Stochastic models for chemically reacting systems using polynomial stochastic hybrid systems
نویسندگان
چکیده
منابع مشابه
Stochastic Models for Chemically Reacting Systems Using Polynomial Stochastic Hybrid Systems
A stochastic model for chemical reactions is presented, which represents the population of various species involved in a chemical reaction as the continuous state of a polynomial Stochastic Hybrid System (pSHS). pSHSs correspond to stochastic hybrid systems with polynomial continuous vector fields, reset maps, and transition intensities. We show that for pSHSs, the dynamics of the statistical m...
متن کاملApproximate Stochastic Models for Chemically Reacting Systems
In the stochastic formulation of chemical reactions, the time evolution of the first M order statistical moments for the number of molecules of the different species involved is generally not closed, in the sense that they depend on moments of order higher than M. For analysis purposes, the time evolution of the first M order moments is often made to be closed by approximating the higher order ...
متن کاملPolynomial Stochastic Hybrid Systems
Abstract. This paper deals with polynomial stochastic hybrid systems (pSHSs), which generally correspond to stochastic hybrid systems with polynomial continuous vector fields, reset maps, and transition intensities. For pSHSs, the dynamics of the statistical moments of the continuous states evolve according to infinitedimensional linear ordinary differential equations (ODEs). We show that these...
متن کاملApproximate accelerated stochastic simulation of chemically reacting systems
The stochastic simulation algorithm ~SSA! is an essentially exact procedure for numerically simulating the time evolution of a well-stirred chemically reacting system. Despite recent major improvements in the efficiency of the SSA, its drawback remains the great amount of computer time that is often required to simulate a desired amount of system time. Presented here is the ‘‘t-leap’’ method, a...
متن کاملMultiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems
In this paper, we introduce a multiscale stochastic simulation algorithm (MSSA) which makes use of Gillespie s stochastic simulation algorithm (SSA) together with a new stochastic formulation of the partial equilibrium assumption (PEA). This method is much more efficient than SSA alone. It works even with a very small population of fast species. Implementation details are discussed, and an appl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Robust and Nonlinear Control
سال: 2005
ISSN: 1049-8923,1099-1239
DOI: 10.1002/rnc.1017