A Knot Polynomial Invariant for Analysis of Topology of RNA Stems and Protein Disulfide Bonds

Wei Tian, et al. "A Knot Polynomial Invariant for Analysis of Topology of RNA Stems and Protein Disulfide Bonds." Molecular Based Mathematical Biology 5.1 (2017): 21-30. <http://eudml.org/doc/288127>.

@article{WeiTian2017,
abstract = {Knot polynomials have been used to detect and classify knots in biomolecules. Computation of knot polynomials in DNA and protein molecules have revealed the existence of knotted structures, and provided important insight into their topological structures. However, conventional knot polynomials are not well suited to study RNA molecules, as RNA structures are determined by stem regions which are not taken into account in conventional knot polynomials. In this study, we develop a new class of knot polynomials specifically designed to study RNA molecules, which considers stem regions. We demonstrate that our knot polynomials have direct structural relation with RNA molecules, and can be used to classify the topology of RNA secondary structures. Furthermore, we point out that these knot polynomials can be used to model the topological effects of disulfide bonds in protein molecules.},
author = {Wei Tian, Xue Lei, Louis H. Kauffman, Jie Liang},
journal = {Molecular Based Mathematical Biology},
keywords = {Topological knot; RNA molecules; Knot polynomials},
language = {eng},
number = {1},
pages = {21-30},
title = {A Knot Polynomial Invariant for Analysis of Topology of RNA Stems and Protein Disulfide Bonds},
url = {http://eudml.org/doc/288127},
volume = {5},
year = {2017},
}

TY - JOUR
AU - Wei Tian
AU - Xue Lei
AU - Louis H. Kauffman
AU - Jie Liang
TI - A Knot Polynomial Invariant for Analysis of Topology of RNA Stems and Protein Disulfide Bonds
JO - Molecular Based Mathematical Biology
PY - 2017
VL - 5
IS - 1
SP - 21
EP - 30
AB - Knot polynomials have been used to detect and classify knots in biomolecules. Computation of knot polynomials in DNA and protein molecules have revealed the existence of knotted structures, and provided important insight into their topological structures. However, conventional knot polynomials are not well suited to study RNA molecules, as RNA structures are determined by stem regions which are not taken into account in conventional knot polynomials. In this study, we develop a new class of knot polynomials specifically designed to study RNA molecules, which considers stem regions. We demonstrate that our knot polynomials have direct structural relation with RNA molecules, and can be used to classify the topology of RNA secondary structures. Furthermore, we point out that these knot polynomials can be used to model the topological effects of disulfide bonds in protein molecules.
LA - eng
KW - Topological knot; RNA molecules; Knot polynomials
UR - http://eudml.org/doc/288127
ER -