Difference between revisions of "Draft:Two Forms of Electrical Transmission Between Neurons"

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[[File:Ephaptic 3.jpeg|center|frame|'''Figure 3:''' Synaptic communication mediated by gap junctions. '''(A)''' Gap junctions (Gap junction plaque) are groups of intercellular channels that provide a pathway of low resistance for the spread of electrical currents between two communicated cells. Inset: the intercellular channel is formed by the docking of two single channels (undocked hemichannel). The intercellular channel could be “homotypic,” at which both hemichannels are formed by the same gap junction channel-forming protein, or “heterotypic,” in which hemichannels are formed by different gap junction channel-forming proteins. Modified from Miller and Pereda (2017), with permission. '''(B)''' Non-rectifying electrical synapse. Both depolarizations (+, red traces) and hyperpolarizations (−, blue traces) evoked by intracellular current injection (I, gray traces) propagate to the postsynaptic cell in both directions (Cell 1 to Cell 2 and Cell 2 to Cell 1). Inset: the electrical behavior of most electrical synapses in physiological contexts correspond to that of an ohmic resistor (resistor symbol). '''(C)'''Rectifying synapse. Depolarizations, but not hyperpolarizations, propagate from Cell 1 to Cell 2. Conversely, hyperpolarizations, but not depolarizations, propagate from Cell 2 to Cell 1. Inset: in electrical terms, strongly rectifying electrical synapses behave as electric diodes (diode symbol).]]
[[File:Ephaptic 3.jpeg|center|frame|'''Figure 3:''' Synaptic communication mediated by gap junctions. '''(A)''' Gap junctions (Gap junction plaque) are groups of intercellular channels that provide a pathway of low resistance for the spread of electrical currents between two communicated cells. Inset: the intercellular channel is formed by the docking of two single channels (undocked hemichannel). The intercellular channel could be “homotypic,” at which both hemichannels are formed by the same gap junction channel-forming protein, or “heterotypic,” in which hemichannels are formed by different gap junction channel-forming proteins. Modified from Miller and Pereda (2017), with permission. '''(B)''' Non-rectifying electrical synapse. Both depolarizations (+, red traces) and hyperpolarizations (−, blue traces) evoked by intracellular current injection (I, gray traces) propagate to the postsynaptic cell in both directions (Cell 1 to Cell 2 and Cell 2 to Cell 1). Inset: the electrical behavior of most electrical synapses in physiological contexts correspond to that of an ohmic resistor (resistor symbol). '''(C)'''Rectifying synapse. Depolarizations, but not hyperpolarizations, propagate from Cell 1 to Cell 2. Conversely, hyperpolarizations, but not depolarizations, propagate from Cell 2 to Cell 1. Inset: in electrical terms, strongly rectifying electrical synapses behave as electric diodes (diode symbol).]]
Rather than simple conduits the gap junction channels themselves contribute to electrical communication. The molecular composition and properties of the gap junction intercellular channel have been shown to endow electrical transmission with voltage-dependent properties. Hemichannels that contribute to form the intercellular channel can be made of the same or different connexin or innexin proteins. Intercellular channels formed by hemichannels made of the same protein are called “homotypic,” whereas channels formed by hemichannels made of different proteins are called “heterotypic” ​(Figure3A, inset). Molecular differences between the involved hemichannels are commonly associated with rectification of electrical transmission (Barrio et al., 1991; Verselis et al., 1994) and, providing support for such prediction, this association has been observed for both connexin (Rash et al., 2013) and innexin-based electrical synapses (Phelan et al., 2008). Rectification refers to the ability of electrical currents to preferentially flow in one direction, in other words, they behave as electrical diodes. However, this property critically depends on the polarity of the signal. As observed in the crayfish giant fiber synapses (Furshpan and Potter, 1959; Giaume et al., 1987), depolarizations can travel from the presynaptic to the postsynaptic side but not in the opposite directions, and hyperpolarizations can travel from the postsynaptic to the presynaptic side but not the other direction ​(Figure3C). The polarized features of electrical transmission suggest the existence of a voltage-sensitive mechanism underlying this property. Several mechanisms were proposed to contribute to steep electrical rectification of gap junction channels, such as that observed in crayfish. Electrical rectification can be a consequence of the separation of fixed positive and negative charges at opposite ends of heterotypic gap junction channels, configuring a “p-n junction,” which results from asymmetries in the molecular composition of the hemichannels that form the intercellular channel (Oh et al., 1999). Alternatively, electrical rectification could result from the presence of charged cytosolic factors which alter channel conductance, such as Mg++ (Palacios-Prado et al., 2013, 2014) and spermine (Musa et al., 2004), which were to shown to interact with the gap junction channel. Combinations of these or more factors are likely to contribute to this striking voltage-dependent feature of some electrical synapses (reviewed in Palacios-Prado et al., 2014). Finally, the conductance of neuronal gap junctions was shown to be target of numerous regulatory mechanisms that endow electrical synapses with plastic properties equivalent to those observed at chemical synapses (reviewed in Pereda et al., 2013; O’Brien, 2014, 2017; Pereda, 2014).
Rather than simple conduits the gap junction channels themselves contribute to electrical communication. The molecular composition and properties of the gap junction intercellular channel have been shown to endow electrical transmission with voltage-dependent properties. Hemichannels that contribute to form the intercellular channel can be made of the same or different connexin or innexin proteins. Intercellular channels formed by hemichannels made of the same protein are called “homotypic,” whereas channels formed by hemichannels made of different proteins are called “heterotypic” ​(Figure3A, inset). Molecular differences between the involved hemichannels are commonly associated with rectification of electrical transmission (Barrio et al., 1991<ref>Barrio, L. C., Suchyna, T., Bargiello, T., Xu, L. X., Roginski, R. S., Bennett, M. V., et al. (1991). Gap junctions formed by connexins 26 and 32 alone and in combination are differently affected by applied voltage. ''Proc. Natl. Acad. Sci. U S A'' 88, 8410–8414. doi: 10.1073/pnas.88.19.8410</ref>; Verselis et al., 1994<ref>Verselis, V. K., Ginter, C. S., and Bargiello, T. A. (1994). Opposite voltage gating polarities of two closely related connexins. ''Nature'' 368, 348–351. doi: 10.1038/368348a0</ref>) and, providing support for such prediction, this association has been observed for both connexin (Rash et al., 2013<ref>Rash, J. E., Curti, S., Vanderpool, K. G., Kamasawa, N., Nannapaneni, S., Palacios-Prado, N., et al. (2013). Molecular and functional asymmetry at a vertebrate electrical synapse. ''Neuron'' 79, 957–969. doi: 10.1016/j.neuron.2013.06.037</ref>) and innexin-based electrical synapses (Phelan et al., 2008<ref>Phelan, P., Goulding, L. A., Tam, J. L., Allen, M. J., Dawber, R. J., Davies, J. A., et al. (2008). Molecular mechanism of rectification at identified electrical synapses in the drosophila giant fiber system. ''Curr. Biol.'' 18, 1955–1960. doi: 10.1016/j.cub.2008.10.067</ref>). Rectification refers to the ability of electrical currents to preferentially flow in one direction, in other words, they behave as electrical diodes. However, this property critically depends on the polarity of the signal. As observed in the crayfish giant fiber synapses (Furshpan and Potter, 1959<ref>Furshpan, E. J., and Potter, D. D. (1959). Transmission at the giant motor synapses of the crayfish. ''J. Physiol.'' 145, 289–325. doi: 10.1113/jphysiol.1959.sp006143</ref>; Giaume et al., 1987<ref>Giaume, C., Kado, R. T., and Korn, H. (1987). Voltage-clamp analysis of a crayfish rectifying synapse. ''J. Physiol.'' 386, 91–112. doi: 10.1113/jphysiol.1987.sp016524</ref>), depolarizations can travel from the presynaptic to the postsynaptic side but not in the opposite directions, and hyperpolarizations can travel from the postsynaptic to the presynaptic side but not the other direction ​(Figure3C). The polarized features of electrical transmission suggest the existence of a voltage-sensitive mechanism underlying this property. Several mechanisms were proposed to contribute to steep electrical rectification of gap junction channels, such as that observed in crayfish. Electrical rectification can be a consequence of the separation of fixed positive and negative charges at opposite ends of heterotypic gap junction channels, configuring a “p-n junction,” which results from asymmetries in the molecular composition of the hemichannels that form the intercellular channel (Oh et al., 1999<ref>Oh, S., Rubin, J. B., Bennett, M. V., Verselis, V. K., and Bargiello, T. A. (1999). Molecular determinants of electrical rectification of single channel conductance in gap junctions formed by connexins 26 and 32. ''J. Gen. Physiol.'' 114, 339–364. doi: 10.1085/jgp.114.3.339</ref>). Alternatively, electrical rectification could result from the presence of charged cytosolic factors which alter channel conductance, such as Mg++ (Palacios-Prado et al., 2013, 2014<ref name=":9">Palacios-Prado, N., Hoge, G., Marandykina, A., Rimkute, L., Chapuis, S., Paulauskas, N., et al. (2013). Intracellular magnesium-dependent modulation of gap junction channels formed by neuronal connexin36. ''J. Neurosci.'' 33, 4741–4753. doi: 10.1523/jneurosci.2825-12.2013
Palacios-Prado, N., Huetteroth, W., and Pereda, A. E. (2014). Hemichannel composition and electrical synaptic transmission: molecular diversity and its implications for electrical rectification. ''Front. Cell. Neurosci.'' 8:324. doi: 10.3389/fncel.2014.00324</ref>) and spermine (Musa et al., 2004<ref>Musa, H., Fenn, E., Crye, M., Gemel, J., Beyer, E. C., and Veenstra, R. D. (2004). Amino terminal glutamate residues confer spermine sensitivity and affect voltage gating and channel conductance of rat connexin40 gap junctions. ''J. Physiol.'' 557, 863–878. doi: 10.1113/jphysiol.2003.059386</ref>), which were to shown to interact with the gap junction channel. Combinations of these or more factors are likely to contribute to this striking voltage-dependent feature of some electrical synapses (reviewed in Palacios-Prado et al., 2014<ref name=":9" />). Finally, the conductance of neuronal gap junctions was shown to be target of numerous regulatory mechanisms that endow electrical synapses with plastic properties equivalent to those observed at chemical synapses (reviewed in Pereda et al., 2013<ref>Pereda, A. E., Curti, S., Hoge, G., Cachope, R., Flores, C. E., and Rash, J. E. (2013). Gap junction-mediated electrical transmission: regulatory mechanisms and plasticity. ''Biochim. Biophys. Acta'' 1828, 134–146. doi: 10.1016/j.bbamem.2012.05.026</ref>; O’Brien, 2014, 2017<ref>O’Brien, J. (2014). The ever-changing electrical synapse. ''Curr. Opin. Neurobiol.'' 29, 64–72. doi: 10.1016/j.conb.2014.05.011


