Approximate accelerated stochastic simulation of chemically reacting systems by Daniel T. Gillespie (2001, 10.1063/1.1378322)

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.