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The process by which one may take a discrete model of a biophysical process and construct a continuous model based on it is of mathematical interest as well as being of practical use. In this paper, we first study the singular limit of a…

Analysis of PDEs · Mathematics 2019-01-01 Lianzhang Bao , Zhengfang Zhou

We demonstrate that the coupling of excitonic and vibrational motion in biological complexes can provide mechanisms to explain the long-lived oscillations that have been obtained in non linear spectroscopic signals of different…

Chemical Physics · Physics 2015-06-17 M. B. Plenio , J. Almeida , S. F. Huelga

Very recently [Phys. Rev. E 82, 021921 (2010)] a simple mechanism was presented by which a molecule subjected to forced oscillations, out of thermal equilibrium, can maintain quantum entanglement between two of its quantum degrees of…

Quantum Physics · Physics 2012-07-16 Gian Giacomo Guerreschi , Jianming Cai , Sandu Popescu , Hans J. Briegel

Active matter taps into external energy sources to power its own processes. Systems of passive particles ordinarily lack this capacity, but can become active if the constituent particles interact with each other nonreciprocally. By…

Soft Condensed Matter · Physics 2024-11-22 Ella M. King , Mia C. Morrell , Jacqueline B. Sustiel , Matthew Gronert , Hayden Pastor , David G. Grier

A dynamical systems scenario for developmental cell biology is proposed, based on numerical studies of a system with interacting units with internal dynamics and reproduction. Diversification, formation of discrete and recursive types, and…

chao-dyn · Physics 2009-10-31 Kunihiko Kaneko , Chikara Furusawa

Self-propelled particles accumulate on repulsive barriers in so-called active wetting, but the relationship between this process and equilibrium wetting remains unclear. Using an exact (noiseless) hydrodynamic framework for an active…

Statistical Mechanics · Physics 2025-12-10 Noah Grodzinski , Robert L. Jack , Michael E. Cates

Synthetic reverberating activity patterns are experimentally generated by stimulation of a subset of neurons embedded in a spontaneously active network of cortical cells in-vitro. The neurons are artificially connected by means of…

Neurons and Cognition · Quantitative Biology 2012-03-27 Roni Vardi , Avner Wallach , Evi Kopelowitz , Moshe Abeles , Shimon Marom , Ido Kanter

Pulsatory activity patterns, driven by mechanochemical feedback, are prevalent in many biological systems. Here we present a theoretical framework to elucidate the mechanical origin and regulation of pulsatile activity patterns within…

Biological Physics · Physics 2023-10-10 Fernanda Pérez-Verdugo , Samuel Banks , Shiladitya Banerjee

We investigate the interplay between phase lag and adaptive learning rules in a network of identical pendulum oscillators, where the coupling strengths evolve dynamically in response to the oscillators' states. Specifically, we examine two…

Adaptation and Self-Organizing Systems · Physics 2026-03-12 R. Anand , V. K. Chandrasekar , R. Suresh

Recent studies of the phase diagram for spherical, purely repulsive, active particles established the existence of a transition from a liquid-like to a solid-like phase analogous to the one observed in colloidal systems at thermal…

Statistical Mechanics · Physics 2020-04-30 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi , Matteo Paoluzzi , Andrea Puglisi

When a large number of similar entities interact among each other and with their environment at a low scale, unexpected outcomes at higher spatio-temporal scales might spontaneously arise. This nontrivial phenomenon, known as emergence,…

Physics and Society · Physics 2022-05-25 Oriol Artime , Manlio De Domenico

We study the dynamics of proliferating cell collectives whose microscopic constituents' growth is inhibited by macroscopic growth-induced stress. Discrete particle simulations of a growing collective show the emergence of concentric-ring…

Biological Physics · Physics 2024-05-17 Scott Weady , Bryce Palmer , Adam Lamson , Taeyoon Kim , Reza Farhadifar , Michael J. Shelley

This paper attempts to make feasible the evolutionary emergence of novelty in a supposedly deterministic world which behavior is associated with those of the mathematical dynamical systems. The work was motivated by the observation of…

Adaptation and Self-Organizing Systems · Physics 2024-06-26 R. Herrero , F. Pi , J. Rius , G. Orriols

A system of two initially homogeneous, physically real fields uniformly attracted to each other is considered as the simplest basis of the self-developing world structure. It is shown that the system is unstable against periodic cycles of…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

We analyze the physical mechanisms leading either to synchronization or to the formation of spatio-temporal patterns in a lattice model of pulse-coupled oscillators. In order to make the system tractable from a mathematical point of view we…

Statistical Mechanics · Physics 2009-10-30 Albert Diaz-Guilera , Conrad J. Perez , Alex Arenas

Oscillations are omnipresent in neural population signals, like multi-unit recordings, EEG/MEG, and the local field potential. They have been linked to the population firing rate of neurons, with individual neurons firing in a…

Neurons and Cognition · Quantitative Biology 2017-02-08 Hannah Bos , Markus Diesmann , Moritz Helias

We study the emergence and coherence of stochastic oscillations in star networks of excitable elements in which peripheral nodes receive independent random inputs. A biophysical model of a distal branch of sensory neuron in which peripheral…

Biological Physics · Physics 2016-04-21 Justus A. Kromer , Lutz Schimansky-Geier , Alexander B. Neiman

Periodic forcing of nonlinear oscillators leads to a large number of dynamic behaviors. The coupling of the cell-cycle to the circadian clock provides a biological realization of such forcing. Using high throughput single-cell microscopy,…

Motile cilia are slender, hair-like cellular appendages that spontaneously oscillate under the action of internal molecular motors and are typically found in dense arrays. These active filaments coordinate their beating to generate…

Soft Condensed Matter · Physics 2022-01-28 Brato Chakrabarti , Sebastian Fürthauer , Michael J. Shelley

From cytoskeletal networks to tissues, many biological systems behave as active materials. Their composition and stress-generation is affected by chemical reaction networks. In such systems, the coupling between mechanics and chemistry…

Biological Physics · Physics 2024-09-25 Luca Barberi , Karsten Kruse
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