Carletti, Timoteo, and Alessandro Filisetti. “The stochastic evolution of a protocell: The Gillespie algorithm in a dynamically varying volume.” Computational and mathematical methods in medicine 2012 (2012).
URL1 URL2
We propose an improvement of the Gillespie algorithm allowing us to study the time evolution of an ensemble of chemical reactions occurring in a varying volume, whose growth is directly related to the amount of some specific molecules, belonging to the reactions set. This allows us to study the stochastic evolution of a protocell, whose volume increases because of the production of container molecules. Several protocell models are considered and compared with the deterministic models.