36 citations · 49 across the 4 of their papers we have counts for
4 papers
Synchronization of Coupled Oscillators -- Phase Transitions and Entropies
Steven Yuvan, Martin Bier
Over the last half century the liquid-gas phase transition and the magnetization phase transition have come to be well understood. After an order parameter, , is defined, it can…
Optimal potentials for diffusive search strategies
Łukasz Kuśmierz, Martin Bier, Ewa Gudowska-Nowak
We consider one dimensional diffusive search strategies subjected to external potentials. The location of a single target is drawn from a given probability density function (PDF) $…
Ion-channel-like behavior in lipid bilayer membranes at the melting transition
Jill Gallaher, Katarzyna Wodzinska, Thomas Heimburg +1
It is well known that at the gel-liquid phase transition temperature a lipid bilayer membrane exhibits an increased ion permeability. We analyze the quantized currents in which the…
How occasional backstepping can speed up a processive motor protein
M. Bier, F. J. Cao
Fueled by the hydrolysis of ATP, the motor protein kinesin literally walks on two legs along the biopolymer microtubule. The number of accidental backsteps that kinesin takes appea…