Population dynamics on a rugged landscape is studied analytically and numerically within a simple discrete model for evolution of N individuals in one-dimensional fitness space. We reduce the set of master equations to a single Fokker-Plank equation which allows us to describe the dynamics of the population in terms of thermo-activated Langevin diffusion of a single particle in a specific rando...

Ion channels are naturally occurring pores through the proteins that regulate the passage of ions and thus maintain the concentration of ions inside and outside the cell. The ion channels control many physiological functions and they can show selectivity for a specific ion. Ion channels are mostly observed in nerve cells and muscle cells. The influx of ions into cells can be regulated by a gate...

Running Title: Human HMG-CoA Lyase-Mg-Substrate/Inhibitor Structures To whom correspondence should be addressed: Jung-Ja P. Kim, Department of Biochemistry, Medical College of Wisconsin, 8701 Watertown Plank Road, Milwaukee, Wisconsin 53226 Tel.: 414-955-8479 Fax: 414-456-6510, e-mail: [email protected]; Henry M. Miziorko, the Division of Molecular Biology and Biochemistry, University of Missouri-K...

Department of Biochemistry, Max Plank Institute for Chemical Ecology, 07745 Jena, Germany (L.P.W., A.H., B.R., J.G.); Department of Biochemistry, Stellenbosch University, 7602 Stellenbosch, South Africa (J.M.R.); Research Unit Environmental Simulation (EUS), Institute of Biochemical Plant Pathology, Helmholtz Zentrum, 85764 Neuherberg, Germany (A.G., J.-P.S.); and Plant Metabolism and Metabolic...

We obtain and study new Φ-entropy inequalities for diffusion semigroups, with Poincaré or logarithmic Sobolev inequalities as particular cases. From this study we derive the asymptotic behaviour of a large class of linear Fokker-Plank type equations under simple conditions, widely extending previous results. Nonlinear diffusion equations are also studied by means of these inequalities. The Γ2 c...

A numerical study of 3D electrokinetic flows through micromixers was performed. The micromixers considered here consisted of heterogeneous rectangular microchannels with prescribed patterns of zeta-potential at their walls. Numerical simulation of electroosmotic flows within heterogeneous channels requires solution of the Navier-Stokes, Ernest-Plank and species concentration equations. It is kn...

We consider self-propelled particles confined between two parallel plates, moving with a constant velocity while their direction changes by rotational diffusion. The probability distribution of such micro-organisms in environment is singular because accumulate at the boundaries. This leads us to distinguish densities bulk and They satisfy degenerate Fokker–Planck system we propose boundary cond...

LT codes and digital fountain techniques have received significant attention from both academics and industry in the past few years. There have also been extensive interests in applying LT code techniques to distributed storage systems such as cloud data storage in recent years. However, Plank and Thomason’s experimental results show that LDPC code performs well only asymptotically when the num...