The spatiotemporal representation of neural activity during rest and upon sensory stimulation in cortical areas is highly dynamic and may be predominantly governed by cortical state. On the mesoscale level, intrinsic neuronal activity ranges from a persistent state, generally associated with a sustained depolarization of neurons, to a bimodal, slow wave-like state with bursts of neuronal activation alternating with silent periods. These different activity states are prevalent under certain types of sedatives or are associated with spe-cific behavioral or vigilance conditions. Neurophysiological experiments assessing circuit activity usually assume a constant underlying state, yet reports of variability of neuronal responses under seemingly constant conditions are common in the field. Even when a cer-tain type of neural activity or cortical state can be stably maintained over time, the associated response properties are highly relevant for explaining experimental outcomes. Here we describe the spatiotemporal characteristics of ongoing activity and sensory-evoked responses under two predominant functional states in the sensory cortices of mice: persistent activity (PA) and slow wave activity (SWA). Using electrophysiological recordings and local and wide -field calcium recordings, we examine whether spontaneous and sen-sory-evoked neuronal activity propagate throughout the cortex in a state-dependent manner. We find that PA and SWA differ in their spatiotemporal characteristics, which determine the cortical network's response to a sensory stimulus. During PA state, sensory stimu-lation elicits gamma-based short-latency responses that precisely follow each stimulation pulse and are prone to adaptation upon higher stimulation frequencies. Sensory responses during SWA are more variable, dependent on refractory periods following sponta-neous slow waves. Although spontaneous slow waves propagated in anterior-posterior direction in a majority of observations, the direction of propagation of stimulus-elicited wave depends on the sensory modality. These findings suggest that cortical state explains variance and should be considered when investigating multiscale correlates of functional neurocircuit activity.NEW & NOTEWORTHY Here we dissect the cortical representation of brain states based on local photometry recordings and on mesoscale cortical calcium imaging, complemented by electrophysiological recordings in mice. We identify two distinct func-tional states in the sensory cortices, which differ in their spatiotemporal characteristics on the local and global cortical scales. We examine how intrinsic and stimulus-evoked neuronal activity propagates throughout the cortex in a state-dependent manner, supporting the notion that cortical state is a relevant variable to consider for a wide range of neurophysiological experiments.

Spontaneous electrical activity plays major roles in the development of cortical circuitry. This activity can occur highly localized regions or can propagate over the entire cortex. Both types of activity coexist during early development. To investigate how different forms of spontaneous activity might be temporally segregated, we used wide-field trans-cranial calcium imaging over an entire hemisphere in P1-P8 mouse pups. We found that spontaneous waves of activity that propagate to cover the majority of the cortex (large-scale waves; LSWs) are generated at the end of the first postnatal week, along with several other forms of more localized activity. We further found that LSWs are segregated into sleep cycles. In contrast, cortical activity during wake states is more spatially restricted and the few large-scale forms of activity that occur during wake can be distinguished from LSWs in sleep based on their initiation in the motor cortex and their correlation with body movements. This change in functional cortical circuitry to a state that is permissive for large-scale activity may temporally segregate different forms of activity during critical stages when activity-dependent circuit development occurs over many spatial scales. Our data also suggest that LSWs in early development may be a functional precursor to slow sleep waves in the adult, which play critical roles in memory consolidation and synaptic rescaling.

Widefield calcium imaging has recently emerged as a powerful experimental technique to record coordinated large-scale brain activity. These measurements present a unique opportunity to characterize spatiotemporally coherent structures that underlie neural activity across many regions of the brain. In this work, we leverage analytic techniques from fluid dynamics to develop a visualization framework that highlights features of flow across the cortex, mapping wavefronts that may be correlated with behavioural events. First, we transform the time series of widefield calcium images into time-varying vector fields using optic flow. Next, we extract concise diagrams summarizing the dynamics, which we refer to as FLOW (flow lines in optical widefield imaging) portraits . These FLOW portraits provide an intuitive map of dynamic calcium activity, including regions of initiation and termination, as well as the direction and extent of activity spread. To extract these structures, we use the finite-time Lyapunov exponent technique developed to analyse time-varying manifolds in unsteady fluids. Importantly, our approach captures coherent structures that are poorly represented by traditional modal decomposition techniques. We demonstrate the application of FLOW portraits on three simple synthetic datasets and two widefield calcium imaging datasets, including cortical waves in the developing mouse and spontaneous cortical activity in an adult mouse.

