  The dynamics and deformations of immersed flexible fibers are at the heart of
important industrial and biological processes, induce peculiar mechanical and
transport properties in the fluids that contain them, and are the basis for
novel methods of flow control. Here we focus on the low Reynolds number regime
where advances in studying these fiber-fluid systems have been especially
rapid. On the experimental side this is due to new methods of fiber synthesis,
microfluidic flow control, and of microscope based tracking measurement
techniques. Likewise, there have been continuous improvements in the
specialized mathematical modeling and numerical methods needed to capture the
interactions of slender flexible fibers with flows, boundaries, and each other.
