Chromatin remodelers: a concise introduction for biophysicists.

Chromatin remodelers are molecular motors that act on nucleosomes: they move them along DNA or (dis-)assemble them. Despite the fact that they perform essential regulatory functions in cells-their deregulation can contribute to the development of cancers and lead to cell death-chromatin remodelers have only received meager attention in the biophysics community so far. In this short text, we attempt to present the key features of this interesting class of enzymes obtained with different experimental and theoretical methods, thereby providing a concise introduction for biophysicists to further stimulate interest in their properties.

Short-time expansion of one-dimensional Fokker-Planck equations with heterogeneous diffusion.

We formulate a short-time expansion for one-dimensional Fokker-Planck equations with spatially dependent diffusion coefficients, derived from stochastic processes with Gaussian white noise, for general values of the discretization parameter 0≤α≤1 of the stochastic integral. The kernel of the Fokker-Planck equation (the propagator) can be expressed as a product of a singular and a regular term. While the singular term can be given in closed form, the regular term can be computed from a Taylor expansion whose coefficients obey simple ordinary differential equations. We illustrate the application of our approach with examples taken from statistical physics and biophysics. Furthermore, we show how our formalism allows us to define a class of stochastic equations which can be treated exactly. The convergence of the expansion cannot be guaranteed independently from the discretization parameter α.