Bistable structures associated with nonlinear deformation behavior, exemplified by the
Venus flytrap and slap bracelet, can switch between different functional shapes upon …

A brief review is given of the main concepts, ideas, and results in the fields of DNA topology,
elasticity, mechanics and statistical mechanics. Discussion in-cludes the notions of the …

In this paper, we consider a regular curve on an oriented surface in Euclidean 3-space with
the Darboux frame {T,U,V\} along the curve, where T is the unit tangent vector field of the …

The 50th anniversary of Biopolymers coincides closely with the like celebration of the
discovery of the Escherichia coli (lac) lactose operon, a classic genetic system long used to …

Many problems involving the interaction of an elastic structure and a viscous fluid can be
solved by the immersed boundary (IB) method. In the IB approach to such problems, the …

Helical structures are among the most universal building blocks in nature and engineering.
In this work, I performed three-dimensional finite element simulations to study the transitions …

A variational approach is used to study the behavior of two closed, inextensible, interacting
elastic loops that are constrained to lie on a sphere. In addition to the bending energy of …

The statistical mechanics of a short circularized DNA molecule, a DNA minicircle, with a
prescribed linking number depends heavily on the mechanical and geometrical properties of …

Fabrication and synthesis of helical nanoribbons have received increasing attention
because of the broad applications of helical nanostructures in nano-elecromechanical/micro …

Helical structures are ubiquitous in nature and engineering, ranging from DNA molecules to
plant tendrils, from sea snail shells to nanoribbons. While the helical shapes in natural and …