Key Points
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In the CNS, the postsynaptic response to an action potential is variable: neurotransmitter release is probabilistic and the postsynaptic response to neurotransmitter release has variable timing and amplitude.
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Synaptic transmission results from a sequence of reactive and diffusive molecular processes (such as conformational changes, binding events and diffusion) that display stochastic properties at the molecular scale.
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At individual synapses, the number of molecules of a given type is small and the stochastic properties of molecular events cannot be neglected. These stochastic properties underlie the variability of the postsynaptic response evoked by an action potential.
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The stochasticity of presynaptic molecular processes affects the probability of vesicular release, and the stochasticity of postsynaptic molecular processes accounts for the variability in timing and amplitude of the evoked postsynaptic potential.
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The stochasticity of molecular events seems to be in contradiction with the reliability of synaptic transmission, which raises the issues of robustness and sensitivity in the process. Building an integrated view of how the stochasticity of molecular processes contributes to the variability of synaptic transmission but is nevertheless also compatible with a reliable transmission, is a challenge. A key element is that the steps of synaptic transmission are temporally coupled to each other in cascade.
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The characteristics of the coupling between steps are likely to reduce the propagation of fluctuations and/or enhance the sensitivity of the system (the ability to distinguish signal from random fluctuations). These characteristics probably include temporal organization of signalling, spatial organization of molecules, cooperativity and stochastic resonance.
Abstract
The variability of the postsynaptic response following a single action potential arises from two sources: the neurotransmitter release is probabilistic, and the postsynaptic response to neurotransmitter release has variable timing and amplitude. At individual synapses, the number of molecules of a given type that are involved in these processes is small enough that the stochastic (random) properties of molecular events cannot be neglected. How the stochasticity of molecular processes contributes to the variability of synaptic transmission, its sensitivity and its robustness to molecular fluctuations has important implications for our understanding of the mechanistic basis of synaptic transmission and of synaptic plasticity.
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References
Hessler, N. A., Shirke, A. M. & Malinow, R. The probability of transmitter release at a mammalian central synapse. Nature 366, 569–572 (1993).
Murthy, V. N., Sejnowski, T. J. & Stevens, C. F. Heterogeneous release properties of visualized individual hippocampal synapses. Neuron 18, 599–612 (1997).
del Castillo, J. & Katz, B. Quantal components of the end-plate potential. J. Physiol. 124, 560–573 (1954). The first description of the quantal basis of synaptic transmission at the neuromuscular junction from the analysis of spontaneous synaptic potentials.
Auger, C. & Marty, A. Quantal currents at single-site central synapses. J. Physiol. 526, 3–11 (2000).
Branco, T. & Staras, K. The probability of neurotransmitter release: variability and feedback control at single synapses. Nature Rev. Neurosci. 10, 373–383 (2009).
Hanse, E. & Gustafsson, B. Quantal variability at glutamatergic synapses in area CA1 of the rat neonatal hippocampus. J. Physiol. 531, 467–480 (2001). A careful analysis of the variability of postsynaptic potentials evoked by presynaptic stimulations at single synapses.
Faisal, A. A., Selen, L. P. J. & Wolpert, D. M. Noise in the nervous system. Nature Rev. Neurosci. 9, 292–303 (2008).
Magee, J. C. Dendritic integration of excitatory synaptic input. Nature Rev. Neurosci. 1, 181–190 (2000).
Carr, C. E. & MacLeod, K. M. Microseconds matter. PLoS Biol. 8, e1000405 (2010).
Jia, H., Rochefort, N. L., Chen, X. & Konnerth, A. Dendritic organization of sensory input to cortical neurons in vivo. Nature 464, 1307–1312 (2010).
Lisman, J. E., Raghavachari, S. & Tsien, R. W. The sequence of events that underlie quantal transmission at central glutamatergic synapses. Nature Rev. Neurosci. 8, 597–609 (2007). A review of the different steps of synaptic transmission and the coupling between these steps.
McQuarrie, D. A. Stochastic approach to chemical kinetics. J. Appl. Probab. 4, 413–478 (1967).