Spontaneous activity in the developing brain helps refine neuronal connections before the arrival of sensory-driven neuronal activity. In mouse neocortex during the first postnatal week, waves of spontaneous activity originating from pacemaker regions in the septal nucleus and piriform cortex propagate through the neocortex. Using high-speed Ca(2+) imaging to resolve the spatiotemporal dynamics of wave propagation in parasagittal mouse brain slices, we show that the hippocampus can act as an additional source of neocortical waves. Some waves that originate in the hippocampus remain restricted to that structure, while others pause at the hippocampus-neocortex boundary and then propagate into the neocortex. Blocking GABAergic neurotransmission decreases the likelihood of wave propagation into neocortex, whereas blocking glutamatergic neurotransmission eliminates spontaneous and evoked hippocampal waves. A subset of hippocampal and cortical waves trigger Ca(2+) waves in astrocytic networks after a brief delay. Hippocampal waves accompanied by Ca(2+) elevation in astrocytes are more likely to propagate into the neocortex. Finally, we show that two structures in our preparation that initiate waves-the hippocampus and the piriform cortex-can be electrically stimulated to initiate propagating waves at lower thresholds than the neocortex, indicating that the intrinsic circuit properties of those regions are responsible for their pacemaker function.

Cortical development involves initial structuring of network features genetically programmed signaling pathways. Later, ion channel activity helps refine neuronal connections. In this study we examine propagating waves of activity in a mouse genetically engineered to lack the transcription factor T‐box, brain 1 (Tbr1), which is involved in the differentiation of cortical excitatory neurons and cortical patterning. Using calcium imaging, we find that wave activity appears at normal frequencies. Additionally we examine the distribution of cortical inhibitory neurons in Tbr1 deficient cortex using red‐fluorescent‐protein (RFP), and find that these neurons are displaced similarly to what is observed in reeler mice. Sensitivity of waves to blockade of GABA signaling is preserved in Tbr1 deficient mice. Finally, we show using dual green and red‐channel imaging of calcium indicator dye and RFP fluorescence, respectively, that inhibitory interneurons participate in spontaneous calcium signaling at normal frequencies in Tbr1 deficient mice. We identify two distinct types of spontaneous calcium signals: one that is consistent with wave activity, and another that is restricted to single cells and not correlated with neighboring cells, and sensitive to blockers of L‐type calcium channels. These results provide evidence that wave activity is a robust property of developing networks, and establish new methods of recording calcium signals from genetically labeled cell populations. We identify distinct calcium signals in immature interneurons that may serve separate purposes in development.

ABSTRACT Cortical development involves the structuring of network features by genetically programmed molecular signaling pathways. Additionally, spontaneous ion channel activity refines neuronal connections. We examine Ca 2+ fluctuations in the first postnatal week of normal mouse neocortex and that expressing knockout of the transcription factor T‐brain‐1 ( Tbr1 ): a signaling molecule in cortical patterning and differentiation of excitatory neurons. In cortex, glutamatergic neurons express Tbr1 just before the onset of population electrical activity that is accompanied by intracellular Ca 2+ increases. It is known that glutamatergic cells are disordered with Tbr1 KO such that normal laying of the cortex, with newer born cells residing in superficial layers, does not occur. However, the fate of cortical interneurons is not well studied, nor is the ability of Tbr1 deficient cortex to express normal physiological activity. Using fluorescent proteins targeted to interneurons, we find that cortical interneurons are also disordered in the Tbr1 knockout. Using Ca 2+ imaging we find that population activity in mutant cortex occurs at normal frequencies with similar sensitivity to GABA A receptor blockade as in nonmutant cortex. Finally, using multichannel fluorescence imaging of Ca 2+ indicator dye and interneurons labeled with red fluorescent protein, we identify an additional Ca 2+ signal in interneurons distinct from population activity and with different pharmacological sensitivities. Our results show the population activity described here is a robust property of the developing network that continues in the absence of an important signaling molecule, Tbr1 , and that cortical interneurons generate distinct forms of activity that may serve different developmental functions. © 2015 Wiley Periodicals, Inc. Develop Neurobiol 76: 705–720, 2016