Rather than simple conduits the gap junction channels themselves contribute to electrical communication. The molecular composition and properties of the gap junction intercellular channel have been shown to endow electrical transmission with voltage-dependent properties. Hemichannels that contribute to form the intercellular channel can be made of the same or different connexin or innexin proteins. Intercellular channels formed by hemichannels made of the same protein are called “homotypic,” whereas channels formed by hemichannels made of different proteins are called “heterotypic” ​(Figure3A, inset). Molecular differences between the involved hemichannels are commonly associated with rectification of electrical transmission (Barrio et al., 1991; Verselis et al., 1994) and, providing support for such prediction, this association has been observed for both connexin (Rash et al., 2013) and innexin-based electrical synapses (Phelan et al., 2008). Rectification refers to the ability of electrical currents to preferentially flow in one direction, in other words, they behave as electrical diodes. However, this property critically depends on the polarity of the signal. As observed in the crayfish giant fiber synapses (Furshpan and Potter, 1959; Giaume et al., 1987), depolarizations can travel from the presynaptic to the postsynaptic side but not in the opposite directions, and hyperpolarizations can travel from the postsynaptic to the presynaptic side but not the other direction ​(Figure3C). The polarized features of electrical transmission suggest the existence of a voltage-sensitive mechanism underlying this property. Several mechanisms were proposed to contribute to steep electrical rectification of gap junction channels, such as that observed in crayfish. Electrical rectification can be a consequence of the separation of fixed positive and negative charges at opposite ends of heterotypic gap junction channels, configuring a “p-n junction,” which results from asymmetries in the molecular composition of the hemichannels that form the intercellular channel (Oh et al., 1999). Alternatively, electrical rectification could result from the presence of charged cytosolic factors which alter channel conductance, such as Mg++ (Palacios-Prado et al., 2013, 2014) and spermine (Musa et al., 2004), which were to shown to interact with the gap junction channel. Combinations of these or more factors are likely to contribute to this striking voltage-dependent feature of some electrical synapses (reviewed in Palacios-Prado et al., 2014). Finally, the conductance of neuronal gap junctions was shown to be target of numerous regulatory mechanisms that endow electrical synapses with plastic properties equivalent to those observed at chemical synapses (reviewed in Pereda et al., 2013; O’Brien, 2014, 2017; Pereda, 2014).
O’Brien, J. (2017). Design principles of electrical synaptic plasticity. ''Neurosci. Lett.'' doi: 10.1016/j.neulet.2017.09.003 [Epub ahead of print].</ref>; Pereda, 2014<ref>Pereda, A. E. (2014). Electrical synapses and their functional interactions with chemical synapses. ''Nat. Rev. Neurosci.'' 15, 250–263. doi: 10.1038/nrn3708</ref>).


