I first stumbled upon OPIG blogs through a post on ligand-binding thermodynamics, which refreshed my understanding of some thermodynamics concepts from undergrad, bringing me face-to-face with the concept that made most molecular physics students break out in cold sweats: Entropy. Entropy is that perplexing measure of disorder and randomness in a system. In the context of molecular dynamics simulations (MD), it calculates the conformational freedom and disorder within protein molecules which becomes particularly relevant when calculating binding free energies.

In MD, MM/GBSA and MM/PBSA are fancy terms for trying to predict how strongly molecules stick together and are the go-to methods for binding free energy calculations. MM/PBSA uses the Poisson–Boltzmann (PB) equation to account for solvent polarisation and ionic effects accurately but at a high computational cost. While MM/GBSA approximates PB, using the Generalised Born (GB) model, offering faster calculations suitable for large systems, though with reduced accuracy. Consider MM/PBSA as the careful accountant who considers every detail but takes forever, while MM/GBSA is its faster, slightly less accurate coworker who gets the job done when you’re in a hurry.

Like many before me, I made the classic error of ignoring entropy, assuming that entropy changes that were similar across systems being compared would have their terms cancel out and could be neglected. This would simplify calculations and ease computational constraints (in other words it was too complicated, and I had deadlines breathing down my neck). This worked fine… until it didn’t. The wake-up call came during a project studying metal-isocitrate complexes in IDH1. For context, IDH1 is a homodimer with a flexible ‘hinge’ region that becomes unstable without its corresponding subunit, giving rise to very high fluctuations. By ignoring entropy in this unstable system, I managed to generate binding free energy results that violated several laws of thermodynamics and would make Clausius roll in his grave.

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