Gillespie, D. T. Stochastic simulation of chemical kinetics. Annu. Rev. Phys. Chem. 58, 35–55 (2007). A review of stochastic descriptions of chemical kinetics: theory and simulations.
Wilkinson, D. J. Stochastic modelling for quantitative description of heterogeneous biological systems. Nature Rev. Genet. 10, 122–133 (2009).
Peters, A., Palay, S. & Webster, H. The Fine Structure of the Nervous System. (Saunders, Philadelphia, 1976).
Siksou, L. et al. Three-dimensional architecture of presynaptic terminal cytomatrix. J. Neurosci. 27, 6868–6877 (2007).
Korn, H. & Faber, D. S. Quantal analysis and synaptic efficacy in the CNS. Trends Neurosci. 14, 439–445 (1991).
Katz, B. Neural transmitter release: from quantal secretion to exocytosis and beyond. The Fenn Lecture. J. Neurocytol. 32, 437–446 (2003).
Heuser, J. E. et al. Synaptic vesicle exocytosis captured by quick freezing and correlated with quantal transmitter release. J. Cell Biol. 81, 275–300 (1979).
Auger, C., Kondo, S. & Marty, A. Multivesicular release at single functional synaptic sites in cerebellar stellate and basket cells. J. Neurosci. 18, 4532–4547 (1998).
Ward, B. et al. State-dependent mechanisms of LTP expression revealed by optical quantal analysis. Neuron 52, 649–661 (2006).
Branco, T., Staras, K., Darcy, K. J. & Goda, Y. Local dendritic activity sets release probability at hippocampal synapses. Neuron 59, 475–485 (2008). Measurements of release probability at single synaptic boutons, and correlations of these probabilities with synapse locations and with neuronal activity.
Bekkers, J. M., Richerson, G. B. & Stevens, C. F. Origin of variability in quantal size in cultured hippocampal neurons and hippocampal slices. Proc. Natl Acad. Sci. USA 87, 5359–5362 (1990).
Liu, G. & Tsien, R. W. Properties of synaptic transmission at single hippocampal synaptic boutons. Nature 375, 404–408 (1995).
McAllister, A. K. & Stevens, C. F. Nonsaturation of AMPA and NMDA receptors at hippocampal synapses. Proc. Natl Acad. Sci. USA 97, 6173–6178 (2000).
Silver, R. A., Cull-Candy, S. G. & Takahashi, T. Non-NMDA glutamate receptor occupancy and open probability at a rat cerebellar synapse with single and multiple release sites. J. Physiol. 494, 231–250 (1996).
Geiger, J. R. & Jonas, P. Dynamic control of presynaptic Ca2+ inflow by fast-inactivating K+ channels in hippocampal mossy fiber boutons. Neuron 28, 927–939 (2000).
Frey, E. & Kroy, K. Brownian motion: a paradigm of soft matter and biological physics. Ann. Phys. 14, 20–50 (2005).
Triller, A. & Choquet, D. New concepts in synaptic biology derived from single-molecule imaging. Neuron 59, 359–374 (2008). A review about the motion of proteins probed by single molecule imaging, and of the resulting conceptual advances in the description of dynamic macromolecular assemblies, such as synapses.
Takamori, S. et al. Molecular anatomy of a trafficking organelle. Cell 127, 831–846 (2006).
Sheng, M. & Hoogenraad, C. C. The postsynaptic architecture of excitatory synapses: a more quantitative view. Annu. Rev. Biochem. 76, 823–847 (2007).
Nusser, Z. et al. Cell type and pathway dependence of synaptic AMPA receptor number and variability in the hippocampus. Neuron 21, 545–559 (1998).
Racca, C., Stephenson, F. A., Streit, P., Roberts, J. D. & Somogyi, P. NMDA receptor content of synapses in stratum radiatum of the hippocampal CA1 area. J. Neurosci. 20, 2512–2522 (2000).
Nimchinsky, E. A., Yasuda, R., Oertner, T. G. & Svoboda, K. The number of glutamate receptors opened by synaptic stimulation in single hippocampal spines. J. Neurosci. 24, 2054–2064 (2004).
Nusser, Z., Cull-Candy, S. & Farrant, M. Differences in synaptic GABAA receptor number underlie variation in GABA mini amplitude. Neuron 19, 697–709 (1997).
