Criticality and supradiffusion in biological membranes: The effect of transverse multiplicative fluctuations

► The cytoskeleton in contact with a biological membrane may be near critical conditions. ► This influences the dynamical processes associated with the membrane's fluctuations. ► This is modeled by a stochastic multiplicative friction on the membrane's fluctuations. ► Mean square displacement and dynamic structure factor undergo a transition from sub to supra-diffusive behavior.