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A stiff filament (“microtubule”) embedded in an active isotropic medium consisting of oriented fiaments (“F-actin”). The conformations of the microtubule, aligned on an average along the x axis, are described by small transverse fluctuations u ⊥ (x,t). The active medium can either be contractile or tensile. The orientation of F-actin along the microtubule can either be parallel or normal to it.
