Cory Palmer

Intrinsic Horizontal Connections Process Global Tactile Features in the Primary Somatosensory Cortex: Neuroanatomical Evidence

To understand manual tactile functions in primates, it is essential to explore the interactions between the finger pad representations in somatosensory cortex. To this end, we used optical imaging and electrophysiological mapping to guide neuroanatomical tracer injections into distal digit tip representations of Brodmann area 3b in the squirrel monkey. Retrogradely labeled cell densities and anterogradely labeled fibers and terminal patches in somatosensory areas were plotted and quantified with respect to tangential distribution. Within area 3b, reciprocal patchy distribution of anterograde and retrograde labeling spanned the representation of the distal pad of multiple digits, indicating strong cross‐digit connectivity. Inter‐areal connections revealed bundles of long‐range fibers projecting anteroposteriorly, connecting area 3b with clusters of labeled neurons and terminal axon arborizations in area 1. Inter‐areal linkage appeared to be largely confined to the representation of the injected finger. These findings provide the neuroanatomical basis for the interaction between distal finger pad representations observed by recent electrophysiological studies. We propose that intra‐areal connectivity may be heavily involved in interdigit integration such as shape discrimination, whereas long‐range inter‐areal connections may subserve active touch in a digit‐specific manner. J. Comp. Neurol. 521:2798–2817, 2013.

Irregular labelings of circulant graphs

Abstract We investigate the irregularity strength ( s ( G ) ) and total vertex irregularity strength ( tvs ( G ) ) of circulant graphs C i n ( 1 , 2 , … , k ) and prove that tvs ( C i n ( 1 , 2 , … , k ) ) = ⌈ n + 2 k 2 k + 1 ⌉ , while s ( C i n ( 1 , 2 , … , k ) ) = ⌈ n + 2 k − 1 2 k ⌉ except if either n = 2 k + 1 or if k is odd and n ≡ 2 k + 1 ( mod 4 k ) , then s ( C i n ( 1 , 2 , … , k ) ) = ⌈ n + 2 k − 1 2 k ⌉ + 1 .

Connectivity of somatosensory cortical area 1 forms an anatomical substrate for the emergence of multifinger receptive fields and complex feature selectivity in the squirrel monkey (Saimiri sciureus).

Converging evidence shows that interaction of digit‐specific input, which is required to form global tactile percepts, begins as early as area 3b in the primary somatosensory cortex with the involvement of intrinsic lateral connections. How tactile processing is further elaborated in area 1, the next stage of the somatosensory cortical hierarchy, is less understood. This question was investigated by studying the tangential distribution of intrinsic and interareal connections of finger representations of area 1. Retrogradely labeled cell densities and anterogradely labeled fibers and terminal patches were plotted and quantified with respect to the hand representation by combining tract tracing with electrophysiological mapping and intrinsic signal optical imaging in somatosensory areas. Intrinsic connections of distal finger pad representations of area 1 spanned the representation of multiple digits indicating strong cross‐digit connectivity. Area 1 distal finger pad regions also established high‐density connections with homotopic regions of areas 3b and 2. Although similar to area 3b, connections of area 1 distributed more widely and covered a larger somatotopic representation including more proximal parts of the finger representations. The lateral connectivity pattern of area 1 is a suitable anatomical substrate of the emergence of multifinger receptive fields, complex feature selectivity, and invariant stimulus properties of the neurons. J. Comp. Neurol. 522:1769–1785, 2014.

On the Tree Packing Conjecture

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Extremal Results for Berge Hypergraphs

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Almost Intersecting Families of Sets

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On the Number of Cycles in a Graph with Restricted Cycle Lengths

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Rainbow copies of C 4 in edge-colored hypercubes

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Polychromatic colorings of arbitrary rectangular partitions

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Almost Cross-Intersecting and Almost Cross-Sperner Pairs of Families of Sets

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