BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dr. Tilo Schwalger (TU Berlin) DTSTART:20200608T070000Z DTEND:20200608T080000Z DTSTAMP:20260423T021044Z UID:NeuroMath/1 DESCRIPTION:Title: Mean-field models for finite-size populations of spiking neurons\nby Dr. Tilo Schwalger (TU Berlin) as part of NeuroMath Seminar Series\n\n\nA bstract\nFiring-rate (FR) or neural-mass models are widely used for studyi ng computations performed by neural populations. Despite their success\, c lassical firing-rate models do not capture spike timing effects on the mic roscopic level such as spike synchronization and are difficult to link to spiking data in experimental recordings. For large neuronal populations\, the gap between the spiking neuron dynamics on the microscopic level and c oarse-grained FR models on the population level can be bridged by mean-fie ld theory formally valid for infinitely many neurons. It remains however c hallenging to extend the resulting mean-field models to finite-size popula tions with biologically realistic neuron numbers per cell type (mesoscopic scale). In this talk\, I present a mathematical framework for mesoscopic populations of generalized integrate-and-fire neuron models that accounts for fluctuations caused by the finite number of neurons. To this end\, I w ill introduce the refractory density method for quasi-renewal processes an d show how this method can be generalized to finite-size populations. To d emonstrate the flexibility of this approach\, I will show how synaptic sho rt-term plasticity can be incorporated in the mesoscopic mean-field framew ork. On the other hand\, the framework permits a systematic reduction to l ow-dimensional FR equations using the eigenfunction method. Our modeling f ramework enables a re-examination of classical FR models in computational neuroscience under biophysically more realistic conditions\n LOCATION:https://researchseminars.org/talk/NeuroMath/1/ END:VEVENT END:VCALENDAR