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A Boolean network (BN) with $n$ components is a discrete dynamical system described by the successive iterations of a function $f:\{0,1\}^n \to \{0,1\}^n$. This model finds applications in biology, where fixed points play a central role.…

Combinatorics · Mathematics 2022-02-10 Florian Bridoux , Amélia Durbec , Kévin Perrot , Adrien Richard

We consider a simplified model for gene regulation, where gene expression is regulated by transcription factors (TFs), which are single proteins or protein complexes. Proteins are in turn synthesised from expressed genes, creating a…

Molecular Networks · Quantitative Biology 2020-07-15 Giuseppe Torrisi , Reimer Kühn , Alessia Annibale

Progress in cell type reprogramming has revived the interest in Waddington's concept of the epigenetic landscape. Recently researchers developed the quasi-potential theory to represent the Waddington's landscape. The Quasi-potential U(x),…

Molecular Networks · Quantitative Biology 2016-05-09 Joseph Xu Zhou , Areejit Samal , Aymeric Fouquier d'Hèrouël , Nathan D. Price , Sui Huang

While Artificial Neural Networks (ANNs) have yielded impressive results in the realm of simulated intelligent behavior, it is important to remember that they are but sparse approximations of Biological Neural Networks (BNNs). We go beyond…

Neural and Evolutionary Computing · Computer Science 2021-03-30 Krishna Katyal , Jesse Parent , Bradly Alicea

After a few decades of development, computational argumentation has become one of the active realms in AI. This paper considers extension-based concrete and abstract semantics of argumentation. For concrete ones, based on Grossi and…

Artificial Intelligence · Computer Science 2021-05-21 Lixing Tan , Zhaohui Zhu , Jinjin Zhang

The significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

Neural and Evolutionary Computing · Computer Science 2013-06-21 Larry Bull

Boolean networks (BNs) are widely used to model the qualitative dynamics of biological systems. Besides the logical rules determining the evolution of each component with respect to the state of its regulators, the scheduling of component…

Logic in Computer Science · Computer Science 2019-06-03 Thomas Chatain , Stefan Haar , Juraj Kolčák , Loïc Paulevé , Aalok Thakkar

Boolean networks can be viewed as functions on the set of binary strings of a given length, described via logical rules. They were introduced as dynamic models into biology, in particular as logical models of intracellular regulatory…

Dynamical Systems · Mathematics 2025-04-16 J. García Galofre , M. Pérez Millán , A. Galarza Rial , R. Laubenbacher , A. Dickenstein

Argumentation is an important topic of AI for modelling and reasoning about arguments. In abstract argumentation, we consider directed graphs, so-called argumentation frameworks (AF), that express conflicts between arguments. The semantics…

Artificial Intelligence · Computer Science 2026-05-14 Johannes K. Fichte , Markus Hecher , Yasir Mahmood , Zhengjun Wang

Binarization of gene expression data is a \textbf{critical prerequisite} for the synthesis of Boolean gene regulatory network (GRN) models from omics datasets. Because Boolean networks encode gene activity as binary variables, the accuracy…

Discrete Mathematics · Computer Science 2025-10-21 Ismail Belgacem , Franck Delaplace

There is a growing body of work considering the use of representations based upon genetic regulatory networks. This paper uses a recently presented abstract, tunable Boolean regulatory network model to explore aspects of mobile DNA, such as…

Emerging Technologies · Computer Science 2013-03-29 Larry Bull

Artificial intelligence (AI), propelled by advancements in machine learning, has made significant strides in solving complex tasks. However, the current neural network-based paradigm, while effective, is heavily constrained by inherent…

Artificial Intelligence · Computer Science 2025-06-17 Zeki Doruk Erden , Boi Faltings

Regulatory networks consist of interacting molecules with a high degree of mutual chemical specificity. How can these molecules evolve when their function depends on maintenance of interactions with cognate partners and simultaneous…

Populations and Evolution · Quantitative Biology 2017-11-01 Tamar Friedlander , Roshan Prizak , Nicholas H. Barton , Gašper Tkačik

Genes are fundamental for analyzing biological systems and many recent works proposed to utilize gene expression for various biological tasks by deep learning models. Despite their promising performance, it is hard for deep neural networks…

Machine Learning · Computer Science 2023-04-12 Xinnan Dai , Caihua Shan , Jie Zheng , Xiaoxiao Li , Dongsheng Li

Humans excel at continually acquiring, consolidating, and retaining information from an ever-changing environment, whereas artificial neural networks (ANNs) exhibit catastrophic forgetting. There are considerable differences in the…

Neural and Evolutionary Computing · Computer Science 2023-04-17 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

Networks of gene regulation govern morphogenesis, determine cell identity and regulate cell function. But we have little understanding, at the local level, of which logics are biologically preferred or even permitted. To solve this puzzle,…

Molecular Networks · Quantitative Biology 2022-09-02 Thomas M. A. Fink , Ryan Hannam

We investigate the evolution of Boolean networks subject to a selective pressure which favors robustness against noise, as a model of evolved genetic regulatory systems. By mapping the evolutionary process into a statistical ensemble and…

Disordered Systems and Neural Networks · Physics 2012-04-11 Tiago P. Peixoto

Complex systems are often modeled as Boolean networks in attempts to capture their logical structure and reveal its dynamical consequences. Approximating the dynamics of continuous variables by discrete values and Boolean logic gates may,…

Molecular Networks · Quantitative Biology 2013-05-29 Johannes Norrell , Joshua E. S. Socolar

In biological evolution complex neural structures grow from a handful of cellular ingredients. As genomes in nature are bounded in size, this complexity is achieved by a growth process where cells communicate locally to decide whether to…

Neural and Evolutionary Computing · Computer Science 2024-05-15 Eleni Nisioti , Erwan Plantec , Milton Montero , Joachim Winther Pedersen , Sebastian Risi

We offer a general theoretical framework for brain and behavior that is evolutionarily and computationally plausible. The brain in our abstract model is a network of nodes and edges. Although it has some similarities to standard neural…

Artificial Intelligence · Computer Science 2022-04-12 Joseph Y. Halpern , Arnon Lotem