Sentence examples for master equations for from inspiring English sources

Huang, G. R., Saakian, D. B. & Hu, C. K. Accurate analytic solution of chemical master equations for gene regulation networks in a single cell.

This is realized from the information of the steady-state probabilities by solving a discrete set of kinetic master equations for the network.

The scheme is derived from the master equations for the evolution of the probability density of a sum of discrete time random walks.

First, we describe the enthalpy landscape approach, which uses inherent structure and transition point mapping to develop a set of coarse-grained master equations for computing long time dynamics.

The master equations for the model are examined, and we assess the difference between the implementation in which a single particle at a time moves (asynchronous dynamics) and one implementation in which all particles move simultaneously (synchronous dynamics).

Using the numerical data obtained, we were able to construct master equations for the friction loss coefficient, K, as a function of the Reynolds number and the relevant dimensionless rheological parameter.

The master equation for a density matrix of the cavity field is solved analytically in the Heisenberg picture.

Georgievskii, Y., Miller, J. A., Burke, M. P. & Klippenstein, S. J. Reformulation and solution of the master equation for multiple-well chemical reactions.

This method is based on microscopic interactions of many constituents and the master equation for magnetic probability distribution function is solved symbolically.

Whereas the former one allows to efficiently describe extrinsic and external fluctuations as stochastic inputs to the model equations, the latter provides an efficient approximation to the solution of the chemical master equation for describing stochasticity in the biochemical reactions.

The present work has adopted the stochastic population balance of the system to derive the master equation for predicting the statistics of this molecular weight distribution of tar as functions of time.