Summing Across Different Active Zones can Explain the Quasi-Linear Ca2+-Dependencies of Exocytosis by Receptor Cells

Several recent studies of mature auditory and vestibular hair cells (HCs), and of visual and olfactory receptor cells, have observed nearly linear dependencies of the rate of neurotransmitter release events, or related measures, on the magnitude of Ca2+-entry into the cell. These relationships contrast with the highly supralinear, third to fourth power, Ca2+-dependencies observed in most preparations, from neuromuscular junctions to central synapses, and also in HCs from immature and various mutant animals. They also contrast with the intrinsic, biochemical, Ca2+-cooperativity of the ubiquitous Ca2+-sensors involved in fast exocytosis (synaptotagmins I and II). Here, we propose that the quasi-linear dependencies result from measuring the sum of several supralinear, but saturating, dependencies with different sensitivities at individual active zones of the same cell. We show that published experimental data can be accurately accounted for by this summation model, without the need to assume altered Ca2+-cooperativity or nanodomain control of release. We provide support for the proposal that the best power is 3, and we discuss the large body of evidence for our summation model. Overall, our idea provides a parsimonious and attractive reconciliation of the seemingly discrepant experimental findings in different preparations.

[1]  F. Wolf,et al.  Probing the Mechanism of Exocytosis at the Hair Cell Ribbon Synapse , 2007, The Journal of Neuroscience.

[2]  J. Littleton,et al.  Is synaptotagmin the calcium sensor? , 2003, Current Opinion in Neurobiology.

[3]  G. Augustine,et al.  Local Calcium Signaling in Neurons , 2003, Neuron.

[4]  F. Dodge,et al.  Co‐operative action of calcium ions in transmitter release at the neuromuscular junction , 1967, The Journal of physiology.

[5]  P. Fuchs Time and intensity coding at the hair cell's ribbon synapse , 2005, The Journal of physiology.

[6]  A new model for the shapes of rate-level functions of auditory-nerve fibers , 2010 .

[7]  T. Südhof,et al.  Three-Dimensional Structure of the Synaptotagmin 1 C2B-Domain Synaptotagmin 1 as a Phospholipid Binding Machine , 2001, Neuron.

[8]  C D Geisler,et al.  Thresholds for primary auditory fibers using statistically defined criteria. , 1985, The Journal of the Acoustical Society of America.

[9]  Stuart L. Johnson,et al.  Functional maturation of the exocytotic machinery at gerbil hair cell ribbon synapses , 2009, The Journal of physiology.

[10]  D O Kim,et al.  A population study of cochlear nerve fibers: comparison of spatial distributions of average-rate and phase-locking measures of responses to single tones. , 1979, Journal of neurophysiology.

[11]  R. Romand Functional properties of auditory-nerve fibers during postnatal development in the kitten , 2004, Experimental Brain Research.

[12]  Stuart L. Johnson,et al.  Increase in efficiency and reduction in Ca2+ dependence of exocytosis during development of mouse inner hair cells , 2005, The Journal of physiology.

[13]  K. Rábl,et al.  A Highly Ca2+-Sensitive Pool of Vesicles Contributes to Linearity at the Rod Photoreceptor Ribbon Synapse , 2004, Neuron.

[14]  T. Parsons,et al.  Structure and Function of the Hair Cell Ribbon Synapse , 2006, The Journal of Membrane Biology.

[15]  Stuart L. Johnson,et al.  Elementary properties of CaV1.3 Ca2+ channels expressed in mouse cochlear inner hair cells , 2009, The Journal of physiology.

[16]  Tobias Moser,et al.  Hair cell ribbon synapses , 2006, Cell and Tissue Research.

[17]  W. S. Rhode,et al.  Characteristics of tone-pip response patterns in relationship to spontaneous rate in cat auditory nerve fibers , 1985, Hearing Research.

[18]  H. Bellen,et al.  Synaptotagmin I, a Ca2+ sensor for neurotransmitter release , 2003, Trends in Neurosciences.

[19]  E. M. Adler,et al.  The Calcium Signal for Transmitter Secretion from Presynaptic Nerve Terminals a , 1991, Annals of the New York Academy of Sciences.

[20]  D. Furness,et al.  Auditory Hair Cell-Afferent Fiber Synapses Are Specialized to Operate at Their Best Frequencies , 2005, Neuron.

[21]  N. Vardi,et al.  Coordinated multivesicular release at a mammalian ribbon synapse , 2004, Nature Neuroscience.

[22]  Dexter R. F. Irvine,et al.  Towards a unifying basis of auditory thresholds: Distributions of the first-spike latencies of auditory-nerve fibers , 2008, Hearing Research.

[23]  S. J. Smith,et al.  Calcium entry and transmitter release at voltage‐clamped nerve terminals of squid. , 1985, The Journal of physiology.

[24]  E. Glowatzki,et al.  Time course and calcium dependence of transmitter release at a single ribbon synapse , 2007, Proceedings of the National Academy of Sciences.

