Vibrations in Microtubules

Vibrations in microtubules and actin filaments are analysed using amethod similar to that employed for description of lattice vibrationsin solid state physics. The derived dispersion relations show thatvibrations in microtubules can have optical and acoustical branches.The highest frequency of vibrations in microtubules and in actinfilaments is of the order of 108 Hz. Vibrations are polar andinteraction with surroundings is mediated by the generatedelectromagnetic field. Supply of energy from hydrolysis of guanosinetriphosphate (GTP) in microtubules and of adenosine triphosphate(ATP) in actin filaments may excite the vibrations.

[1]  Stuart R. Hameroff,et al.  Microtubules and their role in neuromolecular computing , 1994 .

[2]  T D Pollard,et al.  Mechanical properties of brain tubulin and microtubules , 1988, The Journal of cell biology.

[3]  H. Fröhlich,et al.  The Biological Effects of Microwaves and Related Questions , 1980 .

[4]  H. Fröhlich.  Long-range coherence and energy storage in biological systems , 1968 .

[5]  M. Caplow,et al.  Evidence that a single monolayer tubulin-GTP cap is both necessary and sufficient to stabilize microtubules. , 1996, Molecular biology of the cell.

[6]  L. Marton,et al.  Advances in Electronics and Electron Physics , 1958 .

[7]  Tuszynski,et al.  Kinklike excitations as an energy-transfer mechanism in microtubules. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  M. Caplow,et al.  Induction of microtubule catastrophe by formation of tubulin-GDP and apotubulin subunits at microtubule ends. , 1995, Biochemistry.

[9]  R Ezzell,et al.  F-actin, a model polymer for semiflexible chains in dilute, semidilute, and liquid crystalline solutions. , 1996, Biophysical journal.

[10]  P. Janmey,et al.  Elasticity of semiflexible biopolymer networks. , 1995, Physical review letters.

[11]  P. Janmey,et al.  Viscoelastic properties of vimentin compared with other filamentous biopolymer networks , 1991, The Journal of cell biology.

[12]  H. Fröhlich,et al.  Bose condensation of strongly excited longitudinal electric modes , 1968 .

[13]  P. Janmey,et al.  Mechanical Effects of Neurofilament Cross-bridges , 1996, The Journal of Biological Chemistry.

[14]  M. Caplow,et al.  The free energy for hydrolysis of a microtubule-bound nucleotide triphosphate is near zero: all of the free energy for hydrolysis is stored in the microtubule lattice [published erratum appears in J Cell Biol 1995 Apr;129(2):549] , 1994, The Journal of cell biology.

[15]  B Hess,et al.  Spatial patterns from oscillating microtubules. , 1989, Science.

[16]  Jack A. Tuszynski,et al.  Ferroelectric behavior in microtubule dipole lattices: Implications for information processing, signaling and assembly/disassembly* , 1995 .