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In the past decades, experimental evidence of computationally relevant neuron-astrocyte interactions, as well as the astrocytic modulation of global neural dynamics, have accumulated. These findings motivated advances in computational glioscience and inspired several models integrating mechanisms of neuron-astrocyte interactions into the standard neural network formalism. These models were developed to study, for example, synchronization, information transfer, synaptic plasticity, and hyperexcitability, as well as classification tasks and hardware implementations. We here focus on network models of at least two neurons interacting bidirectionally with at least two astrocytes that include explicitly modeled astrocytic calcium dynamics. In this study, we analyze the evolution of these models and the biophysical, biochemical, cellular, and network mechanisms used to construct them. Based on our analysis, we propose how to systematically describe and categorize interaction schemes between cells in neuron-astrocyte networks. We additionally study the models in view of the existing experimental data and present future perspectives. Our analysis is an important first step towards understanding astrocytic contribution to brain functions. However, more advances are needed to collect comprehensive data about astrocyte morphology and physiology in vivo and to better integrate them in data-driven computational models. Broadening the discussion about theoretical approaches and expanding the computational tools is necessary to better understand astrocytes\u2019 roles in brain functions.<\/jats:p>","DOI":"10.1007\/s12021-023-09622-w","type":"journal-article","created":{"date-parts":[[2023,3,23]],"date-time":"2023-03-23T19:02:34Z","timestamp":1679598154000},"page":"375-406","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Analysis of Network Models with Neuron-Astrocyte Interactions"],"prefix":"10.1007","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0456-1185","authenticated-orcid":false,"given":"Tiina","family":"Manninen","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5216-681X","authenticated-orcid":false,"given":"Jugoslava","family":"A\u0107imovi\u0107","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2577-7329","authenticated-orcid":false,"given":"Marja-Leena","family":"Linne","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,3,23]]},"reference":[{"issue":"5","key":"9622_CR1","doi-asserted-by":"publisher","first-page":"7951","DOI":"10.30534\/ijatcse\/2020\/149952020","volume":"9","author":"B Abed","year":"2020","unstructured":"Abed, B., Ayyoub, B., Ismail, A. 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