Hagiwara, A., Fukazawa, Y., Deguchi-Tawarada, M., Ohtsuka, T. & Shigemoto, R. Differential distribution of release-related proteins in the hippocampal CA3 area as revealed by freeze-fracture replica labeling. J. Comp. Neurol. 489, 195–216 (2005).
White, J. A., Rubinstein, J. T. & Kay, A. R. Channel noise in neurons. Trends Neurosci. 23, 131–137 (2000).
Bhalla, U. S. Signaling in small subcellular volumes. I. Stochastic and diffusion effects on individual pathways. Biophys. J. 87, 733–744 (2004).
Shahrezaei, V. & Swain, P. S. The stochastic nature of biochemical networks. Curr. Opin. Biotechnol. 19, 369–374 (2008).
Bennett, M. R., Gibson, W. G. & Robinson, J. Probabilistic secretion of quanta and the synaptosecretosome hypothesis: evoked release at active zones of varicosities, boutons, and endplates. Biophys. J. 73, 1815–1829 (1997).
Dahan, M. et al. Diffusion dynamics of glycine receptors revealed by single-quantum dot tracking. Science 302, 442–445 (2003).
Choquet, D. & Triller, A. The role of receptor diffusion in the organization of the postsynaptic membrane. Nature Rev. Neurosci. 4, 251–265 (2003).
Frenguelli, B. G. & Malinow, R. Fluctuations in intracellular calcium responses to action potentials in single en passage presynaptic boutons of layer V neurons in neocortical slices. Learn. Mem. 3, 150–159 (1996).
McGuinness, L. et al. Presynaptic NMDARs in the hippocampus facilitate transmitter release at theta frequency. Neuron 68, 1109–1127 (2010).
Delcour, A. H., Lipscombe, D. & Tsien, R. W. Multiple modes of N-type calcium channel activity distinguished by differences in gating kinetics. J. Neurosci. 13, 181–194 (1993).
Wang, S.-Q., Song, L.-S., Lakatta, E. G. & Cheng, H. Ca2+ signalling between single L-type Ca2+ channels and ryanodine receptors in heart cells. Nature 410, 592–596 (2001).
Zou, H., Lifshitz, L. M., Tuft, R. A., Fogarty, K. E. & Singer, J. J. Visualization of Ca2+ entry through single stretch-activated cation channels. Proc. Natl Acad. Sci. USA 99, 6404–6409 (2002).
Zou, H., Lifshitz, L. M., Tuft, R. A., Fogarty, K. E. & Singer, J. J. Imaging calcium entering the cytosol through a single opening of plasma membrane ion channels: SCCaFTs - fundamental calcium events. Cell Calcium 35, 523–533 (2004).
Demuro, A. & Parker, I. Imaging single-channel calcium microdomains. Cell Calcium 40, 413–422 (2006).
Bennett, M. R., Farnell, L. & Gibson, W. G. The probability of quantal secretion near a single calcium channel of an active zone. Biophys. J. 78, 2201–2221 (2000). Detailed simulations of the stochastic dynamics of calcium channels and calcium ions, and their impact on the probability of exocytosis.
Bucurenciu, I., Bischofberger, J. & Jonas, P. A small number of open Ca2+ channels trigger transmitter release at a central GABAergic synapse. Nature Neurosci. 13, 19–21 (2010).
Li, L., Bischofberger, J. & Jonas, P. Differential gating and recruitment of P/Q-, N-, and R-Type Ca2+ channels in hippocampal mossy fiber boutons. J. Neurosci. 27, 13420–13429 (2007).
Burnashev, N. & Rozov, A. Presynaptic Ca2+ dynamics, Ca2+ buffers and synaptic efficacy. Cell Calcium 37, 489–495 (2005).
Augustine, G. J., Santamaria, F. & Tanaka, K. Local Calcium signaling in neurons. Neuron 40, 331–346 (2003).
Schneggenburger, R. & Neher, E. Presynaptic calcium and control of vesicle fusion. Curr. Opin. Neurobiol. 15, 266–274 (2005).
