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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: dbuck@dam.brown.edu
CYNTHIA VERJOVSKY MARCOTTE
Affiliation:
Department of Mathematics, St. Edward's University, Austin, TX 78704, U.S.A. e-mail: cynthm@admin.stedwards.edu
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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

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