see SI for derivation. These conditions were always imposed in numerical simulations to guarantee thermodynamic consistency. Local Detailed Balance: In Fig. , variations in the power stroke magnitude have been related to changes in the ratio of shutting rate constants by virtue of the so-called "principle of local detailed balance" (see below), which relates the log-ratio of forward and backward rate constants of a single chemical reaction to the difference in standard chemical potentials between its reagents and products 42 (see SI equation S.33). For instance, it implies the relation