Results of the method described by Rollins et al.21 employed on synthetic data sets. (a) Synthetic time traces were generated using Gillespie algorithm with photophysical rates kb = 1.0, kd = 10.0, kr = 0.1, ka = 0.5 (see Figure 17) for each of 5 fluorophores. In maximizing the likelihood, photophysical rates as well as the fluorophore numbers may be simultaneously inferred. The results of this inference (shown as histograms) closely match the theoretical expected answer (dotted line) despite the fact that overlapping events were very probable for this choice of photophysical parameters. (b) Same as in (a), except that the effect of missed events has been taken into consideration, resulting in a substantial improvement in accuracy. Assumptions made in creating these data sets are discussed in the original publication, ref 21. Adapted with permission from Geoffrey C. Rollins, Jae Yen Shin, Carlos Bustamante, and Steve Pressé. “Stochastic approach to the molecular counting problem in superresolution microscopy.” Proceedings of the National Academy of Sciences 112, no. 2 (Dec 22, 2014): E110–E118.