منابع مشابه
Slow Scale Tau-leaping Method.
For chemical systems involving both fast and slow scales, stiffness presents challenges for efficient stochastic simulation. Two different avenues have been explored to solve this problem. One is the slow-scale stochastic simulation (ssSSA) based on the stochastic partial equilibrium assumption. The other is the tau-leaping method. In this paper we propose a new algorithm, the slow-scale tau-le...
متن کاملAdaptive explicit-implicit tau-leaping method with automatic tau selection.
The existing tau-selection strategy, which was designed for explicit tau leaping, is here modified to apply to implicit tau leaping, allowing for longer steps when the system is stiff. Further, an adaptive strategy that identifies stiffness and automatically chooses between the explicit and the (new) implicit tau-selection methods to achieve better efficiency is proposed. Numerical testing demo...
متن کاملTau Leaping Stochastic Simulation Method in P Systems
Stochastic simulations based on the tau leaping method are applicable to well stirred chemical reaction systems occurring inside a single fixed volume. In this paper we propose a novel method, based on the tau leaping procedure, for the simulation of complex systems composed by several communicating regions. The new method is here applied to dynamical probabilistic P systems, which are characte...
متن کاملEfficient step size selection for the tau-leaping simulation method.
The tau-leaping method of simulating the stochastic time evolution of a well-stirred chemically reacting system uses a Poisson approximation to take time steps that leap over many reaction events. Theory implies that tau leaping should be accurate so long as no propensity function changes its value "significantly" during any time step tau. Presented here is an improved procedure for estimating ...
متن کاملThe Adaptive Explicit-Implicit Tau-Leaping Method with Automatic Tau Selection
The existing tau-selection strategy, which was designed for explicit tau-leaping, is here modified to apply to implicit tau-leaping, allowing for longer steps when the system is stiff. Further, an adaptive strategy is proposed that identifies stiffness and automatically chooses between the explicit and the (new) implicit tau-selection methods to achieve better efficiency. Numerical testing demo...
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2008
ISSN: 0045-7825
DOI: 10.1016/j.cma.2008.02.024