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Related papers: Evolution of Canalizing Boolean Networks

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The relationship between the properties of a dynamical system and the structure of its defining equations has long been studied in many contexts. Here we study this problem for the class of conjunctive (resp. disjunctive) Boolean networks,…

Combinatorics · Mathematics 2008-05-13 Abdul Salam Jarrah , Reinhard Laubenbacher , Alan Veliz-Cuba

Regulatory networks (RNs) are a well-accepted modelling formalism in computational systems biology. The control of RNs is currently receiving a lot of attention because it provides a computational basis for cell reprogramming -- an…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Luboš Brim , Samuel Pastva , David Šafránek , Eva Šmijáková

Interactions between genes and gene products give rise to complex circuits that enable cells to process information and respond to external signals. Theoretical studies often describe these interactions using continuous, stochastic, or…

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

Empirical evidence has revealed that biological regulatory systems are controlled by high-level coordination between topology and Boolean rules. In this study, we study the joint effects of degree and Boolean functions on the stability of…

Adaptation and Self-Organizing Systems · Physics 2021-03-12 Byungjoon Min

Adaptive networks appear in many biological applications. They combine topological evolution of the network with dynamics in the network nodes. Recently, the dynamics of adaptive networks has been investigated in a number of parallel…

Physics and Society · Physics 2008-01-23 Thilo Gross , Bernd Blasius

Effective exploration abilities are fundamental for robot swarms, especially when small, inexpensive robots are employed (e.g., micro- or nano-robots). Random walks are often the only viable choice if robots are too constrained regarding…

Robotics · Computer Science 2024-10-23 Vinicius Sartorio , Luigi Feola , Emanuel Estrada , Vito Trianni , Jonata Tyska Carvalho

Boolean networks have been widely used in many areas of science and engineering to represent various dynamical behaviour. In systems biology, they became useful tools to study the dynamical characteristics of large-scale biomolecular…

Dynamical Systems · Mathematics 2024-01-01 Jongrae Kim , Woojeong Lee , Kwang-Hyun Cho

A common view in evolutionary biology is that mutation rates are minimised. However, studies in combinatorial optimisation and search have shown a clear advantage of using variable mutation rates as a control parameter to optimise the…

Populations and Evolution · Quantitative Biology 2019-08-27 Roman V. Belavkin , Alastair Channon , Elizabeth Aston , John Aston , Rok Krasovec , Christopher G. Knight

Boolean networks are a valuable class of discrete dynamical systems models, but they remain fundamentally limited by their inability to capture multi-way interactions in their components. To remedy this limitation, we propose a model of…

Dynamical Systems · Mathematics 2024-09-02 Kevin M. Stoltz , Cliff A. Joslyn

Boolean network models have gained popularity in computational systems biology over the last dozen years. Many of these networks use canalizing Boolean functions, which has led to increased interest in the study of these functions. The…

Discrete Mathematics · Computer Science 2015-04-29 Qijun He , Matthew Macauley

Dynamic optimisation occurs in a variety of real-world problems. To tackle these problems, evolutionary algorithms have been extensively used due to their effectiveness and minimum design effort. However, for dynamic problems, extra…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Maryam Hasani Shoreh , Renato Hermoza Aragonés , Frank Neumann

Boolean networks are powerful mathematical tools for modeling the qualitative dynamics of genetic regulation. Yet inferred models often generate spurious attractors that lack biological viability. In this paper, we propose a parsimonious…

Molecular Networks · Quantitative Biology 2026-04-30 Jacques Demongeot , Alonso Espinoza Rojas , Eric Goles , Marco Montalva-Medel , Sylvain Sené , Laurent Tichit

Networks are fundamental building blocks for representing data, and computations. Remarkable progress in learning in structurally defined (shallow or deep) networks has recently been achieved. Here we introduce evolutionary exploratory…

Neural and Evolutionary Computing · Computer Science 2019-11-05 Rise Ooi , Chao-Han Huck Yang , Pin-Yu Chen , Vìctor Eguìluz , Narsis Kiani , Hector Zenil , David Gomez-Cabrero , Jesper Tegnèr

We study critical random Boolean networks with two inputs per node that contain only canalyzing functions. We present a phenomenological theory that explains how a frozen core of nodes that are frozen on all attractors arises. This theory…

Statistical Mechanics · Physics 2009-11-11 U. Paul , V. Kaufman , B. Drossel

This paper presents a real-time simulation involving ''protozoan-like'' cells that evolve by natural selection in a physical 2D ecosystem. Selection pressure is exerted via the requirements to collect mass and energy from the surroundings…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Dylan Cope

We study the evolution of large but finite asexual populations evolving in fitness landscapes in which all mutations are either neutral or strongly deleterious. We demonstrate that despite the absence of higher fitness genotypes, adaptation…

Biological Physics · Physics 2007-05-23 Claus O. Wilke

Many researchers have hypothesised models which explain the evolution of the topology of a target network. The framework described in this paper gives the likelihood that the target network arose from the hypothesised model. This allows…

Applications · Statistics 2013-03-28 Richard G. Clegg , Raul Landa , Hamed Haddadi , M. Rio

The stability of Boolean networks has attracted much attention due to its wide applications in describing the dynamics of biological systems. During the past decades, much effort has been invested in unveiling how network structure and…

Physics and Society · Physics 2018-03-21 Jiannan Wang , Sen Pei , Wei Wei , Xiangnan Feng , Zhiming Zheng

Evolving Neural Networks (NNs) has recently seen an increasing interest as an alternative path that might be more successful. It has many advantages compared to other approaches, such as learning the architecture of the NNs. However, the…

Neural and Evolutionary Computing · Computer Science 2022-03-15 Abdullah Khalili , Abdelhamid Bouchachia

A Boolean network is a finite state discrete time dynamical system. At each step, each variable takes a value from a binary set. The value update rule for each variable is a local function which depends only on a selected subset of…

Dynamical Systems · Mathematics 2017-08-10 Zuguang Gao , Xudong Chen , Tamer Başar