Statistics of single-molecule measurements: applications in flow-cytometry sizing of DNA fragments.

BACKGROUND: The measurement of physical properties from single molecules has been demonstrated. However, the majority of single-molecule studies report values based on relatively large data sets (e.g., N > 50). While there are studies that report physical quantities based on small sample sets, there has not been a detailed statistical analysis relating sample size to the reliability of derived parameters. METHODS: Monte Carlo simulations and multinomial analysis, dependent on quantifiable experimental parameters, were used to determine the minimum number of single-molecule measurements required to produce an accurate estimate of a population mean. Simulation results were applied to the fluorescence-based sizing of DNA fragments by ultrasensitive flow cytometry (FCM). RESULTS: Our simulations show, for an analytical technique with a 10% CV, that the average of as few as five single-molecule measurements would provide a mean value within one SD of the population mean. Additional simulations determined the number of measurements required to obtain the desired number of replicates for each subpopulation within a mixture. Application of these results to flow cytometry data for lambda/HindIII and S. aureus Mu50/SmaI DNA digests produced accurate DNA fingerprints from as few as 98 single-molecule measurements. CONCLUSIONS: A surprisingly small number of single-molecule measurements are required to obtain a mean measurement descriptive of a normally-distributed parent population.

Performance assessment of DNA fragment sizing by high-sensitivity flow cytometry and pulsed-field gel electrophoresis.

The sizing of restriction fragments is the chief analytical technique utilized in the production of DNA fingerprints. Few techniques have been able to compete with pulsed-field gel electrophoresis (PFGE), which is capable of discriminating among bacteria at species and strain levels by resolving restriction fragments. However, an ultrasensitive flow cytometer (FCM) developed in our lab has also demonstrated the ability to discriminate bacteria at species and strain levels. The abilities of FCM warrant a quantitative parallel comparison with PFGE to assess and evaluate the accuracy and precision of DNA fragment sizing by both techniques. Replicate samples of Staphylococcus aureus Mu50 were analyzed along with two clinical S. aureus isolates. The absolute fragment sizing accuracy was determined for PFGE (5% +/- 2%) and FCM (4% +/- 4%), with sequence-predicted Mu50 SmaI fragment sizes used as a reference. Precision was determined by simple arithmetic methods (relative standard deviation for PFGE [RSD(PFGE) ] = 3% +/- 2% and RSD(FCM) = 1.2% +/- 0.8%) as well as by the use of dendrograms derived from Dice coefficient-unweighted pair group method with arithmetic averages (UPGMA) and Pearson-UPGMA analyses. All quantitative measures of PFGE and FCM precision were equivalent, within error. The precision of both methods was not limited by any single sample preparation or analysis step that was tracked in this study. Additionally, we determined that the curve-based clustering of fingerprint data provided a more informative and useful assessment than did traditional band-based methods.