An accurate and efficient tau-leaping procedure for the simulation of chemical reaction systems

@misc{citeulike:1533378, abstract = {By explicitly representing well-stirred chemical reaction systems with independent, unit Poisson processes we develop a new adaptive tau-leaping procedure. The procedure developed is novel in that we enforce any leap condition via a post-leap check as opposed to performing a pre-leap tau selection. Further, we perform the post-leap check in such a way that the statistics of the sample paths generated will not be skewed by the rejection of a leap. By performing a post-leap check to ensure accuracy, the method developed in this paper is guaranteed to never produce negative population values. The efficiency of the method developed here is demonstrated on a model of a decaying dimer.}, author = {Anderson, David F. }, citeulike-article-id = {1533378}, eprint = {0708.0377}, keywords = {stochastic\_simulations}, month = {Aug}, posted-at = {2007-08-09 14:16:33}, priority = {2}, title = {An accurate and efficient tau-leaping procedure for the simulation of chemical reaction systems}, url = {http://arxiv.org/abs/0708.0377}, year = {2007} }

TY - ELEC ID - citeulike:1533378 L3 - citeulike-article-id:1533378 N2 - By explicitly representing well-stirred chemical reaction systems with independent, unit Poisson processes we develop a new adaptive tau-leaping procedure. The procedure developed is novel in that we enforce any leap condition via a post-leap check as opposed to performing a pre-leap tau selection. Further, we perform the post-leap check in such a way that the statistics of the sample paths generated will not be skewed by the rejection of a leap. By performing a post-leap check to ensure accuracy, the method developed in this paper is guaranteed to never produce negative population values. The efficiency of the method developed here is demonstrated on a model of a decaying dimer. TI - An accurate and efficient tau-leaping procedure for the simulation of chemical reaction systems KW - stochastic_simulations AU - Anderson, David PY - 2007/Aug/02/ UR - http://arxiv.org/abs/0708.0377 ER -