Abstract
“Neuronal assemblies” are defined here as coalitions within the brain of millions of neurons extending in space up to 1–2 mm, and lasting for hundreds of milliseconds: as such they could potentially link bottom-up, micro-scale with top-down, macro-scale events. The perspective first compares the features in vitro versus in vivo of this underappreciated “meso-scale” level of brain processing, secondly considers the various diverse functions in which assemblies may play a pivotal part, and thirdly analyses whether the surprisingly spatially extensive and prolonged temporal properties of assemblies can be described exclusively in terms of classic synaptic transmission or whether additional, different types of signaling systems are likely to operate. Based on our own voltage-sensitive dye imaging (VSDI) data acquired in vitro we show how restriction to only one signaling process, i.e., synaptic transmission, is unlikely to be adequate for modeling the full profile of assemblies. Based on observations from VSDI with its protracted spatio-temporal scales, we suggest that two other, distinct processes are likely to play a significant role in assembly dynamics: “volume” transmission (the passive diffusion of diverse bioactive transmitters, hormones, and modulators), as well as electrotonic spread via gap junctions. We hypothesize that a combination of all three processes has the greatest potential for deriving a realistic model of assemblies and hence elucidating the various complex brain functions that they may mediate.
Features of Neuronal Assemblies
“Neuronal assemblies” (; Singer et al., 1997) are large scale coalitions of neurons that operate in collective activity over a spatio-temporal scales of millimeters and milliseconds, i.e., at “meso-scale” level of brain organization thereby linking cellular (micro-scale) and entire neuronal systems (macro-scale) events (). However, this definition is not universally accepted: the same term has been used for different, yet sometimes overlapping entities, such as anatomically defined cortical columns (Krueger et al., 2008): conversely the same phenomenon featured here, namely the dynamic patterns generated by thousands and tens of thousands of co-active cells, has been referred to in alternative terms, such as “ensembles” (Pais-Vieira et al., 2013; Miller et al., 2014; ).
If the defining feature then, is one of dynamism, then one of the most effective ways of studying assemblies is with molecular probes, which anchor within fatty environments of neuronal cell membranes, and are sensitive to real-time changes in membrane electrical potentials (Vm) (Loew, 1996). Voltage-sensitive dyes (VSDs), which possess electrochromic properties that enable them to report ongoing electrical potential changes (), such as di-4-ANEPPS (Tominaga et al., 2000; Petersen et al., 2003a,b), are particularly effective. Di-4-ANEPPS is one of the most useful and versatile VSDs – it is a red dye which produces data with relatively high signal-to-noise ratio and more commonly used in vitro (, ; Preuss and Stein, 2013; ), which has been implicated as a less toxic alternative to blue dyes (themselves originally developed for in vivo applications) and which can also be used in vivo (). Using mathematical analysis software, such as MatLab (Mathworks) or Mathematica (Wolfram), three-dimensional voltage-sensitive dye imaging (VSDI) data sets (fluorescence × space × time) can be processed in any way, shape or form using bespoke analysis scripts and codes. Whilst both electrophysiology and VSDI offer high temporal (millisecond) resolution, only the latter reveals spatial features (micrometers). For example, whilst the spread, time course and amplitude of optical activity signals are among the most popular parameters for describing assemblies, other less obvious yet appropriate measurements for the particular experiment at hand have emerged, such as “summed overall fluorescence” (), “Time-to peak” (; ) or population activity propagation speed (Yuste et al., 1997; Tominaga et al., 2000), to name but a few. Though it remains difficult to unequivocally attribute specific physiological meaning to each of these parameters, they still reflect the summed output of veritable dynamics of population activity.
Assemblies will to some extent feature specific spatio-temporal profiles determined by the network-specific cytoarchitecture of particular brain regions: for example, fast, low amplitude responses are typical of sub-cortical relay structures (such as the thalamus and basal forebrain) compared to those of cortex, which are comparatively more extensive in time and space (). However, additionally to the specific physical network cytoarchitecture, these characteristics can also be much influenced by the experimental preparation and protocol. There is an inevitable trade-off between investigation of assemblies under more holistic and physiological conditions (such as those seen in vivo) compared to the reductionist, albeit more controlled scenario of limited neuronal connectivity, as seen in vitro, which nonetheless gives direct access to brain regions other than cortex: the approaches are complementary and equally necessary.
