Elastic energy storage in beta-sheets with application to F1-ATPase.

We present a methodology for obtaining the elastic properties of protein motifs. We combine the use of interpolated structures (IS), molecular dynamics (MD) and collective coordinates to deduce the elastic properties of the beta-sheet in F(1) ATPase. We find that about 3.5 kcal/mol (6 k(B) T at room temperature) of elastic energy is stored in the beta-sheet as the beta-subunit undergoes its hinge bending motion, in good agreement with the finite element model of Wang and Oster [Nature (1998) 396:279-282]. The technique should be useful for beta-sheets in other proteins and aid in the construction of phenomenological models for molecular motors that are computationally prohibitive for MD alone.