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Links in a practical network may have different functions, which makes the original network a combination of some functional subnetworks. Here, by a model of coupled oscillators, we investigate how such functional subnetworks are evolved…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Menghui Li , Xingang Wang , Choy-Heng Lai

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

Players of coevolutionary games may update not only their strategies but also their networks of interaction. Based on interpreting the payoff of players as fitness, dynamic landscape models are proposed. The modeling procedure is carried…

Populations and Evolution · Quantitative Biology 2017-03-16 Hendrik Richter

Boolean networks are special types of finite state time-discrete dynamical systems. A Boolean network can be described by a function from an n-dimensional vector space over the field of two elements to itself. A fundamental problem in…

Quantitative Methods · Quantitative Biology 2013-07-03 Yi Ming Zou

Commonly recognized evolutionarily relevant effects of sexual reproduction include increased diversity, accelerated adaptation, and constrained accumulation of deleterious mutations, along with a secondary effect of species genotype…

Populations and Evolution · Quantitative Biology 2025-06-17 Assaf Marron , Smadar Szekely , Irun R. Cohen , David Harel

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

Statistical Mechanics · Physics 2007-05-23 Dafang Zheng , Guler Ergun

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 use the annealed formulation of complex networks to study the dynamical behavior of disease spreading on both static and adaptive networked systems. This unifying approach relies on the annealed adjacency matrix, representing one network…

Physics and Society · Physics 2010-11-09 Beniamino Guerra , Jesus Gomez-Gardenes

Background: Recent experimental and theoretical studies have shown that small asexual populations evolving on complex fitness landscapes may achieve a higher fitness than large ones due to the increased heterogeneity of adaptive…

Populations and Evolution · Quantitative Biology 2011-07-12 Kavita Jain , Joachim Krug , Su-Chan Park

In automata networks, it is well known that the way entities update their states over time has a major impact on their dynamics. In particular, depending on the chosen update schedule, the underlying dynamical systems may exhibit more or…

Discrete Mathematics · Computer Science 2022-04-25 Jacques Demongeot , Sylvain Sené

This is an introductory review of deterministic mutation-selection models for asexual populations (i.e., quasispecies theory) and related topics. First, the basic concepts of fitness, mutations, and sequence space are introduced. Different…

Populations and Evolution · Quantitative Biology 2007-07-26 Kavita Jain , Joachim Krug

We model the evolution of eukaryotic protein-protein interaction (PPI) networks. In our model, PPI networks evolve by two known biological mechanisms: (1) Gene duplication, which is followed by rapid diversification of duplicate…

Molecular Networks · Quantitative Biology 2015-01-07 Jack Peterson , Steve Presse , Kristin S. Peterson , Ken A. Dill

Discrete dynamical systems in which model components take on categorical values have been successfully applied to biological networks to study their global dynamic behavior. Boolean models in particular have been used extensively. However,…

Quantitative Methods · Quantitative Biology 2021-09-09 Etan Basser-Ravitz , Arman Darbar , Julia Chifman

In multi-cellular organisms, cells differentiate into multiple types as they divide. States of these cell types, as well as their numbers, are known to be robust to external perturbations; as conceptualized by Waddington's epigenetic…

Biological Physics · Physics 2026-01-21 Davey Plugers , Kunihiko Kaneko

Many scientific fields study data with an underlying structure that is a non-Euclidean space. Some examples include social networks in computational social sciences, sensor networks in communications, functional networks in brain imaging,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Michael M. Bronstein , Joan Bruna , Yann LeCun , Arthur Szlam , Pierre Vandergheynst

Models of strategy evolution on static networks help us understand how population structure can promote the spread of traits like cooperation. One key mechanism is the formation of altruistic spatial clusters, where neighbors of a…

Physics and Society · Physics 2023-09-07 Qi Su , Alex McAvoy , Joshua B. Plotkin

Regulatory interactions between genes show a large amount of cross-species variability, even when the underlying functions are conserved: There are many ways to achieve the same function. Here we investigate the ability of regulatory…

Molecular Networks · Quantitative Biology 2015-05-13 Franck Stauffer , Johannes Berg

Mutational robustness quantifies the effect of random mutations on fitness. When mutational robustness is high, most mutations do not change fitness or have only a minor effect on it. From the point of view of fitness landscapes, robust…

Populations and Evolution · Quantitative Biology 2019-10-22 Alexander Klug , Su-Chan Park , Joachim Krug

We proposed an evolving network model constituted by the same nodes but different edges. The competition between nodes and different links were introduced. Scale free properties have been found in this model by continuum theory. Different…

Statistical Mechanics · Physics 2013-05-29 Jie Sun , Yizhi Ge , Sheng Li

Motivation: Since susceptibility to diseases increases with age, studying aging gains importance. Analyses of gene expression or sequence data, which have been indispensable for investigating aging, have been limited to studying genes and…

Computational Engineering, Finance, and Science · Computer Science 2013-07-15 Fazle Elahi Faisal , Tijana Milenkovic