenigsberger, R. Sauser, J.-J. Meister, Bull. Math. Biol. 67, 1253 (2005)MathSciNetCrossRefGoogle Scholar
  14. 14.
    M. Koenigsberger, R. Sauser, J.-L. Bény, J.-J. Meister, Biophys. J. 91, 1663 (2006)ADSCrossRefGoogle Scholar
  15. 15.
    D. Parthimos, R.E. Haddock, C.E. Hill, T.M. Griffith, Biophys. J. 93, 1534 (2007)ADSCrossRefGoogle Scholar
  16. 16.
    C. Aalkjaer, H. Hilsson, British J. Pharmacol. 144, 605 (2005)CrossRefGoogle Scholar
  17. 17.
    G. Dupont, A. Goldbeter, Cell Calcium 14, 311 (1993)CrossRefGoogle Scholar
  18. 18.
    R. Fitzhugh, Biological Engineering, edited by H.P. Schwan (McGraw-Hill, New York, 1969)Google Scholar
  19. 19.
    A.L. Hodgkin, A.F. Huxley, J. Physiol. (Lond.) 117, 500 (1952)Google Scholar
  20. 20.
    A.S. Mikhailov, Physica D 55, 99 (1992)ADSCrossRefzbMATHGoogle Scholar
  21. 21.
    M. Stich, A.S. Mikhailov, Y. Kuramoto, Phys. Rev. E 79, 026110 (2009)ADSCrossRefGoogle Scholar
  22. 22.
    D.E. Postnov, D.D. Postnov, L. Schimansky-Geier, Brain Res. 1434, 200 (2012)CrossRefGoogle Scholar
  23. 23.
    D.E. Postnov, J.C. Brings Jacobsen, N.-H. Holstein-Rathlou, O.V. Sosnovtseva, Bull. Math. Biol. 73, 2507 (2011)MathSciNetCrossRefGoogle Scholar
  24. 24.
    A. Rahman, V. Matchkov, H. Nilsson, C. Aalkjaer, J. Vasc. Res. 42, 301 (2005)CrossRefGoogle Scholar
  25. 25.
    I.S. Bartlett, G.J. Crane, T.O. Neild, S.S. Segal, J. Vasc. Res. 37, 568 (2000)CrossRefGoogle Scholar
  26. 26.
    F. Sagués, J.M. Sancho, J. Garca-Ojalvo, Rev. Modern Phys. 79, 829 (2007)ADSCrossRefGoogle Scholar
  27. 27.
    J.C. Jacobsen, C. Aalkjaer, V.V. Matchkov, H. Nilsson, J.J. Freiberg, N.-H. Holstein-Rathlou, Phil. Trans. R. Soc. A 366, 3483 (2008)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • D.E. Postnov
    • 1
    Email author
  • A.Y. Neganova
    • 1
  • J.C.B. Jacobsen
    • 2
  • N.-H. Holstein-Rathlou
    • 2
  • O. Sosnovtseva
    • 2
  1. 1.Department of PhysicsSaratov State UniversitySaratovRussia
  2. 2.Department of Biomedical SciencesCopenhagen UniversityCopenhagen NDenmark

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