(center panel) Initial state of a membrane with surface area, A, projected area, Ap, and number of lipids, N. (top panel) In the open state, the system exchanges lipid molecules with a reservoir and the corresponding variables in the final state are (a)
in the (σ, τ) ensemble and (b) (A′, Ap, N′) in the (σ, Ap) ensemble. (bottom panel) In the absence of number fluctuations the state of the membrane is given by (c) (A, Ap, N) in the (A, Ap) ensemble, (d) (A′, Ap, N) in the (σ, Ap) ensemble, and (e)
in the (σ, τ) ensemble.