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. Author manuscript; available in PMC: 2007 Nov 13.
Published in final edited form as: J Chem Phys. 2006 Oct 14;125(14):144710. doi: 10.1063/1.2354486

Table 2.

Statistics for concerted motion: N, the number of diffusional jumps for each trajectory based on a cluster analysis; Nf, the number of jumps following another jump within 100ps; Nif, the number of jumps that would be expected from independent Poisson statistics (Eq. 6); π, the probability of a concerted jump (Eq. 7); and the p-value, which is the probability that Nif would have been observed if the jumps were independent (Eq. 8). Lipids were divided into the first shell (r < 8 Å), second shell (8 Å ≤ r < 16 Å) and third shell (16 Å ≤r < 24 Å), with ns the average number of lipids in each shell.

Simulation Shell ns Nf Nif π p-value
72 PME run1 1 5.9 41 23.8 0.045 0.0005
(N=380) 2 18.1 103 72.3 0.081 0.0003
3 31.3 147 125.3 0.057 0.026
72 PME run2 1 5.5 36 19.4 0.047 0.0002
(N=355) 2 18.4 74 64.2 0.028 0.10
3 31.8 95 110.9 0.000 0.93
72 PME run3 1 5.7 27 20.4 0.018 0.063
(N=359) 2 18.8 96 67.0 0.081 0.0003
3 30.9 117 110.3 0.019 0.24
288 PME 1 5.7 20 18.5 0.002 0.31
(N= 683) 2 18.4 80 59.5 0.030 0.005
3 31.6 84 102.3 0.000 0.96