Sentence examples for master equations and from inspiring English sources

These moments are derived from both the hierarchical master equations and the equivalent Fokker-Planck approximation.

In this paper, we consider models of GRN based on chemical master equations and study the problem of estimating stochastic rate constants therein.

The resulting expressions, both master equations and rate equations, were integrated numerically using a numerical integrator.

We solved a truncated system of Master equations and showed that the solution agrees with the mean-field approximation for the whole range of the adiabaticity parameter.

In fact, each variable can be derived from a set of master equations and complete parity can be brought to all three acid base approaches.

Gaveau, B. & Schulman, L. A general framework for non-equilibrium phenomena: The master equation and its formal consequences.

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

Therefore, the existence of these emergent subspaces relies on exactly the same physical approximations as the master equation and is simply one of the properties of Markovian open systems.

The program employs an Adams predictor formula second order in time to integrate the quantum optical master equation and a Lax Wendroff scheme second order in space and time to evolve the wave equations for the fields.

The methods developed so far integrate on the one side the theory of probabilistic systems (master equation) and of nonlinear dynamics, and on the other side overarching concepts (such as dynamic utilities) from the social sciences.

Instead, we suggest that one should use a mean first passage time expression derived from a master equation, and show how this approach can be used to glean information about the underlying dynamics of barrier crossing.