[25]  T. Moser,et al.  Few CaV1.3 Channels Regulate the Exocytosis of a Synaptic Vesicle at the Hair Cell Ribbon Synapse , 2005, The Journal of Neuroscience.

[26]  Comment on "Auditory-nerve first-spike latency and auditory absolute threshold: a computer model" [J. Acoust. Soc. Am. 119, 406-417 (2006)]. , 2006, The Journal of the Acoustical Society of America.

[27]  S. Seino,et al.  Cellular localization of synaptotagmin I, II, and III mRNAs in the central nervous system and pituitary and adrenal glands of the rat , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[28]  P. Heil,et al.  Temporal Integration of Sound Pressure Determines Thresholds of Auditory-Nerve Fibers , 2001, The Journal of Neuroscience.

[29]  Marcus Müller The cochlear place-frequency map of the adult and developing mongolian gerbil , 1996, Hearing Research.

[30]  M. Liberman Single-neuron labeling in the cat auditory nerve. , 1982, Science.

[31]  B. Edmonds,et al.  Evidence that fast exocytosis can be predominantly mediated by vesicles not docked at active zones in frog saccular hair cells , 2004, The Journal of physiology.

[32]  G. K. Yates,et al.  Auditory-nerve spontaneous rates vary predictably with threshold , 1991, Hearing Research.

[33]  Stuart L. Johnson,et al.  Synaptotagmin IV determines the linear Ca2+ dependence of vesicle fusion at auditory ribbon synapses , 2010, Nature Neuroscience.

[34]  C. Petit,et al.  Calcium- and Otoferlin-Dependent Exocytosis by Immature Outer Hair Cells , 2008, The Journal of Neuroscience.

[35]  Ian M. Winter,et al.  Diversity of characteristic frequency rate-intensity functions in guinea pig auditory nerve fibres , 1990, Hearing Research.

[36]  Y. Jan,et al.  Properties of the larval neuromuscular junction in Drosophila melanogaster. , 1976, The Journal of physiology.

[37]  Peter Heil,et al.  A unifying basis of auditory thresholds based on temporal summation , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[38]  T. Südhof,et al.  A single C2 domain from synaptotagmin I is sufficient for high affinity Ca2+/phospholipid binding. , 1993, The Journal of biological chemistry.

[39]  M. Frotscher,et al.  Nanodomain Coupling between Ca2+ Channels and Ca2+ Sensors Promotes Fast and Efficient Transmitter Release at a Cortical GABAergic Synapse , 2008, Neuron.

[40]  Eunyoung Yi,et al.  Two Modes of Release Shape the Postsynaptic Response at the Inner Hair Cell Ribbon Synapse , 2010, The Journal of Neuroscience.

[41]  E. F. Stanley The calcium channel and the organization of the presynaptic transmitter release face , 1997, Trends in Neurosciences.

[42]  C. Petit,et al.  Otoferlin Is Critical for a Highly Sensitive and Linear Calcium-Dependent Exocytosis at Vestibular Hair Cell Ribbon Synapses , 2009, The Journal of Neuroscience.

[43]  T. Südhof,et al.  C2-domains, Structure and Function of a Universal Ca2+-binding Domain* , 1998, The Journal of Biological Chemistry.

[44]  T. Südhof,et al.  Differential but convergent functions of Ca2+ binding to synaptotagmin-1 C2 domains mediate neurotransmitter release , 2009, Proceedings of the National Academy of Sciences.

[45]  A. Hudspeth,et al.  Transfer characteristics of the hair cell's afferent synapse. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[46]  Ralf Schneggenburger,et al.  Intracellular calcium dependence of transmitter release rates at a fast central synapse , 2000, Nature.

[47]  Stuart L. Johnson,et al.  Tonotopic Variation in the Calcium Dependence of Neurotransmitter Release and Vesicle Pool Replenishment at Mammalian Auditory Ribbon Synapses , 2008, The Journal of Neuroscience.

[48]  B Sakmann,et al.  Calcium sensitivity of glutamate release in a calyx-type terminal. , 2000, Science.

[49]  T. Jarsky,et al.  Nanodomain Control of Exocytosis Is Responsible for the Signaling Capability of a Retinal Ribbon Synapse , 2010, The Journal of Neuroscience.

[50]  P. Heil,et al.  Towards a Unifying Basis of Auditory Thresholds: The Effects of Hearing Loss on Temporal Integration Reconsidered , 2004, Journal of the Association for Research in Otolaryngology.

[51]  E. Neher Vesicle Pools and Ca2+ Microdomains: New Tools for Understanding Their Roles in Neurotransmitter Release , 1998, Neuron.

[52]  V. Shahrezaei,et al.  Ca2+ from One or Two Channels Controls Fusion of a Single Vesicle at the Frog Neuromuscular Junction , 2006, The Journal of Neuroscience.

[53]  T. Sudhof,et al.  The synaptic vesicle cycle. , 2004, Annual review of neuroscience.

