Both methods let you compute the "free energy" between two distinct states. These states could represent, for instance, the bound and unbound states of two different solvated molecules, or two different conformations of the same solvated molecule.
Both methods break down the "free energy" into various contributions. The key difference between MMPBSA and MMGBSA lies in how they calculate the contribution of electrostatic interactions to the free energy. MMPBSA explicitly solves the Poisson-Boltzmann equation. This equation determines the variation in electrostatic potential based on the charge distribution in a 3D space, which can be irregular, especially in proteins. To solve this equation, you need to describe the charge density distribution, which follows a Boltzmann distribution, as well as the dielectric constant of the medium in which you're solving the equation to obtain the potential.
Solving the Poisson-Boltzmann equation can be computationally demanding, so linearized and approximate versions exist. MMGBSA, in particular, is an approximation of the Poisson-Boltzmann equation. In this method, all atoms are treated as spheres with a fixed radius (known as the effective Born radius, denoted as Ri) and a constant dielectric. This should make the computation less expensive
MMGBSA (Molecular Mechanics Generalized Born Surface Area) and MMPBSA (Molecular Mechanics Poisson-Boltzmann Surface Area) are both computational methods used to estimate the free binding energy of protein-ligand complexes in drug design studies. While they share some similarities, there are key differences between these two approaches:
Solvation model: MMGBSA uses the Generalized Born (GB) model to calculate the polar solvation energy. MMPBSA uses the Poisson-Boltzmann (PB) equation to calculate the polar solvation energy.
Computational efficiency: MMGBSA is generally faster and computationally less expensive. MMPBSA is more computationally intensive due to the complexity of solving the PB equation.
Accuracy: MMPBSA is often considered more accurate, especially for highly charged systems or those with significant electrostatic contributions. MMGBSA can provide reasonably accurate results for many systems and is often sufficient for relative binding free energy calculations.
Handling of explicit water molecules: MMGBSA typically does not include explicit water molecules in the calculation. MMPBSA can incorporate a limited number of explicit water molecules, which can be important for some systems.
Parameterization: MMGBSA requires fewer parameters and is generally easier to set up. MMPBSA may require more careful parameterization, especially for the dielectric constants and grid spacing.
Sensitivity to conformational changes: MMGBSA is often less sensitive to small conformational changes. MMPBSA can be more sensitive to structural variations, potentially providing a more detailed energy landscape.
Treatment of long-range electrostatics: MMGBSA may not capture long-range electrostatic interactions as accurately as MMPBSA. MMPBSA generally provides a more rigorous treatment of long-range electrostatic effects.
Applicability to different types of complexes: MMGBSA is often preferred for protein-ligand complexes and small to medium-sized systems. MMPBSA may be more suitable for larger systems, protein-protein interactions, or highly charged complexes.