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Stabilization of non-stationary linear systems over noisy communication channels is considered. Stochastically stable sources, and unstable but noise-free or bounded-noise systems have been extensively studied in information theory and…

信息论 · 计算机科学 2012-05-07 Serdar Yüksel

Ion channels are of major interest and form an area of intensive research in the fields of biophysics and medicine since they control many vital physiological functions. The aim of this work is on one hand to propose a fully stochastic and…

生物大分子 · 定量生物学 2016-01-11 Daniela Morale , Mattia Zanella , Vincenzo Capasso , Willi Jaeger

The non-Markovianity of open quantum system dynamics is often associated with the bidirectional interchange of information between the system and its environment, and it is thought to be a resource for various quantum information tasks. We…

量子物理 · 物理学 2023-03-28 Arzu Kurt

A model of mobile, charged ion channels embedded in a biomembrane is investigated. The ion channels fluctuate between an opened and a closed state according to a simple two-state reaction scheme whereas the total number of ion channels is a…

斑图形成与孤子 · 物理学 2009-11-11 Ronny Peter , Walter Zimmermann

Many ion channels spontaneously switch between different levels of activity. Although this behaviour known as modal gating has been observed for a long time it is currently not well understood. Despite the fact that appropriately…

定量方法 · 定量生物学 2018-08-14 Ivo Siekmann , Mark Fackrell , Edmund J. Crampin , Peter Taylor

We consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the direction of the forcing, the height of the two barriers, one for each path,…

概率论 · 数学 2018-03-05 Tommy Liu

Stochastic transitions between discrete microscopic states play an important role in many physical and biological systems. Often, these transitions lead to fluctuations on a macroscopic scale. A classic example from neuroscience is the…

统计力学 · 物理学 2024-02-20 Lukas Ramlow , Benjamin Lindner

Brownian ratchet like stochastic theory for the electrochemical membrane system of Hodgkin-Huxley (HH) is developed. The system is characterized by a continuous variable $Q_m(t)$, representing mobile membrane charge density, and a discrete…

生物物理 · 物理学 2014-05-19 Hong Qian , Xue-Juan Zhang , Min Qian

It is quite clear from a wide range of experiments that gating phenomena of ion channels is inherently stochastic. It has been discussed using BD simulations in a recent paper that memory effects in ion transport is negligible, unless the…

神经元与认知 · 定量生物学 2008-01-25 Sisir Roy , Indranil Mitra , Rodolfo Llinas

The concept of stochastic resonance in nonlinear dynamics is applied to interpret the capacity of noisy quantum channels. The two-Pauli channel is used to illustrate the idea. The fidelity of the channel is also considered. Noise…

量子物理 · 物理学 2008-12-18 Julian Juhi-Lian Ting

Stochastic resetting describes dynamics which are reinitialized to a reference state at random times. These protocols are attracting significant interest: they can stabilize nonequilibrium stationary states, generate correlations in…

量子物理 · 物理学 2026-01-21 Federico Carollo , Sascha Wald

We introduce a non-Markovianity measure for continuous variable open quantum systems based on the idea put forward in H.-P. Breuer et al., Phys. Rev. Lett.\textbf{103}, 210401 (2009), i.e., by quantifying the flow of information from the…

Experiments measuring currents through single protein channels show unstable currents, a phenomena called the gating of a single channel. Channels switch between an 'open' state with a well defined single amplitude of current and 'closed'…

生物大分子 · 定量生物学 2018-05-18 Nir Gavish , Chun Liu , Bob Eisenberg

We numerically study stochastic resonance in the unzipping of a model double-stranded DNA by a periodic force. We observe multiple peaks in stochastic resonance in the output signal as the driving force frequency is varied for different…

软凝聚态物质 · 物理学 2023-08-22 Ramu Kumar Yadav , M. Suman Kalyan , Rajeev Kapri , Abhishek Chaudhuri

It is shown that the exact dynamics of a composite quantum system can be represented through a pair of product states which evolve according to a Markovian random jump process. This representation is used to design a general Monte Carlo…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

The opening rate of voltage-gated potassium ion channels exhibits a characteristic, knee-like turnover where the common exponential voltage-dependence changes suddenly into a linear one. An explanation of this puzzling crossover is put…

生物物理 · 物理学 2009-11-07 Igor Goychuk , Peter Hänggi

We explore the impact of non-Markovian channels on the quantum correlations (QCs) of Haar uniformly generated random two-qubit input states with different ranks -- either one of the qubits (single-sided) or both the qubits independently…

量子物理 · 物理学 2022-02-22 Rivu Gupta , Shashank Gupta , Shiladitya Mal , Aditi Sen De

The random transitions of ion channels between conducting and non-conducting states generate a source of internal fluctuations in a neuron, known as channel noise. The standard method for modeling fluctuations in the states of ion channels…

神经元与认知 · 定量生物学 2011-04-27 Joshua H. Goldwyn , Nikita S. Imennov , Michael Famulare , Eric Shea-Brown

We show the existence of internal stochastic resonance in a microscopic stochastic model for the oscillating CO oxidation on single crystal surfaces. This stochastic resonance arises directly from the elementary reaction steps of the system…

凝聚态物理 · 物理学 2007-05-23 O. Kortlüke , V. N. Kuzovkov , W. von Niessen

We present a detailed study of the non-Markovian two-state system dynamics for the regime of incoherent quantum tunneling. Using perturbation theory in the system tunneling amplitude $\Delta$, and in the limit of strong system-bath…

量子物理 · 物理学 2013-05-29 M. H. S. Amin , Frederico Brito