The cytoskeleton is a cellular subsystem involved in various cellular processes like division and locomotion. It consists of protein filaments that interact with a number of proteins that control filament length and generate stresses in the network. From a physical point of view, the cytoskeleton is an active polar gel. Here, "active" indicates that the system is permanently maintained out of thermodynamic equilibrium such that physical descriptions of its dynamics require new tools compared to the well-established statistical physics of equilibrium systems. In the talk, examples of cytoskeletal dynamics will be discussed, that highlight different approaches to physical descriptions ranging from microscopic to phenomenological macroscopic theories.