Spontaneous synchronous activity (SSA) that propagates as electrical waves is found in numerous central nervous system structures and is critical for normal development, but the mechanisms of generation of such activity are not clear. In previous work, we showed that the ventrolateral piriform cortex is uniquely able to initiate SSA in contrast to the dorsal neocortex, which participates in, but does not initiate, SSA (Lischalk JW, Easton CR, Moody WJ. Dev Neurobiol 69: 407-414, 2009). In this study, we used Ca2+ imaging of cultured embryonic day 18 to postnatal day 2 coronal slices (embryonic day 17 + 1-4 days in culture) of the mouse cortex to investigate the different activity patterns of individual neurons in these regions. In the piriform cortex where SSA is initiated, a higher proportion of neurons was active asynchronously between waves, and a larger number of groups of coactive cells was present compared with the dorsal cortex. When we applied GABA and glutamate synaptic antagonists, asynchronous activity and cellular clusters remained, while synchronous activity was eliminated, indicating that asynchronous activity is a result of cell-intrinsic properties that differ between these regions. To test the hypothesis that higher levels of cell-autonomous activity in the piriform cortex underlie its ability to initiate waves, we constructed a conductance-based network model in which three layers differed only in the proportion of neurons able to intrinsically generate bursting behavior. Simulations using this model demonstrated that a gradient of intrinsic excitability was sufficient to produce directionally propagating waves that replicated key experimental features, indicating that the higher level of cell-intrinsic activity in the piriform cortex may provide a substrate for SSA generation.

1 Title: Relationship between individual neuron and network spontaneous activity in developing 1 mouse cortex 2 3 Authors: 4 Heather M. Barnett 5 Julijana Gjorgjieva 6 Keiko Weir 7 Cara Comfort 8 Adrienne L. Fairhall 9 William J. Moody 10 11 Affiliation: 12 Department of Physiology and Biophysics, University of Washington 13 Center for Brain Science, Harvard University 14 Department of Biology, University of Washington 15 Department of Bioengineering, University of Washington 16 Undergraduate Neurobiology Program, University of Washington 17 18 Running Head: Individual neuron and network spontaneous activity 19 20 Address for Correspondence: Correspondence should be addressed to Dr. William J. Moody, 21 Department of Biology, University of Washington, Seattle, WA 98195. 22 profbill@u.washington.edu 23 24 Phone: (206)-295-7794 25 Fax: (206)-543-3041 26 27

Many structures of the mammalian CNS generate propagating waves of electrical activity early in development. These waves are essential to CNS development, mediating a variety of developmental processes, such as axonal outgrowth and pathfinding, synaptogenesis, and the maturation of ion channel and receptor properties. In the mouse cerebral cortex, waves of activity occur between embryonic day 18 and postnatal day 8 and originate in pacemaker circuits in the septal nucleus and the piriform cortex. Here we show that genetic knock-out of the major synthetic enzyme for GABA, GAD67, selectively eliminates the picrotoxin-sensitive fraction of these waves. The waves that remain in the GAD67 knock-out have a much higher probability of propagating into the dorsal neocortex, as do the picrotoxin-resistant fraction of waves in controls. Field potential recordings at the point of wave initiation reveal different electrical signatures for GABAergic and glutamatergic waves. These data indicate that: (1) there are separate GABAergic and glutamatergic pacemaker circuits within the piriform cortex, each of which can initiate waves of activity; (2) the glutamatergic pacemaker initiates waves that preferentially propagate into the neocortex; and (3) the initial appearance of the glutamatergic pacemaker does not require preceding GABAergic waves. In the absence of GAD67, the electrical activity underlying glutamatergic waves shows greatly increased tendency to burst, indicating that GABAergic inputs inhibit the glutamatergic pacemaker, even at stages when GABAergic pacemaker circuitry can itself initiate waves.

