Linear oscillatory dynamics of flexoelectric membranes embedded in viscoelastic media with applications to outer hair cells

Journal of Non-Newtonian Fluid Mechanics

Volumn 185-186, Issue , 2012, Pages 1-17

  Abou Dakka, M ^a   Herrera Valencia, E E ^a   Rey, Alejandro D ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Biological outer hair cells; Electro viscoelasticity; Flexoelectric membrane actuation; Flexoelectric driven viscoelastic capillary flow

Indexed keywords

ARBITRARY FREQUENCIES; CIRCULAR MEMBRANES; ELECTRIC POLARIZATION; ELECTRIC-FIELD DYNAMICS; ELECTRO-VISCOELASTICITY; ELECTROMECHANICAL COUPLING EFFECTS; ELECTROMECHANICAL SYSTEMS; ELECTROMOTILITY; FLEXOELECTRIC; FLEXOELECTRICITY; FREQUENCY-DEPENDENT; HARMONIC ELECTRIC FIELD; INNER EAR; INNER SURFACES; MATERIAL SPACE; MECHANICAL POWER; MEMBRANE ACTUATION; MEMBRANE BENDING; MEMBRANE MATERIAL; OSCILLATORY DYNAMICS; OUTER HAIR CELL; POWER CONVERSION EFFICIENCIES; RESONANT PEAKS; SECOND ORDERS; SECOND-ORDER DYNAMICAL SYSTEMS; SHAPE EQUATION; SMALL AMPLITUDE; SOLID MODEL; TOTAL POWER; VISCO-ELASTIC FLUID; VISCOELASTIC MEDIA;

AUDITION; CAPILLARITY; CAPILLARY FLOW; CELLS; CONVERSION EFFICIENCY; CYTOLOGY; DYNAMICAL SYSTEMS; DYNAMICS; ELASTICITY; ELECTRIC FIELDS; ELECTROMECHANICAL COUPLING; FREQUENCY RESPONSE; VISCOELASTICITY; VISCOSITY;

MEMBRANES;

EID: 84867044858     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2012.07.007     Document Type: Article

References (59)

