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In this review, we discuss the applications of the theory of birth-and-death processes to problems in biology, primarily, those of evolutionary genomics. The mathematical principles of the theory of these processes are briefly described.…

Quantitative Methods · Quantitative Biology 2007-05-23 Artem S. Novozhilov , Georgy P. Karev , Eugene V. Koonin

The discipline of `theoretical biology' has been developing from its inception several decades ago almost in parallel with the advances in biology, so much so that the latter is often considered to be almost exclusively an empirical…

Biological Physics · Physics 2025-06-10 Shakti N. Menon , Sitabhra Sinha

Living systems exhibit a range of fundamental characteristics: they are active, self-referential, self-modifying systems. This paper explores how these characteristics create challenges for conventional scientific approaches and why they…

Emerging Technologies · Computer Science 2025-08-18 Samson Abramsky , Wolfgang Banzhaf , Leo S. D. Caves , Michael Levin , Penousal Machado , Charles Ofria , Susan Stepney , Roger White

A key problem in the study and design of complex systems is the apparent disconnection between the microscopic and the macroscopic. It is not straightforward to identify the local interactions that give rise to an observed global…

Adaptation and Self-Organizing Systems · Physics 2016-06-28 H. Silk , M. Homer , T. Gross

The question how complex systems become more organized and efficient with time is open. Examples are, the formation of elementary particles from pure energy, the formation of atoms from particles, the formation of stars and galaxies, the…

Physics and Society · Physics 2017-01-17 Georgi Georgiev , Atanu Chatterjee , Germano Iannacchione

This paper explores the idea that information is an essential and distinctive feature of living systems. Unlike non-living systems, living systems actively acquire, process, and use information about their environments to respond to…

The growth of world population, limitation of resources, economic problems and environmental issues force engineers to develop increasingly efficient solutions for logistic systems. Pure optimization for efficiency, however, has often led…

With the help of a mathematical model, the metabolic process of the Krebs cycle is studied. The autocatalytic processes resulting in both the formation of the self-organization in the Krebs cycle and the appearance of a cyclicity of its…

Molecular Networks · Quantitative Biology 2017-10-26 V. I. Grytsay , I. V. Musatenko

Self-organized criticality has been proposed to be a universal mechanism for the emergence of scale-free dynamics in many complex systems, and possibly in the brain. While such scale-free patterns were identified experimentally in many…

Neurons and Cognition · Quantitative Biology 2021-05-11 Roxana Zeraati , Viola Priesemann , Anna Levina

Soil is a complex, dynamic material, with physical properties that depend on its biological content. We propose a cellular automaton model for self-organizing soil structure, where soil aggregates and serves as food for microbial species.…

Biological Physics · Physics 2025-10-10 Riz Fernando Noronha , Kim Sneppen , Kunihiko Kaneko

Self-organization creates new order and shifts sub-boundaries while reorganizing energy and entropy within a control volume. This article examines pathway selection and tests whether maximizing the entropy generation rate can forecast…

Materials Science · Physics 2026-03-10 J. A. Sekhar

The principle of self-organization has acquired a fundamental significance in the newly emerging field of computational philosophy. Self-organizing systems have been described in various domains in science and philosophy including physics,…

Neurons and Cognition · Quantitative Biology 2020-11-12 Birgitta Dresp-Langley

We propose a theoretical model for species that is focused on intrinsic organization and processes. Specifically, we regard species to be networks of organisms integrated by reproductive mechanisms (e.g., conjugation, meiosis, syngamy)…

Populations and Evolution · Quantitative Biology 2008-08-13 David Kizirian , Maureen A. Donnelly

Examining individual components of cellular systems has been successful in uncovering molecular reactions and interactions. However, the challenge lies in integrating these components into a comprehensive system-scale map. This difficulty…

Other Quantitative Biology · Quantitative Biology 2024-07-03 Nima Dehghani

Our technologies complexify our environments. Thus, new technologies need to deal with more and more complexity. Several efforts have been made to deal with this complexity using the concept of self-organization. However, in order to…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson

Biological organisms are composed of numerous interconnected biochemical processes. Diseases occur when normal functionality of these processes is disrupted. Thus, understanding these biochemical processes and their interrelationships is a…

Artificial Intelligence · Computer Science 2014-03-04 Saadat Anwar

Biological systems perform an astonishing array of dynamical processes -- including development and repair, regulation, behavior and motor control, sensing and signaling, and adaptation, among others. Powered by the transduction of stored…

Soft Condensed Matter · Physics 2025-09-04 James Clarke , Jake McGrath , Colin Johnson , José Alvarado

A phenomenological model of self-organization explaining the emergence of a complexity with features that apparently satisfy the specific criteria usually required for recognizing the appearance of life in laboratory is presented. The…

Adaptation and Self-Organizing Systems · Physics 2007-08-31 Erzilia Lozneanu , Mircea Sanduloviciu

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 primary motivation for research in Digital Ecosystems is the desire to exploit the self-organising properties of natural ecosystems. Ecosystems arc thought to be robust, scalable architectures that can automatically solve complex, dynamic…

Neural and Evolutionary Computing · Computer Science 2009-10-06 Gerard Briscoe , Suzanne Sadedin