Axon Collaterals Research Articles

Quantitative spatial analysis reveals that the local axons of lamina I projection neurons and interneurons exhibit distributions that predict distinct roles in spinal sensory processing.

Our knowledge about the detailed wiring of neuronal circuits in the spinal dorsal horn (DH), where initial sensory processing takes place, is still very sparse. While a substantial amount of data is available on the somatodendritic morphology of DH neurons, the laminar and segmental distribution patterns and consequential function of individual axons are much less characterized. In the present study, we fully reconstructed the axonal and dendritic processes of 10 projection neurons (PNs) and 15 interneurons (INs) in lamina I of the rat, to reveal quantitative differences in their distribution. We also performed whole-cell patch-clamp recordings to test the predicted function of certain axon collaterals. In line with our earlier qualitative description, we found that lamina I INs in the lateral aspect of the superficial DH send axon collaterals toward the medial part and occupy mostly laminae I-III, providing anatomical basis for a lateromedial flow of information within the DH. Local axon collaterals of PNs were more extensively distributed including dorsal commissural axon collaterals that might refer to those reported earlier linking the lateral aspect of the left and right DHs. PN collaterals dominated the dorsolateral funiculus and laminae IV-VI, suggesting propriospinal and ventral connections. Indeed, patch-clamp recordings confirmed the existence of a dorsoventral excitatory drive upon activation of neurokinin-1 receptors that, although being expressed in various lamina I neurons, are specifically enriched in PNs. In summary, lamina I PNs and INs have almost identical dendritic input fields, while their segmental axon collateral distribution patterns are distinct. INs, whose somata reside in lamina I, establish local connections, may show asymmetry, and contribute to bridging the medial and lateral halves of the DH. PNs, on the other hand, preferably relay their integrated dendritic input to deeper laminae of the spinal gray matter where it might be linked to other ascending pathways or the premotor network, resulting in a putative direct contribution to the nociceptive withdrawal reflex.

Local targets of T-stellate cells in the ventral cochlear nucleus.

T‐stellate cells in the ventral cochlear nucleus (VCN) are known to have local axon collaterals that terminate in the vicinity of their dendrites and cell bodies within the same isofrequency lamina in parallel with the auditory nerve fibers that innervate them. Excitatory synaptic connections between stellate cells within an isofrequency lamina are hypothesized to be involved in the nitric oxide‐mediated upregulation of T‐stellate responses to their auditory input. This could serve as a mechanism of variable gain control in the enhancement of responses to vowel spectral peaks. Previous studies have provided indirect evidence for these possible synaptic interconnections between T‐stellate cells, but unequivocal identification has yet to be established. Here, we used retrograde neuronal tracing with adeno‐associated viral vector or biotinylated dextran amine injected into the inferior colliculus (IC) to detect the postsynaptic target of T‐stellate cells within the VCN. We show that backfilled T‐stellate cell axons make monosynapatic connections on the labeled cell bodies and dendrites of other labeled T‐stellate cells within an isofrequency lamina. Electron microscopy revealed that T‐stellate terminals can also make synapses on structures not retrogradely labeled from the IC. Glycine antibodies combined with the viral labeling indicated that these nonbackfilled structures that the labeled T‐stellate terminals were synapsing on are most likely the cell bodies and dendrites of two size categories of glycinergic VCN cells, whose sizes and relative numbers indicated they are the D‐ and L‐stellate cells. These cells are known to provide inhibitory inputs back onto T‐stellate cells. Our data indicate that, in addition to their auditory nerve input, T‐stellate cells provide a second modulatable excitatory input to both inhibitory and excitatory cells in a VCN isofrequency lamina and may play a significant role in acoustic information processing.

Central projections of cercal giant interneurons in the adult field cricket, Gryllus bimaculatus.

