Benjamin Lindner
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View article: Probing the limits of effective temperature consistency in actively driven systems
Probing the limits of effective temperature consistency in actively driven systems Open
We experimentally probe whether a consistent effective temperature can characterize the nonequilibrium steady state of a passive tracer driven by a fully athermal active environment.
View article: Metastability in the mixing/demixing of two species with reciprocally concentration-dependent diffusivity
Metastability in the mixing/demixing of two species with reciprocally concentration-dependent diffusivity Open
It has been shown before that two species of diffusing particles can separate from each other by the mechanism of reciprocally concentration-dependent diffusivity: the presence of one species amplifies the diffusion coefficient of the resp…
Fluctuation-response relations and response-response relations for membrane voltage and spike train of stochastic integrate-and-fire neurons Open
Neurons display spontaneous spiking (in the absence of stimulus signals) as well as a characteristic response to time-dependent external stimuli. In a simple but important class of stochastic neuron models, the integrate-and-fire model wit…
Stochastic synaptic dynamics under learning Open
Learning is based on synaptic plasticity, which affects and is driven by neural activity. Because pre- and postsynaptic spiking activity is shaped by randomness, the synaptic weights follow a stochastic process, requiring a probabilistic f…
Effects of inertia on the asynchronous state of a disordered Kuramoto model Open
We investigate the role of inertia in the asynchronous state of a disordered Kuramoto model. We extend an iterative simulation scheme to the case of the Kuramoto model with inertia in order to determine the self-consistent fluctuation stat…
<i>Q</i>-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Open
Phase reduction is an effective theoretical and numerical tool for studying the synchronization of coupled deterministic oscillators. Stochastic oscillators require new definitions of the asymptotic phase. The Q-function, i.e., the slowest…
Stabilizing role of multiplicative noise in nonconfining potentials Open
We provide a simple framework for the study of parametric (multiplicative) noise, making use of scale parameters. We focus on a large class of one-dimensional stochastic differential equations in which the deterministic drift pushes trajec…
Extraction of parameters of a stochastic integrate-and-fire model with adaptation from voltage recordings Open
Integrate-and-fire models are an important class of phenomenological neuronal models that are frequently used in computational studies of single neural activity, population activity, and recurrent neural networks. If these models are used …
Effect of burst spikes on linear and nonlinear signal transmission in spiking neurons Open
We study the impact of bursts on spike statistics and neural signal transmission. We propose a stochastic burst algorithm that is applied to a burst-free spike train and adds a random number of temporally-jittered burst spikes to each spik…
The stabilizing role of multiplicative noise in non-confining potentials Open
We provide a simple framework for the study of parametric (multiplicative) noise, making use of scale parameters. We show that for a large class of stochastic differential equations increasing the multiplicative noise intensity surprisingl…
Furutsu-Novikov–like Cross-Correlation–Response Relations for Systems Driven by Shot Noise Open
We consider a dynamic system that is driven by an intensity-modulated Poisson process with intensity Λ(t)=λ(t)+ϵν(t). We derive an exact relation between the input-output cross-correlation in the spontaneous state (ϵ=0) and the linear resp…
Self-consistent autocorrelation of a disordered Kuramoto model in the asynchronous state Open
The Kuramoto model has provided deep insights into synchronization phenomena and remains an important paradigm to study the dynamics of coupled oscillators. Yet, despite its success, the asynchronous regime in the Kuramoto model has receiv…
Effect of burst spikes on linear and nonlinear signal transmission in spiking neurons Open
We study the impact of bursts on spike statistics and neural signal transmission.We propose a stochastic burst algorithm that is applied to a burst-free spike train and adds a random number of temporally-jittered burst spikes to each spike…
Spike generation in electroreceptor afferents introduces additional spectral response components by weakly nonlinear interactions Open
Spiking thresholds in neurons or rectification at synapses are essential for neuronal computations rendering neuronal processing inherently nonlinear. Nevertheless, linear response theory has been instrumental for understanding, for exampl…
Bursts boost nonlinear encoding in electroreceptor afferents Open
Nonlinear mechanisms are at the heart of neuronal information processing, for example to fire an action potential, the membrane voltage must exceed a threshold nonlinearity. Even though, linear encoding schemes are commonly used and often …
Furutsu-Novikov--like cross-correlation--response relations for systems driven by shot noise Open
We consider a dynamic system that is driven by an intensity-modulated Poisson process with intensity $Λ(t)=λ(t)+\varepsilonν(t)$. We derive an exact relation between the input-output cross-correlation in the spontaneous state ($\varepsilon…
Extraction of parameters of a stochastic integrate-and-fire model with adaptation from voltage recordings Open
Integrate-and-fire models are an important class of phenomenological neuronal models that are frequently used in computational studies of single neural activity, population activity, and recurrent neural networks. If these models are used …
Phase-Amplitude Description of Stochastic Oscillators: A Parameterization Method Approach Open
The parameterization method (PM) provides a broad theoretical and numerical foundation for computing invariant manifolds of dynamical systems. PM implements a change of variables in order to represent trajectories of a system of ordinary d…
Self-consistent autocorrelation of a disordered Kuramoto model in the asynchronous state Open
The Kuramoto model has provided deep insights into synchronization phenomena and remains an important paradigm to study the dynamics of coupled oscillators. Yet, despite its success, the asynchronous regime in the Kuramoto model has receiv…
Intra-ripple frequency accommodation in an inhibitory network model for hippocampal ripple oscillations Open
Hippocampal ripple oscillations have been implicated in important cognitive functions such as memory consolidation and planning. Multiple computational models have been proposed to explain the emergence of ripple oscillations, relying eith…
The noise intensity of a Markov chain Open
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 sto…
Generalized dynamical phase reduction for stochastic oscillators Open
Phase reduction is an important tool for studying coupled and driven oscillators. The question of how to generalize phase reduction to stochastic oscillators remains actively debated. In this work, we propose a method to derive a self-cont…
Fluctuation–response relations for integrate-and-fire models with an absolute refractory period Open
We study the problem of relating the spontaneous fluctuations of a stochastic integrate-and-fire (IF) model to the response of the instantaneous firing rate to time-dependent stimulation if the IF model is endowed with a non-vanishing refr…
View article: The fluctuation-dissipation relation holds for a macroscopic tracer in an active bath
The fluctuation-dissipation relation holds for a macroscopic tracer in an active bath Open
The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit …
View article: The fluctuation–dissipation relation holds for a macroscopic tracer in an active bath
The fluctuation–dissipation relation holds for a macroscopic tracer in an active bath Open
We experimentally determine the conditions under which a fluctuation-dissipation relation holds for a tracer particle in an active bath of self-propelled walkers, yielding an effective temperature that coincides with the particle’s potenti…
An integrate-and-fire approach to Ca2+ signaling. Part II: Cumulative refractoriness Open
Inositol 1,4,5-trisphosphate-induced Ca2+ signaling is a second messenger system used by almost all eukaryotic cells. The agonist concentration stimulating Ca2+ signals is encoded in the frequency of a Ca2+ concentration spike sequence. Wh…
Fluctuation-response relations for integrate-and-fire models with an absolute refractory period Open
We study the problem of relating the spontaneous fluctuations of a stochastic inte\-grate-and-fire (IF) model to the response of the instantaneous firing rate to time-dependent stimulation if the IF model is endowed with a non-vanishing re…
Detecting a periodic signal by a population of spiking neurons in the weakly nonlinear response regime Open
Motivated by experimental observations, we investigate a variant of the cocktail party problem: the detection of a weak periodic stimulus in the presence of fluctuations and another periodic stimulus which is stronger than the periodic sig…