In vitro experiments are performed on either slices cut in the coronal plane, or in a parasagittal section () preserving thalamo-cortex connectivity: in either case the full depth of the cortex can be investigated, whereas in vivo experiments focus on a top-down dorsal visualization (i.e., looking down onto the pial surface of the cortex once the skull has been removed), where there is an inevitably greater focus on superficial layers. More specifically: in vivo protocols reveal that the blue dye RH-1619 penetrates 350–400 μm into the depth of the cortex from the pial surface, after a 2 h-long staining period, providing information on activity within layers I and II/III (Petersen et al., 2003a). By comparison, for in vitro experiments, VSDs have been reported to penetrate approximately 100 μm within slice tissue after 30 min-long staining periods using the red dye di-4-ANEPPS (), providing fluorescence information originating from sufficient volumes of neuronal tissue in all layers.
An important and general factor could be that the slice preparation removes any influence of more global signaling systems: destruction of the overall organization of the brain and the inevitable disruption of all long-range connections, such as the diffuse monoaminergic ascending systems from midbrain/brainstem nuclei (; ; Levitt and Moore, 1978), which will lead to a substantially reduced tonic neuromodulatory influence of signaling molecules, such as dopamine, noradrenaline, and serotonin. Compounding this lack of neuromodulatory influence, the existence of other neurotransmitter systems (other than monoaminergic) also implicated in neuromodulation of network activity via extra-synaptic receptor (tonic) activation (Nakanishi, 1992; ; ), a mechanism of volume transmission (Vizi et al., 2004), are also lost in slice preparations. Such mechanisms of neurotransmission have been implicated for acetylcholine (), glutamate (; Min et al., 1998; Szapiro and Barbour, 2007), GABA (Kullmann, 2000; Mody, 2001; Olah et al., 2009) and many more less familiar messengers, such as hormones and neuropeptides (; Trueta and De-Miguel, 2012). Hence, the complex population dynamics reported in vivo will show much simplified profiles when recorded in vitro, where sub-cortical systems, long-range connectivity and extra-synaptic volume concentrations of various bioactive molecules will no longer play a decisive role in gating the full processing abilities of cortical networks.
For example, neuronal assemblies generated in vivo in various cortical areas (; Rokem et al., 2010; Pinto et al., 2013), show a similar overall activity as their in vitro counterparts, i.e., thalamocortical, somatosensory or visual cortical slices (; Sato et al., 2012; Soma et al., 2012), yet retain more complex profiles, such as large depolarisations accompanied by inhibition that is both spatial (surround inhibition) and temporal (rebound hyperpolarisation), presumably in both cases to enhance the signal-to-noise ratio (Petersen et al., 2003a; ; ). This effect, however, can be abolished by deepening anesthesia, suggesting that it operates a significant physiological function in information processing. Such a notion is further supported by the fact that assemblies can also be dramatically modulated by systemic administration of other bioactive substances, from the silencing effects of anesthetics (; ) to the broad and erratic epileptiform activity induced by agents such as gabazine or bicuculline (Lippert et al., 2007). Moreover, assemblies can become less extensive, in response to identical stimuli, in adult compared with juvenile animals (), further suggesting assemblies are highly dependent on context-specific factors and play a part in on-going functions.
Functions of Neuronal Assemblies
Drawing on data from both in vitro and in vivo studies, a wide range of brain functions can now be better understood by reference to assemblies (von Stein and Sarnthein, 2000; ), from visual processing (Vucinic and Sejnowski, 2007; ; Miller et al., 2014) to impact of depth of anesthesia on evoked sensory responses (), impact of learning-induced plasticity on assembly size and dynamics (), as well as revealing previously unappreciated but basic differences between analgesics, (morphine and gabapentin), and anesthetics, (thiopental and propofol) ().
Yet whilst known functions can be more accurately described in terms of activity patterns, assemblies themselves might be a good starting point for understanding previously elusive functions. Their emergent spatio-temporal profile typically is one of hundreds of milliseconds, a time-course roughly three orders of magnitude greater than the action potential which trigger them – between 0.2 and 0.7 ms (; ): this collective, network-wide output could correspond to one-off, unique brain states, such as eventually a moment of consciousness, for the following reasons. First, neural activity only appears to contribute to a state of consciousness when it is continuous and sustained (): the observed time-windows of activity, lasting several hundred milliseconds, are found to coincide with the time taken for conscious perception of stimuli; which occurs at the crucial threshold of 270 ms (Vogel et al., 1998; Sergent et al., 2005). Secondly anesthetics, which by definition abolish consciousness, significantly retard specific parameters of individual assembly dynamics (such as peak width and termination of activity) both in vitro () and in vivo (). Thirdly, a time window of approximately this length demarcates the earliest spatial differentiation of distinct patterns in assemblies for subjective differentiation of sensory modalities (). Fourthly, the energy will need to be conserved in some chemical, electrical, or thermal form (). In the case of heat, pressure in the neuronal micro-environment will increase, and vice versa: perhaps this could explain why increased pressure and hence an increase in thermal energy, will lead to both the onset of consciousness in anesthetized animals () as well as a significant increase in assembly size (Wlodarczyk et al., 2006). Taken individually, these arguments are each relatively weak for linking neuronal assembly function to consciousness. However, we believe that these findings represent interesting coincidences, which, collectively hint at a possible link.
