Dynamical criticality: overview and open questions

A Roli, M Villani, A Filisetti, R Serra - Journal of Systems Science and …, 2018 - Springer
Abstract Systems that exhibit complex behaviours are often found in a particular dynamical
condition, poised between order and disorder. This observation is at the core of the so …

Criticality distinguishes the ensemble of biological regulatory networks

BC Daniels, H Kim, D Moore, S Zhou, HB Smith… - Physical review …, 2018 - APS
The hypothesis that many living systems should exhibit near-critical behavior is well
motivated theoretically, and an increasing number of cases have been demonstrated …

Parity and time reversal elucidate both decision-making in empirical models and attractor scaling in critical Boolean networks

JC Rozum, J Gómez Tejeda Zañudo, X Gan… - Science …, 2021 - science.org
We present new applications of parity inversion and time reversal to the emergence of
complex behavior from simple dynamical rules in stochastic discrete models. Our parity …

Dynamical criticality in gene regulatory networks

M Villani, L La Rocca, SA Kauffman, R Serra - Complexity, 2018 - Wiley Online Library
A well‐known hypothesis, with far‐reaching implications, is that biological evolution should
preferentially lead to states that are dynamically critical. In previous papers, we showed that …

[图书][B] Modelling protocells

R Serra, M Villani - 2017 - Springer
It took quite a long time to complete this book. More than 20 years had elapsed since I wrote
my last volume as an author, not just as an editor. And I felt it important to find again the …

The impact of self-loops on Boolean networks attractor landscape and implications for cell differentiation modelling

S Montagna, M Braccini, A Roli - IEEE/ACM transactions on …, 2020 - ieeexplore.ieee.org
Boolean networks are a notable model of gene regulatory networks and, particularly,
prominent theories discuss how they can capture cellular differentiation processes. One …

Identifying critical states through the relevance index

A Roli, M Villani, R Caprari, R Serra - Entropy, 2017 - mdpi.com
The identification of critical states is a major task in complex systems, and the availability of
measures to detect such conditions is of utmost importance. In general, criticality refers to the …

Attractor-specific and common expression values in random Boolean network models (with a preliminary look at single-cell data)

M Villani, G D'Addese, SA Kauffman, R Serra - Entropy, 2022 - mdpi.com
Random Boolean Networks (RBNs for short) are strongly simplified models of gene
regulatory networks (GRNs), which have also been widely studied as abstract models of …

Asymptotic information-theoretic detection of dynamical organization in complex systems

G D'Addese, L Sani, L La Rocca, R Serra, M Villani - Entropy, 2021 - mdpi.com
The identification of emergent structures in complex dynamical systems is a formidable
challenge. We propose a computationally efficient methodology to address such a …

Dynamical properties of a gene-protein model

D Sapienza, M Villani, R Serra - … 2017, Venice, Italy, September 19-21 …, 2018 - Springer
A major limitation of the classical random Boolean network model of gene regulatory
networks is its synchronous updating, which implies that all the proteins decay at the same …