Analysing dynamical behavior of cellular networks via stochastic bifurcations

  • The dynamical structure of genetic networks determines the occurrence of various biological mechanisms, such as cellular differentiation. However, the question of how cellular diversity evolves in relation to the inherent stochasticity and intercellular communication remains still to be understood. Here, we define a concept of stochastic bifurcations suitable to investigate the dynamical structure of genetic networks, and show that under stochastic influence, the expression of given proteins of interest is defined via the probability distribution of the phase variable, representing one of the genes constituting the system. Moreover, we show that under changing stochastic conditions, the probabilities of expressing certain concentration values are different, leading to different functionality of the cells, and thus to differentiation of the cells in the various types.

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Author:Anna Zakharova, Jürgen KurthsORCiDGND, Tatyana Vadivasova, Aneta Koseska
ISSN:1932-6203 (print)
Parent Title (English):PLoS one
Place of publication:San Fransisco
Document Type:Article
Year of first Publication:2011
Year of Completion:2011
Release Date:2017/03/26
Funder:Federal Ministry of Education and Research [0313924]; Federal Ministry of Education and Science of the Russian Federation [14.740.11.0074]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Publication Way:Open Access