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Electrodiffusion instability in spherical cells

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Abstract

An electrodiffusion model is used to analyze the behavior of an isolated spherical cell. It is shown that under the influence of fluctuations of the membrane protein density instability may develop, leading to the evolution of ion currents in the cell. Instability thresholds and characteristic harmonic frequencies are determined. General expressions are obtained for the instability thresholds for a system of two spherical cells and an analysis is made of the case of fairly distant cells which allows fundamental qualitative conclusions to be drawn on the nature of the ensuing instabilities.

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References

  1. N. A. R. Gow, Adv. Microb. Physiol. 30, 89 (1989).

    Google Scholar 

  2. B. Fontaine and J. P. Changeux, J. Cell Biol. 108, 1025 (1989).

    Article  Google Scholar 

  3. C. M. Colbert and D. Johnston, J. Neurosci. 16, 6676 (1996).

    Google Scholar 

  4. F. M. Harold and J. H. Caldwell, Tip Grows in Plant and Fungal Cells (Academic, New York, 1990).

    Google Scholar 

  5. R. Larter and P. Ortoleva, J. Theor. Biol. 96, 175 (1982).

    Article  MathSciNet  Google Scholar 

  6. L. F. Jaffe, K. R. Robinson, and R. Nuccitelli, Ann. N. Y. Acad. Sci. 9, 372 (1974).

    Google Scholar 

  7. K. Toko, H. Chosa, and K. Yamafuji, J. Theor. Biol. 114, 127 (1985).

    Google Scholar 

  8. P. Pelce, Phys. Rev. Lett. 71, 1107 (1993).

    Article  ADS  Google Scholar 

  9. M-m Poo and K. R. Robinson, Nature 265, 602 (1977).

    Article  Google Scholar 

  10. D. L. Kropf, Microbiol. Rev. 56, 316 (1992).

    Google Scholar 

  11. M. Léonetti and E. Dubois-Violette, Phys. Rev. E 56, 4521 (1997); Phys. Rev. Lett. 81, 1977 (1998).

    Article  ADS  Google Scholar 

  12. L. F. Jaffe, Adv. Morphog. 7, 295 (1968).

    Google Scholar 

Download references

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow oblast, 142432, Russia

    V. G. Kamenskii

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  1. V. G. Kamenskii
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 117, No. 6, 2000, pp. 1280–1288.

Original Russian Text Copyright © 2000 by Kamenski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \).

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Kamenskii, V.G. Electrodiffusion instability in spherical cells. J. Exp. Theor. Phys. 90, 1114–1121 (2000). https://doi.org/10.1134/1.559202

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  • DOI: https://doi.org/10.1134/1.559202

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