sumners-topology

sumners-topology - DNA TOPOLOGY: EXPERIMENTS AND ANALYSIS...

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DNA TOPOLOGY: EXPERIMENTS AND ANALYSIS De Witt Sumners Department of Mathematics Florida State University Tallahassee, FL 32306 sumners@math.fsu.edu
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Isomers
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Using Topology in Science
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SYNTHETIC KNOT Dietrich-Buchecker & Sauvage, Ang. Chemie 28 (1989), 189
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KNOT IN A PROTEIN J. Am. Chem. Soc. J. Am. Chem. Soc. 118 118 (1996), 8945 (1996), 8945
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What is Knot Theory?
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Knots and Catenanes
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Crossover Number
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http://www.pims.math.ca/knotplot/zoo/ A Knot Zoo By Robert G. Scharein © 2005 Jennifer K. Mann
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Prime and Composite Knots
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CHIRALITY
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CROSSING SIGN CONVENTION
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LINKING NUMBERS
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TWIST
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WRITHE & AVERAGE CROSSING NUMBER Writhe --average the sum of signed crossings over all projections (average number of crossings over all projections)
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LK = TW + WR
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LK = TW + WR
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LK = TW + WR
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DNA Replication
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DNA is Crowded in the Cell
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Radial Loop Chromosome
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Replication Obstruction
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Strand Passage Strand Passage Topoisomerase Topoisomerase
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Strand Exchange Strand Exchange Recombinase Recombinase
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Enzyme Bound to DNA
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Topological Enzymology Mathematics: Deduce enzyme binding and mechanism from observed products
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Information We Seek
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sumners-topology - DNA TOPOLOGY: EXPERIMENTS AND ANALYSIS...

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