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Biological systems exhibit two structural features on many levels of organization: sparseness, in which only a small fraction of possible interactions between components actually occur; and modularity - the near decomposability of the…

Molecular Networks · Quantitative Biology 2013-12-25 Tamar Friedlander , Avraham E. Mayo , Tsvi Tlusty , Uri Alon

The problem of error growth due to the incomplete knowledge of the evolution law which rules the dynamics of a given physical system is addressed. Major interest is devoted to the analysis of error amplification in systems with many…

chao-dyn · Physics 2009-10-31 G. Boffetta , A. Celani , M. Cencini , G. Lacorata , A. Vulpiani

Biological systems are generally complicated and/or complex. In the former approach, one sets up a model with a large number of parameters to describe the system in detail. The latter approach focuses on understanding the universal aspects…

Biological Physics · Physics 2026-03-19 Kunihiko Kaneko

Ecological systems show a variety of characteristic patterns of biodiversity in space and time. It is a challenge for theory to find models that can reproduce and explain the observed patterns. Since the advent of island biogeography these…

Populations and Evolution · Quantitative Biology 2019-10-21 Michaela Hamm , Barbara Drossel

Robustness, the insensitivity of some of a biological system's functionalities to a set of distinct conditions, is intimately linked to fitness. Recent studies suggest that it may also play a vital role in enabling the evolution of species.…

Adaptation and Self-Organizing Systems · Physics 2011-12-15 James M Whitacre , Axel Bender

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

Redox biology underpins signalling, metabolism, immunity, and adaptation, yet lacks a unifying theoretical framework capable of formalising structure, function, and dynamics. Current interpretations rely on descriptive catalogues of…

Biomolecules · Quantitative Biology 2026-02-10 James N. Cobley , Michalis G. Nikolaidis

The biological theory of adaptive dynamics proposes a description of the long-term evolution of a structured asexual population. It is based on the assumptions of large population, rare mutations and small mutation steps, that lead to a…

Probability · Mathematics 2007-05-23 Nicolas Champagnat , Amaury Lambert

Composition is a powerful principle for systems biology, focused on the interfaces, interconnections, and orchestration of distributed processes to enable integrative multiscale simulations. Whereas traditional models focus on the structure…

Other Quantitative Biology · Quantitative Biology 2024-11-25 Eran Agmon

The proper functioning of multicellular organisms requires the robust establishment of precise proportions between distinct cell-types. This developmental differentiation process typically involves intracellular regulatory and stochastic…

Cell Behavior · Quantitative Biology 2016-06-22 Benjamin Pfeuty , Kunihiko Kaneko

Living systems continuously transform matter and energy through the chemical processes that constitute their metabolism. The overall metabolic rate of an organism correlates positively with its body mass, however both the exact scaling…

Soft Condensed Matter · Physics 2026-03-19 Efe Ilker , Michael Hinczewski , Xingbo Yang , Frank Jülicher

Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve…

Physics and Society · Physics 2019-03-13 Edward Laurence , Nicolas Doyon , Louis J Dubé , Patrick Desrosiers

To make sense of the world our brains must analyze high-dimensional datasets streamed by our sensory organs. Because such analysis begins with dimensionality reduction, modelling early sensory processing requires biologically plausible…

Neurons and Cognition · Quantitative Biology 2016-01-27 Cengiz Pehlevan , Dmitri B. Chklovskii

Continuing generation of novelty, complexity, and adaptation are well-established as core aspects of open-ended evolution. However, it has yet to be firmly established to what extent these phenomena are coupled and by what means they…

Neural and Evolutionary Computing · Computer Science 2025-09-05 Matthew Andres Moreno , Santiago Rodriguez Papa , Charles Ofria

The distributions of species lifetimes and species in space are related, since species with good local survival chances have more time to colonize new habitats and species inhabiting large areas have higher chances to survive local…

Populations and Evolution · Quantitative Biology 2019-02-18 Tobias Rogge , David Jones , Barbara Drossel , Korinna T. Allhoff

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

Many organisms exhibit branching morphologies that twist around each other and become entangled. Entanglement occurs when different objects interlock, creating complex and often irreversible configurations. This physical phenomenon is…

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

The importance of microscopic details on cooperation level is an intensively studied aspect of evolutionary game theory. Interestingly, these details become crucial on heterogeneous populations where individuals may possess diverse traits.…

Physics and Society · Physics 2018-08-21 Attila Szolnoki , Zsuzsa Danku

We study the adaptive dynamics of predator-prey systems modeled by a dynamical system in which the traits of predators and prey are allowed to evolve by small mutations. When only the prey are allowed to evolve, and the size of the…

Probability · Mathematics 2015-03-13 Rick Durrett , John Mayberry