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Self-organization is the autonomous assembly of a network of interacting components into a stable, organized pattern. This article shows that the process of self-assembly can be encoded in terms of evolutionary entropy, a statistical…

Statistical Mechanics · Physics 2023-05-29 Lloyd A. Demetrius

Living systems are thermodynamically open but closed in their organization. In other words, even though their material components turn over constantly, a material-independent property persists, which we call organization. Moreover,…

Quantitative Methods · Quantitative Biology 2025-03-07 Pedro Márquez-Zacarías , Andrés Ortiz-Muñoz , Emma P. Bingham

From subcellular structures to entire organisms, many natural systems generate complex organisation through self-organisation: local interactions that collectively give rise to global structure without any blueprint of the outcome. Yet a…

Artificial Intelligence · Computer Science 2026-05-18 Milton L. Montero , Elias Najarro , Jakob Schauser , Sebastian Risi

A key feature of many developmental systems is their ability to self-organize spatial patterns of functionally distinct cell fates. To ensure proper biological function, such patterns must be established reproducibly, by controlling and…

Biological Physics · Physics 2023-12-20 David B. Brückner , Gašper Tkačik

From flocking birds to schooling fish, organisms interact to form collective dynamics across the natural world. Self-organization is present at smaller scales as well: cells interact and move during development to produce patterns in fish…

Quantitative Methods · Quantitative Biology 2024-07-16 Alexandria Volkening

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

Development from egg to embryo to adult is a fascinating instance of biological self-organization for which genetics has supplied us with a parts list. It remains to find the principles organizing the assembly of those parts. In the last…

Molecular Networks · Quantitative Biology 2018-01-30 Eric D. Siggia

Self-organization is a fundamental process of complex biological systems, particularly during the early stages of development. In the mammalian embryo, blastocyst formation exemplifies a self-organized system, involving the correct…

Quantitative Methods · Quantitative Biology 2025-05-30 Michael A. Ramirez-Sierra , Thomas R. Sokolowski

The improbability of a spontaneously generated self-assembling molecule has suggested that life began with a set of simpler, collectively replicating elements, such as an enclosed autocatalytic set of polymers (or protocell). Since…

Adaptation and Self-Organizing Systems · Physics 2013-08-26 Liane Gabora

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

Self-organisation is the spontaneous emergence of spatio-temporal structures and patterns from the interaction of smaller individual units. Examples are found across many scales in very different systems and scientific disciplines, from…

Self-organization can be broadly defined as the ability of a system to display ordered spatio-temporal patterns solely as the result of the interactions among the system components. Processes of this kind characterize both living and…

Adaptation and Self-Organizing Systems · Physics 2025-12-22 Carlos Gershenson , Vito Trianni , Justin Werfel , Hiroki Sayama

Self-organization is the generation of order out of local interactions in non-equilibrium [1]. It is deeply connected to all fields of science from physics, chemistry to biology where functional living structures self-assemble[2] and…

Soft Condensed Matter · Physics 2018-10-24 Utsab Khadka , Viktor Holubec , Haw Yang , Frank Cichos

Embryogenesis, the process by which an organism forms and develops, has long been and still is a major field of investigation in the natural sciences. By which means, which forces, are embryonic cells and tissues assembled, deformed, and…

Other Quantitative Biology · Quantitative Biology 2016-03-07 Raphael Clement

The quantum self-organization is introduced as one of the major underlying mechanisms of the quantum many-body systems, for instance, atomic nuclei. It is shown that atomic nuclei are not necessarily like simple rigid vases containing…

Nuclear Theory · Physics 2018-03-14 T. Otsuka , Y. Tsunoda , T. Togashi , N. Shimizu , T. Abe

The idea is advanced that self-organization in complex systems can be treated as decision making (as it is performed by humans) and, vice versa, decision making is nothing but a kind of self-organization in the decision maker nervous…

Adaptation and Self-Organizing Systems · Physics 2014-08-08 V. I. Yukalov , D. Sornette

Across metazoans, early embryos exhibit a strikingly conserved slowing down of their cell duplication speed, despite widely varying developmental paces and underlying molecular mechanisms. Here we show that this common behavior arises…

We developed a mechanical model of spermatozoal swimming in bulk suspensions. We traced the spatiotemporal elastohydrodynamic interactions and found that spermatozoa engaged in self-organisation: flagellar undulatory motion generated a…

Fluid Dynamics · Physics 2023-02-22 Nanami Taketoshi , Toshihiro Omori , Takuji Ishikawa

The metazoan body plan is established during early embryogenesis via collective cell rearrangements and evolutionarily conserved gene networks, as part of a process commonly referred to as gastrulation. While substantial progress has been…

Populations and Evolution · Quantitative Biology 2020-11-24 Kerim Anlas , Vikas Trivedi

A big challenge in current biology is to understand the exact self-organization mechanism underlying complex multi-physics coupling developmental processes. With multiscale computations of from subcellular gene expressions to cell…

Cell Behavior · Quantitative Biology 2021-05-18 Xiaoliang Wang , Dongyun Bai
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