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:20260404T094122Z UID:NeuroMath/1 DESCRIPTION:Title: Mean-field models for finite-size populations of spiking neurons< /a>\nby Dr. Tilo Schwalger (TU Berlin) as part of NeuroMath Seminar Series \n\n\nAbstract\nFiring-rate (FR) or neural-mass models are widely used for studying computations performed by neural populations. Despite their succ ess\, classical firing-rate models do not capture spike timing effects on the microscopic level such as spike synchronization and are difficult to l ink to spiking data in experimental recordings. For large neuronal populat ions\, the gap between the spiking neuron dynamics on the microscopic leve l and coarse-grained FR models on the population level can be bridged by m ean-field theory formally valid for infinitely many neurons. It remains ho wever challenging to extend the resulting mean-field models to finite-size populations with biologically realistic neuron numbers per cell type (mes oscopic scale). In this talk\, I present a mathematical framework for meso scopic populations of generalized integrate-and-fire neuron models that ac counts for fluctuations caused by the finite number of neurons. To this en d\, I will introduce the refractory density method for quasi-renewal proce sses and show how this method can be generalized to finite-size population s. To demonstrate the flexibility of this approach\, I will show how synap tic short-term plasticity can be incorporated in the mesoscopic mean-field framework. On the other hand\, the framework permits a systematic reducti on to low-dimensional FR equations using the eigenfunction method. Our mod eling framework enables a re-examination of classical FR models in computa tional neuroscience under biophysically more realistic conditions\n LOCATION:https://stable.researchseminars.org/talk/NeuroMath/1/ END:VEVENT END:VCALENDAR