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- Tilo Schwalger, Karin Fisch, Jan Benda, Benjamin Lindner
- PLoS Computational Biology
- 2010

Channel noise is the dominant intrinsic noise source of neurons causing variability in the timing of action potentials and interspike intervals (ISI). Slow adaptation currents are observed in many cells and strongly shape response properties of neurons. These currents are mediated by finite populations of ionic channels and may thus carry a substantial… (More)

- Tilo Schwalger, Lutz Schimansky-Geier
- Physical review. E, Statistical, nonlinear, and…
- 2008

We analytically investigate the interspike interval (ISI) density, the Fano factor, and the coefficient of variation of a leaky integrate-and-fire neuron model driven by exponentially correlated Gaussian noise with a large correlation time tau . We find a burstinglike behavior of the spike train, which is revealed by a dominant peak of the ISI density at… (More)

- Karin Fisch, Tilo Schwalger, Benjamin Lindner, Andreas V. M. Herz, Jan Benda
- The Journal of neuroscience : the official…
- 2012

Spike-timing variability has a large effect on neural information processing. However, for many systems little is known about the noise sources causing the spike-response variability. Here we investigate potential sources of spike-response variability in auditory receptor neurons of locusts, a classic insect model system. At low-spike frequencies, our data… (More)

- Moritz Deger, Tilo Schwalger, Richard Naud, Wulfram Gerstner
- Physical review. E, Statistical, nonlinear, and…
- 2014

Finite-sized populations of spiking elements are fundamental to brain function but also are used in many areas of physics. Here we present a theory of the dynamics of finite-sized populations of spiking units, based on a quasirenewal description of neurons with adaptation. We derive an integral equation with colored noise that governs the stochastic… (More)

- Tilo Schwalger, Felix Droste, Benjamin Lindner
- Journal of Computational Neuroscience
- 2015

Nerve cells in the brain generate sequences of action potentials with a complex statistics. Theoretical attempts to understand this statistics were largely limited to the case of a temporally uncorrelated input (Poissonian shot noise) from the neurons in the surrounding network. However, the stimulation from thousands of other neurons has various sorts of… (More)

The spontaneous activity of a neuron as well as its response to constant stimuli is often characterized by irregular and irreproducible spike trains. This variability is due to various sources of neuronal noise. Many statistical features of these spike trains such as the variability of interspike intervals (ISIs) and spike counts have been theoretically… (More)

- Tilo Schwalger, Benjamin Lindner
- Front. Comput. Neurosci.
- 2013

Neural firing is often subject to negative feedback by adaptation currents. These currents can induce strong correlations among the time intervals between spikes. Here we study analytically the interval correlations of a broad class of noisy neural oscillators with spike-triggered adaptation of arbitrary strength and time scale. Our weak-noise theory… (More)

- Tilo Schwalger, Moritz Deger, Wulfram Gerstner
- PLoS computational biology
- 2017

Neural population equations such as neural mass or field models are widely used to study brain activity on a large scale. However, the relation of these models to the properties of single neurons is unclear. Here we derive an equation for several interacting populations at the mesoscopic scale starting from a microscopic model of randomly connected… (More)

- Felix Droste, Tilo Schwalger, Benjamin Lindner
- Front. Comput. Neurosci.
- 2013

Signals from different sensory modalities may converge on a single neuron. We study theoretically a setup in which one signal is transmitted via facilitating synapses (F signal) and another via depressing synapses (D signal). When both signals are present, the postsynaptic cell preferentially encodes information about slow components of the F signal and… (More)

Neural firing is often subject to negative feedback by adaptation currents. These currents can induce strong correlations among the time intervals between spikes. Here we study analytically the interval correlations of a broad class of noisy neural oscillators with spike-triggered adaptation of arbitrary strength and time scale. Our weak-noise theory… (More)