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We develop a numerical approach to reconstruct the phase dynamics of driven or coupled self-sustained oscillators. Employing a simple algorithm for computation of the phase of a perturbed system, we construct numerically the equation for…

Computational Physics · Physics 2019-02-20 Michael Rosenblum , Arkady Pikovsky

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

Membrane phase-separation is a mechanism that biological membranes often use to locally concentrate specific lipid species in order to organize diverse membrane processes. Phase separation has also been explored as a tool for the design of…

Computational Physics · Physics 2020-06-26 Alexander Zhiliakov , Yifei Wang , Annalisa Quaini , Maxim Olshanskii , Sheereen Majd

Biologists and physicists have a rich tradition of modeling living systems with simple models composed of a few interacting components. Despite the remarkable success of this approach, it remains unclear how to use such finely tuned models…

Biological Physics · Physics 2025-09-05 Ilya Nemenman , Pankaj Mehta

By characterizing the phase dynamics in coupled oscillators, we gain insights into the fundamental phenomena of complex systems. The collective dynamics in oscillatory systems are often described by order parameters, which are insufficient…

Data Analysis, Statistics and Probability · Physics 2021-03-24 Kazuha Itabashi , Quoc Hoan Tran , Yoshihiko Hasegawa

Large-scale perturbations in the microbiome constitution are strongly correlated, whether as a driver or a consequence, with the health and functioning of human physiology. However, understanding the difference in the microbiome profiles of…

Quantitative Methods · Quantitative Biology 2022-09-08 Kateryna Melnyk , Kuba Weimann , Tim O. F. Conrad

We study the problem of phase separation in systems with a positive definite order parameter, and in particular, in systems with absorbing states. Owing to the presence of a single minimum in the free energy driving the relaxation kinetics,…

Condensed Matter · Physics 2009-10-31 M. A. Munoz , U. Marini Bettolo Marconi , R. Cafiero

Recent experimental and theoretical efforts have focused on the effect of dissipation on quantum many-body systems in their many-body localized (MBL) phase. While in the presence of dephasing noise such systems reach a unique ergodic state,…

Strongly Correlated Electrons · Physics 2017-02-01 Benjamin Everest , Igor Lesanovsky , Juan P. Garrahan , Emanuele Levi

We present a new method for constructing equilibrium phase models for stellar systems, which we call the iterative method. It relies on constrained, or guided evolution, so that the equilibrium solution has a number of desired parameters…

Astrophysics · Physics 2009-11-13 S. A. Rodionov , E. Athanassoula , N. Ya Sotnikova

The development of complex multicellular organisms from a single parent cell is a highly orchestrated process that cells conduct collectively without central guidance, creating intricate dynamic patterns essential for development and…

Soft Condensed Matter · Physics 2025-05-29 Siavash Monfared , Aleksandra Ardaševa , Amin Doostmohammadi

Living systems have time-evolving interactions that, until recently, could not be identified accurately from recorded time series in the presence of noise. Stankovski et al. (Phys. Rev. Lett. 109 024101, 2012) introduced a method based on…

Data Analysis, Statistics and Probability · Physics 2013-01-14 Andrea Duggento , Tomislav Stankovski , Peter V. E. McClintock , Aneta Stefanovska

We theoretically study mixtures of chemically-interacting particles, which produce or consume a chemical to which they are attracted or repelled, in the most general case of many coexisting species. We find a new class of active phase…

Soft Condensed Matter · Physics 2019-07-15 Jaime Agudo-Canalejo , Ramin Golestanian

How do living cells achieve sufficient abundances of functional protein complexes while minimizing promiscuous non-functional interactions? Here we study this problem using a first-principle model of the cell whose phenotypic traits are…

Biomolecules · Quantitative Biology 2011-01-04 Muyoung Heo , Sergei Maslov , Eugene I. Shakhnovich

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

A framework for performing event-driven, adaptive time step simulations of systems of rigid bodies interacting under stepped or terraced potentials in which the potential energy is only allowed to have discrete values is outlined. The…

Soft Condensed Matter · Physics 2008-08-11 Ramses van Zon , Jeremy Schofield

Liquid-liquid phase separation is important across biology, physics, and materials science. Although usually studied at equilibrium, active components - such as motor proteins, enzymes, and synthetic microswimmers - are increasingly…

Soft Condensed Matter · Physics 2026-01-06 Kan Chang , Yulin Li , Ming Yuan , Masaki Sano , Zhihong You , H. P. Zhang

The formation and dissociation of specific noncovalent interactions between a variety of macromolecules play a crucial role in the function of biological systems. During the last few years, three main lines of research led to a dramatic…

Biological Physics · Physics 2009-11-13 Pierre Bongrand

Motivated by recent experiments, we study a system of self-propelled colloids that experience short-range attractive interactions and are confined to a surface. Using simulations we find that the phase behavior for such a system is…

Soft Condensed Matter · Physics 2013-07-30 Gabriel S. Redner , Aparna Baskaran , Michael F. Hagan

Biological information processing manifests a huge variety in its complexity and capability among different organisms, which presumably stems from the evolutionary optimization under limited computational resources. Starting from the…

Biological Physics · Physics 2025-10-21 Takehiro Tottori , Tetsuya J. Kobayashi

Liquid-liquid phase separation is key to understanding aqueous two-phase systems (ATPS) arising throughout cell biology, medical science, and the pharmaceutical industry. Controlling the detailed morphology of phase-separating compound…

Soft Condensed Matter · Physics 2023-10-27 Eric W. Hester , Sean P. Carney , Vishwesh Shah , Alyssa Arnheim , Bena Patel , Dino Di Carlo , Andrea L. Bertozzi