=== Synaptic Transmission Mediated by Electric Fields ===
=== Synaptic Transmission Mediated by Electric Fields ===
Theoretically, simple electrical circuits with biologically realistic constraints on the passive and active voltage-dependent properties of neurons, their spatial orientation and the conductivity of the extracellular space could be used to predict whether a single neuron or a group of synchronously active cells generate enough extracellular current to affect the excitability of neighboring cells. That small capacitive and ohmic currents do flow from one cell to the next is not in doubt ​(Figure4). The question is whether the small fraction of the source current that will be channeled transcellularly is large enough to have functional significance? Weiss and Faber (2010) addressed that question by comparing the strengths of local field potentials (LFPs) associated with endogenous electrical activity of normal and epileptogenic hippocampal pyramidal neurons with the strengths of applied fields shown to modify the timing of spike activity, ''in vitro''. The effective applied fields were weaker, consistent with the notion that fields effect rhythmogenesis and neuronal synchrony. This function is most likely exerted in homogeneous CNS structures where a population of neurons have similar morphologies and orientations, such that their currents sum, as for hippocampal and cortical pyramidal cells. Indeed, modeling combined with electrophysiological experiments suggest these modulations of ongoing activity may have functional significance (see, for example, Fröhlich and McCormick, 2010; Anastassiou et al., 2011; Berzhanskaya et al., 2013; Han et al., 2018).
Theoretically, simple electrical circuits with biologically realistic constraints on the passive and active voltage-dependent properties of neurons, their spatial orientation and the conductivity of the extracellular space could be used to predict whether a single neuron or a group of synchronously active cells generate enough extracellular current to affect the excitability of neighboring cells. That small capacitive and ohmic currents do flow from one cell to the next is not in doubt ​(Figure4). The question is whether the small fraction of the source current that will be channeled transcellularly is large enough to have functional significance? Weiss and Faber (2010)<ref>Weiss, S., and Faber, D. S. (2010). Field effects in the CNS play functional roles. ''Front. Neural Circuits'' 4:15. doi: 10.3389/fncir.2010.00015</ref> addressed that question by comparing the strengths of local field potentials (LFPs) associated with endogenous electrical activity of normal and epileptogenic hippocampal pyramidal neurons with the strengths of applied fields shown to modify the timing of spike activity, ''in vitro''. The effective applied fields were weaker, consistent with the notion that fields effect rhythmogenesis and neuronal synchrony. This function is most likely exerted in homogeneous CNS structures where a population of neurons have similar morphologies and orientations, such that their currents sum, as for hippocampal and cortical pyramidal cells. Indeed, modeling combined with electrophysiological experiments suggest these modulations of ongoing activity may have functional significance (see, for example, Fröhlich and McCormick, 2010<ref>Fröhlich, F., and McCormick, D. A. (2010). Endogenous electric fields may guide neocortical network activity. ''Neuron'' 67, 129–143. doi: 10.1016/j.neuron.2010.06.005</ref>; Anastassiou et al., 2011<ref name=":10">Anastassiou, C. A., Perin, R., Markram, H., and Koch, C. (2011). Ephaptic coupling of cortical neurons. ''Nat. Neurosci.'' 14, 217–223. doi: 10.1038/nn.2727</ref>; Berzhanskaya et al., 2013<ref>Berzhanskaya, J., Chernyy, N., Gluckman, B. J., Schiff, S. J., and Ascoli, G. A. (2013). Modulation of hippocampal rhythms by subthreshold electric fields and network topology. ''J. Comput. Neurosci.'' 34, 369–389. doi: 10.1007/s10827-012-0426-4</ref>; Han et al., 2018<ref>Han, K.-S., Guo, C., Chen, C. H., Witter, L., Osorno, T., and Regehr, W. G. (2018). Ephaptic coupling promotes synchronous firing of cerebellar purkinje cells. ''Neuron''100, 564.e3–578.e3. doi: 10.1016/j.neuron.2018.09.018</ref>).


