Cell walls define a cell's shape in bacteria. The walls are rigid to resist large internal
pressures, but remarkably plastic to adapt to a wide range of external forces and geometric …

Probability theory has diverse applications in a plethora of fields, including physics,
engineering, computer science, chemistry, biology and economics. This book will familiarize …

Rod-like bacteria maintain their cylindrical shapes with remarkable precision during growth.
However, they are also capable to adapt their shapes to external forces and constraints, for …

Hypothesis We hypothesize that curved surfaces, including cylindrical surfaces, which go
beyond prior experiments using flat surfaces, can significantly influence and alter the phase …

A crystal lattice, when confined to the surface of a cylinder, must have a periodic structure
that is commensurate with the cylinder circumference. This constraint can frustrate the …

Topological defects shape the material and transport properties of physical systems.
Examples range from vortex lines in quantum superfluids, defect-mediated buckling of …

Freestanding tubular crystals offer a general description of crystalline order on deformable
surfaces with cylindrical topology, such as single-walled carbon nanotubes, microtubules …

Tubular crystals, two-dimensional lattices wrapped into cylindrical topologies, arise in many
contexts, including botany and biofilaments, and in physical systems such as carbon …

We study avenues to shape multistability and shape morphing in flexible crystalline
membranes of cylindrical topology, enabled by glide mobility of dislocations. Using …

Phyllotaxis is a botanical classification scheme that can describe regular lattice-like
structures on cylinders, often as a set of helical chains. In this letter, we study the general …