The structures of neurons, such as dendrites and axonal projections, are closely related to their response properties and their specific functions in neural circuits. Identified neurons, having genetically determined morphological features and pre- and postsynaptic partners, play significant roles in specific behaviors. Giant interneurons (GIs) are identified in the terminal abdominal ganglion of the cricket as mechanosensory projection neurons and are sensitive to airflow stimulation of the cerci. GIs are classified into ventral GIs (vGIs) or dorsal GIs (dGIs) depending on the location of their axons running within the connective nerve cord. Based on their response properties to airflow, vGIs are presumed to be involved in triggering the wind-elicited escape response, whereas dGIs are thought to be airflow direction-encoding neurons. The previous findings regarding airflow sensitivity point to possible differences in the morphology of the central projections that may correspond to their neural functions. However, the detailed morphologies of the GIs in the cephalic and thoracic ganglia of adult crickets remain unclear. In this study, we stained six GIs, namely, GI 8-1 (medial giant interneuron, MGI), 9-1 (lateral giant interneuron, LGI), 9-2, 9-3, 10-2, and 10-3, using intracellular iontophoretic or pressure injection of dyes. Staining revealed remarkable differences in the axonal branching patterns between vGIs and dGIs. The dGIs were further divided into subgroups based on the profiles of their axon collaterals and projection sites in the brain. The anatomical differences between the GIs' central projections seemed to be related to their information encodement and behavioral functions.

Multiscale modeling of presynaptic dynamics from molecular to mesoscale.

Chemical synapses exhibit a diverse array of internal mechanisms that affect the dynamics of transmission efficacy. Many of these processes, such as release of neurotransmitter and vesicle recycling, depend strongly on activity-dependent influx and accumulation of Ca2+. To model how each of these processes may affect the processing of information in neural circuits, and how their dysfunction may lead to disease states, requires a computationally efficient modelling framework, capable of generating accurate phenomenology without incurring a heavy computational cost per synapse. Constructing a phenomenologically realistic model requires the precise characterization of the timing and probability of neurotransmitter release. Difficulties arise in that functional forms of instantaneous release rate can be difficult to extract from noisy data without running many thousands of trials, and in biophysical synapses, facilitation of per-vesicle release probability is confounded by depletion. To overcome this, we obtained traces of free Ca2+ concentration in response to various action potential stimulus trains from a molecular MCell model of a hippocampal Schaffer collateral axon. Ca2+ sensors were placed at varying distance from a voltage-dependent calcium channel (VDCC) cluster, and Ca2+ was buffered by calbindin. Then, using the calcium traces to drive deterministic state vector models of synaptotagmin 1 and 7 (Syt-1/7), which respectively mediate synchronous and asynchronous release in excitatory hippocampal synapses, we obtained high-resolution profiles of instantaneous release rate, to which we applied functional fits. Synchronous vesicle release occurred predominantly within half a micron of the source of spike-evoked Ca2+ influx, while asynchronous release occurred more consistently at all distances. Both fast and slow mechanisms exhibited multi-exponential release rate curves, whose magnitudes decayed exponentially with distance from the Ca2+ source. Profile parameters facilitate on different time scales according to a single, general facilitation function. These functional descriptions lay the groundwork for efficient mesoscale modelling of vesicular release dynamics.

Single-neuron projectome of mouse prefrontal cortex.

Prefrontal cortex (PFC) is the cognitive center that integrates and regulates global brain activity. However, the whole-brain organization of PFC axon projections remains poorly understood. Using single-neuron reconstruction of 6,357 mouse PFC projection neurons, we identified 64 projectome-defined subtypes. Each of four previously known major cortico-cortical subnetworks was targeted by a distinct group of PFC subtypes defined by their first-order axon collaterals. Further analysis unraveled topographic rules of soma distribution within PFC, first-order collateral branch point-dependent target selection and terminal arbor distribution-dependent target subdivision. Furthermore, we obtained a high-precision hierarchical map within PFC and three distinct functionally related PFC modules, each enriched with internal recurrent connectivity. Finally, we showed that each transcriptome subtype corresponds to multiple projectome subtypes found in different PFC subregions. Thus, whole-brain single-neuron projectome analysis reveals organization principles of axon projections within and outside PFC and provides the essential basis for elucidating neuronal connectivity underlying diverse PFC functions.

