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This paper offers a qualitative insight into the convergence of Bayesian parameter inference in a setup which mimics the modeling of the spread of a disease with associated disease measurements. Specifically, we are interested in the…

统计理论 · 数学 2022-12-08 Samuel Bronstein , Stefan Engblom , Robin Marin

It has been generally recognized that stochasticity can play an important role in the information processing accomplished by reaction networks in biological cells. Most treatments of that stochasticity employ Gaussian noise even though it…

分子网络 · 定量生物学 2015-05-30 Neda Bostani , David A. Kessler , Nadav M. Shnerb , Wouter-Jan Rappel , Herbert Levine

The influence of the initial preparation on dephasing in open quantum dynamics is studied using an exactly solvable model of a two-level system (qubit) interacting with a bosonic bath. It is found that for some classes of non-selective…

量子物理 · 物理学 2015-06-11 V. V. Ignatyuk , V. G. Morozov

The study of noise assisted transport in quantum systems is essential in a wide range of applications from near-term NISQ devices to models for quantum biology. Here, we study a generalised XXZ model in the presence of stochastic collision…

量子物理 · 物理学 2023-11-16 Alessandro Civolani , Vittoria Stanzione , Maria Luisa Chiofalo , Jorge Yago Malo

We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a…

适应与自组织系统 · 物理学 2012-04-23 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

Bacteriophage-bacteria interactions are central to microbial ecology, influencing evolution, biogeochemical cycles, and pathogen behavior. Most theoretical models assume static environments and passive bacterial hosts, neglecting the joint…

生物物理 · 物理学 2025-12-10 Hao-Neng Luo , Zhi-Xi Wu , Jian-Yue Guan

A stochastic system where bistability is caused by noise has been recently investigated by Biancalani et al. (PRL 112:038101, 2014). They have computed the mean switching time for such a system using a continuous Fokker-Planck equation…

统计力学 · 物理学 2015-06-23 Bahram Houchmandzadeh , Marcel Vallade

We present a model for a biological reactor in which bacteria tend to aggregate in flocs, as encountered in wastewater treatment plants. The influence of this flocculation on the growth dynamics of the bacteria is studied. We argue that a…

种群与进化 · 定量生物学 2007-05-23 Bart Haegeman , Claude Lobry , Jerome Harmand

Covariate balancing is a popular technique for controlling confounding in observational studies. It finds weights for the treatment group which are close to uniform, but make the group's covariate means (approximately) equal to those of the…

统计方法学 · 统计学 2025-03-07 Shiva Kaul , Min-Gyu Kim

The exchange of small molecular signals within microbial populations is generally referred to as quorum sensing (QS). QS is ubiquitous in nature and enables microorganisms to respond to fluctuations in living environments by working…

细胞行为 · 定量生物学 2019-09-16 Yuting Fang , Adam Noel , Andrew W. Eckford , Nan Yang

In this paper, we discuss the existence and uniqueness of coexistence states for a class of non-local elliptic system. This problem models the behaviour of a bacteria and a living nutrient, whose diffusion depends on the population of the…

偏微分方程分析 · 数学 2024-02-06 M. A. V. Costa , Y. B. C. Carranza , C. Morales-Rodrigo , A. Suarez

We present a theoretical study of noise-induced quantum coherences in a model three-level V-type system interacting with incoherent radiation, an important prototype for a wide range of physical systems ranging from trapped ions to…

化学物理 · 物理学 2015-06-19 Timur V. Tscherbul , Paul Brumer

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

This paper studies a distributed continuous-time bi-virus model in which two competing viruses spread over a network consisting of multiple groups of individuals. Limiting behaviors of the network are characterized by analyzing the…

最优化与控制 · 数学 2019-01-04 Ji Liu , Philip E. Pare , Angelia Nedich , Choon Yik Tang , Carolyn L. Beck , Tamer Basar

This paper studies covariate adjusted estimation of the average treatment effect in stratified experiments. We work in a general framework that includes matched tuples designs, coarse stratification, and complete randomization as special…

计量经济学 · 经济学 2024-07-23 Max Cytrynbaum

The vast majority of the literature on learning dynamical systems or stochastic processes from time series has focused on stable or ergodic systems, for both Bayesian and frequentist inference procedures. However, most real-world systems…

机器学习 · 统计学 2025-07-02 Zachary P Adams , Sayan Mukherjee

We explore a strategy for protecting the evolution of a qubit against the effects of environmental noise based on the application of controlled time-dependent perturbations. In the case of a purely decohering coupling, an explicit sequence…

量子物理 · 物理学 2007-05-23 Lorenza Viola , Seth Lloyd

The effect of small-amplitude noise on excitable systems with large time-scale separation is analyzed. It is found that small random perturbations of the fast excitatory variable result in the onset of a quasi-deterministic limit cycle…

定量方法 · 定量生物学 2007-05-23 Cyrill B. Muratov , Eric Vanden-Eijnden , Weinan E

We study the phenomenon of system size stochastic resonance within the nonequilibrium potential's framework. We analyze three different cases of spatially extended systems, exploiting the knowledge of their nonequilibrium potential, showing…

统计力学 · 物理学 2009-11-11 B. von Haeften , G. Izus , H. S. Wio

We introduce two stochastic chemostat models consisting in a coupled population-nutrient process reflecting the interaction between the nutrient and the bacterias in the chemostat with finite volume. The nutrient concentration evolves…

概率论 · 数学 2012-06-19 Pierre Collet , Servet Martinez , Sylvie Meleard , Jaime San Martin