. 2018 May 1;12:20. doi: 10.3389/fninf.2018.00020

Table 3.

Summary of the astrocyte and neuron-astrocyte models.

Model	Neuron model	Neuron-astrocyte synapse model	Intracellular signaling in neuron	Intracellular signaling in astrocyte
Nadkarni and Jung, 2003	Postsyn.: HH (Kdr, Na)	Postsyn. voltage ↦ astro IP₃,astro Ca²⁺ ↦ postsyn. current	No	Ca²⁺ (CICR via IP₃R, Ca²⁺ leak from ER into cyt, SERCA), IP₃, active fraction of IP₃R
Di Garbo et al., 2007	No	Astro: P2XR, P2YR	No	Ca²⁺ (CCE, CICR via IP₃R, Ca²⁺ efflux, Ca²⁺ leak from ER into cyt, Ca²⁺ leak from ext into cyt, SERCA), ${Ca}_{ER}^{2 +}$ , IP₃, active fraction of IP₃R
Silchenko and Tass, 2008	Postsyn.: Pinsky-Rinzel,HH (AHP, Kdr, L-type VGCC, Na)	Postsyn.: AMPAR, NMDAR, astro: mGluR	Ca²⁺	Ca²⁺ (CICR via IP₃R, Ca²⁺ efflux, glutamate-dependent Ca²⁺ influx, Ca²⁺ influx, Ca²⁺ leak from ER into cyt, SERCA), ${Ca}_{ER}^{2 +}$ , IP₃, vesicle cycle, glutamate release
Lavrentovich and Hemkin, 2008	No	No	No	Ca²⁺ (CICR via IP₃R, Ca²⁺ efflux, Ca²⁺ influx, Ca²⁺ leak from ER into cyt, SERCA), ${Ca}_{ER}^{2 +}$ , IP₃
De Pittà et al., 2009	No	No	No	Ca²⁺ (CICR via IP₃R, Ca²⁺ leak from ER into cyt, SERCA), IP₃, active fraction of IP₃R
Riera et al., 2011a,b	No	No	No	Ca²⁺ (CCE, CICR via IP₃R, Ca²⁺ efflux, Ca²⁺ influx via channels, Ca²⁺ leak from ER into cyt, SERCA), ${Ca}_{free}^{2 +}$ , IP₃, active fraction of IP₃R
Dupont et al., 2011	No	Astro: mGluR	No	Ca²⁺ (CICR via IP₃R, Ca²⁺ efflux, Ca²⁺ influx, Ca²⁺ leak from ER into cyt, SERCA), DAG, IP₃, fraction of Ca²⁺-inhibited IP₃R, active fraction of PKC
Wade et al., 2011	Postsyn.: LIF	Tsodyks ↦ astro IP₃ and syn. current, astro Ca²⁺ ↦ postsyn. NMDAR,astro glutamate ↦ Tsodyks	No	Ca²⁺ (CICR via IP₃R, Ca²⁺ leak from ER into cyt, SERCA), IP₃, active fraction of IP₃R, glutamate release
Wade et al., 2012	Postsyn.: LIF	Postsyn. 2-AG ↦ astro IP₃, astro glutamate ↦ syn. current	Postsyn.: 2-AG, depression, potentiation	Ca²⁺ (CICR via IP₃R, Ca²⁺ leak from ER into cyt, SERCA), IP₃, active fraction of IP₃R, glutamate release

Neuron model: postsynaptic multicompartmental and point neuron models. Neuron-astrocyte synapse model: Tsodyks-Pawelzik-Markram model; postsynaptic and astrocytic receptors. Intracellular signaling in neuron: intracellular chemical species in postsynaptic neuron. Intracellular signaling in astrocyte: intracellular calcium signaling (e.g., leaks, pumps, and receptors that are not named under other categories) in addition to different intracellular chemical species in astrocyte. We only implemented the astrocyte component of the model by Di Garbo et al. (2007), and not the neuron component at all. 2-AG, 2-arachidonoylglycerol; AHP, after-hyperpolarization current; AMPAR, α-amino-3-hydroxy-5-methyl-4-isoxazolepropionic acid receptor; ATP, adenosine triphosphate; Ca²⁺, calcium ion; CCE, capacitive Ca²⁺ entry; CICR, Ca²⁺-induced Ca²⁺ release; cyt, cytosol; DAG, diacylglycerol; ER, endoplasmic reticulum; ext, extracellular space; HH, Hodgkin-Huxley; IP₃, inositol trisphosphate; IP₃R, IP₃ receptor; Kdr, delayed rectifier potassium current; LIF, leaky integrate-and-fire; mGluR, metabotropic glutamate receptor; Na, sodium current; NMDAR, N-methyl-D-aspartate receptor; P2XR, ionotropic purinergic ATP receptor; P2YR, purinergic G-protein-coupled metabotropic receptor; PKC, protein kinase C; SERCA, sarco/ER Ca²⁺-ATPase; VGCC, voltage-gated Ca²⁺ channel.