CRMP2 modulates mossy fiber sprouting in dentate gyrus of pilocarpine induced rat model of epilepsy

As a hallmark of epilepsy, mossy fiber sprouting was regarded as an ideal mode to study neural rewiring upon injury. The process of mossy fiber sprouting constitutes key steps for neural circuit formation, including axon collateral formation and outgrowth, reversed pathfinding and synapse connection. The canonical function of CRMP2 is to promote neurite/axon outgrowth via binding to tubulin heterodimers, which is mainly regulated by its phosphorylation state. CRMP2 expression and phosphorylation were reported to change in medial temporal epilepsy patients and animal modes of epilepsy. As a novel anti-epilepsy drug, Lacosamide is able to impair CRMP2 mediated tubulin polymerization. Previous studies suggested possible roles of CRMP2 in mossy fiber sprouting. Here, we provide direct evidence to support the role of CRMP2 in the process of mossy fiber sprouting in an animal model of epilepsy. We found that CRMP2 phosphorylation was downregulated specifically in the hippocampus during latent phase of epileptic rats. In addition, with the reduction of CRMP2 expression levels in dentate gyrus by CRMP2 shRNA, we observed decreased mossy fiber sprouting in these CRMP2 knockdown rats. Our results demonstrated that CRMP2 modulates mossy fiber sprouting in dentate gyrus of pilocarpine induced rat model of epilepsy.

Noradrenergic substrates sensing light within brainstem reticular formation as targets for light-induced behavioral and cardiovascular plasticity.

The occurrence of pure light exerts a variety of effects in the human body, which span from behavioral alterations, such as light-driven automatic motor activity, cognition and mood to more archaic vegetative functions, which encompass most organs of the body with remarkable effects on the cardiovascular system. Although empirical evidence clearly indicates occurrence of these widespread effects, the anatomical correlates and long-lasting changes within putatively specific neuronal circuitries remain largely unexplored. A specific role is supposed to take place for catecholamine containing neurons in the core of the brainstem reticular formation, which produces a widespread release of noradrenaline in the forebrain while controlling the vegetative nervous system. An indirect as well as a direct (mono-synaptic) retino-brainstem pathway is hypothesized to rise from a subtype of intrinsically photosensitive retinal ganglion cells (iPRGCs), subtype M1, which do stain for Brn3b, and project to the pre-tectal region (including the olivary pre-tectal nucleus). This pathway provides profuse axon collaterals, which spread to the periacqueductal gray and dorsal raphe nuclei. According to this evidence, a retino-reticular monosynaptic system occurs, which powerfully modulate the noradrenergic hub of reticular nuclei in the lateral column of the brainstem reticular formation. These nuclei, which are evidenced in the present study, provide the anatomical basis to induce behavioral and cardiovascular modulation. The occurrence of a highly interconnected network within these nuclei is responsible for light driven plastic effects, which may alter persistently behavior and vegetative functions as the consequence of long-lasting alterations in the environmental light stimulation of the retina. These changes, which occur within the core of an archaic circuitry such as the noradrenaline-containing neurons of the reticular formation, recapitulate, within the CNS, ancestral effects of light-driven changes, which can be detected already within the retina itself at the level of multipotent photic cells.

Comment, au fil du temps, l’ocytocine est devenue l’hormone de l’attachement

Oxytocin is a pleiotropic molecule which, in addition to its facilitating action during parturition and milk ejection, is involved in social and prosocial behaviors such as attachment. This article presents, after a brief historical review, the action of oxytocin during the milk ejection reflex. Oxytocin is indeed essential for this vital function in mammals. It is both a neurohormone released into the bloodstream by the axon terminals of the posterior pituitary and a neuromodulator released in the hypothalamus by the soma and dendrites of oxytocinergic magnocellular neurons. In addition, oxytocin is also released by the axon terminals of parvocellular neurons and axon collaterals of magnocellular neurons in the brain. Both maternal attachment in rats and ewes and attachment between sexual partners in the prairie vole, one of the few monogamous rodent species, are mediated by central oxytocin. However, neither administering oxytocin into the brain nor increasing expression of the oxytocin receptor in the nucleus accumbens using a gene transfer technique converts polygamous voles to monogamous ones. Unfortunately, translation of animal data to human remains problematic due to still unsolved difficulties in modifying the level of oxytocin in the brain.

Developmentally regulated pathways for motor skill learning in songbirds.