But, can this mechanism also underlie synaptic communication? Contrasting Eccles’ models of ephaptic excitation and inhibition suggests that the former is relatively straightforward and is primarily a function of the parallel or radial alignment of a population of neighboring neurons and the conductivity of the extracellular space, i.e., of the relative impedance and the orientation of the transcellular and extracellular current pathways. Yet, there are no compelling examples of ephaptic excitation mediating a distinct synaptic function with identified pre- and postsynaptic elements. Indeed, it is surprising that the prominent examples of electrical interactions between neurons consistent with a synaptic function are inhibitory. They include the bidirectional inhibition between the teleost Mauthner cell and a class of inhibitory interneurons (Faber and Korn, 1973; Korn and Faber, 1976; Korn et al., 1978), and the connection between cerebellar Basket cells and Purkinje cells (Korn and Axelrad, 1980; Blot and Barbour, 2014). Furthermore, these model systems share structural specializations and physiological properties, lending support to the hypothesis that these examples represent a form of electrical synaptic action.
But, can this mechanism also underlie synaptic communication? Contrasting Eccles’ models of ephaptic excitation and inhibition suggests that the former is relatively straightforward and is primarily a function of the parallel or radial alignment of a population of neighboring neurons and the conductivity of the extracellular space, i.e., of the relative impedance and the orientation of the transcellular and extracellular current pathways. Yet, there are no compelling examples of ephaptic excitation mediating a distinct synaptic function with identified pre- and postsynaptic elements. Indeed, it is surprising that the prominent examples of electrical interactions between neurons consistent with a synaptic function are inhibitory. They include the bidirectional inhibition between the teleost Mauthner cell and a class of inhibitory interneurons (Faber and Korn, 1973<ref>Faber, D. S., and Korn, H. (1973). A neuronal inhibition mediated electrically. ''Science''179, 577–578. doi: 10.1126/science.179.4073.577</ref>; Korn and Faber, 1976<ref name=":11">Korn, H., and Faber, D. S. (1976). Vertebrate central nervous system: same neurons mediate both electrical and chemical inhibitions. ''Science'' 194, 1166–1169. doi: 10.1126/science.186868</ref>; Korn et al., 1978<ref>Korn, H., Triller, A., and Faber, D. S. (1978). Structural correlates of recurrent collateral interneurons producing both electrical and chemical inhibitions of the mauthner cell. ''Proc. R. Soc. London. Ser. B Biol. Sci.'' 202, 533–538. doi: 10.1098/rspb.1978.0085</ref>), and the connection between cerebellar Basket cells and Purkinje cells (Korn and Axelrad, 1980<ref>Korn, H., and Axelrad, H. (1980). Electrical inhibition of purkinje cells in the cerebellum of the rat. ''Proc. Natl. Acad. Sci. U S A'' 77, 6244–6247. doi: 10.1073/pnas.77.10.6244</ref>; Blot and Barbour, 2014<ref name=":12">Blot, A., and Barbour, B. (2014). Ultra-rapid axon-axon ephaptic inhibition of cerebellar purkinje cells by the pinceau. ''Nat. Neurosci.'' 17, 289–295. doi: 10.1038/nn.3624</ref>). Furthermore, these model systems share structural specializations and physiological properties, lending support to the hypothesis that these examples represent a form of electrical synaptic action.


