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Realistic modellization for the growth of a yeast colony

Lorenzo Fortunato
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Abstract

An evolving yeast colony is simulated by means of a cellular automaton that takes care of many important features of the system under study. A complete survey of the properties of the colony is done and a set of scaling relations is found, together with the analysis of the critical exponents. The Family-Vicsek relation between them is verified to a good accuracy. A mobility parameter is introduced in order to relate the behaviour of the growth exponent with the temperature and we propose that the brownian motion is a key feature to describe the bacterial and fungi growth process in diluted solutions. The chemical and geometrical correlations are found to play a relevant role in the modellization, so that the need of realism is emphasized. A new phase space built upon the relevant 'thermodinamical' variables is explored.

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Lorenzo Fortunato. 2001-11-20. Realistic modellization for the growth of a yeast colony. https://arxiv.org/abs/cond-mat/0111359

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