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Computational problems can be classified according to their algorithmic complexity, which is defined based on how the resources needed to solve the problem, e.g. the execution time, scale with the problem size. Many problems in…

Computational Complexity · Computer Science 2021-07-29 Davide Cirillo , Miguel Ponce-de-Leon , Alfonso Valencia

In a complex system, the individual components are neither so tightly coupled or correlated that they can all be treated as a single unit, nor so uncorrelated that they can be approximated as independent entities. Instead, patterns of…

Populations and Evolution · Quantitative Biology 2015-09-15 Blake C. Stacey

Mathematical models play an increasingly important role in the interpretation of biological experiments. Studies often present a model that generates the observations, connecting hypothesized process to an observed pattern. Such generative…

Populations and Evolution · Quantitative Biology 2014-06-18 Steven A. Frank

Understanding the behaviour of biological systems requires a complex setting of in vitro and in vivo experiments, which attracts high costs in terms of time and resources. The use of mathematical models allows researchers to perform…

Computational Engineering, Finance, and Science · Computer Science 2009-11-30 Thomas Anung Basuki , Antonio Cerone , Rafael V. Carvalho

Biological systems reach organizational complexity that far exceeds the complexity of any known inanimate objects. Biological entities undoubtedly obey the laws of quantum physics and statistical mechanics. However, is modern physics…

Other Quantitative Biology · Quantitative Biology 2018-02-26 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

Depth is a complexity measure for natural systems of the kind studied in statistical physics and is defined in terms of computational complexity. Depth quantifies the length of the shortest parallel computation required to construct a…

Popular Physics · Physics 2011-11-14 Jon Machta

The unprecedented prowess of measurement techniques provides a detailed, multi-scale look into the depths of living systems. Understanding these avalanches of high-dimensional data -- by distilling underlying principles and mechanisms --…

Other Quantitative Biology · Quantitative Biology 2021-08-16 Jean-Pierre Eckmann , Tsvi Tlusty

Quantum nanosystems are exremely diverse and often very complicated. That is why new methods of a simple description of such systems ensuring the retention of essential part of information at small numbers of parameters are needed. We…

General Physics · Physics 2013-02-26 N. N. Trunov

While "complexity science" has achieved significant successes in several interdisciplinary fields such as economics and biology, it is only a very recent observation that legal systems -- from the way legal texts are drafted and connected…

Physics and Society · Physics 2025-01-08 Pierpaolo Vivo , Daniel M. Katz , J. B. Ruhl

Life systems are complex and hierarchical, with diverse components at different scales, yet they sustain themselves, grow, and evolve over time. How can a theory of such complex biological states be developed? Here we note that for a…

Biological Physics · Physics 2024-10-03 Kunihiko Kaneko

One of the basic frameworks in science views behavioral products as a process within a dynamic system. The mechanism might be seen as a representation of many instances of centralized control in real time. Many real systems, however,…

Dynamical Systems · Mathematics 2019-08-19 Chulwook Park

Complex systems fail. I argue that failures can be a blueprint characterizing living organisms and biological intelligence, a control mechanism to increase complexity in evolutionary simulations, and an alternative to classical fitness…

Artificial Intelligence · Computer Science 2021-02-25 Lana Sinapayen

An object-oriented combinator chemistry was used to construct an artificial organism with a system architecture possessing characteristics necessary for organisms to evolve into more complex forms. This architecture supports modularity by…

Neural and Evolutionary Computing · Computer Science 2018-05-17 Lance R. Williams

We study the build up of complexity on the example of 1 kg matter in different forms. We start on the simplest example of ideal gases, and then continue with more complex chemical, biological, life and social and technical structures. We…

Other Quantitative Biology · Quantitative Biology 2017-01-19 L. P. Csernai , S. F. Spinnangr , S. Velle

Finding general principles underlying brain function has been appealing to scientists. Indeed, in some branches of science like physics and chemistry (and to some degree biology) a general theory often can capture the essence of a wide…

Neurons and Cognition · Quantitative Biology 2023-12-22 Shervin Safavi

Literature involving preferences of artificial agents or human beings often assume their preferences can be represented using a complete transitive binary relation. Much has been written however on different models of preferences. We review…

Artificial Intelligence · Computer Science 2018-01-17 Olivier Cailloux , Sébastien Destercke

Complex systems with tightly coadapted parts frequently appear in living systems and are difficult to account for through Darwinian evolution, that is random variation and natural selection, if the constituent parts are independently coded…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 John F. McGowan , Ph. D

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

Statistical Mechanics · Physics 2007-05-23 Paulo Murilo Castro de Oliveira

Modeling biological processes is a highly demanding task because not all processes are fully understood. Mathematical models allow us to test hypotheses about possible mechanisms of biological processes. The mathematical mechanisms…

Numerical Analysis · Mathematics 2023-12-11 Cordula Reisch , Hannah Burmester

The vision of Organic Computing addresses challenges that arise in the design of future information systems that are comprised of numerous, heterogeneous, resource-constrained and error-prone components or devices. Here, the notion organic…

Networking and Internet Architecture · Computer Science 2012-04-26 Ingo Scholtes , Claudio Juan Tessone