[54]  Peter Heil,et al.  A physiological model for the stimulus dependence of first-spike latency of auditory-nerve fibers , 2008, Brain Research.

[55]  Paul A. Fuchs,et al.  Transmitter release at the hair cell ribbon synapse , 2002, Nature Neuroscience.

[56]  J. McGee,et al.  Postnatal development of auditory nerve and cochlear nucleus neuronal responses in kittens , 1987, Hearing Research.

[57]  William M. Roberts,et al.  Spatial calcium buffering in saccular hair cells , 1993, Nature.

[58]  A. Hudspeth,et al.  The Unitary Event Underlying Multiquantal EPSCs at a Hair Cell's Ribbon Synapse , 2009, The Journal of Neuroscience.

[59]  W. Stahel,et al.  Log-normal Distributions across the Sciences: Keys and Clues , 2001 .

[60]  J. Simpson THE RELEASE OF NEURAL TRANSMITTER SUBSTANCES , 1969 .

[61]  M. Liberman,et al.  Response properties of single auditory nerve fibers in the mouse. , 2005, Journal of neurophysiology.

[62]  T. Voets Dissection of Three Ca2+-Dependent Steps Leading to Secretion in Chromaffin Cells from Mouse Adrenal Slices , 2000, Neuron.

[63]  Takeshi Sakaba,et al.  Multiple Roles of Calcium Ions in the Regulation of Neurotransmitter Release , 2008, Neuron.

[64]  R. Wenthold,et al.  SNARE complex at the ribbon synapses of cochlear hair cells: analysis of synaptic vesicle‐ and synaptic membrane‐associated proteins , 1999, The European journal of neuroscience.

[65]  W. Regehr,et al.  Calcium control of transmitter release at a cerebellar synapse , 1995, Neuron.

[66]  T. Moser,et al.  The Presynaptic Function of Mouse Cochlear Inner Hair Cells during Development of Hearing , 2001, The Journal of Neuroscience.

[67]  B. Sakmann,et al.  Calcium influx and transmitter release in a fast CNS synapse , 1996, Nature.

[68]  H. Versnel,et al.  Single-fibre and whole-nerve responses to clicks as a function of sound intensity in the guinea pig , 1992, Hearing Research.

[69]  Thomas Voets,et al.  Calcium Dependence of Exocytosis and Endocytosis at the Cochlear Inner Hair Cell Afferent Synapse , 2001, Neuron.

[70]  I. Gemp,et al.  Quantitative analysis of synaptic release at the photoreceptor synapse. , 2010, Biophysical journal.

[71]  Alexander Joseph Book reviewDischarge patterns of single fibers in the cat's auditory nerve: Nelson Yuan-Sheng Kiang, with the assistance of Takeshi Watanabe, Eleanor C. Thomas and Louise F. Clark: Research Monograph no. 35. Cambridge, Mass., The M.I.T. Press, 1965 , 1967 .

[72]  Roberto Maass-Moreno,et al.  Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting.ByHarvey Motulskyand, Arthur Christopoulos.Oxford and New York: Oxford University Press. $65.00 (hardcover); $29.95 (paper). 351 p; ill.; index. ISBN: 0–19–517179–9 (hc); 0–19–517180–2 (pb). 2 , 2005 .

[73]  Ray Meddis,et al.  Auditory-nerve first-spike latency and auditory absolute threshold: a computer model. , 2006, The Journal of the Acoustical Society of America.

[74]  Alexander Egner,et al.  Tuning of synapse number, structure and function in the cochlea , 2009, Nature Neuroscience.

[75]  T. Südhof Synaptotagmins: Why So Many?* , 2002, The Journal of Biological Chemistry.

[76]  Tobias Moser,et al.  Mechanisms contributing to synaptic Ca2+ signals and their heterogeneity in hair cells , 2009, Proceedings of the National Academy of Sciences.

[77]  H. V. Gersdorff,et al.  Dynamics of synaptic vesicle fusion and membrane retrieval in synaptic terminals , 1994, Nature.

[78]  T. Südhof,et al.  C 2-domains , Structure and Function of a Universal Ca 2 1-binding Domain * , 1998 .

[79]  P. Jonas,et al.  A small number of open Ca2+ channels trigger transmitter release at a central GABAergic synapse , 2010, Nature Neuroscience.

[80]  T. Südhof,et al.  Synaptotagmins form a hierarchy of exocytotic Ca2+ sensors with distinct Ca2+ affinities , 2002, The EMBO journal.

[81]  T. Südhof,et al.  Ca2+ binding to synaptotagmin: how many Ca2+ ions bind to the tip of a C2‐domain? , 1998, The EMBO journal.

[82]  P. Fuchs,et al.  Hair cell afferent synapses , 2008, Current Opinion in Neurobiology.

[83]  M. Liberman,et al.  Afferent and efferent innervation of the cat cochlea: Quantitative analysis with light and electron microscopy , 1990, The Journal of comparative neurology.