The Mauthner cell is a large identifiable midbrain neuron found in many teleosts, and it has a number of morphological specializations that make it an unique model system. Furukawa and Furshpan (1963) discovered the first example of electrical inhibition when comparing the intra- and extracellular potentials evoked in the axon cap by antidromic stimulation of this neuron’s axon—as noted, the axon cap is a dense neuropil surrounding the initial segment of the Mauthner cell axon. First, the antidromic action potential in the extracellular space (Ve) is very large and negative, as much as −40 mV, and the corresponding spike height recorded intra-axonally (Vi) at the site of spike initiation is smaller, ~+50 mV, so that the full transmembrane spike height, calculated as the difference between the intra- and extracellular responses, i.e., Vi − Ve, ~+90 mv (Furshpan and Furukawa, 1962). This observation of such a large extracellular potential associated with one neuron’s action potential suggested a high resistance barrier to extracellular current, and it has been proposed that this property is a consequence of the structure of the axon cap: swelling of interneuron axons at the edge of the cap, and close proximity to a densely packed ring of glia at the same boundary, known as the “canestro” or “basket” of Beccari (1907). These morphological features represent cellular specializations that support electrical communication and, therefore, may be analogous to structural specializations found at chemical synapses. Furthermore, the antidromic spike was succeeded by an extracellular positivity, which they named the Extrinsic Hyperpolarizing Potential (EHP) since it was larger than its intracellular representation, and, thus the same calculation showed that (Vi - Ve) &lt; 0 and that the EHP is inhibitory. It was shown subsequently that the EHP was generated by impulses in a class of inhibitory interneurons that mediate feedback and feedforward inhibition of the Mauthner cell and that the evoked inhibition has two components, with a classical glycinergic inhibition of the Mauthner cell following the electrical component by ~0.5 ms (Figure 4A; Korn and Faber, 1976). In the case of the feedforward circuit, the short latency allows electrical inhibition to occur synchronously with excitation, thereby limiting the duration of the decision-making window in processing information by the Mauthner cell. Thus, these connections mediate mixed, electrical and chemical, synaptic actions ​(Figure 4A).
The Mauthner cell is a large identifiable midbrain neuron found in many teleosts, and it has a number of morphological specializations that make it an unique model system. Furukawa and Furshpan (1963)<ref>Furukawa, T., and Furshpan, E. J. (1963). Two inhibitory mechanisms in the mauthner neurons of goldfish. ''J. Neurophysiol.'' 26, 140–176. doi: 10.1152/jn.1963.26.1.140</ref> discovered the first example of electrical inhibition when comparing the intra- and extracellular potentials evoked in the axon cap by antidromic stimulation of this neuron’s axon—as noted, the axon cap is a dense neuropil surrounding the initial segment of the Mauthner cell axon. First, the antidromic action potential in the extracellular space (Ve) is very large and negative, as much as −40 mV, and the corresponding spike height recorded intra-axonally (Vi) at the site of spike initiation is smaller, ~+50 mV, so that the full transmembrane spike height, calculated as the difference between the intra- and extracellular responses, i.e., Vi − Ve, ~+90 mv (Furshpan and Furukawa, 1962<ref>Furshpan, E. J., and Furukawa, T. (1962). Intracellular and extracellular responses of the several regions of the mauthner cell of the goldfish. ''J. Neurophysiol.'' 25, 732–771. doi: 10.1152/jn.1962.25.6.732</ref>). This observation of such a large extracellular potential associated with one neuron’s action potential suggested a high resistance barrier to extracellular current, and it has been proposed that this property is a consequence of the structure of the axon cap: swelling of interneuron axons at the edge of the cap, and close proximity to a densely packed ring of glia at the same boundary, known as the “canestro” or “basket” of Beccari (1907)<ref>Beccari, N. (1907). Richerche sulle cellule e fibre del mauthner e sulle conessioni in pesci es anfibii. ''Asrch. Ital. Anat. Embriol.'' 6, 660–705.</ref>. These morphological features represent cellular specializations that support electrical communication and, therefore, may be analogous to structural specializations found at chemical synapses. Furthermore, the antidromic spike was succeeded by an extracellular positivity, which they named the Extrinsic Hyperpolarizing Potential (EHP) since it was larger than its intracellular representation, and, thus the same calculation showed that (Vi - Ve) &lt; 0 and that the EHP is inhibitory. It was shown subsequently that the EHP was generated by impulses in a class of inhibitory interneurons that mediate feedback and feedforward inhibition of the Mauthner cell and that the evoked inhibition has two components, with a classical glycinergic inhibition of the Mauthner cell following the electrical component by ~0.5 ms (Figure 4A; Korn and Faber, 1976<ref name=":11" />). In the case of the feedforward circuit, the short latency allows electrical inhibition to occur synchronously with excitation, thereby limiting the duration of the decision-making window in processing information by the Mauthner cell. Thus, these connections mediate mixed, electrical and chemical, synaptic actions ​(Figure 4A).
[[File:Ephaptic 4.jpeg|center|frame|'''Figure 4''': Inhibitory synaptic action in the Mauthner cell network mediated by electric fields. '''(A)'''Mixed electrical and chemical inhibition of the Mauthner cell mediated by action potentials in axonal endings of identified inhibitory interneurons (red). Some axon branches converge on the Mauthner cell’s Axon cap (violet) around its initial segment, and their action currents generate a hyperpolarizing extracellular positivity in the cap. The interneuron’s axons within and outside the cap are glycinergic and mediate chemical inhibition of the Mauthner cell, manifest as a postsynaptic shunt (blue regions). Modified from Pereda and Faber (2011), with permission. '''(B,C)'''Resistive circuit models demonstrating current flow associated with electrical inhibition of the Mauthner cell '''(B)''', and of the inhibitory interneuron. '''(C)''' When the interneuron is activated, its action current is channeled through the axon and in across the Mauthner axon’s initial segment, generating an extracellular positivity in the axon cap, thereby hyperpolarizing the axon. When the Mauthner axon’s initial segment is activated, its action current is directed inward across the interneuron’s excitable membrane and returns to the source through the inexcitable terminal axon. Panels '''(B,C)''' modified from Faber and Korn (1989), with permission.]]
[[File:Ephaptic 4.jpeg|center|frame|'''Figure 4''': Inhibitory synaptic action in the Mauthner cell network mediated by electric fields. '''(A)'''Mixed electrical and chemical inhibition of the Mauthner cell mediated by action potentials in axonal endings of identified inhibitory interneurons (red). Some axon branches converge on the Mauthner cell’s Axon cap (violet) around its initial segment, and their action currents generate a hyperpolarizing extracellular positivity in the cap. The interneuron’s axons within and outside the cap are glycinergic and mediate chemical inhibition of the Mauthner cell, manifest as a postsynaptic shunt (blue regions). Modified from Pereda and Faber (2011), with permission. '''(B,C)'''Resistive circuit models demonstrating current flow associated with electrical inhibition of the Mauthner cell '''(B)''', and of the inhibitory interneuron. '''(C)''' When the interneuron is activated, its action current is channeled through the axon and in across the Mauthner axon’s initial segment, generating an extracellular positivity in the axon cap, thereby hyperpolarizing the axon. When the Mauthner axon’s initial segment is activated, its action current is directed inward across the interneuron’s excitable membrane and returns to the source through the inexcitable terminal axon. Panels '''(B,C)''' modified from Faber and Korn (1989), with permission.]]


Additional specializations support the notion that electrical inhibition is physiological and functionally relevant. For example, the presynaptic spike in the inhibitory interneurons propagates passively within the cap, where the afferent axon loses its myelination. Consequently, the local field is monophasic, increasing its effectiveness. The EHP, which acts as an extracellular anode, that is, as an external current source, can be as large as 20 mV. Paired pre- and postsynaptic recordings show that the contribution of a single interneuron is about 0.4 mV per presynaptic spike, suggesting about 50 interneurons discharge synchronously following antidromic stimulation This is a powerful population effect that shuts down the Mauthner cell for 10’s of milliseconds. However, as noted above, these neurons are also excited in a feedforward circuit that relays auditory information to the Mauthner cell. In this case the EHP is graded as a function of stimulus strength, and it serves to set the threshold of a sound-evoked behavior, the escape response: when a sound-evoked EHP is canceled by an applied cathodal current in the axon cap, the underlying subthreshold EPSP is converted to suprathreshold, triggering Mauthner cell activation (Weiss et al., 2008).
Additional specializations support the notion that electrical inhibition is physiological and functionally relevant. For example, the presynaptic spike in the inhibitory interneurons propagates passively within the cap, where the afferent axon loses its myelination. Consequently, the local field is monophasic, increasing its effectiveness. The EHP, which acts as an extracellular anode, that is, as an external current source, can be as large as 20 mV. Paired pre- and postsynaptic recordings show that the contribution of a single interneuron is about 0.4 mV per presynaptic spike, suggesting about 50 interneurons discharge synchronously following antidromic stimulation This is a powerful population effect that shuts down the Mauthner cell for 10’s of milliseconds. However, as noted above, these neurons are also excited in a feedforward circuit that relays auditory information to the Mauthner cell. In this case the EHP is graded as a function of stimulus strength, and it serves to set the threshold of a sound-evoked behavior, the escape response: when a sound-evoked EHP is canceled by an applied cathodal current in the axon cap, the underlying subthreshold EPSP is converted to suprathreshold, triggering Mauthner cell activation (Weiss et al., 2008<ref name=":13">Weiss, S. A., Preuss, T., and Faber, D. S. (2008). A role of electrical inhibition in sensorimotor integration. ''Proc. Natl. Acad. Sci. U S A'' 105, 18047–18052. doi: 10.1073/pnas.0806145105</ref>).


