{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,9]],"date-time":"2023-09-09T19:24:28Z","timestamp":1694287468601},"reference-count":39,"publisher":"MIT Press - Journals","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Computation"],"published-print":{"date-parts":[[2008,11]]},"abstract":"<jats:p> We provide analytical solutions for mean firing rates and cross-correlations of coincidence detector neurons in recurrent networks with excitatory or inhibitory connectivity, with rate-modulated steady-state spiking inputs. We use discrete-time finite-state Markov chains to represent network state transition probabilities, which are subsequently used to derive exact analytical solutions for mean firing rates and cross-correlations. As illustrated in several examples, the method can be used for modeling cortical microcircuits and clarifying single-neuron and population coding mechanisms. We also demonstrate that increasing firing rates do not necessarily translate into increasing cross-correlations, though our results do support the contention that firing rates and cross-correlations are likely to be coupled. Our analytical solutions underscore the complexity of the relationship between firing rates and cross-correlations. <\/jats:p>","DOI":"10.1162\/neco.2008.07-07-570","type":"journal-article","created":{"date-parts":[[2008,4,25]],"date-time":"2008-04-25T23:29:58Z","timestamp":1209166198000},"page":"2637-2661","source":"Crossref","is-referenced-by-count":4,"title":["Exact Solutions for Rate and Synchrony in Recurrent Networks of Coincidence Detectors"],"prefix":"10.1162","volume":"20","author":[{"given":"Shawn","family":"Mikula","sequence":"first","affiliation":[{"name":"Center for Neuroscience, University of California, Davis, CA 95618, U.S.A."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ernst","family":"Niebur","sequence":"additional","affiliation":[{"name":"Krieger Mind\/Brain Institute, Johns Hopkins University, Baltimore, MD 21218, 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