The proteins associated with gene regulation are often shared between multiple pathways simultaneously. By way of contrast, models in regulatory biology often assume these pathways act independently. We demonstrate a framework for calculating the change in gene expression for the interacting case by decoupling repressor occupancy across the cell from the gene of interest by way of a chemical po...

A statistical model of loops on the three-dimensional lattice is proposed and is investigated. It is O(n)-type but has loop fugacity that depends on global three-dimensional shapes of loops in a particular fashion. It is shown that, despite this non-locality and the dimensionality, a layer-to-layer transfer matrix can be constructed as a product of local vertex weights for infinitely many point...

We consider a vertex model in d dimensions characterized by lines which run in a preferred direction. We show that this vertex model is soluble if the weights of vertices with intersecting lines are given by a free-fermion condition, and that a fugacity −1 is associated to each loop of lines. The solution is obtained by mapping the model into a dimer problem and by evaluating a Pfaffian. We als...

By using chiral perturbation theory and the Uehling-Uhlenbeck equation we compute the viscosity of a pion gas, in the low temperature and low density regime, in terms of the temperature and the pion fugacity. The viscosity turns out to be proportional to the square root of the temperature over the pion mass. Next to leading corrections are proportional to the temperature over the pion mass to 3/2.

This note considers the problem of sampling from the set of weighted independent sets of a graph with maximum degree ∆. For a positive fugacity λ, the weight of an independent set σ is λ|σ|. Luby and Vigoda proved that the Glauber dynamics, which only changes the configuration at a randomly chosen vertex in each step, has mixing time O(n log n) when λ < 2 ∆−2 for triangle-free graphs. We extend...

We compute the hard photon production rate of a chemically non-equilibrated quark-gluon plasma. We assume that the plasma is already thermally equili-brated, i. e. describable by a temperature, but with a phase-space distribution that deviates from the Fermi/Bose distribution by a time dependent factor (fugacity). The photon spectrum is obtained by integrating the photon rate over the space-tim...

biotite samples from different units of boroujerd granitoid complex (bgc) of the sanandaj-sirjan zone, western iran, have beenanalyzed by electron microprobe for major elements. biotite analyses from three units of quartzdiorite, granodiorite and monzograniteof bgc have their own distinct non-overlapping compositional fields in the annite – siderophyllite – phlogopite – eastonitequadrilateral (...

The article purpose: to describe in specific terms and enrich the psychological structure of fugitive as a component playfulness / ludic competence on basis theoretical, methodological empirical research. study results has allowed us make following conclusions: 1) based analysed using “fugue” word scientific discourses different fields, we have assumed that was used by Japanese colleagues for o...

We apply isothermal-isobaric Monte Carlo molecular simulation to measure the vapor-phase fugacity coefficients and equation of state of three fixed-charge models of water: SPC/E, MSPC/E, and TIP3P. State conditions correspond to the experimental vapor-liquid saturation pressures for temperatures between 292.65 and 386.85 K. The results are compared to the experimental data for water vapor. We a...