Discrete Frenet frame, inflection point solitons, and curve visualization with applications to folded proteins
نویسندگان
چکیده
منابع مشابه
Discrete Frenet frame, inflection point solitons, and curve visualization with applications to folded proteins.
We develop a transfer matrix formalism to visualize the framing of discrete piecewise linear curves in three-dimensional space. Our approach is based on the concept of an intrinsically discrete curve. This enables us to more effectively describe curves that in the limit where the length of line segments vanishes approach fractal structures in lieu of continuous curves. We verify that in the cas...
متن کاملTopological solitons and folded proteins.
We argue that protein loops can be described by topological domain-wall solitons that interpolate between ground states which are the α helices and β strands. We present an energy function that realizes loops as soliton solutions to its equation of motion, and apply these solitons to model a number of biologically active proteins including 1VII, 2RB8, and 3EBX (Protein Data Bank codes). In all ...
متن کاملGauge field theory of chirally folded homopolymers with applications to folded proteins.
We combine the principle of gauge invariance with extrinsic string geometry to develop a lattice model that can be employed to theoretically describe properties of chiral, unbranched homopolymers. We find that in its low temperature phase the model is in the same universality class with proteins that are deposited in the Protein Data Bank, in the sense of the compactness index. We apply the mod...
متن کاملMultiple scales and phases in discrete chains with application to folded proteins
A. Sinelnikova, ∗ A. J. Niemi, 1, 3, 4, † Johan Nilsson, ‡ and M. Ulybyshev § Department of Physics and Astronomy, Uppsala University, P.O. Box 516, S-75120, Uppsala, Sweden Nordita, Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden Laboratory of Physics of Living Matter, School of Biomedicine, Far Eastern Federal University, Vladivostok, Russia Department of Physics, Bei...
متن کاملSpeeding up elliptic curve discrete logarithm computations with point halving
Pollard rho method and its parallelized variants are at present known as the best generic algorithms for computing elliptic curve discrete logarithms. We propose new iteration function for the rho method by exploiting the fact that point halving is more efficient than point addition for elliptic curves over binary fields. We present a careful analysis of the alternative rho method with new iter...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.83.061908