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Cell-fate transition can be modeled by ordinary differential equations (ODEs) which describe the behavior of several molecules in interaction, and for which each stable equilibrium corresponds to a possible phenotype (or 'biological…

Dynamical Systems · Mathematics 2021-04-12 Nastassia Pouradier Duteil , Jules Guilberteau , Camille Pouchol , Nastassia Duteil

We theoretically explore the dynamical properties of a first-order dissipative phase transition in coherently driven Bose-Hubbard systems, describing, e.g., lattices of coupled nonlinear optical cavities. Via stochastic trajectory…

Quantum Physics · Physics 2018-02-07 Filippo Vicentini , Fabrizio Minganti , Riccardo Rota , Giuliano Orso , Cristiano Ciuti

Understanding how multi-component liquid mixtures undergo phase separation is central to elucidating biophysical organization in the cell. Here, combining analytical and numerical results, we characterise the dynamics of mixtures with…

Soft Condensed Matter · Physics 2026-02-06 Giacomo Bartolucci , Fabrizio Olmeda

We performed Monte Carlo simulations of the symbiotic contact process on different spatial dimensions ($d$). On the complete and random graphs (infinite dimension), we observe hysteresis cycles and bistable regions, what is consistent with…

We study a stochastic two-species chemical reaction system with two mechanisms. One mechanism consists of chemical interactions which govern the overall drift of species amounts in the system; the other mechanism consists of resampling,…

Probability · Mathematics 2014-05-06 John K. McSweeney , Lea Popovic

Multistability of mesoscopic, driven biochemical reaction systems has implications to a wide range of cellular processes. Using several simple models, we show that one class of bistable chemical systems has a deterministic counterpart in…

Chemical Physics · Physics 2010-11-12 Yunxin Zhang , Hao Ge , Hong Qian

Mixtures of near-symmetric oppositely charged components with strong attractive short range interactions exhibit ordered lamellar phases at low temperatures. In the strong segregation limit the state of these systems can be described by the…

Soft Condensed Matter · Physics 2007-05-23 Francisco J. Solis , Galen T. Pickett

Bistability is considered wide-spread among bacteria and eukaryotic cells, useful e.g. for enzyme induction, bet hedging, and epigenetic switching. However, this phenomenon has mostly been described with deterministic dynamic or well-mixed…

Subcellular Processes · Quantitative Biology 2017-02-08 Robert G. Endres

Motivated by recent findings, we discuss the existence of a direct and robust mechanism providing discontinuous absorbing transitions in short range systems with single species, with no extra symmetries or conservation laws. We consider…

Statistical Mechanics · Physics 2014-02-10 Carlos E. Fiore

We present a one dimensional model for the nonlinear response of a colloidal crystal to intense light illumination along a high symmetry direction. The strong coupling between light and the colloidal lattice, via the electric gradient force…

Condensed Matter · Physics 2009-10-30 E. Lidorikis , Qiming Li , C. M. Soukoulis

Biological systems are typically very complex and need to be reduced before they are amenable to a thorough analysis. Also, they often possess functionally important dynamic features like bistability. In model reduction, it is sometimes…

Molecular Networks · Quantitative Biology 2007-05-23 Steffen Waldherr , Thomas Eissing , Madalena Chaves , Frank Allgower

Cellular decision-making (CDM) is a dynamic phenomenon often controlled by regulatory networks defining interactions between genes and transcription factor proteins. Traditional studies have focussed on molecular switches such as positive…

Molecular Networks · Quantitative Biology 2024-04-09 Akriti Srivastava , Mubasher Rashid

Resonant light interacting with matter can support different phases of a polarizable medium, and optical bistability where two such phases coexist. Here we identify signatures of optical phase transitions and optical bistability mapped onto…

Atomic Physics · Physics 2020-11-10 C. D. Parmee , J. Ruostekoski

We show how fragile stable matchings are in a decentralized one-to-one matching setting. The classical work of Roth and Vande Vate (1990) suggests simple decentralized dynamics in which randomly-chosen blocking pairs match successively.…

Theoretical Economics · Economics 2024-03-20 Kirill Rudov

In a recent article, Wang et al (Phys. Chem. Chem. Phys., 22, 10624 (2020)) introduced a new class of interparticle potential for molecular simulations. The potential is defined by a single range parameter, eliminating the need to decide…

Statistical Mechanics · Physics 2023-11-08 Olivia S. Moro , Vincent Ballenegger , Tom L. Underwood , Nigel B. Wilding

The periodic modulation of an oscillator's frequency can lead to so-called parametric oscillations at half the driving frequency, which display bistability between two states whose phases differ by \pi. Such phase-locking bistability is at…

Pattern Formation and Solitons · Physics 2018-04-25 Rubén Martínez-Lorente , Fernando Silva , Germán J. de Valcárcel

The evolutionary effect of recombination depends crucially on the epistatic interactions between linked loci. A paradigmatic case where recombination is known to be strongly disadvantageous is a two-locus fitness landscape dis- playing…

Populations and Evolution · Quantitative Biology 2012-02-13 Su-Chan Park , Joachim Krug

We study synchronization in large populations of coupled phase oscillators with time-delays, higher order interactions. With each of these effects individually giving rise to bistabiltiy between incoherence and synchronization via a…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Per Sebastian Skardal , Can Xu

Gibbs' phase rule states that two-phase coexistence of a single-component system, characterized by an n-dimensional parameter-space, may occur in an n-1-dimensional region. For example, the two equilibrium phases of the Ising model coexist…

Statistical Mechanics · Physics 2009-11-10 M. A. Munoz , F. de los Santos , M. M. Telo da Gama

A generic photonic coupler with active and lossy parts, gain saturation and asymmetric characteristics is examined. Saturable activity is shown to be able to enhance the overall stability of the steady states, prevent evolution to…