Other factors which influence the operation of electrical inhibition include the orientation of the involved neurons and the distribution of excitable membrane relative to extracellular current sources and sinks. The Mauthner cell system is an ideal model for extracting mechanistic features, especially since there is reciprocal inhibition in the network, that is, the interneurons are inhibited by the Mauthner cell action currents (electric currents that originate from variations of potential during neural activity). Figures 4B, Ccontrasts the two examples. In both cases, the inhibitory current is channeled inward across excitable membrane, namely the Mauthner axon initial segmenti (Figure 4B) or the last node, or heminode, of the inhibitory interneuron’s axon ​(Figure 4C). Conversely, it exits the target through inexcitable membrane, that is, across soma-dendritic- or axon terminal membrane, respectively. Thus, if the distribution of excitable or inexcitable membrane were altered, the sign and magnitude of the ephaptic action would be altered accordingly. These considerations pertain to other networks as well, as discussed below.
Other factors which influence the operation of electrical inhibition include the orientation of the involved neurons and the distribution of excitable membrane relative to extracellular current sources and sinks. The Mauthner cell system is an ideal model for extracting mechanistic features, especially since there is reciprocal inhibition in the network, that is, the interneurons are inhibited by the Mauthner cell action currents (electric currents that originate from variations of potential during neural activity). Figures 4B, Ccontrasts the two examples. In both cases, the inhibitory current is channeled inward across excitable membrane, namely the Mauthner axon initial segmenti (Figure 4B) or the last node, or heminode, of the inhibitory interneuron’s axon ​(Figure 4C). Conversely, it exits the target through inexcitable membrane, that is, across soma-dendritic- or axon terminal membrane, respectively. Thus, if the distribution of excitable or inexcitable membrane were altered, the sign and magnitude of the ephaptic action would be altered accordingly. These considerations pertain to other networks as well, as discussed below.
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Since the consequences of different spatial and functional arrangements are not necessarily intuitive, ​Figure 5 illustrates different combinations. In Figure 5A an inward postsynaptic current is inhibitory if the postsynaptic membrane is inexcitable at the site of contact, and it can be excitatory if the obligatory outward current exits through excitable membrane. The two examples in ​Figure 5B contrast the inhibitory and excitatory field effects generated at axo-axonic and axo-somatic contacts, respectively, when the excitable membrane is restricted to the axonal initial segment. It should be noted that these general examples do not factor in the dependence of the strength of the corresponding electrical interaction on the density and spatial distribution of current flow.
Since the consequences of different spatial and functional arrangements are not necessarily intuitive, ​Figure 5 illustrates different combinations. In Figure 5A an inward postsynaptic current is inhibitory if the postsynaptic membrane is inexcitable at the site of contact, and it can be excitatory if the obligatory outward current exits through excitable membrane. The two examples in ​Figure 5B contrast the inhibitory and excitatory field effects generated at axo-axonic and axo-somatic contacts, respectively, when the excitable membrane is restricted to the axonal initial segment. It should be noted that these general examples do not factor in the dependence of the strength of the corresponding electrical interaction on the density and spatial distribution of current flow.


It is noteworthy that another system with well-studied ephaptic inhibition is the cerebellar pinceau where terminal axons of basket cells form a densely packed sheath around the Purkinje cell initial axon segment. This unusual axonic arrangement of inhibitory basket cells on Purkinje cells can be also considered, as in the Mauthner cell, a synaptic specialization supporting electrical transmission. Blot and Barbour (2014) showed that this ephaptic inhibition could, at very weak fields produced by a spike in a single basket cell, reduce the firing rate of an active Purkinje cell. They postulated that the coupling between cells was due to capacitive current flow, not to resistive current as suggested for the Mauthner cell. However, the time constants of the Mauthner cell and of the inhibitory interneurons are unusually brief, in the range of 100–200 microseconds, and 2 milliseconds, respectively, suggesting resistive coupling is a major portion of the electrical inhibition in that network. Regardless, the speed of coupling in both systems may be one function of electrical inhibitory synapses.
It is noteworthy that another system with well-studied ephaptic inhibition is the cerebellar pinceau where terminal axons of basket cells form a densely packed sheath around the Purkinje cell initial axon segment. This unusual axonic arrangement of inhibitory basket cells on Purkinje cells can be also considered, as in the Mauthner cell, a synaptic specialization supporting electrical transmission. Blot and Barbour (2014)<ref name=":12" /> showed that this ephaptic inhibition could, at very weak fields produced by a spike in a single basket cell, reduce the firing rate of an active Purkinje cell. They postulated that the coupling between cells was due to capacitive current flow, not to resistive current as suggested for the Mauthner cell. However, the time constants of the Mauthner cell and of the inhibitory interneurons are unusually brief, in the range of 100–200 microseconds, and 2 milliseconds, respectively, suggesting resistive coupling is a major portion of the electrical inhibition in that network. Regardless, the speed of coupling in both systems may be one function of electrical inhibitory synapses.


