Geometry of the toroidal N-helix: optimal-packing and zero-twist
Publication: Research - peer-review › Journal article – Annual report year: 2012
Standard
Geometry of the toroidal N-helix: optimal-packing and zero-twist. / Olsen, Kasper; Bohr, Jakob.
In: New Journal of Physics, Vol. 14, 2012.Publication: Research - peer-review › Journal article – Annual report year: 2012
Harvard
APA
CBE
MLA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Geometry of the toroidal N-helix: optimal-packing and zero-twist
A1 - Olsen,Kasper
A1 - Bohr,Jakob
AU - Olsen,Kasper
AU - Bohr,Jakob
PB - Institute of Physics Publishing
PY - 2012
Y1 - 2012
N2 - Two important geometrical properties of N-helix structures are influenced by bending. One is maximizing the volume fraction, which is called optimal-packing, and the other is having a vanishing strain-twist coupling, which is called zero-twist. Zero-twist helices rotate neither in one nor in the other direction under pull. The packing problem for tubular N-helices is extended to bent helices where the strands are coiled on toruses. We analyze the geometry of open circular helices and develop criteria for the strands to be in contact. The analysis is applied to a single, a double and a triple helix. General N-helices are discussed, as well as zero-twist helices for N > 1. The derived geometrical restrictions are gradually modified by changing the aspect ratio of the torus.
AB - Two important geometrical properties of N-helix structures are influenced by bending. One is maximizing the volume fraction, which is called optimal-packing, and the other is having a vanishing strain-twist coupling, which is called zero-twist. Zero-twist helices rotate neither in one nor in the other direction under pull. The packing problem for tubular N-helices is extended to bent helices where the strands are coiled on toruses. We analyze the geometry of open circular helices and develop criteria for the strands to be in contact. The analysis is applied to a single, a double and a triple helix. General N-helices are discussed, as well as zero-twist helices for N > 1. The derived geometrical restrictions are gradually modified by changing the aspect ratio of the torus.
KW - Physics
KW - Coiled Carbon Nanotubes
KW - Self-Contact
KW - Dna Configurations
KW - Elastic Stability
KW - End Conditions
KW - Mechanics
KW - Plasmids
KW - Ideal
KW - Transitions
KW - Shapes
U2 - 10.1088/1367-2630/14/2/023063
DO - 10.1088/1367-2630/14/2/023063
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
VL - 14
ER -