Diverse ion channels and their dynamics endow single neurons with complex biophysical properties. These properties determine the heterogeneity of cell types that make up the brain, as constituents of neural circuits tuned to perform highly specific computations. How do biophysical properties of single neurons impact network function? We study a set of biophysical properties that emerge in cortical neurons during the first week of development, eventually allowing these neurons to adaptively scale the gain of their response to the amplitude of the fluctuations they encounter. During the same time period, these same neurons participate in large-scale waves of spontaneously generated electrical activity. We investigate the potential role of experimentally observed changes in intrinsic neuronal properties in determining the ability of cortical networks to propagate waves of activity. We show that such changes can strongly affect the ability of multi-layered feedforward networks to represent and transmit information on multiple timescales. With properties modeled on those observed at early stages of development, neurons are relatively insensitive to rapid fluctuations and tend to fire synchronously in response to wave-like events of large amplitude. Following developmental changes in voltage-dependent conductances, these same neurons become efficient encoders of fast input fluctuations over few layers, but lose the ability to transmit slower, population-wide input variations across many layers. Depending on the neurons' intrinsic properties, noise plays different roles in modulating neuronal input-output curves, which can dramatically impact network transmission. The developmental change in intrinsic properties supports a transformation of a networks function from the propagation of network-wide information to one in which computations are scaled to local activity. This work underscores the significance of simple changes in conductance parameters in governing how neurons represent and propagate information, and suggests a role for background synaptic noise in switching the mode of information transmission.

Adaptation is a fundamental computational motif in neural processing. To maintain stable perception in the face of rapidly shifting input, neural systems must extract relevant information from background fluctuations under many different contexts. Many neural systems are able to adjust their input-output properties such that an input's ability to trigger a response depends on the size of that input relative to its local statistical context. This "gain-scaling" strategy has been shown to be an efficient coding strategy. We report here that this property emerges during early development as an intrinsic property of single neurons in mouse sensorimotor cortex, coinciding with the disappearance of spontaneous waves of network activity, and can be modulated by changing the balance of spike-generating currents. Simultaneously, developing neurons move toward a common intrinsic operating point and a stable ratio of spike-generating currents. This developmental trajectory occurs in the absence of sensory input or spontaneous network activity. Through a combination of electrophysiology and modeling, we demonstrate that developing cortical neurons develop the ability to perform nearly perfect gain scaling by virtue of the maturing spike-generating currents alone. We use reduced single neuron models to identify the conditions for this property to hold.

In order to understand information processing in neural circuits, it is necessary to detect both electrical and chemical signaling with high spatial and temporal resolution. Although the primary currency of neural information processing is electrical, many of the downstream effects of the electrical signals on the circuits that generate them are dependent on activity-dependent increases in intracellular calcium concentration. It is therefore of great utility to be able to record electrical signals in neural circuits at multiple sites, while at the same time detecting optical signals from reporters of intracellular calcium levels. We describe here a microfluidic multi-electrode array (MMEA) capable of high-resolution extracellular recording from brain slices that is optically compatible with calcium imaging at single cell resolution. We show the application of the MMEA device to record waves of spontaneous activity in developing cortical slices and to perform multi-site extracellular recordings during simultaneous calcium imaging of activity. The MMEA has the unique capability to simultaneously allow focal electrical and chemical stimuli at different locations of the surface of a brain slice.