Neher, E. & Sakaba, T. Multiple roles of calcium ions in the regulation of neurotransmitter release. Neuron 59, 861–872 (2008).
Chad, J. E. & Eckert, R. Calcium domains associated with individual channels can account for anomalous voltage relations of CA-dependent responses. Biophys. J. 45, 993–999 (1984).
Simon, S. M. & Llinás, R. R. Compartmentalization of the submembrane calcium activity during calcium influx and its significance in transmitter release. Biophys. J. 48, 485–498 (1985).
Forti, L., Pouzat, C. & Llano, I. Action potential-evoked Ca2+ signals and calcium channels in axons of developing rat cerebellar interneurones. J. Physiol. 527, 33–48 (2000).
Shahrezaei, V. & Delaney, K. R. Consequences of molecular-level Ca2+ channel and synaptic vesicle colocalization for the Ca2+ microdomain and neurotransmitter exocytosis: a monte carlo study. Biophys. J. 87, 2352–2364 (2004).
Wadel, K., Neher, E. & Sakaba, T. The coupling between synaptic vesicles and Ca2+ channels determines fast neurotransmitter release. Neuron 53, 563–575 (2007).
Becherer, U., Moser, T., Stuhmer, W. & Oheim, M. Calcium regulates exocytosis at the level of single vesicles. Nature Neurosci. 6, 846–853 (2003).
Harms, G. S., Cognet, L., Lommerse, P. H. M., Blab, G. A. & Schmidt, T. Autofluorescent proteins in single-molecule research: applications to live cell. imaging microscopy. Biophys. J. 80, 2396–2408 (2001).
Kaeser, P. S. et al. RIM proteins tether Ca2+ channels to presynaptic active zones via a direct PDZ-domain interaction. Cell 144, 282–295 (2011).
Chapman, E. R. How does synaptotagmin trigger neurotransmitter release? Annu. Rev. Biochem. 77, 615–641 (2008).
Jahn, R. & Scheller, R. H. SNAREs-engines for membrane fusion. Nature Rev. Mol. Cell Biol. 7, 631–643 (2006).
Jackson, M. B. & Chapman, E. R. Fusion pores and fusion machines in Ca2+-triggered exocytosis. Annu. Rev. Biophys. Biomol. Struct. 35, 135–160 (2006).
Südhof, T. C. & Rothman, J. E. Membrane fusion: grappling with SNARE and SM proteins. Science 323, 474–477 (2009).
Jackson, M. B. & Chapman, E. R. The fusion pores of Ca2+-triggered exocytosis. Nature Struct. Mol. Biol. 15, 684–689 (2008).
Karunanithi, S., Marin, L., Wong, K. & Atwood, H. L. Quantal Size and Variation Determined by vesicle size in normal and mutant drosophila glutamatergic synapses. J. Neurosci. 22, 10267–10276 (2002).
Wu, X.-S. et al. The origin of quantal size variation: vesicular glutamate concentration plays a significant role. J. Neurosci. 27, 3046–3056 (2007).
Edwards, R. H. The neurotransmitter cycle and quantal size. Neuron 55, 835–858 (2007).
Budzinski, K. L. et al. Large structural change in isolated synaptic vesicles upon loading with neurotransmitter. Biophys. J. 97, 2577–2584 (2009).
Liu, G., Choi, S. & Tsien, R. W. Variability of neurotransmitter concentration and nonsaturation of postsynaptic AMPA receptors at synapses in hippocampal cultures and slices. Neuron 22, 395–409 (1999).
Hajos, N., Nusser, Z., Rancz, E. A., Freund, T. F. & Mody, I. Cell type- and synapse-specific variability in synaptic GABAA receptor occupancy. Eur. J. Neurosci. 12, 810–818 (2000).
He, L. & Wu, L.-G. The debate on the kiss-and-run fusion at synapses. Trends Neurosci. 30, 447–455 (2007).
Zhang, Q., Li, Y. & Tsien, R. W. The dynamic control of kiss-and-run and vesicular reuse probed with single nanoparticles. Science 323, 1448–1453 (2009).
Franks, K. M., Stevens, C. F. & Sejnowski, T. J. Independent sources of quantal variability at single glutamatergic synapses. J. Neurosci. 23, 3186–3195 (2003).