Vocal learning in songbirds is mediated by cortico-basal ganglia circuits that govern diverse functions during different stages of development. We investigated developmental changes in axonal projections to and from motor cortical regions that underlie learned vocal behavior in juvenile zebra finches (Taeniopygia guttata). Neurons in LMAN-core project to RA, a motor cortical region that drives vocal output; these RA-projecting neurons send a transient collateral projection to AId, a region adjacent to RA, during early vocal development. Both RA and AId project to a region of dorsal thalamus (DLM), which forms a feedback pathway to cortico-basal ganglia circuitry. These projections provide pathways conveying efference copy and a means by which information about vocal motor output could be reintegrated into cortico-basal ganglia circuitry, potentially aiding in the refinement of juvenile vocalizations during learning. We used tract-tracing techniques to label the projections of LMAN-core to AId and of RA to DLM in juvenile songbirds. The volume and density of terminal label in the LMAN-core→AId projection declined substantially during early stages of sensorimotor learning. In contrast, the RA→DLM projection showed no developmental change. The retraction of LMAN-core→AId axon collaterals indicates a loss of efference copy to AId and suggests that projections that are present only during early stages of sensorimotor learning mediate unique, temporally restricted processes of goal-directed learning. Conversely, the persistence of the RA→DLM projection may serve to convey motor information forward to the thalamus to facilitate song production during both learning and maintenance of vocalizations.

Brainstem Circuits Triggering Saccades and Fixation.

Omnipause neurons (OPNs) in the nucleus raphe interpositus have tonic activity while the eyes are stationary ("fixation") but stop firing immediately before and during saccades. To locate the source of suppression, we analyzed synaptic inputs from the rostral and caudal superior colliculi (SCs) to OPNs by using intracellular recording and staining, and investigated pathways transmitting the inputs in anesthetized cats of both sexes. Electrophysiologically or morphologically identified OPNs received monosynaptic excitation from the rostral SCs with contralateral dominance, and received disynaptic inhibition from the caudal SCs with ipsilateral dominance. Cutting the tectoreticular tract transversely between the contralateral OPN and inhibitory burst neuron (IBN) regions eliminated inhibition from the caudal SCs, but not excitation from the rostral SCs in OPNs. In contrast, a midline section between IBN regions eliminated disynaptic inhibition in OPNs from the caudal SCs but did not affect the monosynaptic excitation from the rostral SCs. Stimulation of the contralateral IBN region evoked monosynaptic inhibition in OPNs, which was facilitated by preconditioning SC stimulation. Three-dimensional reconstruction of HRP-stained cells revealed that individual OPNs have axons that terminate in the opposite IBN area, while individual IBNs have axon collaterals to the opposite OPN area. These results show that there are differences in the neural circuit from the rostral and caudal SCs to the brainstem premotor circuitry and that IBNs suppress OPNs immediately before and during saccades. Thus, the IBNs, which are activated by caudal SC saccade neurons, shut down OPN firing and help to trigger saccades and suppress ("latch") OPN activity during saccades.SIGNIFICANCE STATEMENT Saccades are the fastest eye movements to redirect gaze to an object of interest and bring its image on the fovea for fixation. Burst neurons (BNs) and omnipause neurons (OPNs) which behave reciprocally in the brainstem, are important for saccade generation and fixation. This study investigated unsolved important questions about where these neurons receive command signals and how they interact for initiating saccades from visual fixation. The results show that the rostral superior colliculi (SCs) excite OPNs monosynaptically for fixation, whereas the caudal SCs monosynaptically excite inhibitory BNs, which then directly inhibit OPNs for the initiation of saccades. This inhibition from the caudal SCs may account for the omnipause behavior of OPNs for initiation and maintenance of saccades in all directions.

Structure of Long-Range Direct and Indirect Spinocerebellar Pathways as Well as Local Spinal Circuits Mediating Proprioception.

Proprioception, the sense of limb and body position, generates a map of the body that is essential for proper motor control, yet we know little about precisely how neurons in proprioceptive pathways are wired. Defining the anatomy of secondary neurons in the spinal cord that integrate and relay proprioceptive and potentially cutaneous information from the periphery to the cerebellum is fundamental to understanding how proprioceptive circuits function. Here, we define the unique anatomic trajectories of long-range direct and indirect spinocerebellar pathways as well as local intersegmental spinal circuits using genetic tools in both male and female mice. We find that Clarke's column neurons, a major contributor to the direct spinocerebellar pathway, has mossy fiber terminals that diversify extensively in the cerebellar cortex with axons terminating bilaterally, but with no significant axon collaterals within the spinal cord, medulla, or cerebellar nuclei. By contrast, we find that two of the indirect pathways, the spino-lateral reticular nucleus and spino-olivary pathways, are in part, derived from cervical Atoh1-lineage neurons, whereas thoracolumbar Atoh1-lineage neurons project mostly locally within the spinal cord. Notably, while cervical and thoracolumbar Atoh1-lineage neurons connect locally with motor neurons, no Clarke's column to motor neuron connections were detected. Together, we define anatomic differences between long-range direct, indirect, and local proprioceptive subcircuits that likely mediate different components of proprioceptive-motor behaviors.SIGNIFICANCE STATEMENT We define the anatomy of long-range direct and indirect spinocerebellar pathways as well as local spinal proprioceptive circuits. We observe that mossy fiber axon terminals of Clarke's column neurons diversify proprioceptive information across granule cells in multiple lobules on both ipsilateral and contralateral sides, sending no significant collaterals within the spinal cord, medulla, or cerebellar nuclei. Strikingly, we find that cervical spinal cord Atoh1-lineage neurons form mainly the indirect spino-lateral reticular nucleus and spino-olivary tracts and thoracolumbar Atoh1-lineage neurons project locally within the spinal cord, whereas only a few Atoh1-lineage neurons form a direct spinocerebellar tract.