Here we look back over studies of Dr. Kunitaro Takahashi who passed away in 9th May 2011. He started his career studying the neurophysiology of mammalian cortical neurons and later established the simplest model of neural induction using embryos of ascidians, the most primitive of the chordates. By tracing back to the species with intimate kinship to the evolutional ancestor of vertebrates, his detailed studies of ion channel development in ontogeny, can inform us of the most basic properties of how the embryonic nervous system is created.

Summary:Many neural systems are equipped with mechanisms to efficiently encode sensory information. To represent natural stimuli with time-varying statistical properties, neural systems should adjust their gain to the inputs' statistical distribution. Such matching of dynamic range to input statistics has been shown to maximize the information transmitted by the output spike trains (Brenner et al., 2000, Fairhall et al., 2001). Gain scaling has not only been observed as a system response property, but also in single neurons in developing somatosensory cortex stimulated with currents of different amplitude (Mease et al., 2010). While gain scaling holds for cortical neurons at the end of the first post-natal week, at birth these neurons lack this property. The observed improvement in gain scaling coincides with the disappearance of spontaneous waves of activity in cortex (Conheim et al., 2010).We studied how single-neuron gain scaling affects the dynamics of signal transmission in networks, using the developing cortex as a model. In a one-layer feedforward network, we showed that the absence of gain control made the network relatively insensitive to uncorrelated local input fluctuations. As a result, these neurons selectively and synchronously responded to large slowly-varying correlated input--the slow build up of synaptic noise generated in pacemaker circuits which most likely triggers waves. Neurons in gain scaling networks were more sensitive to the small-scale input fluctuations, and responded asynchronously to the slow envelope. Thus, gain scaling both increases information in individual neurons about private inputs and allows the population average to encode the slow fluctuations in the input. Paradoxically, the synchronous firing that corresponds to wave propagation is associated with low information transfer. We therefore suggest that the emergence of gain scaling may help the system to increase information transmission on multiple timescales as sensory stimuli become important later in development. Methods: Networks with one and two layers consisting of hundreds of model neurons were constructed. The ability of single neurons to gain scale was controlled by changing the ratio of sodium to potassium conductances in Hodgkin-Huxley neurons (Mainen et al., 1995). The response of single layer networks was studied with ramp-like stimuli with slopes that varied over several hundreds of milliseconds. Fast fluctuations were superimposed on this slowly-varying mean. Then the response to these networks was tested with continuous stimuli. Gain scaling networks captured the slow fluctuations in the inputs, while non-scaling networks simply thresholded the input. Quantifying information transmission confirmed that gain scaling neurons transmit more information about the stimulus. With the two-layer networks we simulated a cortical network where waves could spontaneously emerge, propagate and degrade, based on the gain scaling properties of the neurons in the network.

Waves of spontaneous electrical activity propagate across many regions of the central nervous system during specific stages of early development. The patterns of wave propagation are critical in the activation of many activity-dependent developmental programs. It is not known how the mechanisms that initiate and propagate spontaneous waves operate during periods in which major changes in neuronal structure and function are taking place. We have recently reported that spontaneous waves of activity propagate across the neonatal mouse cerebral cortex and that these waves are initiated at pacemaker sites in the septal nucleus and ventral cortex. Here we show that spontaneous waves occur between embryonic day 18 (E18) and postnatal day 12 (P12), and that during that period they undergo major changes in transmitter dependence and propagation patterns. At early stages, spontaneous waves are largely GABA dependent and are mostly confined to the septum and ventral cortex. As development proceeds, wave initiation depends increasingly on AMPA-type glutamate receptors, and an ever increasing fraction of waves propagate into the dorsal cortex. The initiation sites and restricted propagation of waves at early stages are highly correlated with the position of GABAergic neurons in the cortex. The later switch to a glutamate-based mechanism allows propagation of waves into the dorsal cortex, and appears to be a compensatory mechanism that ensures continued wave generation even as GABA transmission becomes inhibitory.

