Hydrostatic pressure is an important environmental variable that plays an essential role in biological adaptation. Increasing pressure, much like increasing temperature, perturbs the thermodynamic equilibrium between folded state and unfolded state. In thermodynamic terms stability is defined by Gibbs energy, G, that is function of both temperature and pressure and is related to the population of native, N, and unfolded, U, states aswhere Keq is equilibrium constant. The pressure dependence of G is defined by the volume changes between the unfolded and native states. What is the origin of the changes in volume of a protein upon unfolding? The presence of internal cavities and voids in the interior of the native proteins makes the volume of the native protein larger that the volume of the unfolded state. However, the hydration of internal protein groups that become exposed to the solvent upon unfolding should also contribute to the changes in volume. Based on model compound data, the hydration in expected to contribute negatively to the changes in the V specific volume of a protein upon unfolding. As a result it appears that the unfolding of proteins should be accompanied by a large decrease in their volumes. However, in most cases, only small decreases, or even small increases, in the partial specific volume of proteins upon unfolding are observed. To reconcile these observations, we have analyzed volume changes due to the internal cavities and volume using structural ensembles of proteins generated using various computational models including an all-atom explicit solvent molecular dynamics simulations. We show that previous calculations significantly over-estimated the volume changes due to the cavities and voids. Supported by a grant from the National Science Foundation CLP-1145407
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