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Understanding the relationship between spontaneous stochastic fluctuations and the topology of the underlying gene regulatory network is of fundamental importance for the study of single-cell stochastic gene expression. Here by solving the…

分子网络 · 定量生物学 2017-10-25 Chen Jia , Peng Xie , Min Chen , Michael Q. Zhang

Neurons regulate the distribution of signaling components across an extended tree-like cellular structure using both local and global feedback control. This is hypothesized to allow homeostatic control of the electrical activity of a neuron…

适应与自组织系统 · 物理学 2021-04-27 Saeed Aljaberi , Adriano Bellotti , Timothy O'Leary , Fulvio Forni

We study the convergence to equilibrium of an underdamped Langevin equation that is controlled by a linear feedback force. Specifically, we are interested in sampling the possibly multimodal invariant probability distribution of a Langevin…

最优化与控制 · 数学 2022-01-12 Tobias Breiten , Carsten Hartmann , Lara Neureither , Upanshu Sharma

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

统计力学 · 物理学 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks

The rate coding response of a single peripheral sensory neuron in the asymptotic, near-equilibrium limit can be derived using information theory, asymptotic Bayesian statistics and a theory of complex systems. Almost no biological knowledge…

神经元与认知 · 定量生物学 2020-12-14 Willy Wong

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

物理与社会 · 物理学 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

The authors consider stochastic aspects of the stabilization problem for two and three-dimensional Oseen equations with help of feedback control defined on a part of the fluid boundary. Stochastic issues arise when inevitable unpredictable…

偏微分方程分析 · 数学 2007-05-23 Jinqiao Duan , Andrei V. Fursikov

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

生物物理 · 物理学 2015-05-13 Sitabhra Sinha

We derive a simple sufficient condition for the local asymptotic stability of spatially discrete, continuous-time reaction-diffusion systems of networked dynamical systems at a homogeneous equilibrium point. The framework explicitly…

动力系统 · 数学 2026-05-07 Dinesh Kumar

Fundamental trade-off relations, such as quantum speed limit and quantum thermodynamic uncertainty relation, describe the performance limits of quantum systems by imposing that improvements in speed or precision necessitate a substantial…

量子物理 · 物理学 2025-09-30 Hayato Yunoki , Yoshihiko Hasegawa

Homeostasis is a running theme in biology. Often achieved through feedback regulation strategies, homeostasis allows living cells to control their internal environment as a means for surviving changing and unfavourable environments. While…

最优化与控制 · 数学 2016-01-29 Corentin Briat , Ankit Gupta , Mustafa Khammash

We consider Markov jump processes on a graph described by a rate matrix that depends on various control parameters. We derive explicit expressions for the static responses of edge currents and steady-state probabilities. We show that they…

统计力学 · 物理学 2024-08-28 Timur Aslyamov , Massimiliano Esposito

Irreversible processes accomplished in a fixed time involve nonlinearly coupled flows of matter, energy, and information. Here, using entropy production as an example, we show how thermodynamic uncertainty relations and speed limits on…

统计力学 · 物理学 2021-05-12 Schuyler B. Nicholson , Jason R. Green

Bistable biological regulatory systems need to cope with stochastic noise to fine-tune their function close to bifurcation points. Here, we study stability properties of this regime in generic systems to demonstrate that cooperative…

适应与自组织系统 · 物理学 2025-08-04 Daniele Proverbio , Arthur N. Montanari , Alexander Skupin , Jorge Gonçalves

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…

统计力学 · 物理学 2020-02-04 Clara del Junco , Suriyanarayanan Vaikuntanathan

Adaptive control is a classical control method for complex cyber-physical systems, including transportation networks. In this work, we analyze the convergence properties of such methods on exemplar graphs, both theoretically and…

最优化与控制 · 数学 2019-06-12 Jean Carpentier , Sebastien Blandin

Realizations of low firing rates in neural networks usually require globally balanced distributions among excitatory and inhibitory links, while feasibility of temporal coding is limited by neuronal millisecond precision. We show that…

神经元与认知 · 定量生物学 2015-06-16 Roni Vardi , Amir Goldental , Hagar Marmari , Haya Brama , Edward Stern , Shira Sardi , Pinhas Sabo , Ido Kanter

Many of the chemical reactions that take place within a living cell are irreversible. Due to evolutionary pressures, the number of allowable reactions within these systems are highly constrained and thus the resulting metabolic networks…

分子网络 · 定量生物学 2013-03-04 Jonathan J Crofts , Ernesto Estrada

Diverse physical systems are characterized by their response to small perturbations. Near thermodynamic equilibrium, the fluctuation-dissipation theorem provides a powerful theoretical and experimental tool to determine the nature of…

统计力学 · 物理学 2020-03-25 Jeremy A. Owen , Todd R. Gingrich , Jordan M. Horowitz

In a paper by Willems and coauthors it was shown that persistently exciting data can be used to represent the input-output behavior of a linear system. Based on this fundamental result, we derive a parametrization of linear feedback systems…

系统与控制 · 计算机科学 2019-09-10 Claudio De Persis , Pietro Tesi