Barbour, B. An Evaluation of synapse independence. J. Neurosci. 21, 7969–7984 (2001).
Scimemi, A. & Beato, M. Determining the neurotransmitter concentration profile at active synapses. Mol. Neurobiol. 40, 289–306 (2009).
Nusser, Z., Naylor, D. & Mody, I. Synapse-specific contribution of the variation of transmitter concentration to the decay of inhibitory postsynaptic currents. Biophys. J. 80, 1251–1261 (2001).
Nielsen, T. A., DiGregorio, D. A. & Silver, R. A. Modulation of glutamate mobility reveals the mechanism underlying slow-rising AMPAR EPSCs and the diffusion coefficient in the synaptic cleft. Neuron 42, 757–771 (2004).
Min., M. Y., Rusakov, D. A. & Kullmann, D. M. Activation of AMPA, kainate, and metabotropic receptors at hippocampal mossy fiber synapses: role of glutamate diffusion. Neuron 21, 561–570 (1998).
Kullmann, D. M., Min., M. Y., Asztely, F. & Rusakov, D. A. Extracellular glutamate diffusion determines the occupancy of glutamate receptors at CA1 synapses in the hippocampus. Phil. Trans. R. Soc. Lond. B 354, 395–402 (1999).
Szapiro, G. & Barbour, B. Multiple climbing fibers signal to molecular layer interneurons exclusively via glutamate spillover. Nature Neurosci. 10, 735–742 (2007).
Sylantyev, S. et al. Electric fields due to synaptic currents sharpen excitatory transmission. Science 319, 1845–1849 (2008).
Katz, B. & Miledi, R. The statistical nature of the acetylcholine potential and its molecular components. J. Physiol. 224, 665–699 (1972).
Traynelis, S. F. & Jaramillo, F. Getting the most out of noise in the central nervous system. Trends Neurosci. 21, 137–145 (1998).
Neher, E. & Sakmann, B. Single-channel currents recorded from membrane of denervated frog muscle fibres. Nature 260, 799–802 (1976).
Colquhoun, D. & Sakmann, B. Fast events in single-channel currents activated by acetylcholine and its analogues at the frog muscle end-plate. J. Physiol. 369, 501–557 (1985).
Hallermann, S., Heckmann, S., Dudel, J. & Heckmann, M. Short openings in high resolution single channel recordings of mouse nicotinic receptors. J. Physiol. 563, 645–662 (2005).
Sakmann, B. & Neher, E. Single-Channel Recording (Springer, New York, 2009).
Monod, J., Wyman, J. & Changeux, J. P. On the nature of allosteric transitions: a plausible model. J. Mol. Biol. 12, 88–118 (1965).
Changeux, J. P. & Edelstein, S. J. On allosteric mechanisms and acetylcholine receptors. Trends Biochem. Sci. 19, 399–400 (1994).
Edelstein, S. J., Schaad, O., Henry, E., Bertrand, D. & Changeux, J. P. A kinetic mechanism for nicotinic acetylcholine receptors based on multiple allosteric transitions. Biol. Cybern. 75, 361–379 (1996).
Karpen, J. W. & Ruiz, M. Ion channels: does each subunit do something on its own? Trends Biochem. Sci. 27, 402–409 (2002).
Edelstein, S. J. & Changeux, J.-P. Relationships between structural dynamics and functional kinetics in oligomeric membrane receptors. Biophys. J. 98, 2045–2052 (2010).
Sine, S. M. & Engel, A. G. Recent advances in Cys-loop receptor structure and function. Nature 440, 448–455 (2006).
Mukhtasimova, N., Lee, W. Y., Wang, H.-L. & Sine, S. M. Detection and trapping of intermediate states priming nicotinic receptor channel opening. Nature 459, 451–454 (2009).
Burzomato, V., Beato, M., Groot-Kormelink, P. J., Colquhoun, D. & Sivilotti, L. G. Single-channel behavior of heteromeric α1β glycine receptors: an attempt to detect a conformational change before the channel opens. J. Neurosci. 24, 10924–10940 (2004).
