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Protein evolution underpins life, and understanding its behavior as a system is of great importance. However, our current models of protein evolution are arguably too simplistic to allow quantitative interpretation and prediction of…

The basic mechanics of evolution have been understood since Darwin. But debate continues over whether macroevolutionary phenomena are driven primary by the fitness structure of genotype space or by ecological interaction. In this paper we…

Populations and Evolution · Quantitative Biology 2012-10-22 David V. Foster , Mary M. Rorick , Tanja Gesell , Laura Feeney , Jacob G. Foster

At any moment in time, evolution is faced with a formidable challenge: refining the already highly optimised design of biological species, a feat accomplished through all preceding generations. In such a scenario, the impact of random…

Populations and Evolution · Quantitative Biology 2024-02-20 Alessandro Fontana , Marios Kyriazis

Evolution is the process of optimal adaptation of biological populations to their living environments. This is expressed via the concept of fitness, defined as relative reproductive success. However, it has been pointed out that this…

Populations and Evolution · Quantitative Biology 2025-04-17 Luís MA Bettencourt , Brandon J Grandison , Jordan T Kemp

Evolutionary game theory has been successfully used to investigate the dynamics of systems, in which many entities have competitive interactions. From a physics point of view, it is interesting to study conditions under which a coordination…

Physics and Society · Physics 2015-05-14 Dirk Helbing , Anders Johansson

Recent studies have investigated various dynamic processes characterizing collective behaviors in real-world systems. However, these dynamics have been studied individually in specific contexts. In this article, we present a holistic…

Applied Physics · Physics 2025-01-28 Ming Xie , Shibo He , Aming Li , Zike Zhang , Youxian Sun , Jiming Chen

According to the "hard-steps" model, the origin of humanity required "successful passage through a number of intermediate steps" (so-called "hard" or "critical" steps) that were intrinsically improbable with respect to the total time…

Populations and Evolution · Quantitative Biology 2025-02-18 Daniel B. Mills , Jennifer L. Macalady , Adam Frank , Jason T. Wright

We discuss the relevance of studying ecology within the framework of Complexity Science from a statistical mechanics approach. Ecology is concerned with understanding how systems level properties emerge out of the multitude of interactions…

Populations and Evolution · Quantitative Biology 2007-09-14 Henrik Jeldtoft Jensen , Elsa Arcaute

Biological systems reach hierarchical complexity that has no counterpart outside the realm of biology. Undoubtedly, biological entities obey the fundamental physical laws. Can today's physics provide an explanatory framework for…

Statistical Mechanics · Physics 2022-10-12 Yuri I. Wolf , Mikhail I. Katsnelson , Eugene V. Koonin

With a view to connecting random mutation on the molecular level to punctuated equilibrium behavior on the phenotype level, we propose a new model for biological evolution, which incorporates random mutation and natural selection. In this…

Condensed Matter · Physics 2009-10-28 M. Y. Choi , H. Y. Lee , D. Kim , S. H. Park

The intrinsic multivaluedness of interaction process, revealed in Part I of this series of papers, is interpreted as the origin of the true dynamical (in particular, quantum) chaos. The latter is causally deduced as unceasing series of…

Quantum Physics · Physics 2008-02-03 Andrei P. Kirilyuk

A large repertoire of spatiotemporal activity patterns in the brain is the basis for adaptive behaviour. Understanding the mechanism by which the brain's hundred billion neurons and hundred trillion synapses manage to produce such a range…

Neurons and Cognition · Quantitative Biology 2010-10-14 Dante R. Chialvo

Apparent biodiversity on earth exists only if we compare different species separated from their environments. Meanwhile coexisting species have to be identical in terms of energetic interactions. Consider the biosphere as a network of…

Populations and Evolution · Quantitative Biology 2007-05-23 D. Balciunas

Due to the conventional distinction between ecological (rapid) and evolutionary (slow)timescales, ecological and population models to date have typically ignored the effects of evolution. Yet the potential for rapid evolutionary change has…

Populations and Evolution · Quantitative Biology 2012-11-20 Laura E. Jones , Stephen P. Ellner

We discuss a simple model of co-evolution. In order to emphasise the effect of interaction between individuals the entire population is subjected to the same physical environment. Species are emergent structures and extinction, origination…

Statistical Mechanics · Physics 2007-05-23 Kim Christensen , Simone A. di Collobiano , Matt Hall , Henrik J. Jensen

Open-ended evolutionary dynamics remains an elusive goal for artificial evolutionary systems. Many ideas exist in the biological literature beyond the basic Darwinian requirements of variation, differential reproduction and inheritance. I…

Neural and Evolutionary Computing · Computer Science 2015-07-28 Tim Taylor

Starting from the well-known field theory for directed percolation, we describe an evolving population, near extinction, in an environment with its own nontrivial spatio-temporal dynamics. Here, we consider the special case where the…

Statistical Mechanics · Physics 2009-11-13 Sayak Mukherjee , H. K. Janssen , B. Schmittmann

The processes of ecological interactions, dispersal and mutations shape the dynamics of biological communities, and analogous eco-evolutionary processes acting upon economic entities have been proposed to explain economic change. This…

Econometrics · Economics 2023-01-24 Victor Boussange , Didier Sornette , Heike Lischke , Loïc Pellissier

Open-ended evolution (OEE) is relevant to a variety of biological, artificial and technological systems, but has been challenging to reproduce in silico. Most theoretical efforts focus on key aspects of open-ended evolution as it appears in…

Neural and Evolutionary Computing · Computer Science 2016-12-20 Alyssa M Adams , Hector Zenil , Paul CW Davies , Sara I Walker

Universality in the behavior of complex systems often reveals itself in the form of scale-invariant distributions that are essentially independent of the details of the microscopic dynamics. A representative paradigm of complex behavior in…

Statistical Mechanics · Physics 2007-05-23 G. Malescio , N. V. Dokholyan , S. V. Buldyrev , H. Eugene Stanley
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