Quantitative spectroscopy of single molecule interaction times

Single molecule fluorescence tracking provides information at nanometer-scale and millisecond-temporal resolution about the dynamics interaction of individual molecules in a biological environment. While dynamic behavior isolated can be characterized well, quantitative insight is more limited when interactions between two indistinguishable occur. We address this aspect by developing theoretical foundation for spectroscopy times, i.e., inference from imaging data. A non-trivial crossover power law to an exponential distribution times highlighted, together with dependence term upon microscopic reaction affinity. Our approach validated simulated experimental datasets.