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Regular firing neurons can be seen as oscillators. The phase-response curve (PRC) describes how such neurons will respond to small excitatory perturbations. Knowledge of the PRC is important as it is associated to the excitability type of…

神经元与认知 · 定量生物学 2010-01-05 Benjamin Torben-Nielsen , Marylka Uusisaari , Klaus M. Stiefel

At the level of individual neurons, various coding properties can be inferred from the input-output relationship of a cell. For small inputs, this relation is captured by the phase-response curve (PRC), which measures the effect of a small…

神经元与认知 · 定量生物学 2026-01-14 Janina Hesse , Susanne Schreiber

Synchronized neural spiking is associated with many cognitive functions and thus, merits study for its own sake. The analysis of neural synchronization naturally leads to the study of repetitive spiking and consequently to the analysis of…

神经元与认知 · 定量生物学 2017-07-19 Youngmin Park , Stewart Heitmann , G. Bard Ermentrout

The phase response curve (PRC) is an important measure representing the interaction between oscillatory elements. To understand synchrony in biological systems, many research groups have sought to measure PRCs directly from biological cells…

定量方法 · 定量生物学 2015-08-03 Kazuhiko Morinaga , Ryota Miyata , Toru Aonishi

The Phase Response Curve (PRC) is a tool used in neuroscience that measures the phase shift experienced by an oscillator due to a perturbation applied at different phases of the limit cycle. In this paper we present a new approach to PRCs…

动力系统 · 数学 2019-07-24 Alberto Pérez-Cervera , Tere M. Seara , Gemma Huguet

Phase response curve (PRC) is an extremely useful tool for studying the response of oscillatory systems, e.g. neurons, to sparse or weak stimulation. Here we develop a framework for studying the response to a series of pulses which are…

数据分析、统计与概率 · 物理学 2017-09-13 Vladimir Klinshov , Serhiy Yanchuk , Artur Stephan , Vladimir Nekorkin

The describing function (DF) and phase response curve (PRC) are classical tools for the analysis of feedback oscillations and rhythmic behaviors, widely used across control engineering, biology, and neuroscience. These tools are known to…

系统与控制 · 电气工程与系统科学 2025-11-27 Robin Wroblowski , Rodolphe Sepulchre

The "Phase Response Curve" (PRC) is a common tool used to analyze phase resetting in the natural sciences. We make the observation that the PRC with respect to a coordinate $y\in\mathbb{R}$ actually depends on the full choice of coordinates…

定量方法 · 定量生物学 2021-11-15 Simon Wilshin , Matthew D. Kvalheim , Shai Revzen

The phase sensitivity curve or phase response curve (PRC) quantifies the oscillator's reaction to stimulation at a specific phase and is a primary characteristic of a self-sustained oscillatory unit. Knowledge of this curve yields a phase…

适应与自组织系统 · 物理学 2022-12-08 Rok Cestnik , Erik T. K. Mau , Michael Rosenblum

The phase-resetting curve (PRC) describes the response of a neural oscillator to small perturbations in membrane potential. Its usefulness for predicting the dynamics of weakly coupled deterministic networks has been well characterized.…

动力系统 · 数学 2015-05-13 Aushra Abouzeid , Bard Ermentrout

Brain rhythms emerge as a result of synchronization among interconnected spiking neurons. Key properties of such rhythms can be gleaned from the phase-resetting curve (PRC). Inferring the macroscopic PRC and developing a systematic phase…

神经元与认知 · 定量生物学 2022-10-12 Gregory Dumont , Alberto Pérez-Cervera , Boris Gutkin

We demonstrate that the phase response curve (PRC) can be reconstructed using a weighted spike-triggered average of an injected fluctuating input. The key idea is to choose the weight to be proportional to the magnitude of the fluctuation…

适应与自组织系统 · 物理学 2009-05-18 Kaiichiro Ota , Masaki Nomura , Toshio Aoyagi

We investigate the phase response properties of the Hindmarsh-Rose model of neuronal bursting using burst phase response curves (BPRCs) computed with an infinitesimal perturbation approximation and by direct simulation of synaptic input.…

动力系统 · 数学 2009-10-13 William Erik Sherwood , John Guckenheimer

We examine the effect of the phase-resetting curve (PRC) on the transfer of correlated input signals into correlated output spikes in a class of neural models receiving noisy, super-threshold stimulation. We use linear response theory to…

神经元与认知 · 定量生物学 2015-05-13 Andrea K. Barreiro , Eric Shea-Brown , Evan L. Thilo

Many real oscillators are coupled to other oscillators and the coupling can affect the response of the oscillators to stimuli. We investigate phase response curves (PRCs) of coupled oscillators. The PRCs for two weakly coupled phase-locked…

神经元与认知 · 定量生物学 2009-11-13 Tae-Wook Ko , Bard Ermentrout

The collective behaviour of neural networks depends on the cellular and synaptic properties of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure of cellular properties that quantifies the shift in the next…

适应与自组织系统 · 物理学 2019-12-24 Abolfazl Ziaeemehr , Mina Zarei , Aida Sheshbolouki

We demonstrate that two key theoretical objects used widely in Computational Neuroscience, the phase-resetting curve (PRC) from dynamics and the spike triggered average (STA) from statistical analysis, are closely related under a wide range…

神经元与认知 · 定量生物学 2007-09-26 G. Bard Ermentrout , Roberto F. Galán Nathaniel N. Urban

The ROC curve is widely used to assess the quality of prediction/classification/ranking algorithms, and its properties have been extensively studied. The precision-recall (PR) curve has become the de facto replacement for the ROC curve in…

机器学习 · 统计学 2018-10-23 Jacqueline M. Hughes-Oliver

Perturbation theory is an important tool in the analysis of oscillators and their response to external stimuli. It is predicated on the assumption that the perturbations in question are "sufficiently weak", an assumption that is not always…

神经元与认知 · 定量生物学 2012-01-19 Kevin K. Lin , Kyle C. A. Wedgwood , Stephen Coombes , Lai-Sang Young

Phase resetting is a common experimental approach to investigating the behaviour of oscillating neurons. Assuming repeated spiking or bursting, a phase reset amounts to a brief perturbation that causes a shift in the phase of this periodic…

动力系统 · 数学 2020-03-17 Peter Langfield , Bernd Krauskopf , Hinke M. Osinga
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