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Multicellular rosettes are observed in different situations such as morphogenesis, wound healing, and cancer progression. While some molecular insights have been gained to explain the presence of these assemblies of five or more cells…

During developmental processes such as embryogenesis, how a group of cells fold into specific structures, is a central question in biology that defines how living organisms form. Establishing tissue-level morphology critically relies on how…

Soft Condensed Matter · Physics 2024-07-23 Haiqian Yang , Anh Q. Nguyen , Dapeng Bi , Markus J. Buehler , Ming Guo

This paper introduces a continuous model for Multi-cellular Developmental Design. The cells are fixed on a 2D grid and exchange "chemicals" with their neighbors during the growth process. The quantity of chemicals that a cell produces, as…

Artificial Intelligence · Computer Science 2007-05-23 Alexandre Devert , Nicolas Bredèche , Marc Schoenauer

The polarisation of cells and tissues is fundamental for tissue morphogenesis during biological development and regeneration. A deeper understanding of biological polarity pattern formation can be gained from the consideration of pattern…

Cell Behavior · Quantitative Biology 2017-10-23 Karl B. Hoffmann , Anja Voss-Böhme , Jochen C. Rink , Lutz Brusch

In this study, we explore a mathematical model for tissue growth focusing on the interplay between multiple cell subpopulations with distinct phenotypic characteristics. The model addresses the dynamics of tissue growth influenced by…

Analysis of PDEs · Mathematics 2024-09-05 Tomasz Dębiec , Mainak Mandal , Markus Schmidtchen

As individuals communicate, their exchanges form a dynamic network. We demonstrate, using time series analysis of communication in three online settings, that network structure alone can be highly revealing of the diversity and novelty of…

Social and Information Networks · Computer Science 2012-05-23 Chun-Yuen Teng , Liuling Gong , Avishay Livne , Celso Brunetti , Lada A. Adamic

Biomolecular condensates constitute a newly recognized form of spatial organization in living cells. Although many condensates are believed to form as a result of phase separation, the physicochemical properties that determine the phase…

Biological Physics · Physics 2023-07-11 William M. Jacobs

An antithetical concept, adaptive symmetry, to conservative symmetry in physics is proposed to understand the deep neural networks (DNNs). It characterizes the invariance of variance, where a biotic system explores different pathways of…

Machine Learning · Computer Science 2022-01-21 Shawn W. M. Li

Based on symmetry consideration of migration and shape deformations, we formulate phenomenologically the dynamics of cell crawling in two dimensions. Forces are introduced to change the cell shape. The shape deformations induce migration of…

Biological Physics · Physics 2016-03-23 Takao Ohta , Mitsusuke Tarama , Masaki Sano

What features characterise complex system dynamics? Power laws and scale invariance of fluctuations are often taken as the hallmarks of complexity, drawing on analogies with equilibrium critical phenomena[1-3]. Here we argue that slow,…

Statistical Mechanics · Physics 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen , L. P. Oliveira , Paolo Sibani

We define a novel quantitative strategy inspired by the ecological notion of nestedness to single out the scale at which innovation complexity emerges from the aggregation of specialized building blocks. Our analysis not only suggests that…

General Economics · Economics 2019-09-13 Emanuele Pugliese , Lorenzo Napolitano , Matteo Chinazzi , Guido Chiarotti

Macroevolutionary dynamics often display sudden, explosive surges, where systems remain relatively stable for extended periods before experiencing dramatic acceleration that frequently exceeds traditional exponential growth. This pattern is…

Physics and Society · Physics 2026-01-23 Alessandro Bellina , Giordano De Marzo , Vittorio Loreto

The prisoner's dilemma has long been considered the paradigm for studying the emergence of cooperation among selfish individuals. Because of its importance, it has been studied through computer experiments as well as in the laboratory and…

chao-dyn · Physics 2009-10-22 Bernardo A. Huberman , Natalie S. Glance

Why are living systems complex? Why does the biosphere contain living beings with complexity features beyond those of the simplest replicators? What kind of evolutionary pressures result in more complex life forms? These are key questions…

Populations and Evolution · Quantitative Biology 2023-11-13 Seoane LF , Solé R

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

Forecasting complex dynamical phenomena in settings where only partial knowledge of their dynamics is available is a prevalent problem across various scientific fields. While purely data-driven approaches are arguably insufficient in this…

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

Dynamics is central to living systems. In the last two decades, experiments have revealed that the dynamics in diverse biological systems - from intracellular cytoplasm to cellular and organismal aggregates - are remarkably similar to that…

Soft Condensed Matter · Physics 2024-03-12 Souvik Sadhukhan , Subhodeep Dey , Smarajit Karmakar , Saroj Kumar Nandi

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

Biological Physics · Physics 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

Bivalency confers several concentration-dependent phenomena, including avidity, competitive exchange and multi-site competitive exchange. Since these concepts are crucial for a wide variety of topics in cell and molecular biology, their…

Statistical Mechanics · Physics 2022-01-19 Richard E. Spinney , Lawrence K. Lee , Richard G. Morris