Block Phenomena During Electric Micro-Stimulation of Pyramidal Cells and Retinal Ganglion Cells.

Electric micro-stimulation of the nervous system is a means to restore various body functions. The stimulus amplitude necessary to generate action potentials, the lower threshold (LT), is well characterized for many neuronal populations. However, electric overstimulation above an upper threshold (UT) prevents action potential generation and therefore hinders optimal neuro-rehabilitation. Previous studies demonstrated the impact of the UT in micro-stimulation of retinal ganglion cells (RGCs). The observed phenomenon is mostly explained by (i) reversed sodium ion flow in the soma membrane, and (ii) anodal surround block that hinders spike conduction in strongly hyperpolarized regions of the axon at high stimulus intensities. However, up to now, no detailed study of the nature of these phenomena has been presented, particularly for different cell types. Here, we present computational analyses of LT and UT for layer 5 pyramidal cells (PCs) as well as alpha RGCs. Model neurons were stimulated in close vicinity to the cell body and LTs and UTs as well as the ratio UT/LT were compared. Aside from a simple point source electrode and monophasic stimuli also realistic electrode and pulse configurations were examined. The analysis showed: (i) in RGCs, the soma contributed to action potential initiation and block for small electrode distances, whereas in PCs the soma played no role in LTs or UTs. (ii) In both cell types, action potential always initiated within the axon initial segment at LT. (iii) In contrast to a complete block of spike conductance at UT that occurred in RGCs, an incomplete block of spiking appeared in PC axon collaterals. (iv) PC axon collateral arrangement influenced UTs but had small impact on LTs. (v) Population responses of RGCs change from circular regions of activation to ring-shaped patterns for increasing stimulus amplitude. A better understanding of the stimulation window that can reliably activate target neurons will benefit the future development of neuroprostheses.

Corticospinal populations broadcast complex motor signals to coordinated spinal and striatal circuits.

Many models of motor control emphasize the role of sensorimotor cortex in movement, principally through the projections corticospinal neurons (CSNs) make to the spinal cord. Additionally, CSNs possess expansive supraspinal axon collaterals, the functional organization of which is largely unknown. Using anatomical and electrophysiological circuit mapping techniques in the mouse, we reveal dorsolateral striatum as the preeminent target of CSN collateral innervation. We found this innervation is biased so that CSNs targeting different striatal pathways show biased targeting of spinal cord circuits. Contrary to more conventional perspectives, CSNs encode not only individual movements, but information related to the onset and offset of motor sequences. Furthermore, similar activity patterns are broadcast by CSN populations targeting different striatal circuits. Our results reveal a logic of coordinated connectivity between forebrain and spinal circuits, where separate CSN modules broadcast similarly complex information to downstream circuits, suggesting that differences in postsynaptic connectivity dictate motor specificity.

Crim1 and Kelch-like 14 exert complementary dual-directional developmental control over segmentally specific corticospinal axon projection targeting.

