Ionic wave propagation along actin filaments. (bibtex)
by J. A. Tuszyński, S. Portet, J. M. Dixon and C. Luxford and H. F. Cantiello
Abstract:
We investigate the conditions enabling actin filaments to act as electrical transmission lines for ion flows along their lengths. We propose a model in which each actin monomer is an electric element with a capacitive, inductive, and resistive property due to the molecular structure of the actin filament and viscosity of the solution. Based on Kirchhoff's laws taken in the continuum limit, a nonlinear partial differential equation is derived for the propagation of ionic waves. We solve this equation in two different regimes. In the first, the maximum propagation velocity wave is found in terms of Jacobi elliptic functions. In the general case, we analyze the equation in terms of Fisher-Kolmogoroff modes with both localized and extended wave characteristics. We propose a new signaling mechanism in the cell, especially in neurons.
Reference:
Ionic wave propagation along actin filaments. (J. A. Tuszyński, S. Portet, J. M. Dixon and C. Luxford and H. F. Cantiello), In Biophys J, volume 86, 2004.
Bibtex Entry:
@ARTICLE{Tuszynski2004,
  author = {J. A. Tuszyński and S. Portet and J. M. Dixon and C. Luxford and
	H. F. Cantiello},
  title = {Ionic wave propagation along actin filaments.},
  journal = {Biophys J},
  year = {2004},
  volume = {86},
  pages = {1890--1903},
  number = {4},
  month = {Apr},
  abstract = {We investigate the conditions enabling actin filaments to act as electrical
	transmission lines for ion flows along their lengths. We propose
	a model in which each actin monomer is an electric element with a
	capacitive, inductive, and resistive property due to the molecular
	structure of the actin filament and viscosity of the solution. Based
	on Kirchhoff's laws taken in the continuum limit, a nonlinear partial
	differential equation is derived for the propagation of ionic waves.
	We solve this equation in two different regimes. In the first, the
	maximum propagation velocity wave is found in terms of Jacobi elliptic
	functions. In the general case, we analyze the equation in terms
	of Fisher-Kolmogoroff modes with both localized and extended wave
	characteristics. We propose a new signaling mechanism in the cell,
	especially in neurons.},
  doi = {10.1016/S0006-3495(04)74255-1},
  institution = {Department of Physics, University of Alberta, Edmonton, Alberta T6G
	2J1, Canada. jtus@phys.ualberta.ca},
  keywords = {Actin Cytoskeleton, physiology; Actins, chemistry; Ion Transport,
	physiology; Models, Theoretical},
  language = {eng},
  medline-pst = {ppublish},
  owner = {sportet},
  pii = {S0006-3495(04)74255-1},
  pmid = {15041636},
  timestamp = {2013.11.13},
  url = {http://dx.doi.org/10.1016/S0006-3495(04)74255-1}
}
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