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A model of pattern formation in living systems is presented. The pattern is achieved by the sequential interaction of two signaling pathways. The coupling of the pattern to the (thick) epithelial sheet changes is given, when the Gauss…

Tissues and Organs · Quantitative Biology 2009-05-11 Frederick W. Cummings

The importance of molecular-scale forces in sculpting biological form and function has been acknowledged for more than a century. Accounting for forces in biology is a problem that lies at the intersection of soft condensed matter physics,…

Soft Condensed Matter · Physics 2025-12-10 K. Vijay Kumar , Mandar M. Inamdar , Pramod A. Pullarkat , Gautam I. Menon

Motility is an essential factor for an organism's survival and diversification. With the advent of novel single-cell technologies, analytical frameworks and theoretical methods, we can begin to probe the complex lives of microscopic motile…

We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

Statistical Mechanics · Physics 2015-07-08 Ricardo Martínez-García , Clara Murgui , Emilio Hernández-García , Cristóbal López

The evolution of structure in biology is driven by accretion and change. Accretion brings together disparate parts to form bigger wholes. Change provides opportunities for growth and innovation. Here we review patterns and processes that…

Other Quantitative Biology · Quantitative Biology 2019-01-16 Derek Caetano-Anollés , Kelsey Caetano-Anollés , Gustavo Caetano-Anollés

Cell invasion and spatial pattern formation are two distinct manifestations of cellular self-organisation in development, regeneration, and disease. Here, we develop and analyse a unified theoretical framework that links these two seemingly…

Tissues and Organs · Quantitative Biology 2026-04-30 Carles Falcó , Samuel W. S. Johnson , Mohit P. Dalwadi , Philip K. Maini

In this letter, we investigate the geometrically tailorable elasticity in the twisting behavior of biomimetic scale-covered slender soft substrate. Motivated by our qualitative experiments showing a significant torsional rigidity increase,…

Soft Condensed Matter · Physics 2019-09-04 Hossein Ebrahimi , Hessein Ali , Ryan Alexander Horton , Jonathan Galvez , Ali Gordon , Ranajay Ghosh

The human brains are organized into hierarchically modular networks facilitating efficient and stable information processing and supporting diverse cognitive processes during the course of development. While the remarkable reconfiguration…

Neurons and Cognition · Quantitative Biology 2020-09-16 Xuyun Wen , Liming Hsu , Weili Lin , Han Zhang , Dinggang Shen

Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon…

Probability · Mathematics 2023-06-08 Emma Horton , Alexander R. Watson

Shape anisotropy of individual building blocks plays a crucial role in creating exotic structures and controlling phase behavior in equilibrium systems. We present a combined experimental and simulation study in which we used light-driven…

Soft Condensed Matter · Physics 2026-05-05 Yogesh Shelke , Anpuj Nair S , Hanumantha Rao Vutukuri

Self-organizing processes shape Earth's surface, creating complex patterns from simple rules in most landforms. Rainfall-induced mass movements dramatically reshape landscapes through rapid sediment transfer, but whether they self-organize…

Geophysics · Physics 2026-01-06 Zhengjing Ma , Gang Mei , Nengxiong Xu , Yongshuang Zhang , Jianbing Peng

The metabolism is the motor behind the biological complexity of an organism. One problem of characterizing its large-scale structure is that it is hard to know what to compare it to. All chemical reaction systems are shaped by the same…

Molecular Networks · Quantitative Biology 2011-05-10 Petter Holme , Mikael Huss , Sang Hoon Lee

Cortical plasticity is one of the main features that enable our ability to learn and adapt in our environment. Indeed, the cerebral cortex self-organizes itself through structural and synaptic plasticity mechanisms that are very likely at…

Neural and Evolutionary Computing · Computer Science 2020-09-03 Lyes Khacef , Laurent Rodriguez , Benoit Miramond

Cellular elastomeric metamaterials are interesting for various applications, e.g. soft robotics, as they may exhibit multiple microstructural pattern transformations, each with its characteristic mechanical behavior. Numerical literature…

Soft Condensed Matter · Physics 2020-05-13 S. Maraghechi , J. P. M. Hoefnagels , R. H. J. Peerlings , O. Rokoš , M. G. D. Geers

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

Beyond unicellular and multicellular organisms, there is a third type of structural complexity in living animals: that of the mechanical self-assembly of groups of distinct multicellular organisms into dynamical, functional structures. One…

Quantitative Methods · Quantitative Biology 2021-10-19 Thomas Bochynek , Florian Schiffers , André Aichert , Oliver Cossairt , Simon Garnier , Michael Rubenstein

Living creatures exhibit a remarkable diversity of locomotion mechanisms, evolving structures specialised for interacting with their environment. In the vast majority of cases, locomotor behaviours such as flying, crawling, and running, are…

Biological Physics · Physics 2020-07-28 Kirsty Y. Wan

In growing active matter systems, a large collection of engineered or living autonomous units metabolize free energy and create order at different length scales as they proliferate and migrate collectively. One such example is bacterial…

Soft Condensed Matter · Physics 2021-06-15 Japinder Nijjer , Changhao Li , Qiuting Zhang , Haoran Lu , Sulin Zhang , Jing Yan

A punctuated equilibrium model of biological evolution with relative fitness between different species being the fundamental driving force of evolution is introduced. Mutation is modeled as a fitness updating cellular automaton process…

Condensed Matter · Physics 2015-06-25 H. F. Chau , L. Mak , P. K. Kwok

Many microorganisms swim by performing larger non-reciprocal shape deformations that are initiated locally by molecular motors. However, it remains unclear how decentralized shape control determines the movement of the entire organism.…

Biological Physics · Physics 2025-05-14 Benedikt Hartl , Michael Levin , Andreas Zöttl