Faber, D. S., Young, W. S., Legendre, P. & Korn, H. Intrinsic quantal variability due to stochastic properties of receptor-transmitter interactions. Science 258, 1494–1498 (1992).
Trommershäuser, J., Marienhagen, J. & Zippelius, A. Stochastic model of central synapses: slow diffusion of transmitter interacting with spatially distributed receptors and transporters. J. Theor. Biol. 198, 101–120 (1999).
Franks, K. M., Bartol, T. M. & Sejnowski, T. J. A Monte Carlo model reveals independent signaling at central glutamatergic synapses. Biophys. J. 83, 2333–2348 (2002).
Raghavachari, S. & Lisman, J. E. Properties of Quantal Transmission at CA1 Synapses. J. Neurophysiol. 92, 2456–2467 (2004).
Triller, A. & Choquet, D. Surface trafficking of receptors between synaptic and extrasynaptic membranes: and yet they do move! Trends Neurosci. 28, 133–139 (2005).
Kusumi, A. et al. Paradigm shift of the plasma membrane concept from the two-dimensional continuum fluid to the partitioned fluid: high-speed single-molecule tracking of membrane molecules. Annu. Rev. Biophys. Biomol. Struct. 34, 351–378 (2005).
Jacob, T. C. et al. Gephyrin regulates the cell surface dynamics of synaptic GABAA receptors. J. Neurosci. 25, 10469–10478 (2005).
Ehrensperger, M.-V., Hanus, C., Vannier, C., Triller, A. & Dahan, M. Multiple Association states between glycine receptors and gephyrin identified by SPT analysis. Biophys. J. 92, 3706–3718 (2007).
Charrier, C., Ehrensperger, M.-V., Dahan, M., Levi, S. & Triller, A. Cytoskeleton regulation of glycine receptor number at synapses and diffusion in the plasma membrane. J. Neurosci. 26, 8502–8511 (2006).
Lévi, S. et al. Homeostatic regulation of synaptic GlyR numbers driven by lateral diffusion. Neuron 59, 261–273 (2008).
Bannai, H. et al. Activity-dependent tuning of inhibitory neurotransmission based on GABAAR diffusion dynamics. Neuron 62, 670–682 (2009).
Heine, M. et al. Surface mobility of postsynaptic AMPARs tunes synaptic transmission. Science 320, 201–205 (2008). This work shows how the exchange between desensitized neurotransmitter receptors and naive functional receptors by lateral diffusion contributes to the recovery from synaptic depression.
Lisman, J., Schulman, H. & Cline, H. The molecular basis of CaMKII function in synaptic and behavioural memory. Nature Rev. Neurosci. 3, 175–190 (2002).
Miller, P., Zhabotinsky, A. M., Lisman, J. E. & Wang, X.-J. The stability of a stochastic CaMKII switch: dependence on the number of enzyme molecules and protein turnover. PLoS Biol. 3, e107 (2005).
Zeng, S. & Holmes, W. R. The effect of noise on CaMKII activation in a dendritic spine during LTP induction. J. Neurophysiol. 103, 1798–1808 (2010).
Bhalla, U. S. Signaling in small subcellular volumes. II. Stochastic and diffusion effects on synaptic network properties. Biophys. J. 87, 745–753 (2004).
Kitano, H. Biological robustness. Nature Rev. Genet. 5, 826–837 (2004).
Barkai, N. & Shilo, B.-Z. Variability and robustness in biomolecular systems. Mol. Cell 28, 755–760 (2007).
Barkai, N. & Leibler, S. Robustness in simple biochemical networks. Nature 387, 913–917 (1997).
Stelling, J., Sauer, U., Szallasi, Z., Doyle, F. J. & Doyle, J. Robustness of cellular functions. Cell 118, 675–685 (2004).
Bialek, W. & Setayeshgar, S. Cooperativity, sensitivity, and noise in biochemical signaling. Phys. Rev. Lett. 100, 258101 (2008).
Swain, P. S. & Longtin, A. Noise in genetic and neural networks. Chaos 16, 026101 (2006).
Levine, E. & Hwa, T. Stochastic fluctuations in metabolic pathways. Proc. Natl Acad. Sci. USA 104, 9224–9229 (2007).
