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We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Biological systems are modular, and this modularity affects the evolution of biological systems over time and in different environments. We here develop a theory for the dynamics of evolution in a rugged, modular fitness landscape. We show…

Populations and Evolution · Quantitative Biology 2015-06-23 Jeong-Man Park , Man Chen , Dong Wang , Michael W. Deem

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

The evolution of the biosphere unfolds as a luxuriant generative process of new living forms and functions. Organisms adapt to their environment, exploit novel opportunities that are created in this continuous blooming dynamics. Affordances…

Biological Physics · Physics 2021-11-24 Stuart A. Kauffman , Andrea Roli

Scaling laws illuminate Nature's fundamental biological principles and guide bioinspired materials and structural designs. In simple cases they are based on the fundamental principle that all laws of nature remain unchanged (i.e.,…

Biological Physics · Physics 2025-02-18 Huan Liu , Shashank Priya , Richard D. James

We explore the evolution of cooperation in the framework of the evolutionary game theory using the prisoner's dilemma as metaphor of the problem. We present a minimal model taking into account the growing process of the systems and…

Computer Science and Game Theory · Computer Science 2015-06-03 Ignacio Gomez Portillo

In this paper we return to the problem of reduced-state dynamics in the presence of an interacting environment. The question we investigate is how to appropriately model a particular system evolution given some knowledge of the…

Quantum Physics · Physics 2015-07-02 Eric Chitambar , Ali Abu-Nada , Russell Ceballos , Mark Byrd

At its core, the physics paradigm adopts a reductionist approach, aiming to understand fundamental phenomena by decomposing them into simpler, elementary processes. While this strategy has been tremendously successful in physics, it has…

Biological Physics · Physics 2025-12-10 Ramón Nartallo-Kaluarachchi , Renaud Lambiotte , Alain Goriely

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

Biological Physics · Physics 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

Biological living systems in general exhibit complex and diverse dynamics. The latter, in particular, is essential, since diversification increases the odds of survival of an organism while reducing the risk of extinction of the population.…

Probability · Mathematics 2022-08-19 Sandesh Athni Hiremath

When addressing spatial biological questions using mathematical models, symmetries within the system are often exploited to simplify the problem by reducing its physical dimension. In a reduced-dimension model molecular movement is…

Quantitative Methods · Quantitative Biology 2025-02-17 Natasha S. Savage

Measurement in biological systems became a subject of concern as a consequence of numerous reports on limited reproducibility of experimental results. To reveal origins of this inconsistency, we have examined general features of biological…

Other Quantitative Biology · Quantitative Biology 2017-04-03 Dalibor Štys , Jan Urban , Renata Rychtáriková , Anna Zhyrova , Petr Císař

We derive a trade-off relation between the accuracy of implementing a desired unitary evolution using a restricted set of free unitaries and the size of the assisting system, in terms of the resource generating/losing capacity of the target…

Quantum Physics · Physics 2020-02-14 Ryuji Takagi , Hiroyasu Tajima

A theoretical study of cell evolution is presented here. By using a toolbox containing an intracellular catalytic reaction network model and a mutation-selection process, four distinct phases of self-organization were unveiled. First, the…

Biological Physics · Physics 2022-01-26 V. Ibarra-Junquera , D. Radillo-Ochoa , C. A. Terrero-Escalante

Understanding systems level behaviour of many interacting agents is challenging in various ways, here we'll focus on the how the interaction between components can lead to hierarchical structures with different types of dynamics, or…

Populations and Evolution · Quantitative Biology 2018-12-26 Henrik Jeldtoft Jensen

One of the defining features of living systems is their adaptability to changing environmental conditions. This requires organisms to extract temporal and spatial features of their environment, and use that information to compute the…

Neurons and Cognition · Quantitative Biology 2024-02-27 Maria Sol Vidal-Saez , Oscar Vilarroya , Jordi Garcia-Ojalvo

A new model for biological growth is introduced that couples the geometry of an organism (or part of the organism) to the flow and deposition of material. The model has three dynamical variables (a) a Riemann metric tensor for the geometry,…

Biological Physics · Physics 2010-10-05 Julia Pulwicki , David Hobill

To unveil the logic of cell from a level of chemical reaction dynamics, we need to clarify how ensemble of chemicals can autonomously produce the set of chemical, without assuming a specific external control echanism. A cell consists of a…

Molecular Networks · Quantitative Biology 2007-05-23 Kunihiko Kaneko

Entropy plays a key role in statistical physics of complex systems, which in general exhibit diverse aspects of emergence on different scales. However, it still remains not fully resolved how entropy varies with the coarse-graining level…

Statistical Mechanics · Physics 2017-08-07 Segun Goh , Jungzae Choi , MooYoung Choi , Byung-Gook Yoon

Evolutionary games are a developing sub-field of game theory. This branch of game theory is used in the study of the adaptation of large, but finite, populations of agents to changes in the environment. It assumes that each agent has no…

Computer Science and Game Theory · Computer Science 2023-07-12 E. M. Lorits , E. A. Gubar