Browsing by Author "Dieckmann, Gregg R."
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Item A Carbon Nanotube-based Raman-imaging Immunoassay For Evaluating Tumor Targeting Ligands(Royal Society of Chemistry, 2014-04-16) Bajaj, Pooja; Mikoryak, Carole; Wang, Ruhung; Bushdiecker II, David K.; Memon, Pauras; Draper, Rockford K.; Dieckmann, Gregg R.; Pantano, Paul; Musselman, Inga H.; Pantano, Paul; Musselman, Inga H.Herein, we describe a versatile immunoassay that uses biotinylated single-walled carbon nanotubes (SWNTs) as a Raman label, avidin-biotin chemistry to link targeting ligands to the label, and confocal Raman microscopy to image whole cells. Using a breast tumor cell model, we demonstrate the usefulness of the method to assess membrane receptor/ligand systems by evaluating a monoclonal antibody, Her-66, known to target the Her2 receptors that are overexpressed on these cells. We present two-dimensional Raman images of the cellular distribution of the SWNT labels corresponding to the distribution of the Her2 receptors in different focal planes through the cell with validation of the method using immunofluorescence microscopy, demonstrating that the Her-66-SWNT complexes were targeted to Her2 cell receptors.;Item Left Orderability of Cyclic Branched Covers of Rational Knots(August 2023) Meyer, Bradley D 1993-; Tran, Anh; Dieckmann, Gregg R.; Dabkowski, Mieczyslaw K.; Dragovic, Vladimir; Ramakrishna, ViswanathA non-trivial group G is left orderable if there is a total ordering < on G such that g < h implies f g < f h for all f, g, h ∈ G. In this dissertation, we study the left orderability of the fundamental groups of cyclic branched covers of the 3-sphere, S3, branched over rational knots. Specifically, the focus is on the three parameter family of rational knots C(2p, 2m, 2n+1) in the Conway notation. This study is motivated by the L-space conjecture of Boyer-Gordon-Watson, which states that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental group is not left oderable. A sufficient condition for the fundamental group of the r-th cyclic branched cover of S3 branched over a prime knot to be left orderable was given by Hu in [12]. As an application, Turner determined the left orderability of the fundamental groups of the cyclic branched covers of the rational knots C(2n + 1, 2, 2) for a positive integer n. In Chapters 2 and 3, we generalize Turners results to the rational knots C(2p, 2m, 2n + 1) where p, m, n are integers.