Go-type potentials, based on the inter-residue contacts present in the native structure of a protein, are frequently used to predict dynamic and structural features of the folding pathways through computer simulations. However, the mathematical form used to define the model interactions includes several arbitrary choices, whose consequences are not usually analyzed. In this work, we use a simple off-lattice protein model and a parallel tempering Monte Carlo simulation technique to carry out such analysis, centered in the thermodynamic characteristics of the folding transition. We show how the definition of a native contact has a deep impact on the presence of simple or complex transitions, with or without thermodynamic intermediates. In addition, we have checked that the width of the attractive wells has a profound effect on the free-energy barrier between the folded and unfolded states, mainly through its influence on the entropy of the denatured state.
Protegrin is an antimicrobial peptide with a β-hairpin structure stabilized by a pair of disulfide bonds. It has been extensively studied by solid-state NMR and computational methods. Here we use implicit membrane models to examine the binding of monomers on the surface and in the interior of the membrane, the energetics of dimerization, the binding to membrane pores, and the stability of different membrane barrel structures in pores. Our results challenge a number of conclusions based on previous experimental and theoretical work. The burial of monomers into the membrane interior is found to be unfavorable for any membrane thickness. Because of its imperfect amphipathicity, protegrin binds weakly, at most, on the surface of zwitterionic membranes. However, it binds more favorably onto toroidal pores. Anionic charge on the membrane facilitates the binding due to electrostatic interactions. Solid-state NMR results have suggested a parallel NCCN association of monomers in dimers and association of dimers to form octameric or decameric β-barrels. We find that this structure is not energetically plausible for binding to bilayers, because in this configuration the hydrophobic sides of two monomers point in opposite directions. In contrast, the antiparallel NCCN and especially the parallel NCNC octamers are stable and exhibit a favorable binding energy to the pore. The results of 100-ns simulations in explicit bilayers corroborate the higher stability of the parallel NCNC barrel compared with the parallel NCCN barrel. The ability to form pores in zwitterionic membranes provides a rationalization for the peptide's cytotoxicity. The discrepancies between our results and experiment are discussed, and new experiments are proposed to resolve them and to test the validity of the models.
The possibility of downhill instead of two-state folding for proteins has been a very controversial topic which arose from recent experimental studies. From the theoretical side, this question has also been accomplished in different ways. Given the experimental observation that a relationship exists between the native structure topology of a protein and the kinetic and thermodynamic properties of its folding process, Gō-type potentials are an appropriate way to approach this problem. In this work, we employ an interaction potential from this family to get a better insight on the topological characteristics of the native state that may somehow determine the presence of a thermodynamic barrier in the folding pathway. The results presented here show that, indeed, the native topology of a small protein has a great influence on its folding behavior, mostly depending on the proportion of local and long range contacts the protein has in its native structure. Furthermore, when all the interactions present contribute in a balanced way, the transition results to be cooperative. Otherwise, the tendency to a downhill folding behavior increases.
Peptide-induced pore formation in membranes can be dissected into two steps: pore formation and peptide binding to the pore. A computational method is proposed to study the second step in anionic membranes. The electrostatic potential is obtained from numerical solutions to the Poisson-Boltzmann equation and is then used in conjunction with IMM1 (implicit membrane model 1). A double charge layer model is used to incorporate the effects of the membrane dipole potential. Inhomogeneity of the charge density in the pore, characterized by explicit membrane simulations of toroidal pores, is included in the model. This approach was applied to two extensively studied peptides, magainin and melittin. In agreement with previous work, binding to toroidal pores is more favorable than binding to the flat membrane. The dependence of binding energy on anionic content exhibits different patterns for the two peptides, in correlation with the different lipid selectivity that has been observed experimentally.
The relative importance of local and long range interactions in the characteristics of the protein folding process has long been a matter of controversy. Computer simulations based on Gō-type models have been widely used to study this topic, but without much agreement on which type of interactions is more relevant for the foldability of a protein. In this work, the authors also employ a topology-based potential and simulation model to analyze the influence of local and long range interactions on the thermodynamics of the folding transition. The former are mainly used to control the degree of flexibility (or stiffness) of the chain, mostly appreciable in the unfolded (noncompact) state. Our results show the different effects that local and nonlocal interactions have on the entropy and the energy of the system. This implies that a balance between both types of interactions is required, so that a free energy barrier exists between the native and the denatured states. The variations in the contribution of both types of interactions have also a direct effect on the stability of the chain conformations, including the possible appearance of thermodynamic folding intermediates.
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