Topological mechanics of knots and tangles
WebThe paper, by V.P. Patil at Massachusetts Institute of Technology in Cambridge, MA, and colleagues was titled, "Topological mechanics of knots and tangles." Credit. Joseph Sandt. WebThe main body of our review deals with (i) the effect that spatial confinement has on the equilibrium topological entanglement of one or more polymer chains and (ii) the metric and entropic properties of polymer chains with fixed topological states. These problems have important technological applications and implications for life sciences ...
Topological mechanics of knots and tangles
Did you know?
WebJan 1, 2009 · Abstract. This paper draws a line from the basics of rational tangles to the tangle model of DNA recombination. We sketch the classification of rational tangles, unoriented and oriented rational knots and the application … WebMore information: Vishal P. Patil et al. Topological mechanics of knots and tangles, Science (2024). DOI: 10.1126/science.aaz0135 This story is republished courtesy of MIT News
WebMar 4, 2024 · Exploiting a previously unrecognized analogy with long-range ferromagnetic spin systems, we identify simple counting rules to predict the relative mechanical stability of knots and tangles, in agreement with numerical simulations and experimental measurements for commonly used climbing and sailing knots. The underlying topological … WebLectures on Topological Fluid Mechanics Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2 - 10, 2001 ... to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot ...
WebThe DNA of all organisms has a complex and essential topology. Each cell has a family of naturally occurring enzymes that manipulate cellular DNA in topologically interesting and non-trivial ways in order to mediate the vital cellular life processes of replication, transcription and recombination. WebJan 3, 2024 · Knots play a fundamental role in the dynamics of biological and physical systems, from DNA to turbulent plasmas, as well as in climbing, weaving, sailing, and surgery. Despite having been studied for centuries, the subtle interplay between topology …
WebJan 2, 2024 · Experiments with colorful fibers helped scientists discover a few simple rules behind knots’ varying strengths. ... Topological mechanics of knots and tangles. Science. Vol. 367, January 3, 2024 ...
WebTopological mechanics of knots and tangles Vishal P. Patil 1, Joseph D. Sandt 2, Mathias Kolle , Jörn Dunkel * Knots play a fundamental role in the dynamics of biological and physical systems, from DNA to turbulent plasmas, as well as in climbing, weaving, sailing, … intruder warning maybe crosswordWebTopological mechanics of knots and tangles Vishal P. Patil 1, Joseph D. Sandt 2, Mathias Kolle , Jörn Dunkel * Knots play a fundamental role in the dynamics of biological and physical systems, from DNA to turbulent plasmas, as well as in climbing, weaving, sailing, … intruder onlineWebTopological Mechanics of Knots and Tangles intruder gets shot in the faceWebExploiting an analogy with long-range ferromagnetic spin systems, we identified simple topological counting rules to predict the relative mechanical stability of knots and tangles, in agreement with simulations and experiments for commonly used climbing and sailing … intruder safety tips for schoolWebJan 2, 2024 · TLDR. The knotting of microscopic topological defect lines in chiral nematic liquid-crystal colloids are demonstrated by using laser tweezers as a micromanipulation tool, demonstrating how relevant the topology can be for the material engineering of … intruder max 70wpWebMar 1, 2024 · Topological mechanics of knots and tangles V P Patil, J D Sandt, M Kolle and J Dunkel Science 367: 71-75, 2024 See also Quanta Magazine; Flow-induced symmetry breaking in growing bacterial biofilms P Pearce, B Song, D J Skinner, R Mok, R Hartmann, P K Singh, J S Oishi, K Drescher and J Dunkel Phys Rev Lett 123: 258101, 2024 intruder airplaneWebJan 1, 2024 · Exploiting an analogy with long-range ferromagnetic spin systems, we identified simple topological counting rules to predict the relative mechanical stability of knots and tangles, in agreement with simulations and experiments for commonly used … intruder family meme