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We used single-molecule imaging techniques and measured the one-dimensional diffusion of LacI repressor proteins along elongated DNA to address the long-standing puzzle of why some proteins find their targets faster than allowed by 3D diffusion. Our analysis of the LacI transcription factor's diffusion yielded four main results: (1) LacI diffuses along nonspecific sequences of DNA in the form of 1D Brownian motion; (2) the observed 1D diffusion coefficients D₁ vary over an unexpectedly large range, from 2.3×10^-12 cm²/s to 1.3×10^-9 cm²/s; (3) the lengths of DNA covered by these 1D diffusions vary from 120 nm to 2920 nm; and (4) the mean values of D₁ and the diffusional lengths indeed predict a LacI target binding rate 90 times faster than the 3D diffusion limit.
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Wang et al. (2006) studied this question.
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