We present a simple model to study the statistical fluctuations of membranes containing active proteins. We show that the long-wavelength limit of the shape fluctuation spectrum of active membranes diverges with a power law which is different from that of membranes in thermal equilibrium. This leads to a persistence length for active membranes which is much shorter than that of equilibrium membranes.
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Prost et al. (1996) studied this question.
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