Transduction channels’ gating can control friction on vibrating hair-cell bundles in the ear

Significance In this work, we developed a dynamic force assay to characterize frictional forces that impede sound-evoked vibrations of hair-cell bundles, the mechanosensory antennas of the inner ear. We find that opening and closing of mechanosensitive ion channels in the hair bundle produce frictional forces that can dominate viscous drag on the hair-bundle structure. We show that channel friction can be understood quantitatively using a physical theory of hair-bundle mechanics that includes channel kinetics. Friction originating from gating of ion channels is a concept that is relevant to all mechanosensitive channels. In the context of hearing, this channel friction may contribute to setting the characteristic frequency of the hair cell. Hearing starts when sound-evoked mechanical vibrations of the hair-cell bundle activate mechanosensitive ion channels, giving birth to an electrical signal. As for any mechanical system, friction impedes movements of the hair bundle and thus constrains the sensitivity and frequency selectivity of auditory transduction. Friction is generally thought to result mainly from viscous drag by the surrounding fluid. We demonstrate here that the opening and closing of the transduction channels produce internal frictional forces that can dominate viscous drag on the micrometer-sized hair bundle. We characterized friction by analyzing hysteresis in the force–displacement relation of single hair-cell bundles in response to periodic triangular stimuli. For bundle velocities high enough to outrun adaptation, we found that frictional forces were maximal within the narrow region of deflections that elicited significant channel gating, plummeted upon application of a channel blocker, and displayed a sublinear growth for increasing bundle velocity. At low velocity, the slope of the relation between the frictional force and velocity was nearly fivefold larger than the hydrodynamic friction coefficient that was measured when the transduction machinery was decoupled from bundle motion by severing tip links. A theoretical analysis reveals that channel friction arises from coupling the dynamics of the conformational change associated with channel gating to tip-link tension. Varying channel properties affects friction, with faster channels producing smaller friction. We propose that this intrinsic source of friction may contribute to the process that sets the hair cell’s characteristic frequency of responsiveness.

[1]  Andrei S Kozlov,et al.  Anomalous Brownian motion discloses viscoelasticity in the ear’s mechanoelectrical-transduction apparatus , 2012, Proceedings of the National Academy of Sciences.

[2]  Armin J. Hinterwirth,et al.  Relative stereociliary motion in a hair bundle opposes amplification at distortion frequencies , 2012, The Journal of physiology.

[3]  J. Barral,et al.  The physical basis of active mechanosensitivity by the hair-cell bundle , 2011, Current opinion in otolaryngology & head and neck surgery.

[4]  S. Diez,et al.  Adaptive braking by Ase1 prevents overlapping microtubules from sliding completely apart , 2011, Nature Cell Biology.

[5]  A. Hudspeth,et al.  Forces between clustered stereocilia minimize friction in the ear on a subnanometre scale , 2011, Nature.

[6]  P. Avan,et al.  The remarkable cochlear amplifier , 2010, Hearing Research.

[7]  Benjamin Lindner,et al.  Coupling a sensory hair-cell bundle to cyber clones enhances nonlinear amplification , 2010, Proceedings of the National Academy of Sciences.

[8]  U. Müller,et al.  Mechanotransduction by Hair Cells: Models, Molecules, and Mechanisms , 2009, Cell.

[9]  Jong-Hoon Nam,et al.  Localization of inner hair cell mechanotransducer channels using high-speed calcium imaging , 2009, Nature Neuroscience.

[10]  Jong-Hoon Nam,et al.  Theoretical conditions for high-frequency hair bundle oscillations in auditory hair cells. , 2008, Biophysical journal.

[11]  A. Hudspeth Making an Effort to Listen: Mechanical Amplification in the Ear , 2008, Neuron.

[12]  Frank Jülicher,et al.  Critical oscillators as active elements in hearing , 2008 .

[13]  Frank Jülicher,et al.  Unifying the various incarnations of active hair-bundle motility by the vertebrate hair cell. , 2007, Biophysical journal.

