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Low-dimensional firing rate dynamics of spiking neuron networks. arXiv preprint. 2016;arXiv:160908855."},{"key":"ref56","doi-asserted-by":"crossref","first-page":"e1005507","DOI":"10.1371\/journal.pcbi.1005507","article-title":"Towards a theory of cortical columns: from spiking neurons to interacting neural populations of finite size","volume":"13","author":"T Schwalger","year":"2017","journal-title":"PLOS Comput Biol"},{"key":"ref57","doi-asserted-by":"crossref","first-page":"e1005545","DOI":"10.1371\/journal.pcbi.1005545","article-title":"Low-dimensional spike rate models derived from networks of adaptive integrate-and-fire neurons: comparison and implementation","volume":"13","author":"M Augustin","year":"2017","journal-title":"PLOS Comput Biol"},{"key":"ref58","doi-asserted-by":"crossref","first-page":"041924","DOI":"10.1103\/PhysRevE.65.041924","article-title":"Dynamics of large-scale brain activity in normal arousal states and epileptic seizures","volume":"65","author":"PA Robinson","year":"2002","journal-title":"Phys Rev E"},{"key":"ref59","unstructured":"Eusebius J. Doedel, Alan R. Champneys, Fabio Dercole, et al. 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