Ionic Wave Propagation along Actin Filaments

Biophysical Journal

Volumn 86, Issue 4, 2004, Pages 1890-1903

  Tuszynski J A ^a   Portet, S ^a   Dixon, J M ^a,c   Luxford, C ^a   Cantiello, H F ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b MASSACHUSETTS GENERAL HOSPITAL   (United States)

^c UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIN FILAMENT; ARTICLE; ELECTRIC CONDUCTIVITY; ION TRANSPORT; MOLECULAR MODEL; SIGNAL TRANSDUCTION; VISCOSITY;

MARTES PENNANTI;

EID: 1942487809     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(04)74255-1     Document Type: Article

References (50)

1. Alberts, B., D. Bray, A. Johnson, J. Lewis, M. Raff, K. Roberts, and P. Walter. 1998. Essential Cell Biology: An Introduction to the Molecular Biology of the Cell. Garland Science Publishing, New York.
2. Anderson, C., and M. Record. 1990. Ion distributions around DNA and other cylindrical polyions: theoretical descriptions and physical implications. Annu. Rev. Biophys. Biophys. Chem. 19:423-465.
3. Baverstock, K., and R. Cundall. 1988. Solitons and energy transfer in DNA. Nature. 332:312-313.
4. Brazhnik, P., and J. Tyson. 1999. On traveling wave solutions of Fisher's equation in two spatial dimensions. SIAM J. Appl. Math. 60:371-391.
5. Britton, N. 1986. Reaction-Diffusion Equations and Their Applications to Biology. Academic Press, New York.
6. Byrd, P., and M. Friedman. 1971. Handbook of Elliptic Integrals for Engineers and Scientists. Springer, Berlin.
7. Cantiello, H., C. Patenande, and K. Zaner. 1991. Osmotically induced electrical signals from actin filaments. Biophys. J. 59:1284-1289.
8. Chasan, B., N. Geisse, K. Pedatella, D. Wooster, M. Teintze, M. Carattino, W. Goldmann, and H. Canteillo. 2002. Evidence for direct interaction between actin and the cystic fibrosis transmembrane conductance regulator. Eur. Biophys. J. 30:617-624.
9. Coppin, C., and P. Leavis. 1992. Quantitation of liquid-crystalline ordering in F-actin solution. Biophys. J. 63:794-807.
10. Davydov, A. S. 1982. Biology and Quantum Mechanics. Pergamon Press, Oxford, UK.
11. Fife, P., and J. McLeod. 1977. The approach of solutions of nonlinear diffusion equations to traveling wave solutions. Arch. Rat. Mech. Anal. 65:335-361.
12. Fisher, R. 1937. The wave of advance of advantageous genes. Ann. Eugenics. 7:353-369.
13. Fröhlich, H. 1975. The extraordinary dielectric properties of biological materials and the action of enzymes. Proc. Natl. Acad. Sci. USA. 72:4211-4215.
14. Fröhlich, H. 1984. Nonlinear Electrodynamics in Biological Systems. Plenum Press, New York.
15. Furukawa, R., R. Kundra, and M. Fechkeimer. 1993. Formation of liquid crystals from actin filaments. Biochemistry. 32:12346-12352.
16. Hagan, S., S. R. Hameroff, and J. A. Tuszynski. 2002. Quantum computation in brain microtubules: decoherence and biological feasibility. Phys. Rev. E. 65:1-10.
17. Hameroff, S., A. Nip, M. Porter, and J. A. Tuszynski. 2002. Conduction pathways in microtubules, biological quantum computation, and consciousness. Biosystems. 64:149-168.
18. Hille, B. 1992. Ionic Channels of Excitable Membranes. Sinauer Associates, Sunderland, MA.
19. Holmes, K., D. Popp, W. Gebhard, and W. Kabsch. 1990. Atomic model of the actin filament. Nature. 347:44-49.
20. Janmey, P. 1998. The cytoskeleton and the cell signaling: component localization and mechanical coupling. Physiol. Rev. 78:763-781.
21. Kabsch, W., H. Mannberg, D. Suck, E. Pai, and K. Holmes. 1990. Atomic structure of the actin: DNAse I complex. Nature. 347:37-44.
22. Kaech, S., H. Brinkhaus, and A. Matus. 1999. Volatile anesthetics block actin-based motility in dendritic spines. Proc. Natl. Acad. Sci. USA. 96: 10433-10437.
23. Kobayasi, S. 1964. Effect of electric field on F-actin orientated by flow. Biochim. Biophys. Acta. 88:541-552.
24. Kobayasi, S., H. Asai, and F. Oosawa. 1964. Electric birefringence of actin. Biochim. Biophys. Acta. 88:528-540.