Hooshangi, S., Thiberge, S. & Weiss, R. Ultrasensitivity and noise propagation in a synthetic transcriptional cascade. Proc. Natl Acad. Sci. USA 102, 3581–3586 (2005).
Thattai, M. & van Oudenaarden, A. Attenuation of noise in ultrasensitive signaling cascades. Biophys. J. 82, 2943–2950 (2002).
Paulsson, J. Summing up the noise in gene networks. Nature 427, 415–418 (2004). A theoretical model describing how fluctuations in a sequence of coupled events propagate from one event to its downstream event, using gene expression as an example.
Pedraza, J. M. & van Oudenaarden, A. Noise propagation in gene networks. Science 307, 1965–1969 (2005).
Zheng, X. & Tao, Y. Additivity of noise propagation in a protein cascade. J. Chem. Phys. 128, 165104 (2008).
Kholodenko, B. Cell-signalling dynamics in time and space. Nature Rev. Mol. Cell Biol. 7, 165–176 (2006).
Bucurenciu, I., Kulik, A., Schwaller, B., Frotscher, M. & Jonas, P. Nanodomain coupling between Ca2+ channels and Ca2+ sensors promotes fast and efficient transmitter release at a cortical GABAergic synapse. Neuron 57, 536–545 (2008).
Young, S. M. & Neher, E. Synaptotagmin has an essential function in synaptic vesicle positioning for synchronous release in addition to its role as a calcium sensor. Neuron 63, 482–496 (2009).
Meinrenken, C. J., Borst, J. G. G. & Sakmann, B. Calcium Secretion coupling at calyx of held governed by nonuniform channel-vesicle topography. J. Neurosci. 22, 1648–1667 (2002).
Calamai, M. et al. Gephyrin oligomerization controls GlyR mobility and synaptic clustering. J. Neurosci. 29, 7639–7648 (2009).
Bloodgood, B. L. & Sabatini, B. L. Neuronal activity regulates diffusion across the neck of dendritic spines. Science 310, 866–869 (2005).
Ashby, M. C., Maier, S. R., Nishimune, A. & Henley, J. M. Lateral diffusion drives constitutive exchange of AMPA receptors at dendritic spines and is regulated by spine morphology. J. Neurosci. 26, 7046–7055 (2006).
Holcman, D. & Triller, A. Modeling synaptic dynamics driven by receptor lateral diffusion. Biophys. J. 91, 2405–2415 (2006).
Rosenmund, C., Stern-Bach, Y. & Stevens, C. F. The tetrameric structure of a glutamate receptor channel. Science 280, 1596–1599 (1998).
Clements, J. D., Feltz, A., Sahara, Y. & Westbrook, G. L. Activation kinetics of AMPA receptor channels reveal the number of functional agonist binding sites. J. Neurosci. 18, 119–127 (1998).
Kertz, J. A., Almeida, P. F. F., Frazier, A. A., Berg, A. K. & Hinderliter, A. The cooperative response of synaptotagmin I C2A. A hypothesis for a Ca2+-driven molecular hammer. Biophys. J. 92, 1409–1418 (2007).
Herrick, D. Z., Sterbling, S., Rasch, K. A., Hinderliter, A. & Cafiso, D. S. Position of synaptotagmin I at the membrane interface: cooperative interactions of tandem C2 domains. Biochemistry 45, 9668–9674 (2006).
Wiesenfeld, K. & Moss, F. Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs. Nature 373, 33–36 (1995).
Hänggi, P. Stochastic resonance in biology. How noise can enhance detection of weak signals and help improve biological information processing. Chemphyschem 3, 285–290 (2002).
Ho, N. & Destexhe, A. Synaptic background activity enhances the responsiveness of neocortical pyramidal neurons. J. Neurophysiol. 84, 1488–1496 (2000).
Chance, F. S., Abbott, L. F. & Reyes, A. D. Gain modulation from background synaptic input. Neuron 35, 773–782 (2002).
Kotaleski, J. H. & Blackwell, K. T. Modelling the molecular mechanisms of synaptic plasticity using systems biology approaches. Nature Rev. Neurosci. 11, 239–251 (2010).
