Sentence examples for master equation generates from inspiring English sources

Another result our study is that the reduction of the master equation generates multiplicative rather than additive terms in the associated Langevin equation for both intrinsic and extrinsic noise sources.

Finally, we show how a similar analysis can be carried out for another simple population model that exhibits limit cycle oscillations in the deterministic limit, namely, a recurrent excitatory network with synaptic depression; inclusion of synaptic depression into the neural master equation now generates a stochastic hybrid system.

We investigated a general model of a two-gene network, using the chemical master equation and a moment generating function approach.

Finally, we carry out a (1/epsilon -loop expansion of the path integral, and use this to derive corrections to voltage-based mean-field equations, analogous to the modified activity-based equations generated from a neural master equation.

A general master equation set is provided, describing multicomponent adsorption.

To generate stochastic trajectories from the full master equation we use an efficient SSA [24].

By adopting the higher-order derivatives of the master equations as constraints to generate a self-consistent subgrid profile, this solution quickly converges.

However, the most general approach, the chemical master equation [ 67], can hardly be solved numerically for larger systems [ 20].

As a result, our algorithm can generate the full state-transition matrix under the framework of the chemical master equation.

This can be shown either by comparing the path integral representations of the generating functional for both stochastic processes or by comparing the WKB approximation of the master equation and corresponding Fokker-Planck equation.

However, the average over an infinite number of trajectories will always give the solution of the Lindblad master equation.