1. de Gennes P.G., Prost J. The Physics of Liquid Crystals 1994, Oxford University Press, United Kingdom. second ed.
2. Petrov A.G. Electricity and mechanics of biomembrane systems: flexoelectricity in living membranes. Anal. Chim. Acta 2006, 568:70-83.
3. Petrov A.G. Flexoelectricity of model and living membranes. BBA - Biomembranes 2001, 1561:1-25.
4. Petrov A.G. Lyotropic State of Matter 1999, Gordon and Breach Science Publisher, Amsterdam.
5. Meyer R.B. Piezoelectric effects in liquid crystals. Phys. Rev. Lett. 1969, 22:918-921.
6. Sachs F., Brownell W.E., Petrov A.G. Membrane electromechanics in biology, with a focus on hearing. MRS Bull. 2009, 34:1-14.
7. Patel J.S., Meyer R.B. First description of flexoelectrooptics in uniform lying helix alignment. Phys. Rev. Lett. 1987, 58:1538-1540.
8. Broughton B.J., Clarke M.J., Blatch A.E., Coles H.J. Optimized flexoelectric response in achiral liquid-crystal phase device. J. Appl. Phys. 2005, 98:034109/1-034109/6.
9. Carbone G., Salter P., Elston S., Raynes P., Sio L.D., Ferjani S., Strangi G., Umeton C., Bartolino R. Short pitch cholesteric electro-optical deviced based on periodic polymer structures. Appl. Phys. Lett. 2009, 95:011102/1-011102-3.
10. Salter P.S., Elston S.J., Raynes E.P., Parry-Jones L.A. Alignment of the uniform lying helix structure in cholesteric liquid crystals. Jpn. J. Appl. Phys. 2009, 48:101302/1-101302/5.
11. A.I. Jakli, J.E. Harden, S. Sprunt, J.T. Gleeson, US Patent No. 0182026 (2010).
12. Kleman M., Lavrentovich O.D. Soft Matter Physics: An Introduction 2003, Springer Verlag, New York.
13. Rey A.D. Nonlinear actuator model for flexoelectric membranes. Int. J. Des. Nat. Ecodynam. 2008, 3:28-38.
14. Rey A.D. Liquid crystals model of membrane flexoelectricity. Phys. Rev. E 2006, 74:011710/1-011710/11.
15. Rey A.D. Liquid crystals model of membrane flexoelectricity. Virtual J. Biol. Phys. Res. 2006, 12:011710/1-011710/11.
16. Rey A.D. Polar fluid model of viscoelastic membranes and interfaces. J. Colloid Interface Sci. 2006, 304:226-238.
17. Rey A.D. Linear viscoelastic model for bending and torsional modes in fluid membranes. Rheol. Acta 2008, 47:861-871.
18. Kralchevsky P.A., Nagayama K. Particles at Fluids Interfaces and Membranes 2001, Elsevier, Amsterdam.
19. Rey A.D. Mechanics of soft solids-liquid crystals interfaces. Phys. Rev. E 2005, 72:117061-1170616.
20. Rey A.D. Capillary models for liquid crystal fibers, membranes, films, and drops. Soft Matter 2007, 2:1349-1368.
21. Rey A.D. Liquid crystals models of biological materials and processes. Soft Matter 2010, 6:3402-3429.
22. Rey A.D., Herrera-Valencia E.E. Liquid crystal models of biological materials and silk spinning. Biopolymers 2012, 97:374-396.
23. Rey A.D., Herrera-Valencia E.E. Micromechanics model of liquid crystals anisotropic triple lines with applications to contact line self-assembly. Langmuir 2010, 26:1349-1368.
24. Rey A.D., Herrera Valencia E.E. A model for mesophase wetting thresholds of sheets, fibers and fiber bundles. Soft Matter 2011, 7:5002-5009.
25. Harden J., Teeling R., Gleeson J.T., Sprunt S., Jákli A. " Converse flexoelectricity effect in a bent-core nematic liquid crystal" Phys. Rev. E 2008, 78:031702/1-031702/5.
26. Harden J., Chambers M., Verduzco R., Luchette P., Gleeson J.T., Sprunt S., Jákli A. Giant flexoelectricity in bent-core nematic liquid crystals elastomers. Appl. Phys. Lett. 2010, 96:102907/1-102907/3.
27. Raphael R.M., Popel A.S., Brownell W.E. Recent Developments in Auditory Mechanics 1993, World Scientific Publishing, Singapore.
28. Brownell W.E. Evoked mechanical responses of isolated cochlear outer hair cells. Science 1985, 227:194-196.
29. Moore B.C.J. Cochlear Hearing Loss: Physiological and Technical Issues 2007, John-Wiley & Sons Ltd., England. second ed.
30. Hawkins R.D., Lovett M. The developmental genetics of auditory hair cells. Hum. Mol. Genet. 2004, 13:R289-R296.
31. Spector A.A., Deo N., Ratnanather J.T., Raphael R.M. Electromechanical models of the outer hair cell composite membrane. J. Membr. Biol. 2006, 209:135-152.
32. Yucel U., Kazakia J.Y. Viscoelastic effects in pressure transduction. J. Non-Newtonian Fluid Mech. 2004, 123:59-66.
