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A nonlinear model of ionic wave propagation along microtubules

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An Erratum to this article was published on 17 September 2009

Abstract

Microtubules (MTs) are important cytoskeletal polymers engaged in a number of specific cellular activities including the traffic of organelles using motor proteins, cellular architecture and motility, cell division and a possible participation in information processing within neuronal functioning. How MTs operate and process electrical information is still largely unknown. In this paper we investigate the conditions enabling MTs to act as electrical transmission lines for ion flows along their lengths. We introduce a model in which each tubulin dimer is viewed as an electric element with a capacitive, inductive and resistive characteristics arising due to polyelectrolyte nature of MTs. Based on Kirchhoff’s laws taken in the continuum limit, a nonlinear partial differential equation is derived and analyzed. We demonstrate that it can be used to describe the electrostatic potential coupled to the propagating localized ionic waves.

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Acknowledgments

The authors from Faculty of Technical Sciences are grateful for grants 141018A and 23036 provided by the Government of Serbia. JAT gratefully acknowledges funding for this project from NSERC, Alberta Cancer Foundation, the Allard Foundation and Alberta's Advanced Education and Technology.

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Correspondence to D. I. Ilić.

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An erratum to this article can be found at http://dx.doi.org/10.1007/s00249-009-0540-z

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Satarić, M.V., Ilić, D.I., Ralević, N. et al. A nonlinear model of ionic wave propagation along microtubules. Eur Biophys J 38, 637–647 (2009). https://doi.org/10.1007/s00249-009-0421-5

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  • DOI: https://doi.org/10.1007/s00249-009-0421-5

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