Kaern, M., Elston, T. C., Blake, W. J. & Collins, J. J. Stochasticity in gene expression: from theories to phenotypes. Nature Rev. Genet. 6, 451–464 (2005). A review of how stochasticity in gene expression leads to variability in phenotypes for genetically identical cells. This framework could give insight into the importance of stochasticity in synaptic transmission.
Jaramillo, F. & Wiesenfeld, K. Mechanoelectrical transduction assisted by Brownian motion: a role for noise in the auditory system. Nature Neurosci. 1, 384–388 (1998).
Priplata, A. et al. Noise-enhanced human balance control. Phys. Rev. Lett. 89, 238101 (2002).
Gillespie, D. The chemical Langevin equation. J. Chem. Phys. 113, 297–306 (2000).
Sekimoto, K. Stochastic Energetics (Springer, 2010).
Schikorski, T. & Stevens, C. F. Quantitative ultrastructural analysis of hippocampal excitatory synapses. J. Neurosci. 17, 5858–5867 (1997).
Okabe, S. Molecular anatomy of the postsynaptic density. Mol. Cell. Neurosci. 34, 503–518 (2007).
Masugi-Tokita, M. & Shigemoto, R. High-resolution quantitative visualization of glutamate and GABA receptors at central synapses. Curr. Opin. Neurobiol. 17, 387–393 (2007).
Chen, X. et al. Mass of the postsynaptic density and enumeration of three key molecules. Proc. Natl Acad. Sci. USA 102, 11551–11556 (2005).
Siksou, L., Varoqueaux, F., Pascual, O., Triller, A., Brose, N. & Marty S. A common molecular basis for membrane docking and functional priming of synaptic vesicles. Eur. J. Neurosci. 30, 49–56 (2009).
Acknowledgements
The work from Triller's group has been funded by the Institut Nationale de la Santé et de la Recherche Médicale (INSERM), the Agence Nationale de la Recherche (ANR) and the Fondation pour la Recherche Médicale (FRM). We thank B. Barbour and S. Edelstein for critical reading and advice.
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- Stochastic
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A characteristic of a process that is determined by one or more random elements and the proces's statistical properties. Here, stochastic and probabilistic have similar meanings, but we use stochastic for molecular processes and probabilistic for integrated processes.
- Synaptic complex
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A synaptic complex consists of the apposition of a presynaptic active zone with synaptic vesicles and a postsynaptic differentiation characterized by electron-dense material.
- SNARE
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Soluble NSF (N-ethylmaleimide-sensitive factor) attachment protein (SNAP) receptor.
- Active zone
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The membrane and submembrane presynaptic region where vesicles are docked and can fuse. This region is about 300nm in diameter.
- Release probability
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At a synapse, an action potential will trigger vesicle exocytosis with a certain probability. This is called release probability and it varies across synapses and can be modulated by dendritic activity.
- Synaptic bouton
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Enlargement of the axon, which frequently contains a single active zone and establishes a synaptic contact with a postsynaptic target .
- Coefficient of variation
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The standard deviation divided by the mean. It gives an estimation of the relative variability of a quantity. A value of 1 is considered large as it means that the standard deviation is equal to 100% of the mean value.
- Deterministic
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The characteristic of a process whose behaviour is described as a function of variables that take unique and non-variable values at each time point in the process. The behaviour of the process is therefore entirely predictable and determined by equations and starting conditions.
- Brownian motion
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A random (stochastic) motion, in which the displacement of a particle during a time t follows a probability distribution. Brownian motion is characterized by a diffusion coefficient. Molecules in fluids (for example, cytoplasm and lipid membrane) undergo Brownian motion.
- Diffusion coefficient
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A parameter characterizing the speed of diffusing molecules. For a brownian mothion in two dimensions, it is the proportionality constant between the explored space and time (for example, measured in μ m2 per s).
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Ribrault, C., Sekimoto, K. & Triller, A. From the stochasticity of molecular processes to the variability of synaptic transmission. Nat Rev Neurosci 12, 375–387 (2011). https://doi.org/10.1038/nrn3025
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DOI: https://doi.org/10.1038/nrn3025
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