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. Author manuscript; available in PMC: 2014 Aug 30.
Published in final edited form as: Chem Phys. 2012 Aug 14;422:229–237. doi: 10.1016/j.chemphys.2012.08.005

Table 2.

Comparison of the parameters of simulated data obtained from the maximum likelihood method and the donor-acceptor cross correlation function.a

GdmCl (M)
2.5 3 3.5 4 4.5
Maximum
Likelihood
Method		 2-state
simulation		 EF 0.92
( 0.002)		 0.90
( 0.002)		 0.88
( 0.002)		 0.85
( 0.003)		 0.77
( 0.005)
EU 0.57
( 0.007)		 0.56
( 0.005)		 0.50
( 0.003)		 0.47
( 0.003)		 0.43
( 0.003)
k (ms−1) 51.9 ( 1.8) 40.0 ( 1.1) 37.8 ( 0.8) 47.0 ( 1.1) 47.7 ( 1.5)
pF 0.76
( 0.009)		 0.68
( 0.008)		 0.55
( 0.007)		 0.39
( 0.007)		 0.35
( 0.010)
2-state
simulation
with donor
blinking		 EF 0.92
( 0.002)		 0.90
( 0.002)		 0.88
( 0.002)		 0.85
( 0.004)		 0.77
( 0.006)
EU 0.57
( 0.008)		 0.55
( 0.005)		 0.50
( 0.004)		 0.47
( 0.003)		 0.43
( 0.004)
k (ms−1) 53.0 ( 2.0) 39.1 ( 1.2) 37.4 ( 0.9) 47.9 ( 1.2) 48.0 ( 1.6)
pF 0.77
( 0.010)		 0.68
( 0.009)		 0.55
( 0.007)		 0.38
( 0.008)		 0.36
( 0.012)
Donor-
Acceptor
Cross
Correlation		 Calculated
from Eq. 3b 		A 0.15 0.15 0.17 0.14 0.11
2-state
Simulation		 A 0.153
( 0.006)		 0.141
( 0.008)		 0.170
( 0.006)		 0.142
( 0.004)		 0.099
( 0.004)
k (ms−1) 50.7 ( 7.1) 32.1 ( 5.6) 37.0 ( 4.5) 46.8 ( 4.5) 43.0 ( 6.5)
2-state
simulation
with donor
blinking		 A 0.116
( 0.005)		 0.115
( 0.010)		 0.135
( 0.007)		 0.104
( 0.005)		 0.069
( 0.005)
k (ms−1) 38.0 ( 4.4) 25.7 ( 5.3) 27.1 ( 3.7) 31.3 ( 3.6) 27.9 ( 5.1)
a

Errors are standard deviations obtained from the diagonal elements of the covariance matrix calculated from the likelihood function (maximum likelihood method) or chi-square function (donor-acceptor cross-correlation calculation).

b

Using the FRET efficiencies in the first two rows of Table 1, i.e. the maximum likelihood analysis without blinking.