Augustin, Moritz ; Ladenbauer, Josef ; Baumann, Fabian ; Obermayer, Klaus (2017)
The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic collective dynamics that can be effectively characterized using the Fokker-Planck equation. This approach, however, leads to a model with an infinite-dimens...How adaptation currents change threshold, gain, and variability of neuronal spiking
Ladenbauer, Josef ; Augustin, Moritz ; Obermayer, Klaus (2014)
Many types of neurons exhibit spike rate adaptation, mediated by intrinsic slow K+ currents, which effectively inhibit neuronal responses. How these adaptation currents change the relationship between in vivo like fluctuating synaptic input, spike rate output, and the spike train statistics, however, is not well understood. In this computational study we show that an adaptation current that pri...How adaptation shapes spike rate oscillations in recurrent neuronal networks
Augustin, Moritz ; Ladenbauer, Josef ; Obermayer, Klaus (2013)
Neural mass signals from in-vivo recordings often show oscillations with frequencies ranging from <1 to 100 Hz. Fast rhythmic activity in the beta and gamma range can be generated by network-based mechanisms such as recurrent synaptic excitation-inhibition loops. Slower oscillations might instead depend on neuronal adaptation currents whose timescales range from tens of milliseconds to seconds....