Abstract
Outer hair cell electromechanics, critically important to mammalian active hearing, is driven by the cell membrane potential. The membrane protein prestin is a crucial component of the active outer hair cell’s motor. The focus of the paper is the analysis of the local membrane potential and electric field resulting from the interaction of electric charges involved. Here the relevant charges are the ions inside and outside the cell, lipid bilayer charges, and prestin-associated charges (mobile—transferred by the protein under the action of the applied field, and stationary—relatively unmoved by the field). The electric potentials across and along the membrane are computed for the case of an applied DC-field. The local amplitudes and phases of the potential under different frequencies are analyzed for the case of a DC + AC-field. We found that the effect of the system of charges alters the electric potential and internal field, which deviate significantly from their traditional linear and constant distributions. Under DC + AC conditions, the strong frequency dependence of the prestin mobile charge has a relatively small effect on the amplitude and phase of the resulting potential. The obtained results can help in a better understanding and experimental verification of the mechanism of prestin performance.
Similar content being viewed by others
References
Ashmore J (1987) A fast motile response in guinea-pig outer hair cell: the cellular basis for cochlear amplifier. J Physiol 388:323–347
Ashmore J (2004) The cellular machinery in the cochlea. Exp Physiol 79:113–134
Ashmore J, Avan P, Brownell WE, Dallos P, Dierkes K, Fettiplace R, Grosh K, Hackney CM, Hudspeth AJ, Julicher F, Lindner B, Martin P, Meaud J, Petit C, Santos-Sacchi J, Canton B (2010) The remarkable cochlear amplifier. Hear Res 266:1–17
Bai J-P, Surguchev A, Montoya S, Aronson PS, Santos-Sacchi J (2009) Prestin’s anion transport and voltage-sensing capability are independent. Biophys J 96:3179–3185
Brownell WE, Bader CR, Bertrand D, Ribaupierre Y (1985) Evoked mechanical response of isolated cochlear outer hair cell. Science 227:194–196
Brownell WE, Spector AA, Raphael RM, Popel AS (2001) Micro-and nanomechanics of the cochlear outer hair cell. Annu Rev Biomed Eng 3:169–194
Chen C, Smye SW, Robinson MP, Evans JA (2006) Membrane electroporation theories: a review. Med Biol Eng Comput 44:5–14
Dallos P, Wu X, Cheatham MA, Gao J, Zheng J, Anderson CT, Jia S, Wang X, Cheng WHY, Sengupta S, He DZ, Zuo J (2008) Prestin-based outer hair cell motility is necessary for mammalian cochlear amplification. Neuron 58:333–339
Deak L, Zheng J, Orem A, Du GG, Aguinaga S, Matsuda K, Dallos P (2005) Effects of cyclic nucleotides on the function of prestin. J. Physiol (London) 563:483–496
Farrell B, Ugrinov R, Brownell WE (2006) Frequency dependence of admittance and conductance of the outer hair cell. In: Nuttall AL, Ren T, Gillespie PG, Grosh K, de Boer E (eds) Auditory mechanisms, processes, and models. World Scientific, New Jersey, pp 231–232
Frank G, Hemmer W, Gummer AW (1999) Limiting dynamics of high-frequency electromechanical transduction of outer hair cells. Proc Natl Acad Sci USA 96:4420–4425
Gorbunov D, Sturlese M, Nies F, Kluge M, Bellanda M, Battistutta R, Oliver D (2014) Molecular architecture and the structural basis for anion interaction in prestin and SLC26 transporters. Nat Commun 5:3622
Harland B, Brownell WE, Spector AA, Sun SX (2010) Voltage-induced bending and electromechanical coupling in lipid bilayers. Phys Rev E 81:031907
Heimburg T (2012) The capacitance and electromechanical coupling of lipid membranes close to transitions: the effect of electrostriction. Biophys J 103:918–929
Halter JA, Kruger RP, Yium MJ, Brownell WE (1997) The influence of the subsurface cisterna on the electrical properties of the outer hair cell. Neuroreport 8:2517–2521
Jain MK (1988) Introduction to biological membranes, 2nd edn. Wiley, New York
Johnson SL, Beurg M, Marcotti W, Fettiplace R (2011) Prestin-driven cochlear amplification is not limited by the outer hair cell membrane constant. Neuron 70:1143–1154
Kralj JM, Hochbaum DR, Douglass AD, Cohen AE (2011) Electrical spiking Escherichia coli probed with a fluorescent voltage-indicating protein. Science 333:345–348
