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Peer-Reviewed Article December 31, 2011

The Stochastic Evolution of a Protocell: The Gillespie Algorithm in a Dynamically Varying Volume

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Published in: Computational and Mathematical Methods in Medicine
Publisher: Hindawi Publishing Corporation • Egypt • 1748-670X
DOI: https://doi.org/10.1155/2012/423627

Abstract

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.

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