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Originally published as Biophys J. BioFAST on February 3, 2006.
doi:10.1529/biophysj.105.078162
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Biophysical Journal 90:2731-2744 (2006)
© 2006 The Biophysical Society

How Proteins Search for Their Specific Sites on DNA: The Role of DNA Conformation

Tao Hu *, A. Yu. Grosberg * and B. I. Shklovskii * {dagger}

* Department of Physics, and {dagger} William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota

Correspondence: Address reprint requests to A. Yu. Grosberg, E-mail: grosberg{at}physics.umn.edu.

It is known since the early days of molecular biology that proteins locate their specific targets on DNA up to two orders-of-magnitude faster than the Smoluchowski three-dimensional diffusion rate. An accepted explanation of this fact is that proteins are nonspecifically adsorbed on DNA, and sliding along DNA provides for the faster one-dimensional search. Surprisingly, the role of DNA conformation was never considered in this context. In this article, we explicitly address the relative role of three-dimensional diffusion and one-dimensional sliding along coiled or globular DNA and the possibility of correlated readsorption of desorbed proteins. We have identified a wealth of new different scaling regimes. We also found the maximal possible acceleration of the reaction due to sliding. We found that the maximum on the rate-versus-ionic strength curve is asymmetric, and that sliding can lead not only to acceleration, but also in some regimes to dramatic deceleration of the reaction.




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