Fluctuation-dissipation relations for spiking neurons

Abstract

Spontaneous fluctuations and stimulus response are essential features of neural functioning but how they are connected is poorly understood. I derive fluctuation-dissipation relations (FDR) between the spontaneous spike and voltage correlations and the firing rate susceptibility for i) the leaky integrate-and-fire (IF) model with white noise; ii) an IF model with arbitrary voltage dependence, an adaptation current, and correlated noise. The FDRs can be used to derive correlation statistics or to infer the system's response from observations of its spontaneous activity.

References in corpus (4)

• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Experimental verification of a modified fluctuation-dissipation relation for a micron-sized particle in a non-equilibrium steady state
• Fluctuation-response theorem for the active noisy oscillator of the hair-cell bundle
• Exact results for power spectrum and susceptibility of a leaky integrate-and-fire neuron with two-state noise

Cited by in corpus (6)

• Does the brain behave like a (complex) network? I. Dynamics
• A Universal Description of Stochastic Oscillators
• Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation
• Introduction to dynamical mean-field theory of randomly connected neural networks with bidirectionally correlated couplings
• Fluctuation-Dissipation Relations in the imbalanced Wilson-Cowan model
• The fluctuation-dissipation relation holds for a macroscopic tracer in an active bath