@ARTICLE{tuszynski2007propagation,
  author = {Tuszy{\'n}ski, JA and Portet, S and Dixon, JM},
  title = {Propagation of localized bending deformations in microtubules},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2007},
  volume = {7},
  pages = {1030805--1030806},
  number = {1},
  abstract = {A continuum medium model is proposed describing a microtubule (MT)
	as an elastic rod. When the MT is subjected to a constant bending
	force, the dynamics of the angular deviation, with respect to the
	MT's rectilinear configuration, is governed by a Sine-Gordon equation.
	Particular analytical solutions are kink and anti-kink bending modes
	which may propagate at various speeds along the MT's length. Kinetic
	energies of these modes compare with thermal and ATP hydrolysis energies.},
  doi = {10.1002/pamm.200700860}
}