Evidence is slowly accumulating that ephaptic currents generated by single neurons can be detected, and they have been shown to influence neuronal firing patterns in diverse structures, including teleost midbrain (2005), mammalian cortex (Anastassiou et al., 2011), cerebellar cortex (Blot and Barbour, 2014) and snail CNS (Bravarenko et al., 2005). These findings suggest that physiologically relevant ephaptic interactions may be more ubiquitous than appreciated, a prospect supported by formal models of ordered structures, such as olfactory nerve (Bokil et al., 2001) and other olfactory structures (Van der Goes van Naters, 2013) and retina (Byzov and Shura-Bura, 1986; Vroman et al., 2013) but see (Kramer and Davenport, 2015), subject to structural and biophysical constraints, including the properties discussed here.
Evidence is slowly accumulating that ephaptic currents generated by single neurons can be detected, and they have been shown to influence neuronal firing patterns in diverse structures, including teleost midbrain (2005), mammalian cortex (Anastassiou et al., 2011)<ref name=":10" />, cerebellar cortex (Blot and Barbour, 2014)<ref name=":12" /> and snail CNS (Bravarenko et al., 2005)<ref>Bravarenko, N. I., Malyshev, A. Y., Voronin, L. L., and Balaban, P. M. (2005). Ephaptic feedback in identified synapses in mollusk neurons. ''Neurosci. Behav. Physiol.'' 35, 781–787. doi: 10.1007/s11055-005-0124-z</ref>. These findings suggest that physiologically relevant ephaptic interactions may be more ubiquitous than appreciated, a prospect supported by formal models of ordered structures, such as olfactory nerve (Bokil et al., 2001)<ref>Bokil, H., Laaris, N., Blinder, K., Ennis, M., and Keller, A. (2001). Ephaptic interactions in the mammalian olfactory system. ''J. Neurosci.'' 21:RC173. doi: 10.1523/jneurosci.21-20-j0004.2001</ref> and other olfactory structures (Van der Goes van Naters, 2013)<ref>Van der Goes van Naters, W. (2013). Inhibition among olfactory receptor neurons. ''Front. Hum. Neurosci.'' 7:690. doi: 10.3389/fnhum.2013.00690</ref> and retina (Byzov and Shura-Bura, 1986<ref>Byzov, A. L., and Shura-Bura, T. M. (1986). Electrical feedback mechanism in the processing of signals in the outer plexiform layer of the retina. ''Vision Res.'' 26, 33–44. doi: 10.1016/0042-6989(86)90069-6</ref>; Vroman et al., 2013<ref>Vroman, R., Klaassen, L. J., and Kamermans, M. (2013). Ephaptic communication in the vertebrate retina. ''Front. Hum. Neurosci.'' 7:612. doi: 10.3389/fnhum.2013.00612</ref>) but see (Kramer and Davenport, 2015)<ref>Kramer, R. H., and Davenport, C. M. (2015). Lateral inhibition in the vertebrate retina: the case of the missing neurotransmitter. ''PLoS Biol.'' 13:e1002322. doi: 10.1371/journal.pbio.1002322</ref>, subject to structural and biophysical constraints, including the properties discussed here.


=== Summary ===
=== Summary ===
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Ephaptic interactions are generally perceived as only occurring in a diffuse manner, particularly in situations where the activity of a group of neurons influences the excitability of its neighbors. These interactions were proposed to play physiological (LFPs) and pathological roles (seizure maintenance). On the other hand, there are examples where presynaptic cellular specializations are found in close proximity to specific regions of the postsynaptic cell. This is the case for the axon terminals of inhibitory interneurons which impinge on the Mauthner cell, within the axon cap, and on cerebellar Purkinje cells, in the basket cell pinceau: in both cases these endings are located in close proximity to the initial segment of the “postsynaptic” cell. From our perspective, these two examples qualify as synapses, as presynaptic specializations enable localized actions on a very specific region of the postsynaptic cell. In addition to presynaptic anatomical specializations the interactions require an unusual high resistivity (or impedance) of the extracellular space. Moreover, these specializations were shown to be functionally and behaviorally relevant. More than one set of structural and physiological conditions are consistent with the electric field modality of synaptic communication. That is, the required anatomical and functional specializations do not follow a general pattern and seem specific for each case, making the identification of new examples by anatomical means particularly challenging. However, the Mauthner cell axon cap and the basket cell pinceau on the Purkinje cell unambiguously represent synaptic specializations and constitute the focus of this review article.
Ephaptic interactions are generally perceived as only occurring in a diffuse manner, particularly in situations where the activity of a group of neurons influences the excitability of its neighbors. These interactions were proposed to play physiological (LFPs) and pathological roles (seizure maintenance). On the other hand, there are examples where presynaptic cellular specializations are found in close proximity to specific regions of the postsynaptic cell. This is the case for the axon terminals of inhibitory interneurons which impinge on the Mauthner cell, within the axon cap, and on cerebellar Purkinje cells, in the basket cell pinceau: in both cases these endings are located in close proximity to the initial segment of the “postsynaptic” cell. From our perspective, these two examples qualify as synapses, as presynaptic specializations enable localized actions on a very specific region of the postsynaptic cell. In addition to presynaptic anatomical specializations the interactions require an unusual high resistivity (or impedance) of the extracellular space. Moreover, these specializations were shown to be functionally and behaviorally relevant. More than one set of structural and physiological conditions are consistent with the electric field modality of synaptic communication. That is, the required anatomical and functional specializations do not follow a general pattern and seem specific for each case, making the identification of new examples by anatomical means particularly challenging. However, the Mauthner cell axon cap and the basket cell pinceau on the Purkinje cell unambiguously represent synaptic specializations and constitute the focus of this review article.