SUMMARYThe cerebral cortex executes highly skilled movement, necessitating that it connects accurately with specific brainstem and spinal motor circuitry. Corticospinal neurons (CSN) must correctly target specific spinal segments, but the basis for this targeting remains unknown. In the accompanying report, we show that segmentally distinct CSN subpopulations are molecularly distinct from early development, identifying candidate molecular controls over segmentally specific axon targeting. Here, we functionally investigate two of these candidate molecular controls, Crim1 and Kelch-like 14 (Klhl14), identifying their critical roles in directing CSN axons to appropriate spinal segmental levels in the white matter prior to axon collateralization. Crim1 and Klhl14 are specifically expressed by distinct CSN subpopulations and regulate their differental white matter projection targeting—Crim1 directs thoracolumbar axon extension, while Klhl14 limits axon extension to bulbar-cervical segments. These molecular regulators of descending spinal projections constitute the first stages of a dual-directional set of complementary controls over CSN diversity for segmentally and functionally distinct circuitry.

The Dynamics of Axon Bifurcation Development in the Cerebral Cortex of Typical and Acallosal Mice

The corpus callosum (CC) is a major interhemispheric commissure of placental mammals. Early steps of CC formation rely on guidance strategies, such as axonal branching and collateralization. Here we analyze the time-course dynamics of axonal bifurcation during typical cortical development or in a CC dysgenesis mouse model. We use Swiss mice as a typical CC mouse model and find that axonal bifurcation rates rise in the cerebral cortex from embryonic day (E)17 and are reduced by postnatal day (P)9. Since callosal neurons populate deep and superficial cortical layers, we compare the axon bifurcation ratio between those neurons by electroporating ex vivo brains at E13 and E15, using eGFP reporter to label the newborn neurons on organotypic slices. Our results suggest that deep layer neurons bifurcate 32% more than superficial ones. To investigate axonal bifurcation in CC dysgenesis, we use BALB/c mice as a spontaneous CC dysgenesis model. BALB/c mice present a typical layer distribution of SATB2 callosal cells, despite the occurrence of callosal anomalies. However, using anterograde DiI tracing, we find that BALB/c mice display increased rates of axonal bifurcations during early and late cortical development in the medial frontal cortex. Midline guidepost cells adjacent to the medial frontal cortex are significant reduced in the CC dysgenesis mouse model. Altogether these data suggest that callosal collateral axonal exuberance is maintained in the absence of midline guidepost signaling and might facilitate aberrant connections in the CC dysgenesis mouse model.

Neural Recruitment During Conventional, Burst, and 10-kHz Spinal Cord Stimulation for Pain

Spinal cord stimulation (SCS) is a popular neurostimulation therapy for severe chronic pain. To improve stimulation efficacy, multiple modes are now used clinically, including conventional, burst, and 10-kHz SCS. Clinical observations have produced speculation that these modes target different neural elements and/or work via distinct mechanisms of action. However, in humans, these hypotheses cannot be conclusively answered via experimental methods. Therefore, we utilized computational modeling to assess the response of primary afferents, interneurons, and projection neurons to conventional, burst, and 10-kHz SCS. We found that local cell thresholds were always higher than afferent thresholds, arguing against direct recruitment of these local cells. Furthermore, although we observed relative threshold differences between conventional, burst, and 10-kHz SCS, the recruitment order was the same. Finally, contrary to previous reports, axon collateralization produced complex changes in activation thresholds of primary afferents. These results motivate future work to contextualize clinical observations across SCS paradigms. PerspectiveThis article presents the first computational modeling study to investigate neural recruitment during conventional, burst, and 10-kilohertz spinal cord stimulation for chronic pain within a single modeling framework. The results provide insight into these treatments’ unknown mechanisms of action and offer context to interpreting clinical observations.

The plasticity of nerve fibers: the prolonged effects of polarization of afferent fibers.

The review surveys various aspects of the plasticity of nerve fibers, in particular the prolonged increase in their excitability evoked by polarization, focusing on a long-lasting increase in the excitability of myelinated afferent fibers traversing the dorsal columns of the spinal cord. We review the evidence that increased axonal excitability 1) follows epidurally applied direct current (DC) as well as relatively short (5 or 10 ms) current pulses and synaptically evoked intrinsic field potentials; 2) critically depends on the polarization of branching regions of afferent fibers at the sites where they bifurcate and give off axon collaterals entering the spinal gray matter in conjunction with actions of extrasynaptic GABAA membrane receptors; and 3) shares the feature of being activity-independent with the short-lasting effects of polarization of peripheral nerve fibers. A comparison between the polarization evoked sustained increase in the excitability of dorsal column fibers and spinal motoneurons (plateau potentials) indicates the possibility that they are mediated by partly similar membrane channels (including noninactivating type L Cav++ 1.3 but not Na+ channels) and partly different mechanisms. We finally consider under which conditions transspinally applied DC (tsDCS) might reproduce the effects of epidural polarization on dorsal column fibers and the possible advantages of increased excitability of afferent fibers for the rehabilitation of motor and sensory functions after spinal cord injuries.NEW & NOTEWORTHY This review supplements previous reviews of properties of nerve fibers by surveying recent experimental evidence for their long-term plasticity. It also extends recent descriptions of spinal effects of DC by reviewing effects of polarization of afferent nerve fibers within the dorsal columns, the mechanisms most likely underlying the long-lasting increase in their excitability and possible clinical implications.

