Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-20T04:23:47.069Z Has data issue: false hasContentIssue false
  • English
  • Français

Tangle solutions for a family of DNA-rearranging proteins

Published online by Cambridge University Press:  22 June 2005

DOROTHY BUCK  and
CYNTHIA VERJOVSKY MARCOTTE
DOROTHY BUCK
Affiliation:
Division of Applied Mathematics, Brown University, Providence, RI 02912, U.S.A. e-mail: [email protected]
CYNTHIA VERJOVSKY MARCOTTE
Affiliation:
Department of Mathematics, St. Edward's University, Austin, TX 78704, U.S.A. e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

We study two systems of tangle equations that arise when modeling the action of the Integrase family of proteins on DNA. These two systems—direct and inverted repeats—correspond to two different possibilities for the initial DNA sequence. We present one new class of solutions to the tangle equations. In the case of inverted repeats we prove that any solution not in these, or 2 previously known classes, would have to belong to one specific class. In the case of direct repeats we prove that the three classes are the only solutions possible.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 1 , July 2005 , pp. 59 - 80
Copyright
2005 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)