We describe here and discuss in detail the model of random Boolean networks (RBNs). Although these models have been widely studied, they still present some unexpected mathematical features, and we discuss in particular their stability properties, introducing and commenting a new measure (attractor sensitivity) that seems particularly relevant for their application to the dynamics of gene regulatory networks. We also review some results that show that RBNs can properly account for data on perturbations induced by gene knock-out in real organisms. Moreover, we show that this comparison between model and data also sheds light on the important hypothesis that living beings tend to live in, or close to, critical states. Last but not least, we show that adding noise to RBNs can lead to a nice model of cell differentiation

Attractors Perturbations in Biological Modelling: Avalanches and Cellular Differentiation / Villani, Marco; Serra, Roberto. - STAMPA. - (2014), pp. 59-76. [10.1007/978-3-642-37577-4_4]

Attractors Perturbations in Biological Modelling: Avalanches and Cellular Differentiation

VILLANI, Marco;SERRA, Roberto
2014

Abstract

We describe here and discuss in detail the model of random Boolean networks (RBNs). Although these models have been widely studied, they still present some unexpected mathematical features, and we discuss in particular their stability properties, introducing and commenting a new measure (attractor sensitivity) that seems particularly relevant for their application to the dynamics of gene regulatory networks. We also review some results that show that RBNs can properly account for data on perturbations induced by gene knock-out in real organisms. Moreover, we show that this comparison between model and data also sheds light on the important hypothesis that living beings tend to live in, or close to, critical states. Last but not least, we show that adding noise to RBNs can lead to a nice model of cell differentiation
2014
Evolution, Complexity and Artificial Life
9783642375767
Springer Berlin Heidelberg
GERMANIA
Attractors Perturbations in Biological Modelling: Avalanches and Cellular Differentiation / Villani, Marco; Serra, Roberto. - STAMPA. - (2014), pp. 59-76. [10.1007/978-3-642-37577-4_4]
Villani, Marco; Serra, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1010513
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