Fitting Splines to Axonal Arbors Quantifies Relationship Between Branch Order and Geometry.

Neuromorphology is crucial to identifying neuronal subtypes and understanding learning. It is also implicated in neurological disease. However, standard morphological analysis focuses on macroscopic features such as branching frequency and connectivity between regions, and often neglects the internal geometry of neurons. In this work, we treat neuron trace points as a sampling of differentiable curves and fit them with a set of branching B-splines. We designed our representation with the Frenet-Serret formulas from differential geometry in mind. The Frenet-Serret formulas completely characterize smooth curves, and involve two parameters, curvature and torsion. Our representation makes it possible to compute these parameters from neuron traces in closed form. These parameters are defined continuously along the curve, in contrast to other parameters like tortuosity which depend on start and end points. We applied our method to a dataset of cortical projection neurons traced in two mouse brains, and found that the parameters are distributed differently between primary, collateral, and terminal axon branches, thus quantifying geometric differences between different components of an axonal arbor. The results agreed in both brains, further validating our representation. The code used in this work can be readily applied to neuron traces in SWC format and is available in our open-source Python package brainlit: http://brainlit.neurodata.io/.

Purkinje cell outputs selectively inhibit a subset of unipolar brush cells in the input layer of the cerebellar cortex.

Circuitry of the cerebellar cortex is regionally and functionally specialized. Unipolar brush cells (UBCs), and Purkinje cell (PC) synapses made by axon collaterals in the granular layer, are both enriched in areas that control balance and eye movement. Here, we find a link between these specializations in mice: PCs preferentially inhibit metabotropic glutamate receptor type 1 (mGluR1)-expressing UBCs that respond to mossy fiber (MF) inputs with long lasting increases in firing, but PCs do not inhibit mGluR1-lacking UBCs. PCs inhibit about 29% of mGluR1-expressing UBCs by activating GABAA receptors (GABAARs) and inhibit almost all mGluR1-expressing UBCs by activating GABAB receptors (GABABRs). PC to UBC synapses allow PC output to regulate the input layer of the cerebellar cortex in diverse ways. Based on optogenetic studies and a small number of paired recordings, GABAAR-mediated feedback is fast and unreliable. GABABR-mediated inhibition is slower and is sufficiently large to strongly influence the input-output transformations of mGluR1-expressing UBCs.

Workshop 2: Transcranial Magnetic Stimulation (TMS) WS2.1. Introduction to TMS

Transcranial magnetic stimulation (TMS) transports a short (about 100 µs) high intensity (∼ 2 Tesla) magnetic field painless through the skull into the brain and induces an electric current flow. This in turn excites neurons or fiber tracts. TMS can only induce tangential current flow. Its intensity declines exponentially; thus mainly cortical areas closed to the surface are targeted. The best available data are those obtained at the motor cortex (M1). M1 stimulation allows easy quantification of effects by recording electromyographic muscle activity. When stimulating the visual cortex phosphenes can be induced. Computational models allocate the lowest threshold elements into terminals of the axon collaterals. The dependence of threshold and polarization on spatial and temporal stimulation parameters are strongly affected by morphological features of the axonal arbor, including myelination, diameter, and branching. The thresholds for current flow are directionally sensitive, with lower threshold from the back to the front as vice versa. Intensity dependent a D-wave and several I-waves with 1.5 ms intervals are induced, which can be recorded in man invasively at the cervical spinal cord. In psychology it allows to induce short virtual lesions which provide data on cortical functions arising in the area stimulated. TMS is clinically used to quantify central motor conduction time in particular in patients with multiple sclerosis. Reliable information on amplitude changes e.g. in cervical myelopathy can be obtained by the triple stimulation technique.