Hybrid stochastic simplifications for multiscale gene networks
نویسندگان
چکیده
منابع مشابه
Adaptive hybrid simulations for multiscale stochastic reaction networks.
The probability distribution describing the state of a Stochastic Reaction Network (SRN) evolves according to the Chemical Master Equation (CME). It is common to estimate its solution using Monte Carlo methods such as the Stochastic Simulation Algorithm (SSA). In many cases, these simulations can take an impractical amount of computational time. Therefore, many methods have been developed that ...
متن کاملStochastic Hybrid Models of Gene Regulatory Networks
A widely used approach to describe the dynamics of gene regulatory networks is based on the chemical master equation, which considers probability distributions over all possible combinations of molecular counts. The analysis of such models is extremely challenging due to their large discrete state space. We therefore propose a hybrid approximation approach based on a system of partial different...
متن کاملHybrid, Multiscale Monte Carlo Algorithm for Simulating Stochastic Systems
INTRODUCTION Accurately relating the physiological outcome of a cell to the molecular events, based on an in silico analysis of intracellular networks, requires not only a precise knowledge of the network, but also an appropriate simulation technique. Traditionally, the methods used to temporally evolve intracellular networks have been deterministic in nature. However, deterministic methods can...
متن کاملBIOCOMP’11 Stability Analysis of Hybrid Stochastic Gene Regulatory Networks
Gene regulatory networks (GRNs) represent complex nonlinear coupled dynamical systems that models gene functions and regulations at the system level. Previous research has described GRNs as coupled nonlinear systems under parametric perturbations without considering the important aspect of stochasticity. However, a realistic model of a GRN is that of a hybrid stochastic retarded system that rep...
متن کاملConvergence of stochastic gene networks to hybrid piecewise deterministic processes
We study the asymptotic behavior of multiscale stochastic gene networks using weak limits of Markov jump processes. Depending on the time and concentration scales of the system we distinguish four types of limits: continuous piecewise deterministic processes (PDP) with switching, PDP with jumps in the continuous variables, averaged PDP, and PDP with singular switching. We justify rigorously the...
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: BMC Systems Biology
سال: 2009
ISSN: 1752-0509
DOI: 10.1186/1752-0509-3-89