33. Raphael R.M., Popel A.S., Brownell W.E. A membrane bending model of outer hair cell electromotility. Biophys. J. 2000, 78:2844-2862.
34. Rabbits R.D., Clifford S., Breneman K.D., Farrell B., Brownell W.E. Power efficiency of outer hair cell somatic electromotility. Comput. Biol. 2009, 5:1-14.
35. Bird R.B., Armstrong R.C., Hassager O. Dynamics of Polymeric Liquids 1987, vol. 1. John Wiley & Sons, New York.
36. H. Barnes, K. Walters, An introduction to rheology, in: H.A. Barnes, J.F. Hutton, K. Walters, Elsevier, Amsterdam, 1989.
37. Calderas F., Sánchez-Solis A., Maciel A., Manero O. The transient flow of the PETPEN-montmorillonite clay nanocomposite. Macromol Symp. MACROMEX 2009, 283-284:354-360.
38. Herrera E.E., Calderas F., Chavez A.E., Manero O., Mena B. Effect of random longitudinal vibrations pipe on the Poiseuille flow of a complex liquid. Rheol. Acta 2009, 48:779-800.
39. Herrera E.E., Calderas F., Chavez A.E., Manero O. Study on the pulsating flow of worm-like micellar solution. J. Non-Newtonian Fluid Mech. 2010, 165:174-183.
40. Slattery J.C., Sagis L., Oh E.S. Interfacial Transport Phenomena 2007, Springer, New York. second ed.
41. Edwards D.A., Brenner H., Wasan D.T. Interfacial Transport Processes and Rheology 1991, Butterworth-Heinemann, Burlington, MA.
42. Quintanilla R., Rajagopal K.R. On Burgers fluids. Math. Methods Appl. Sci. 2006, 29:2133-2147.
43. Jager A., Lackner R. Identification of viscoelastic model parameters by means of cyclic nanoindentation testing. Int. J. Mater. Res. 2008, 99:1-8.
44. Findley W.N., Lai J.S., Onaran K. Creep and Relaxation of Non-Linear Viscoelastic Materials with an Introduction to Linear Viscoelasticity 1976, Dover Publications, New York.
45. Qausar M. Attenuation properties of viscoelastic material. Pure Appl. Geophys. 1989, 131:703-713.
46. Cooper R.F. Seismic wave attenuation: energy dissipation in viscoelastic crystalline solids. Rev. Miner. Geochem. 2002, 51:253-290.
47. Nguyen S.T., Dormieux L., Pape Y.L., Sanahuja J. A burger model for the effective behavior of a microcracked viscoelastic solid. Int. J. Damage Mech. 2011, 20:1116-1129.
48. Fikus M., Pawlowski P. Bioelectrorheolgical model of the cell. 2. Analysis of creep and its experimental verification. J. Theor. Biol. 1989, 137:365-373.
49. Mohsenin N.N. Physical Properties of Plant and Animal Materials: Structure, Physical Characteristic, and Mechanical Properties 1986, Gordon and Beach, New York. second ed.
50. Main I.G. Vibrations and Waves in Physics 1993, Cambridge University Press, Cambridge. third ed.
51. Taliadorou E.G., Neophytou M., Georgiou G.C. Perturbation solutions of Poiseuille flows of weakly compressible Newtonian liquids. J. Non-Newtonian Fluid Mech. 2009, 163:25-34.
52. Panagopoulos D.J., Messini N., Karabarbounis A., Philippetis A.L., Margaritis L.H. A mechanism for action of oscillating electric fields on cells. Biochem. Biophys. Res. Commun. 2000, 272:634-640.
53. Sachs F., Brownell W.E., Petrov A.G. Membrane electromechanics in biology, with a focus on hearing. MRS Bull. 2009, 34:665-670.
54. Messini N., Karabarbounis A., Philippetis A.L., Margaritis L.H. A mechanism for action of oscillating electric field on cells. Biophys. Res. Commun. 2000, 272:634-640.
55. Oghalai J.S., Zhao H.B., Kutz J.W., Brownell W.E. Voltage- and tension-dependent lipid mobility in the outer hair cell plasma membranes. Science 2000, 287:658-661.
56. Thornton A.R., Abbas P.J. Low-frequency hearing loss: perception of filtered speech psychophysical tuning curves, and masking. J. Acoust. Soc. Am. 1980, 67:638-643.
57. Ehrenstein D., Iwasa K.H. Viscoelastic relaxation in the membrane of the auditory outer hair cell. J. Biophys. 1996, 71:1087-1094.
58. Greenleaf J.F., Fatemi M., Insana M. Selected methods for imagine elastic properties of biological tissues. Ann. Rev. Biomed. Eng. 2003, 5:57-78.
59. Manduca A., Oliphant T.E., Dresner M.A., L Mahowald J., Kruse S.A., Amromin E., Felmlee J.P., Greenleaf J.F., Ehamn R.L. Magnetic resonance elastography: noninvasive mapping of tissue elasticity. Med. Image Anal. 2001, 5:237-254.