25. Kolmogoroff, A., I. Petrovsky, and N. Piscounoff. 1937. Study of the diffusion equation with growth of the quantity of matter and its application to a biological problem. Moscow Univ. Bull. Math. 1:1-25.
26. Kolosick, J., D. Landt, H. Hsuan, and K. Lonngren. 1974. Properties of solitary waves as observed on a non-linear dispersive transmission line. Proc. IEEE. 62:578-581.
27. Lader, A., H. Woodward, E. Lin, and H. Cantiello. 2000. Modeling of ionic waves along actin filaments by discrete electrical transmission lines. METMBS '00 International Conference. 77-82.
28. Le Bret, M., and B. H. Zimm. 1984. Distribution of counterions around a cylindrical polyelectrolyte and Manning's condensation theory. Biopolymers. 23:287-312.
29. Lin, E., and H. Cantiello. 1993. A novel method to study the electrodynamic behavior of actin filaments. Evidence of cable-like properties of actin. Biophys. J. 65:1371-1378.
30. Lonngren, K. 1978. Observations of solitons on non-linear dispersive transmission lines. In Solitons in Action. K. E. Lonngren and A. C. Scott editors. Academic Press, New York. 127-152.
31. Ma, Z., J. Wang, and H. Guo. 1999. Weakly nonlinear ac response: theory and application. Phys. Rev. B. 59:7575-7578.
32. MacInnes, D. A. 1961. The Principles of Electrochemistry. Dover Publications, London.
33. Manning, G. 1969. Limiting laws and counterion condensation in polyelectrolyte solutions I. Colligative properties. J. Chem. Phys. 51:924-933.
34. Manning, G. S. 1978. The molecular theory of polyelectrolyte solutions with applications to the electrostatic properties of polynucleotides. Q. Rev. Biophys. 2:179-246.
35. Mavromatos, N. E. 1999. Quantum-mechanical coherence in cell microtubules: a realistic possibility? Bioelectrochem. Bioenerg. 48:273-284.
36. Noguchi, A. 1974. Solitons in a non-linear transmission line. Electronics and Communications in Japan. 57:9-13.
37. Oosawa, F. 1970. Counterion fluctuation and dielectric dispersion in linear polyelectrolytes. Biopolymers. 9:677-688.
38. Oosawa, F. 1971. Polyelectrolytes. Marcel Dekker, New York.
39. Ostrovskii, L. 1977. Shock waves and solitons (selected problems). Radiophysics and Quantum Electronics. 18:464-486.
40. Parodi, M., B. Bianco, and A. Chiabrera. 1985. Toward molecular electronics. Self-screening of molecular wires. Cell Biophys. 7:215-235.
41. Pollard, T., and J. Cooper. 1986. Actin and actin-binding proteins. a critical evaluation of mechanisms and functions. Annu. Rev. Biochem. 55:987-1035.
42. Rullman, J., and P. van Duijnem. 1990. Potential energy models of biological macromolecules: a case ab initio quantum chemistry. Rep. Mol. Theory. 1:1-21.
43. Sataric, M., J. Tuszynski, and R. Zakula. 1993. Kink-like excitations as an energy-transfer mechanism in microtubules. Phys. Rev. E. 48:589-597.
44. Segel, L., and H. Parnas. 1991. What controls the exocytosis of neurotransmitters. In Biologically Inspired Physics. L. Peliti, editor. Plenum Press, New York.
45. Sept, D., J. Xu, T. Pollard, and J. McCammon. 1999. Annealing accounts for the length of actin filaments formed by spontaneous polymerization. Biophys. J. 77:2911-2919.
46. Tang, J., and P. Janmey. 1996. The polyelectrolyte nature of F-actin and the mechanism of actin bundle formation. J. Biol. Chem. 271:8556-8563.
47. Torbet, J., and M. Dickens. 1984. Orientation of muscle actin in strong magnetic fields. FEBS Lett. 173:403-406.
48. Tuszyński, J. A., and J. M. Dixon. 2001. Biomedical Applications of Introductory Physics. John Wiley and Sons, New York.
49. Wang, B. G., X. A. Zhao, J. Wang, and H. Guo. 1999. Nonlinear quantum capacitance. Appl. Phys. Lett. 74:2887-2889.
50. Zimm, B. 1986. Use of the Poisson-Boltzmann equation to predict ion condensation around polyelectrolytes. In Coulombic Interactions in Macromolecular Systems. A. Gisenhart and F. E. Bailey, editors. American Chemical Society, Washington, DC. 212-215.