Despite the predominance of electrical signaling in the nervous system, synaptic communication ubiquitously occurs via the interposition of a chemical messenger, or neurotransmitter, between synaptically-connected cells. Chemical communication is likely an evolutionarily earlier communication strategy, as it occurs between unicellular organisms (Li and Nair, 2012). However, chemical communication between neurons is controlled by and capable of generating electrical signals: evoked transmitter release requires presynaptic depolarization and neurotransmitter receptors generate postsynaptic electrical signals (Sheng et al., 2012). Given such a close interrelationship between electrical signaling and chemical communication, the latter was also called “electrochemical transmission” (Llinás, 2001).
Despite the predominance of electrical signaling in the nervous system, synaptic communication ubiquitously occurs via the interposition of a chemical messenger, or neurotransmitter, between synaptically-connected cells. Chemical communication is likely an evolutionarily earlier communication strategy, as it occurs between unicellular organisms (Li and Nair, 2012)<ref>Li, Z., and Nair, S. K. (2012). Quorum sensing: how bacteria can coordinate activity and synchronize their response to external signals? ''Protein Sci.'' 21, 1403–1417. doi: 10.1002/pro.2132</ref>. However, chemical communication between neurons is controlled by and capable of generating electrical signals: evoked transmitter release requires presynaptic depolarization and neurotransmitter receptors generate postsynaptic electrical signals (Sheng et al., 2012)<ref name=":14">Sheng, M., Sabatini, B. L. and Sudhof, T. (2012). ''The Synapse'', eds M. Sheng, B. L. Sabatini, and T. Südhof (New York, NY: Cold Spring Harbor Laboratory Press).</ref>. Given such a close interrelationship between electrical signaling and chemical communication, the latter was also called “electrochemical transmission” (Llinás, 2001)<ref>Llinás, R. (2001). ''I of the Vortex: from Neurons to Self.'' Cambridge: MIT Press.</ref>.


Despite their dependence on electricity, these three forms of communication co-exist because their individual properties differentially contribute to the processing of information within circuits. Chemical synapses, in addition to having receptors that gate ligand-bound ion channels capable of generating changes in the membrane potential of the cell following activation, have metabotropic receptors capable of activating a variety of biochemical cascades. Activation of biochemical cascades can occur following the binding of neurotransmitter to either ionotropic and metabotropic receptors and could lead to long-term modification of synaptic and/or cellular properties and induction of gene expression (Sheng et al., 2012). Thus, chemical synapses have the ability to transform a presynaptic signal into a variety of spatial and temporal patterns, an adaptive property that contributes to a great extent to the diversity of synaptic communication in the brain.
Despite their dependence on electricity, these three forms of communication co-exist because their individual properties differentially contribute to the processing of information within circuits. Chemical synapses, in addition to having receptors that gate ligand-bound ion channels capable of generating changes in the membrane potential of the cell following activation, have metabotropic receptors capable of activating a variety of biochemical cascades. Activation of biochemical cascades can occur following the binding of neurotransmitter to either ionotropic and metabotropic receptors and could lead to long-term modification of synaptic and/or cellular properties and induction of gene expression (Sheng et al., 2012)<ref name=":14" />. Thus, chemical synapses have the ability to transform a presynaptic signal into a variety of spatial and temporal patterns, an adaptive property that contributes to a great extent to the diversity of synaptic communication in the brain.


In contrast, the lack of a measurable synaptic delay implies that electrical transmission may be better adapted to ensure fast processing of signals through neural networks. While the two forms of electrical transmission have in common a high-speed of synaptic communication they however seem to serve different roles in communication, from the network point of view. There are, so far, fewer examples of electrical communication mediated by electric fields and as a result, less is known of the underlying mechanism. It is, however, known that its actions are localized on critical subcellular locations, such as the neuron’s initial segment. This feature allows synapses mediated by electric fields to convey exquisite timing information to decision-making cells within a circuit. Because of its speed, electrical transmission mediated by fields was shown to be critical in the processing of auditory information by the circuits that control the excitability of the teleost Mauthner cell (Weiss et al., 2008), and this mechanism is likely to play similar roles in controlling the activation of Purkinje neurons by cerebellar circuits (Blot and Barbour, 2014). In contrast, electrical synapses mediated by gap junctions are more widely distributed within neural networks and, a result of their bidirectionality, promote coordinated network activity by allowing computation of subthreshold variations of membrane potential between electrically-coupled cells. While promoting electrical synchronization is the signature property of gap junction mediated electrical synapses, their functional roles also include desynchronization, enhancement of signal to noise ratio, and coincidence detection, amongst others (reviewed in Connors, 2017).
In contrast, the lack of a measurable synaptic delay implies that electrical transmission may be better adapted to ensure fast processing of signals through neural networks. While the two forms of electrical transmission have in common a high-speed of synaptic communication they however seem to serve different roles in communication, from the network point of view. There are, so far, fewer examples of electrical communication mediated by electric fields and as a result, less is known of the underlying mechanism. It is, however, known that its actions are localized on critical subcellular locations, such as the neuron’s initial segment. This feature allows synapses mediated by electric fields to convey exquisite timing information to decision-making cells within a circuit. Because of its speed, electrical transmission mediated by fields was shown to be critical in the processing of auditory information by the circuits that control the excitability of the teleost Mauthner cell (Weiss et al., 2008)<ref name=":13" />, and this mechanism is likely to play similar roles in controlling the activation of Purkinje neurons by cerebellar circuits (Blot and Barbour, 2014)<ref name=":12" />. In contrast, electrical synapses mediated by gap junctions are more widely distributed within neural networks and, a result of their bidirectionality, promote coordinated network activity by allowing computation of subthreshold variations of membrane potential between electrically-coupled cells. While promoting electrical synchronization is the signature property of gap junction mediated electrical synapses, their functional roles also include desynchronization, enhancement of signal to noise ratio, and coincidence detection, amongst others (reviewed in Connors, 2017)<ref>Connors, B. W. (2017). Synchrony and so much more: diverse roles for electrical synapses in neural circuits. ''Dev. Neurobiol.'' 77, 610–624. doi: 10.1002/dneu.22493</ref>


Finally, the functional value of each form of transmission has its unique valence, which cannot be accomplished by the other. This functional categorization, is emphasized by the existence of mixed transmission at synaptic contacts at which chemical and electrical transmission, mediated by either gap junctions (Furshpan, 1964) or electric fields (Korn and Faber, 1976), act in concert to secure communication with a postsynaptic cell.
Finally, the functional value of each form of transmission has its unique valence, which cannot be accomplished by the other. This functional categorization, is emphasized by the existence of mixed transmission at synaptic contacts at which chemical and electrical transmission, mediated by either gap junctions (Furshpan, 1964)<ref name=":5" /> or electric fields (Korn and Faber, 1976)<ref name=":11" />, act in concert to secure communication with a postsynaptic cell.


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