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We study the elastic response of bilayer membranes with fixed projected areato both stretching and shape deformations. A surface tension is associated toeach of these deformations. By using model amphiphilic membranes and computersimulations, we are able to observe both the types of deformation, and thus,both the surface tensions, related to each type of deformation, are measuredfor the same system. These surface tensions are found to assume differentvalues in the same bilayer membrane: in particular they vanish for differentvalues of the projected area. We introduce a simple theory which relates thetwo quantities and successfully apply it to the data obtained with computersimulations

Surface tension in bilayer membranes with fixed projected area