Spontaneous waves of activity that propagate across large structures during specific developmental stages play central roles in CNS development. To understand the genesis and functions of these waves, it is critical to understand the spatial and temporal patterns of their propagation. We recently reported that spontaneous waves in the neonatal cerebral cortex originate from a ventrolateral pacemaker region. We have now analyzed a large number of spontaneous waves using calcium imaging over the entire area of coronal slices from E18-P1 mouse brains. In all waves, the first cortical region active is this ventrolateral pacemaker. In half of the waves, however, the cortical pacemaker activity is itself triggered by preceding activity in the septal nuclei. Most waves are restricted to the septum and/or ventral cortex, with only some invading the dorsal cortex or the contralateral hemisphere. Waves fail to propagate at very stereotyped locations at the boundary between ventral and dorsal cortex and at the dorsal midline. Waves that cross these boundaries pause at these same locations. Waves at these stages are blocked by both picrotoxin and CNQX, indicating that both GABA(A) and AMPA receptors are involved in spontaneous activity.

The second messenger cyclic guanosine monophosphate (cGMP) plays many roles during nervous system development. Consequently, cGMP production shows complex patterns of regulation throughout early development. Elevated glutamate levels are known to increase cGMP levels in the mature nervous system. A number of clinical conditions including ischemia and perinatal asphyxia can result in elevated glutamate levels in the developing brain. To investigate the effects of elevated glutamate levels on cGMP in the developing cortex we exposed mouse brain slices to glutamate or N ‐methyl D ‐aspartate (NMDA). We find that at early postnatal stages when the endogenous production of cGMP is high, glutamate or NMDA exposure results in a significant lowering of the overall production of cGMP in the cortex, unlike the situation in the mature brain. However, this response pattern is complex with regional and cell‐type specific exceptions to the overall lowered cGMP production. These data emphasize that the response of the developing brain to physiological disturbances can be different from that of the mature brain, and must be considered in the context of the developmental events occurring at the time of disturbance. © 2009 Wiley Periodicals, Inc. Develop Neurobiol, 2009

Spontaneous electrical activity that moves in synchronized waves across large populations of neurons plays widespread and important roles in nervous system development. The propagation patterns of such waves can encode the spatial location of neurons to their downstream targets and strengthen synaptic connections in coherent spatial patterns. Such waves can arise as an emergent property of mutually excitatory neural networks, or can be driven by a discrete pacemaker. In the mouse cerebral cortex, spontaneous synchronized activity occurs for approximately 72 h of development centered on the day of birth. It is not known whether this activity is driven by a discrete pacemaker or occurs as an emergent network property. Here we show that this activity propagates as a wave that is initiated at either of two homologous pacemakers in the temporal region, and then propagates rapidly across both sides of the brain. When these regions of origin are surgically isolated, waves do not occur. Therefore, this cortical spontaneous activity is a bilateral wave that originates from a discrete subset of pacemaker neurons. © 2009 Wiley Periodicals, Inc. Develop Neurobiol, 2009

Spontaneous, synchronized electrical activity (SSA) plays important roles in nervous system development, but it is not clear what causes it to start and stop at the appropriate times. In previous work, we showed that when SSA in neonatal mouse cortex is blocked by TTX in cultured slices during its normal time of occurrence (E17-P3), it fails to stop at P3 as it does in control cultured slices, but instead persists through at least P10. This indicates that SSA is self-extinguishing. Here we use whole-cell recordings and [Ca2+]i imaging to compare control and TTX-treated slices to isolate the factors that normally extinguish SSA on schedule. In TTX-treated slices, SSA bursts average 4 s in duration, and have two components. The first, lasting about 1 s, is mediated by AMPA receptors; the second, which extends the burst to 4 s and is responsible for most of the action potential generation during the burst, is mediated by NMDA receptors. In later stage (P5-P9) control slices, after SSA has declined to about 4% of its peak frequency, bursts lack this long NMDA component. Blocking this NMDA component in P5-P9 TTX-treated slices reduces SSA frequency, but not to the low values found in control slices, implying that additional factors help extinguish SSA. GABA(A) inhibitors restore SSA in control slices, indicating that the emergence of GABA(A)-mediated inhibition is another major factor that helps terminate SSA.