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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Biomathematics Seminar: Constrained elastic filaments: in braids and on cylinders

Presented by Prof Gert van der Heijden, UCL

11 November 2014 14:00 in Department of Mathematical Sciences

Motivated by supercoiling of DNA and other filamentous structures, we
formulate a new theory for equilibria of 2-braids, i.e., structures formed
by two elastic rods winding around each other in continuous contact and
subject to a local interstrand interaction. Unlike in previous work no
assumption is made on the shape of the contact curve. Rather, this shape
is solved for. The theory is illustrated by computing both open braid and
closed braid (links and knots) solutions. Special attention will be paid
to the problem of a straight-axis braid, which is equivalent to the problem
of a rod deforming on a cylinder. Applications to bacteria will be discussed.

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