Dresden 2009 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 7: Poster I
BP 7.18: Poster
Montag, 23. März 2009, 17:45–20:00, P3
Hydrodynamic effects in diffusion-controlled reactions of semiflexible polymers — •Yann von Hansen, Michael Hinczewski, and Roland R. Netz — Physics Dept., Technical Univ. of Munich, Germany
We generalize a mean-field theoretical approach (MFT) for the dynamics of semiflexible polymers [1] that provides insight into the scaling regimes of end-monomer mean squared displacement ⟨ r2(t)⟩ examined in recent fluorescent miscroscopy experiments on DNA. It also has been shown to closely agree with Brownian hydrodynamics simulations. The resulting analytical Green’s function G(r→,t) for individual monomer motion exhibits excellent agreement with simulations, and can be extended to treat the relative motion of freely diffusing particles and the polymer chain. An understanding of this motion is of fundamental importance for a wide spectrum of processes in biology and chemistry, ranging from protein-DNA interaction to polymerization. Using the MFT we analyze a variety of effects which influence the relative motion, including the hydrodynamic coupling of the internal polymer modes as well as the coupling between the polymer and particle. From these we can extract the overall dependence of the protein-DNA association rate as a function of the polymer contour length L and persistence length lp. [1] M. Hinczewski, X. Schlagberger, M. Rubinstein, O. Krichevsky, R.R. Netz, arXiv:0809.0667, Macromolecules in press (2008).