# American Institute of Mathematical Sciences

October  2011, 4(5): 1247-1266. doi: 10.3934/dcdss.2011.4.1247

## Breather-mediated energy transfer in proteins

 1 Centre de Biophysique Moleculaire (CBM-CNRS), University of Orleans, Rue Charles Sadron, 45071 Orleans, France 2 Laboratoire Biotechnologie, Biocatalyse et Biorégulation, UMR 6204 du CNRS, Faculté des Sciences et des Techniques, 2, rue de la Houssinière, 44322 Nantes Cedex 3, France

Received  September 2009 Revised  December 2009 Published  December 2010

In this paper we investigate how energy is redistributed across protein structures, following localized kicks, within the framework of a nonlinear network model. We show that energy is directed most of the times to a few specific sites, systematically within the stiffest regions. This effect is sharpened as the energy of the kicks is increased, with fractions of transferred energy as high as 70% already for kicks above $20$ kcal/mol. Remarkably, we show that such site-selective, high-yield transfers mark the spontaneous formation of spatially localized, time-periodic vibrations at the target sites, acting as efficient energy-collecting centers. A comparison of our simulations with a previously developed theory reveals that such energy-pinning modes are discrete breathers, able to carry energy across the structure in an quasi-coherent fashion by jumping from site to site.
Citation: Francesco Piazza, Yves-Henri Sanejouand. Breather-mediated energy transfer in proteins. Discrete & Continuous Dynamical Systems - S, 2011, 4 (5) : 1247-1266. doi: 10.3934/dcdss.2011.4.1247
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