“…A stochastic model can be used to describe the operation of molecular machines, which links allosteric motions and chemical reactions to changes in free energy. (Elber and Karplus, 1987;Jülicher and Bruinsma, 1998;Keller and Bustamante, 2014;Kurzynski and Chelminiak, 2014;Lazaridis and Karplus, 1999;Tsai, 2008) Such descriptions include the following phenomena: the closing of ligand binding clefts, (McCammon et al, 1976) rotations of subdomains, (De Groot et al, 1998;Noji et al, 1997) twisting of subunits, binding and unbinding of ligands, (Ghanouni et al, 2001;Lau and Roux, 2007;Ma et al, 2000;Ravindranathan et al, 2005) the metabolism of substrates (enzymes), (Rout et al, 2014) and the movement of proteins through lipid domains. (Wang et al, 2014) Each machine has a small number of key conformational degrees of freedom linked to these motions and chemical reactions, which result in the observable functional states (discrete states) of the protein.…”