Rather than single unit activity and isolated synaptic signaling, it is neuronal assemblies that perhaps can be more accurately regarded as the building blocks of the central nervous system (Rinkus, 2010; ; Miller et al., 2014): they provide the all-important link enabling bottom-up cellular events to be realized as top-down functions. Yet little is known about how such translation is possible. A first step will be to understand the mechanisms responsible for the generation and propagation of assemblies themselves; which drive them to spread more extensively in both space and time, thereby granting them much greater informational receptive fields as well as greater time-windows for integration of information and processing, compared to that which traditional neuronal signaling would otherwise permit.
Underlying Mechanisms Governing Assembly Dynamics
Synaptic Transmission
Synaptic transmission is the well-known signature of neuronal signaling with time-frames of information transfer down axons of 0.1–100 m/s, and time-delays for information to cross synapses (at 38°C) of around 150–300 μs (Sabatini and Regehr, 1999). However, some anomalies become immediately evident when comparing assemblies generated in two different, well-established in vitro preparations: first, coronal brain slices where assemblies are evoked using direct electrical stimulation to the cortex (Yuste et al., 1997; Zochowski et al., 2000; Petersen and Sakmann, 2001; ), and secondly, a thalamocortical section (; Takashima et al., 2001; Llinas et al., 2002; ) that enables indirect, remote activation of the cortex region via neuronal innervation resulting from thalamic stimulation. Other studies have also investigated the downstream cortico-cortical connectivity elicited by exogenous activation of the lemniscal pathway, leading for example to active communication between primary somatosensory cortex and motor cortex () or for the purposes of general brain mapping in vivo (Lim et al., 2012).
Direct stimulation with a single electrical pulse evokes activity from an epicenter with fast and efficient recruitment of large numbers of neurons in near-synchronous fashion manifesting as a circular propagating wave of activity spreading outwards from the locus of stimulation (Lopes da Silva, 1991) as seen using VSDI, Figure 1A. This is a stereotypical activation pattern which has been reported in virtually all studied neuronal population systems using VSDI, both in the cortex and sub-cortical structures (), and it is those dynamics which can be modulated with bioactive compounds. Signal propagation via action potentials traveling down axons and activating chemical transmitters at synapses with the neurons it contacts takes just over 1 ms. The speed of action potential propagation varies significantly across circuits in the brain as well as with the distance they travel, but even the slowest signals (traveling through unmyelinated axons) take 0.5 ms to travel 1 mm, while subsequent transmitter release and diffusion across the synaptic cleft is approximated to take just under 0.75 ms. The activation of synapses has been found to decay with time-scales that go from a few ms (e.g., for synapses rich in GABAA and/or AMPA receptors) to 100 ms (for those most influenced by GABAB or NMDA receptors). However, if this was the dominant mechanism at play, given the speed of transmission, the greatest activity would most probably be observed furthest from where the stimulus was received, i.e., at the spreading perimeter (Figure 2A), a configuration which conflicts with the data. Under normal conditions in direct stimulation paradigms, assemblies usually reach maximum lateral spread within 5–6 ms after stimulus delivery (Figure 1B), while by comparison, for remote thalamocortical stimulation (i.e., neuronal activation of cortical tissue), this occurs between 10 and 13 ms after stimulation, as seen in Figure 1C, is delivered to the cortex (i.e., with time delay corrected for impulse conduction time from thalamus to cortex – of the order of 4–5 ms) (Landisman and Connors, 2007); i.e., where assemblies are evoked in a more physiological manner than those triggered with direct electrical stimulation. This scenario suggests that other factors, in addition to traditional synaptic transmission, may be affected by this difference in stimulation paradigm; leading to the emergence of different profiles of activation dynamics and resulting time courses.
