Astrocytes have a pivotal role in overseeing extracellular ion concentrations and synaptic neurotransmitters, profoundly influencing neuronal excitability, synaptic transmission, and behavior. Their intricate interactions with the vascular system and diverse calcium signaling mechanisms further amplify their impact on brain functions. Our prior work has involved exploring spike-timing-dependent plasticity using a synapse model with astrocyte contributions (Manninen et al., 2020). Additionally, we have studied in detail existing astrocyte models tailored for various brain areas and functions (Manninen et al., 2018, 2023; Linne et al., 2022). In our recent study, we extended our work to cover astrocyte influences at neuronal networks and brain circuits, by examining altogether 32 neuron-astrocyte network models (Manninen et al., 2023). The emphasis of the study was on models incorporating various biophysically and biochemically relevant calcium sources. In the current study, we thoroughly analyze and categorize all these mechanisms at play in these models and how they have been derived from the astrocytic literature and data. In conclusion, the insights gained from our analysis of network models have been instrumental in shaping and developing tools and models for deeper understanding of astrocyte functions in brain circuits. Acknowledgments: This study was funded by the Research Council of Finland (Nos. 297893, 318879, 326494, 326495, 345280, and 355256) and European Union’s Horizon 2020 Framework Programme (Human Brain Project, 720270, 785907, 945539, and Partnering Project AstroNeuronNets). JA is currently AstraZeneca employee, but here presented research was conducted during her previous employment at Tampere University and is unrelated to her current employment.