18 research outputs found

    Error analysis of free probability approximations to the density of states of disordered systems

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    Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensemble- averaged density of states without exact diagonalization. We present an error analysis that quantifies the accuracy using a generalized moment expansion, allowing us to distinguish between different approximations. We identify an approximation that is accurate to the eighth moment across all noise strengths, and contrast this with the perturbation theory and isotropic entanglement theory.Comment: 5 pages, 3 figures, submitted to Phys. Rev. Let

    Cortical circuits, learning, and behavior : Local reorganization of synaptic partners and the expansion of the motor repertoire

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    Appropriate patterning of synaptic circuitry is vital for proper central nervous system function, and neurons retain a significant capacity for synaptic reorganization throughout life. To better understand how synaptic alterations mediate the development and refinement of complex behavior, this dissertation investigates the neurophysiological and circuit-level changes accompanying 1) the emergence of fine motor behavior during development, and 2) motor skill learning in adulthood. We developed methods for identifying individual neurons of the motor cortex that are associated with specific motor domains to enable study of synaptic modifications among neural subpopulations associated with discrete behaviors. This was accomplished by labeling individual corticospinal motor neurons of layer V motor cortex that are associated with either proximal or distal forelimb control, in the same animal. By way of thousands of paired whole-cell recordings, we find that the emergence of fine motor behavior is associated with a developmental switch in connection strategy and intrinsic cell properties, which fundamentally alter the manner by which excitation is spread within the corticospinal system in rats during development. These changes parallel the emergence of fine motor behavior, and may indeed be necessary for its expression. Motor skill learning in the adult rat is next discussed, where we find that task-related corticospinal neurons specifically increase excitatory interconnectivity, inhibitory input, and intrinsic excitability following skilled motor training. Neighboring corticospinal neurons not associated with the motor task, on the other hand, exhibit no changes in connectivity or neurophysiology. Such population-specific changes may enable local encoding of motor behavior, thus automating skilled motor execution and freeing up higher-order cognitive processes, such as attention, for other tasks. Furthermore, such learning- related changes are likely a ubiquitous feature of the neocortex and underlie numerous forms of cortical learning. In total, these findings identify, for the first time, neuronal properties of connectivity and synapse function that characterize the cortical underpinnings of complex behavior and the learning engra

    Motor Cortex Maturation Is Associated with Reductions in Recurrent Connectivity among Functional Subpopulations and Increases in Intrinsic Excitability

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    Behavior is derived from the configuration of synaptic connectivity among functionally diverse neurons. Fine motor behavior is absent at birth in most mammals but gradually emerges during subsequent postnatal corticospinal system maturation; the nature of circuit development and reorganization during this period has been largely unexplored. We investigated connectivity and synaptic signaling among functionally distinct corticospinal populations in Fischer 344 rats from postnatal day 18 through 75 using retrograde tracer injections into specific spinal cord segments associated with distinct aspects of forelimb function. Primary motor cortex slices were prepared enabling simultaneous patch-clamp recordings of up to four labeled corticospinal neurons and testing of 3489 potential synaptic connections. We find that, in immature animals, local connectivity is biased toward corticospinal neurons projecting to the same spinal cord segment; this within-population connectivity significantly decreases through maturation until connection frequency is similar between neurons projecting to the same (within-population) or different (across-population) spinal segments. Concomitantly, postnatal maturation is associated with a significant reduction in synaptic efficacy over time and an increase in intrinsic neuronal excitability, altering how excitation is effectively transmitted across recurrent corticospinal networks. Collectively, the postnatal emergence of fine motor control is associated with a relative broadening of connectivity between functionally diverse cortical motor neurons and changes in synaptic properties that could enable the emergence of smaller independent networks, enabling fine motor movement. These changes in synaptic patterning and physiological function provide a basis for the increased capabilities of the mature versus developing brain

    Motor Cortex Maturation Is Associated with Reductions in Recurrent Connectivity among Functional Subpopulations and Increases in Intrinsic Excitability

    No full text
    Behavior is derived from the configuration of synaptic connectivity among functionally diverse neurons. Fine motor behavior is absent at birth in most mammals but gradually emerges during subsequent postnatal corticospinal system maturation; the nature of circuit development and reorganization during this period has been largely unexplored. We investigated connectivity and synaptic signaling among functionally distinct corticospinal populations in Fischer 344 rats from postnatal day 18 through 75 using retrograde tracer injections into specific spinal cord segments associated with distinct aspects of forelimb function. Primary motor cortex slices were prepared enabling simultaneous patch-clamp recordings of up to four labeled corticospinal neurons and testing of 3489 potential synaptic connections. We find that, in immature animals, local connectivity is biased toward corticospinal neurons projecting to the same spinal cord segment; this within-population connectivity significantly decreases through maturation until connection frequency is similar between neurons projecting to the same (within-population) or different (across-population) spinal segments. Concomitantly, postnatal maturation is associated with a significant reduction in synaptic efficacy over time and an increase in intrinsic neuronal excitability, altering how excitation is effectively transmitted across recurrent corticospinal networks. Collectively, the postnatal emergence of fine motor control is associated with a relative broadening of connectivity between functionally diverse cortical motor neurons and changes in synaptic properties that could enable the emergence of smaller independent networks, enabling fine motor movement. These changes in synaptic patterning and physiological function provide a basis for the increased capabilities of the mature versus developing brain
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