“…QM/MM methods established themselves as one of the primary tools to model biological systems, combining accuracy and computational efficiency. , The perturbed matrix method (PMM) − is a relatively recent QM/MM method that was developed with the aim of reducing the computing time necessary for this kind of calculation, making it suitable for application to complex systems, ranging from simple molecules in solution to protein–DNA complexes. PMM has been successfully applied to reproduce different properties such as the UV–vis spectra, ,, fluorescence spectra, circular dichroism spectra, IR spectra, , and redox potentials. , The method adopts an a posteriori strategy, i.e., the effect of the perturbation on the QM region of interest, typically evaluated from a classical molecular dynamics, is evaluated for every configuration at a very limited computational cost. Such an approach usually requires few quantum mechanical calculations (for a rigid QM region requiring a single calculation), effectively making the time scale of the PMM simulations on par with classical MD simulations for large systems and long trajectories.…”