Kralj JM, Douglass AD, Hochbaum DR, Maclaurin D, Cohen AE (2012) Optical recording of action potentials in mammalian neurons using a microbial rhodopsin. Nat Methods 9:90–95
Liberman MC, Gao J, He DZ, Wu X, Jia S, Zuo J (2002) Prestin is required for electromotility of the outer hair cell and for the cochlear amplifier. Nature 419:300–304
Mosbacher J, Langer M, Horber JKH, Sachs F (1999) Voltage-dependent membrane displacements measured by atomic force microscopy. J Gen Physiol 111:65–74
Mikhopadhyay P, Monicelli L, Tieleman P (2004) Molecular dynamics simulation of a palmitoyl-oleoyl phosphatidylserine bilayer with Na+ counterions and NaCl. Biophys J 86:1601–1609
Mio K, Kubo Y, Ogura T, Yamamoto T, Arisaka F, Sato C (2008) The motor protein prestin is a bullet-shaped molecule with inner cavities. J Biol Chem 283:1137–1145
Muallem D, Ashmore J (2006) An anion antiporter model of prestin, the outer hair cell motor protein. Biophys J 90:4035–4045
Nakagawa T, Oghalai JS, Saggau P, Rabbitt RD, Brownell WE (2006) Photometric recording of transmembrane potential in outer hair cells. J Neural Eng 3:79–86
Navaratnam D, Bai JP, Samaranayake H, Santos-Sacchi J (2005) N-terminal-mediated homomultimerization of prestin, the outer hair cell motor protein. Biophys J 89:3345–3352
Oliver D, He DZ, Klocker N, Ludwig J, Schulte U, Waldegger S, Ruppersberg JP, Dallos P, Fakler B (2001) Inracellular anions as the voltage sensor of prestin, the outer hair cell motor protein. Science 292:2340–2443
Pandit S, Berkovitz M (2002) Molecular dynamics simulation of dipalmitoylphosphatidylserine bilayer with Na+ counterions. Biophys J 82:1818–1827
Pandit S, Bostick D, Berkovitz M (2003) Molecular dynamics simulation of a dipalmitoylphosphatidylcholine bilayer with NaCl. Biophys J 84:3743–3750
Petrov AG (1999) The lyotropic state of matter: molecular physics and living matter physics. Gordon & Breach Science Publishers, Sydney
Rybalchenko V, Santos-Sacchi J (2003) Cl− flux through a non-selective, stretch-sensitive conductance influences the outer hair cell motor of the guinea pig. J Physiol (London) 547:873–891
Santos-Sacchi J, Dilger JP (1988) Whole cell currents and mechanical response of isolated outer hair cell. Hear Res 35:143–150
Schaechinger TJ, Oliver D (2007) Nonmammalian orthologs of prestin (SLC26A5) are electrogenic divalent/chloride anion exchangers. Proc Natl Acad Sci USA 104:7693–7696
Silver BL (1985) The physical chemistry of membranes. The Solomon Press, New York
Song L, Santos-Sacchi J (2010) Conformational state-dependent anion binding in prestin: evidence for allosteric modulation. Biophys J 98:371–376
Song L, Santos-Sacchi J (2011) Chloride dependent coupling of molecular to cellular mechanics in the outer hair cell of Corti’s organ. In: Shera CA, Olson ES (eds) What fire is in mine ears: progress in auditory biomechanics. American Institute of Physics, Melville, pp 179–184
Spector AA, Brownell WE, Popel AS (1999) Mechanical and electromotile characteristics of auditory outer hair cells. Med Biol Eng Comput 37:247–251
Sun SX, Farrell B, Chana MS, Oster G, Brownell WE, Spector AA (2009) Voltage and frequency dependence of prestin-associated charge transfer. J Theor Biol 260:137–144
Tofts PS, Branston NM (1991) The measurement of electric field, and the influence of surface charge, in magnetic stimulation. Electroencephalogr Clin Neurophysiol 81:238–239
Ye H, Cotic M, Fehlings MG, Carden PL (2011) Transmembrane potential generated by a magnetically induced transverse electric field in a cylindrical axonal model. Med Biol Eng Comput 49:107–119
Zheng J, Shen W, He DZ, Long KB, Madison LD, Dallos P (2000) Prestin is the motor protein of cochlear outer hair cells. Nature 405:149–155
Acknowledgments
This work was supported by research Grant R01 DC 000354 from National Institute of Deafness and Other Communication Disorders (NIH).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Harland, B., Lee, Wh., Brownell, W.E. et al. The potential and electric field in the cochlear outer hair cell membrane. Med Biol Eng Comput 53, 405–413 (2015). https://doi.org/10.1007/s11517-015-1248-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11517-015-1248-0