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The concept of control is crucial for effectively understanding and applying biological network models. Key structural features relate to control functions through gene regulation, signaling, or metabolic mechanisms, and computational…

Molecular Networks · Quantitative Biology 2024-11-05 David Murrugarra , Alan Veliz-Cuba , Elena Dimitrova , Claus Kadelka , Matthew Wheeler , Reinhard Laubenbacher

As a discrete approach to genetic regulatory networks, Boolean models provide an essential qualitative description of the structure of interactions among genes and proteins. Boolean models generally assume only two possible states…

Molecular Networks · Quantitative Biology 2007-05-23 Madalena Chaves , Eduardo D. Sontag , Reka Albert

Despite the significant success of deep learning in computer vision tasks, cross-domain tasks still present a challenge in which the model's performance will degrade when the training set and the test set follow different distributions.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Lei Qi , Dongjia Zhao , Yinghuan Shi , Xin Geng

Bayesian Networks (BN) provide robust probabilistic methods of reasoning under uncertainty, but despite their formal grounds are strictly based on the notion of conditional dependence, not much attention has been paid so far to their use in…

Artificial Intelligence · Computer Science 2013-01-30 Luigi Portinale , Andrea Bobbio

Computational models of biological processes provide one of the most powerful methods for a detailed analysis of the mechanisms that drive the behavior of complex systems. Logic-based modeling has enhanced our understanding and…

Molecular Networks · Quantitative Biology 2022-02-08 John Zobolas , Pedro T. Monteiro , Martin Kuiper , Åsmund Flobak

Given a conjunctive Boolean network (CBN) with $n$ state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is…

Data Structures and Algorithms · Computer Science 2020-06-09 Eyal Weiss , Michael Margaliot , Guy Even

A "path-based sensor" produces a single observation along a continuous path. For example, a boolean path-based sensor returns a single "1" if an event of interest is detected at any point along the path and a "0" otherwise. Notably, a "1"…

Robotics · Computer Science 2026-05-19 Alkesh K. Srivastava , George P. Kontoudis , Donald Sofge , Michael Otte

Boolean network models of molecular regulatory networks have been used successfully in computational systems biology. The Boolean functions that appear in published models tend to have special properties, in particular the property of being…

Dynamical Systems · Mathematics 2024-07-09 Yuan Li , John O. Adeyeye , David Murrugarra , Boris Aguilar , Reinhard Laubenbacher

Boolean threshold networks have recently been proposed as useful tools to model the dynamics of genetic regulatory networks, and have been successfully applied to describe the cell cycles of \textit{S. cerevisiae} and \textit{S. pombe}.…

Chaotic Dynamics · Physics 2010-11-18 Jorge G. T. Zañudo , Maximino Aldana , Gustavo Martínez-Mekler

In the context of discrete dynamical systems and their applications, fixed points often have a clear interpretation. This is indeed a central topic of gene regulatory mechanisms modeled by Boolean automata networks (BANs), where a…

Discrete Mathematics · Computer Science 2025-07-29 Kévin Perrot , Sylvain Sené , Léah Tapin

Interacting biological systems at all organizational levels display emergent behavior. Modeling these systems is made challenging by the number and variety of biological components and interactions (from molecules in gene regulatory…

Molecular Networks · Quantitative Biology 2023-10-20 Jordan C. Rozum , Colin Campbell , Eli Newby , Fatemeh Sadat Fatemi Nasrollahi , Reka Albert

On demand of efficient reachability analysis due to the inevitable complexity of large-scale biological models, this paper is dedicated to a novel approach: PermReach, for reachability problem of our new framework, Asynchronous Binary…

Formal Languages and Automata Theory · Computer Science 2018-04-23 Xinwei Chai , Morgan Magnin , Olivier Roux

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

It has been shown that self-triggered control has the ability to reduce computational loads and deal with the cases with constrained resources by properly setting up the rules for updating the system control when necessary. In this paper,…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Min Meng , Gaoxi Xiao , Daizhan Cheng

We extend our two-scale neural-network method for scalar singularly perturbed problems with one small parameter to dynamical systems with multiple small parameters. To accommodate multiple small parameters, we use a single effective scale…

Numerical Analysis · Mathematics 2026-05-05 Qiao Zhuang , Taorui Wang , Rita Wanjiku , Majid Bani-Yaghoub , Zhongqiang Zhang

Boolean networks have been successfully used in modelling gene regulatory networks. In this paper we propose a reduction method that reduces the complexity of a Boolean network but keeps dynamical properties and topological features and…

Quantitative Methods · Quantitative Biology 2009-07-06 Alan Veliz-Cuba

Membrane computing and P systems are a paradigm of massively parallel natural computing introduced by Gheorghe P\u{a}un in 1999, inspired by the structure of the living cell and by its biochemical reactions. In spite of this explicit…

Formal Languages and Automata Theory · Computer Science 2022-09-01 Artiom Alhazov , Rudolf Freund , Sergiu Ivanov

In this paper, we revisit the parameter learning problem, namely the estimation of model parameters for Dynamic Bayesian Networks (DBNs). DBNs are directed graphical models of stochastic processes that encompasses and generalize Hidden…

Machine Learning · Computer Science 2019-02-14 E. Benhamou , J. Atif , R. Laraki

Boolean Networks (BNs) describe the time evolution of binary states using logic functions on the nodes of a network. They are fundamental models for complex discrete dynamical systems, with applications in various areas of science and…

Discrete Mathematics · Computer Science 2025-03-26 Van-Giang Trinh , Samuel Pastva , Jordan Rozum , Kyu Hyong Park , Réka Albert

This paper proposes various new analysis techniques for Bayes networks in which conditional probability tables (CPTs) may contain symbolic variables. The key idea is to exploit scalable and powerful techniques for synthesis problems in…

Artificial Intelligence · Computer Science 2022-08-17 Bahare Salmani , Joost-Pieter Katoen
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