[14]  David A Calderwood,et al.  Forces and Bond Dynamics in Cell Adhesion , 2007, Science.

[15]  F. Jülicher,et al.  ACTIVE HAIR-BUNDLE MOTILITY HARNESSES NOISE TO OPERATE NEAR AN OPTIMUM OF MECHANOSENSITIVITY , 2006 .

[16]  Robert Fettiplace,et al.  The Transduction Channel Filter in Auditory Hair Cells , 2005, The Journal of Neuroscience.

[17]  M. G. Evans,et al.  Fast adaptation of mechanoelectrical transducer channels in mammalian cochlear hair cells , 2003, Nature Neuroscience.

[18]  A J Hudspeth,et al.  Spontaneous Oscillation by Hair Bundles of the Bullfrog's Sacculus , 2003, The Journal of Neuroscience.

[19]  A. Ricci Differences in mechano-transducer channel kinetics underlie tonotopic distribution of fast adaptation in auditory hair cells. , 2002, Journal of neurophysiology.

[20]  A J Hudspeth,et al.  Compressive nonlinearity in the hair bundle's active response to mechanical stimulation , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[21]  A J Hudspeth,et al.  Comparison of a hair bundle's spontaneous oscillations with its response to mechanical stimulation reveals the underlying active process , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[22]  A J Hudspeth,et al.  Negative hair-bundle stiffness betrays a mechanism for mechanical amplification by the hair cell. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Sietse M. van Netten,et al.  Gating energies and forces of the mammalian hair cell transducer channel and related hair bundle mechanics , 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[24]  F. Jülicher,et al.  Auditory sensitivity provided by self-tuned critical oscillations of hair cells. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[25]  A J Hudspeth,et al.  Active hair-bundle movements can amplify a hair cell's response to oscillatory mechanical stimuli. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[26]  W Hemmert,et al.  Resonant tectorial membrane motion in the inner ear: its crucial role in frequency tuning. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[27]  C. M. Jones,et al.  The role of solvent viscosity in the dynamics of protein conformational changes. , 1992, Science.

[28]  V. Bruns,et al.  Postnatal development of the rat organ of Corti , 1992, Anatomy and Embryology.

[29]  K. Sekimoto,et al.  Protein friction exerted by motor enzymes through a weak-binding interaction. , 1991, Journal of theoretical biology.

[30]  A J Hudspeth,et al.  Mechanical properties of sensory hair bundles are reflected in their Brownian motion measured with a laser differential interferometer. , 1989, Proceedings of the National Academy of Sciences of the United States of America.

[31]  A. J. Hudspeth,et al.  Compliance of the hair bundle associated with gating of mechanoelectrical transduction channels in the Bullfrog's saccular hair cell , 1988, Neuron.

[32]  D. Lim,et al.  Functional structure of the organ of Corti: a review , 1986, Hearing Research.

[33]  A J Hudspeth,et al.  The transduction channel of hair cells from the bull‐frog characterized by noise analysis. , 1986, The Journal of physiology.

[34]  D P Corey,et al.  Kinetics of the receptor current in bullfrog saccular hair cells , 1983, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[35]  P. Gennes Scaling Concepts in Polymer Physics , 1979 .

[36]  S. Kadener,et al.  Protein Friction Limits Diffusive and Directed Movements of Kinesin Motors on Microtubules , 2009 .

[37]  Pascal Martin,et al.  Active Hair-Bundle Motility of the Hair Cells of Vestibular and Auditory Organs , 2008 .

[38]  R. Fettiplace,et al.  The sensory and motor roles of auditory hair cells , 2006, Nature Reviews Neuroscience.

[39]  E. Evans Probing the relation between force--lifetime--and chemistry in single molecular bonds. , 2001, Annual review of biophysics and biomolecular structure.

[40]  P A Fuchs,et al.  Mechanisms of hair cell tuning. , 1999, Annual review of physiology.

[41]  A J Hudspeth,et al.  Gating-spring models of mechanoelectrical transduction by hair cells of the internal ear. , 1995, Annual review of biophysics and biomolecular structure.