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Biochemical oscillations are prevalent in living organisms. Systems with a small number of constituents cannot sustain coherent oscillations for an indefinite time because of fluctuations in the period of oscillation. We show that the…

Statistical Mechanics · Physics 2017-06-29 Andre C Barato , Udo Seifert

Living systems regulate many aspects of their behavior through periodic oscillations of molecular concentrations, which function as `biochemical clocks.' These clocks are intrinsically subject to thermal fluctuations, so that the duration…

Biological Physics · Physics 2020-08-10 Robert Marsland , Wenping Cui , Jordan M. Horowitz

Biochemical oscillations are ubiquitous in nature and allow organisms to properly time their biological functions. In this paper, we consider minimal Markov state models of nonequilibrium biochemical networks that support oscillations. We…

Statistical Mechanics · Physics 2020-02-04 Clara del Junco , Suriyanarayanan Vaikuntanathan

Oscillation is an important cellular process that regulates timing of different vital life cycles. However, in the noisy cellular environment, oscillations can be highly inaccurate due to phase fluctuations. It remains poorly understood how…

Biological Physics · Physics 2015-09-30 Yuansheng Cao , Hongli Wang , Qi Ouyang , Yuhai Tu

We investigate the nonequilibrium energetics near a critical point of a non-linear driven oscillator immersed in an active bacterial bath. At the critical point, we reveal a scaling exponent of the average power $\langle\dot{W}\rangle\sim…

Soft Condensed Matter · Physics 2021-02-16 Ashwin Gopal , Édgar Roldán , Stefano Ruffo

Oscillatory chemical reactions often serve as a timing clock of cellular processes in living cells. The temporal dynamics of protein concentration levels is thus of great interest in biology. Here we propose a theoretical framework to…

Systems and Control · Computer Science 2015-03-20 Yutaka Hori , Shinji Hara

Nearly all circadian clocks maintain a period that is insensitive to temperature changes, a phenomenon known as temperature compensation (TC). Yet, it is unclear whether there is any common feature among different systems that exhibit TC.…

Molecular Networks · Quantitative Biology 2024-01-26 Haochen Fu , Chenyi Fei , Qi Ouyang , Yuhai Tu

Living and non-living active matter consumes energy at the microscopic scale to drive emergent, macroscopic behavior including traveling waves and coherent oscillations. Recent work has characterized non-equilibrium systems by their total…

Statistical Mechanics · Physics 2021-01-22 Daniel S. Seara , Benjamin B. Machta , Michael P. Murrell

The emergence of periodic oscillations is observed in various complex systems in nature and engineering. Thermoacoustic oscillations in systems comprising turbulent reactive flow exemplify such complexity in the engineering context, where…

Temporal order in living matters reflects the self-organizing nature of dynamical processes driven out of thermodynamic equilibrium. Because of functional reason, the period of a biochemical oscillation must be tuned to a specific value…

Biological Physics · Physics 2022-02-28 Pureun Kim , Changbong Hyeon

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

Organisms often use cyclic changes in the concentrations of chemicals species to precisely time biological functions. Underlying these biochemical clocks are chemical reactions and transport processes, which are inherently stochastic.…

Statistical Mechanics · Physics 2020-02-06 Clara del Junco , Suriyanarayanan Vaikuntanathan

Biochemical oscillations, regulating the timing of life processes, need consume energy to achieve good performance on crucial functions, such as high accuracy of phase period and high sensitivity to external signals. However, it is a great…

Statistical Mechanics · Physics 2022-07-11 Zhiyu Cao , Zhonghuai Hou

Oscillations in nonequilibrium noisy systems are important physical phenomena. These oscillations can happen in autonomous biochemical oscillators such as circadian clocks. They can also manifest as subharmonic oscillations in periodically…

Statistical Mechanics · Physics 2019-12-25 Daniele De Martino , Andre C Barato

Inspired by recent experiments on fluctuations of the flagellar beating in sperms and C. reinhardtii, we investigate the precision of phase fluctuations in a system of nearest-neighbour-coupled molecular motors. We model the system as a…

Statistical Mechanics · Physics 2024-03-03 Giulio Costantini , Andrea Puglisi

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

We study the thermodynamic properties of an ideal gas of fermions in a harmonic oscillator confining potential. The analogy between this problem and the de Haas-van Alphen effect is discussed and used to obtain analytical results for the…

Statistical Mechanics · Physics 2007-05-23 D. J. Toms

We study a mechanism for reliable switching in biomolecular signal-transduction cascades. Steady bistable states are created by system-size cooperative effects in populations of proteins, in spite of the fact that the phosphorylation-state…

Subcellular Processes · Quantitative Biology 2015-05-30 Eric Smith , Supriya Krishnamurthy , Walter Fontana , David Krakauer

We study chemical oscillators in the presence of phase separation. By imposing timescale separation between slow reactions and fast diffusion, we define a dynamics at phase equilibrium for the relevant degrees of freedom. We demonstrate…

Soft Condensed Matter · Physics 2025-07-23 Jonathan Bauermann , Giacomo Bartolucci , Artemy Kolchinsky

Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function. Here, we…

Tissues and Organs · Quantitative Biology 2023-01-26 Lingyun Xiong , Alan Garfinkel
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