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

• Autorzy: Wei Tian , Xue Lei , Louis H. Kauffman , Jie Liang
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Topological knot; RNA molecules; Knot polynomials

• Wydawca: De Gruyter Open
• Czasopismo: Molecular Based Mathematical Biology
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 21-30

Daty

wydano

2017-01-01

otrzymano

2017-01-04

zaakceptowano

2017-03-30

online

2017-04-26

Twórcy

autor

Wei Tian

• Department of Bioengineering, University of Illinois at Chicago, 1200 West Harrison St., 60607, Chicago, IL,

autor

Xue Lei

• Department of Bioengineering, University of Illinois at Chicago, 1200 West Harrison St., 60607, Chicago, IL,

autor

Louis H. Kauffman

• Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 1200 West Harrison St., 60607, Chicago, IL,

autor

Jie Liang

• Department of Bioengineering, University of Illinois at Chicago, 1200 West Harrison St., 60607, Chicago, IL,,

Identyfikatory

DOI

10.1515/mlbmb-2017-0002