This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

▪ Abstract We review the history of DNA mechanics and its analysis. We evaluate several
methods to analyze the structures of superhelical DNA molecules, each predicated on the …

The aim of this graduate-level textbook is to show how the balance laws for theories of rods
and strings can be applied in a systematic manner to develop models for a wide range of …

This book is intended for a first course in the calculus of variations, at the senior or beginning
graduate level. The reader will learn methods for finding functions that maximize or minimize …

There are circumstances under which it is useful to model a molecule of duplex DNA as a
homogeneous, inextensible, intrinsically straight, impenetrable elastic rod of circular cross …

We use the Cosserat rod theory to present a unified picture of jump phenomena, associated
with looping, snap-through, pop-out, etc., in twisted clamped rods undergoing large …

A theory for the dynamics and statics of growing elastic rods is presented. First, a single
growing rod is considered and the formalism of three-dimensional multiplicative …

We present a theoretical and numerical framework to compute bifurcations of equilibria and
stability of slender elastic rods. The 3D kinematics of the rod is treated in a geometrically …

The classical Euler problem on stationary configurations of elastic rod in the plane is studied
in detail by geometric control techniques as a left-invariant optimal control problem on the …

Elastic bending of initially flat slender elements allows the realization and economic
fabrication of intriguing curved shapes. In this work, we derive an intuitive but rigorous …