FIGURE 1
FIGURE 2

The need for three fundamental mechanisms underlying neuronal assemblies dynamics. (A) Evoked activity in the somatosensory barrel field cortex (S1BF) measured with VSDI (left) compared with a simulation of a two-dimensional network of spiking neurons subject to the same central stimulus, which is applied for a very short duration (0.1 ms), and where activity spreads due to synaptic transmission alone. Refer to Supplementary Materials for all methods of data modeling. (B) Comparison of assembly spread between PFC and S1BF data (PFC and somatosensory – black line) and simulation with passive diffusion only (red lines): the diffusion profile from simulations can be considered an upper edge for diffusion speed: we simulated 5 × 105 neurotransmitters released at position 0 and considered half a dozen neurons surrounding the releasing origin that acted like sinks; in reality there are far more neighboring neurons to up-take the neurotransmitters so that diffusion is bound to be slower than what estimated with this proof-of-concept experiment. (C) Spatial and velocity profile of an assembly in somatosensory (S1BF) cortex: we plot the rate of spread (velocity) of an assembly as a function of time (left) and its inverse against space (right), which we compare with the electromagnetic (EM) prediction (see text). (D) Dendrites (top left) can release bioactive agents independent of action potential generation, and diffuse broadly affecting sub-threshold dynamics. Synaptic transmission (top right) is the process by which a neuron releases an action potential after the electrochemical gradient between inside and outside the cell has been inverted by incoming currents. At the synapse, the action potential triggers the diffusion of neurotransmitters, which open ion channels in the post-synaptic dendrites. Gap junctions are a direct electrical link between two cells and allow ions currents. Together with the time variability of the stimulus, electrotonic spread favors the onset of self-sustained electromagnetic waves (bottom), which excite neighboring neurons faster and more widely than synaptic transmission alone.
In terms of time, it takes some 300 ms for decay of assembly activity to fall to even 20% of its maximum strength (
The second and more plausible option as the underlying dominant process, and one in any case that is preferentially detectable with voltage sensitive dyes (
Volume Transmission
Volume transmission enables interaction between neurons in a way that is much less specific and significantly slower, yet with the pay-off that it involves far more cells at any one time: it is considered a complementary counterpart to classic synaptic “wired” transmission (
Electromagnetic Transmission
Electrotonic spread via gap junctions (
The existence of an electrochemical gradient across neuronal cell membranes generates a small electric field (
The mechanism by which radiation can excite neuronal activity, to the point of remotely triggering action potentials, is not unfamiliar (
In conclusion, disparate empirical findings both in vivo and in vitro could most readily be accommodated theoretically in the integration of three distinct signaling mechanisms over an epoch of some 250–300 ms (Figure 2D). As such, this approach to analyzing brain operations at the meso-scale would have the potential for a more accurate modeling of drug action and more generally a quantification of holistic brain states with a temporal and spatial resolution commensurate with neurophysiological and neurochemical events.
Statements
Author contributions
A-SB is responsible for the data of Figure 1 and presentation of Figures 1 and 2; FF is responsible for the data of Figure 2. SG provided the original idea as well as background material. All authors contributed to the preparation, writing, and proof-reading of the manuscript.
Funding
The work presented here was funded by the Mind Science Foundation and the European Society of Anaesthesiology (ESA).
Acknowledgments
The authors would like to thank Magnus Richardson for valuable discussion regarding the EIF model.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
The reviewers NM and AS and handling Editor declared their shared affiliation, and the handling Editor states that the process nevertheless met the standards of a fair and objective review.
Supplementary material
The Supplementary Material for this article can be found online at: http://journal.frontiersin.org/article/10.3389/fncir.2016.00114/full#supplementary-material
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Summary
Keywords
neuronal assemblies, synaptic transmission, volume transmission, gap junctions
Citation
Badin A-S, Fermani F and Greenfield SA (2017) The Features and Functions of Neuronal Assemblies: Possible Dependency on Mechanisms beyond Synaptic Transmission. Front. Neural Circuits 10:114. doi: 10.3389/fncir.2016.00114
Received
03 August 2016
Accepted
22 December 2016
Published
10 January 2017
Volume
10 - 2016
Edited by
Edward S. Ruthazer, McGill University, Canada
Reviewed by
Amir Shmuel, McGill University, Canada; Naguib Mechawar, Douglas Mental Health University Institute, Canada
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© 2017 Badin, Fermani and Greenfield.
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*Correspondence: Antoine-Scott Badin, scott.badin@neuro-bio.com
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