 Approximate accelerated stochastic simulation of chemically reacting systems by Daniel T. Gillespie

Journal of Chemical Physics 115, 1716–1733. By Daniel T. Gillespie.

Primary text indexed at Author paper, section II, equations (5)–(9): joint next-reaction density, total propensity, factorization and the direct method. The indexed passage was inspected; the direct PDF URL returned 404 on 2026-11-02. Title, byline and DOI were independently checked against the indexed publisher PDF at moodle2.units.it/pluginfile.php/293921/mod_resource/content/1/Gillespie_2001_Approximate_accelerated_stochastic_simulation_of_chemically_reacting_systems.pdf . The exact algorithm review in section II is cited, rather than the later approximate tau-leaping construction.