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Opinion formation has been gaining increasing research interests recently, and various models have been proposed. These models, however, have their limitations, among which noticeably include (i) it is generally assumed that adjacent nodes…

Physics and Society · Physics 2017-03-08 Yi Yu , Gaoxi Xiao

Many organisms live in populations structured by space and by class, exhibit plastic responses to their social partners, and are subject to non-additive ecological and fitness effects. Social evolution theory has long recognized that all of…

Populations and Evolution · Quantitative Biology 2014-04-24 Jeremy Van Cleve , Erol Akçay

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

Populations and Evolution · Quantitative Biology 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau

The asymptotic behavior of estimates and information criteria in linear models are studied in the context of hierarchically correlated sampling units. The work is motivated by biological data collected on species where autocorrelation is…

Applications · Statistics 2021-10-20 Cécile Ané

We calculate the mutual information function for each of the 24 chromosomes in the human genome. The same correlation pattern is observed regardless the individual functional features of each chromosome. Moreover, correlations of different…

Genomics · Quantitative Biology 2007-05-23 R. Mansilla , N. Del Castillo , T. Govezensky , P. Miramontes , M. Jose , G. Coch

Microbiome `omics approaches can reveal intriguing relationships between the human microbiome and certain disease states. Along with the identification of specific bacteria taxa associated with diseases, recent scientific advancements…

Applications · Statistics 2019-10-07 Shuang Jiang , Guanghua Xiao , Andrew Y. Koh , Qiwei Li , Xiaowei Zhan

Stochastic models, based on random processes, may lead to power law distributions, which provide long range correlations. The observation of power law behavior and the presence of long range correlations in biological systems has been…

Statistical Mechanics · Physics 2008-03-26 Thomas Oikonomou

We present a method for using neural networks to model evolutionary population dynamics, and draw parallels to recent deep learning advancements in which adversarially-trained neural networks engage in coevolutionary interactions. We…

Neural and Evolutionary Computing · Computer Science 2018-04-13 Nick Moran , Jordan Pollack

The far-reaching consequences of ecological interactions in the dynamics of biological communities remain an intriguing subject. For decades, competition has been a cornerstone in ecological processes, but mounting evidence shows that…

Populations and Evolution · Quantitative Biology 2021-07-19 F. Meloni , G. Nakamura , B. Grammaticos , A. S. Martinez , M. Badoual

We study the population profile in a simple discrete time model of population dynamics. Our model, which is closely related to certain ``bit-string'' models of evolution, incorporates competition for resources via a population dependent…

Statistical Mechanics · Physics 2009-10-31 Martin Howard , R. K. P. Zia

We review models of biological evolution in which the population frequency changes deterministically with time. If the population is self-replicating, although the equations for simple prototypes can be linearised, nonlinear equations arise…

Populations and Evolution · Quantitative Biology 2015-05-27 Kavita Jain , Sarada Seetharaman

An important part of the analysis of bio-molecular networks is to detect different functional units. Different functions are reflected in a different evolutionary dynamics, and hence in different statistical characteristics of network…

Molecular Networks · Quantitative Biology 2007-05-23 Johannes Berg , Michael Lässig

Distinct channels of interaction in a complex networked system define network layers, which co-exist and co-operate for the system's function. Towards realistic modeling and understanding such multiplex systems, we introduce and study a…

Physics and Society · Physics 2013-08-06 Jung Yeol Kim , K. -I. Goh

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

In this note, we focus on a selection model problem: a mono-exponential model versus a bi-exponential one. This is done in the biological context of living cells, where small data are available. Classical statistics are revisited to improve…

Applications · Statistics 2011-05-31 Ph. Heinrich , J. Kahn , L. Héliot , D. Trinel

Using a set of heterogeneous competing systems with intra-system cooperation and inter-system aggression, we show how the coevolution of the system parameters (degree of organization and conditions for aggression) depends on the rate of…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jose M. Albornoz , Antonio Parravano

The propagations of diseases, behaviors and information in real systems are rarely independent of each other, but they are coevolving with strong interactions. To uncover the dynamical mechanisms, the evolving spatiotemporal patterns and…

Physics and Society · Physics 2019-10-02 Wei Wang , Quan-Hui Liu , Junhao Liang , Yanqing Hu , Tao Zhou

We consider the concept of mutual information in ecological networks, and use this idea to analyse the Tangled Nature model of co-evolution. We show that this measure of correlation has two distinct behaviours depending on how we define the…

Populations and Evolution · Quantitative Biology 2009-11-02 Dominic Jones , Henrik Jeldtoft Jensen , Paolo Sibani