By Simona Olmi (Sesto Fiorentino, Italy).
I will first give a brief overview of the next generation neural mass models, which represent a complete new perspective for the development of exact mean field models of heterogeneous spiking networks . Then I will report recent results on the application of this formalism to reproduce relevant phenomena observed in neuroscience ranging from cross-frequency coupling  to theta-nested gamma oscillations . I will finally show how these neural masses can be extended to mimic several operations associated with synaptic-based working memory  and to organize neural coding for multi-item messages when introducing spike-frequency adaptation .
 E.Montbrió, D.Pazó, A.Roxin. “Macroscopic description for networks of spiking neurons.” Physical Review X 5.2 (2015): 021028; S. Coombes, Á. Byrne. “Next generation neural mass models.” In Nonlinear dynamics in computational neuroscience, pp. 1-16. Springer, Cham (2019).
 A.Ceni, S. Olmi, A. Torcini, D. Angulo Garcia, “Cross frequency coupling in next generation inhibitory neural mass models”, Chaos ,30, 053121 (2020)
 M. Segneri, H.Bi, S. Olmi, A.Torcini, “Theta-nested gamma oscillations in next generation neural mass models”, Frontiers in Computational Neuroscience , 14:47 (2020)
 H. Taher, A. Torcini, S. Olmi, “Exact neural mass model for synaptic-based working memory”, PLOS Computational Biology , 16(12):e1008533 (2020)
 A. Ferrara, D. Angulo-Garcia, S. Olmi, A. Torcini, “Population spiking and bursting in coupled next generation neural masses with spike-frequency adaptation”, in preparation.