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The stochastic evolution of a protocell. The Gillespie algorithm in a dynamically varying volume

by Timoteo Carletti, Alessandro Filisetti
Computational and Mathematical Methods in Medicine (2011)

Abstract

In the present paper 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 protocells models are considered and compared with the deterministic models.

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