Polar pattern formation: hydrodynamic coupling of driven filaments

Polar pattern formation: hydrodynamic coupling of driven filaments

How order can emerge spontaneously from a disordered system has always fascinated scientists from numerous disciplines. Especially in active systems like flocks animals, self-propelled microorganisms or the cytoskeleton, a unifying understanding of the pattern formation remains elusive. This is attributed to the inherent complexity of most model systems that prevents a thorough identification o...

Hydrodynamic and rheology of active polar filaments

The cytoskeleton provides eukaryotic cells with mechanical support and helps them perform their biological functions. It is a network of semiflexible polar protein filaments and many accessory proteins that bind to these filaments, regulate their assembly, link them to organelles and continuously remodel the network. Here we review recent theoretical work that aims to describe the cytoskeleton ...

"Inchworm Filaments": Motility and Pattern Formation

Sean X. Sun† Departments of Mechanical Engineering and Biomedical Engineering, The Johns Hopkins University, Baltimore MD 21218 Abstract In a previous paper, we examined a class of possible conformations for helically patterned filaments in contact with a bonding surface. In particular, we investigated geometries where contact between the pattern and the surface was improved through a periodic ...

Energy-Driven Pattern Formation

Many physical systems can be modelled by nonconvex variational problems regularized by higher-order terms. Examples include martensitic phase transformation, micromagnetics, and the Ginzburg–Landau model of nucleation. We are interested in the singular limit, when the coefficient of the higher-order term tends to zero. Our attention is on the internal structure of walls, and the character of mi...

Light-driven dynamic pattern formation.