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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith
An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith
Student Scholar Showcase
Blood flow to the tissue of the hands and digits is efficiently regulated by vasoconstriction and vasodilation. Through a series of cadaveric dissection, we examined arteries in the hands and digits, including ulnar artery, radial artery, palmar arteries, and digital arteries, for their distribution (branching) patterns and morphological parameters (e.g., thickness, length between branches, external and internal diameters). Using data directly collected from three female cadavers as input variables to our mathematical model, we simulated vasoconstriction (-20% and -10% diameter) and vasodilation (+10% and +20 diameter) to evaluate the extent of changes in blood volume and flow within the arteries. …
Group Theoretical Analysis Of Arbitrarily Large, Colored Square Grids, Brett Ehrman
Group Theoretical Analysis Of Arbitrarily Large, Colored Square Grids, Brett Ehrman
Student Scholar Showcase
In this research, we examine n x n grids whose individual squares are each colored with one of k distinct colors. We seek a general formula for the number of colored grids that are distinct up to rotations, reflections, and color reversals. We examine the problem using a group theoretical approach. We define a specific group action that allows us to incorporate Burnside’s Lemma, which leads us to the desired general results