“…However, it has been shown that the concentration of certain chemical species, such as Ca 2+ , can vary drastically in different parts of the cell (see e.g., Thul, 2014 ; Dupont et al, 2016 ), and several models took into account the spatiality by modeling diffusion of at least some of the chemical species in astrocytes using partial differential equations (PDEs, see e.g., Roth et al, 1995 ; Höfer et al, 2002 ; Bennett et al, 2008a ; Gibson et al, 2008 ; Allegrini et al, 2009 ; Kang and Othmer, 2009 ; Edwards and Gibson, 2010 ; Wei and Shuai, 2011 ; Li et al, 2012 ; López-Caamal et al, 2014 ; Mesiti et al, 2015a ; Yao et al, 2018 ). Some models took a simpler approach to spatiality by modeling ODEs combined with fluxes between different astrocytic compartments, such as cytosol and ER (see e.g., Larter and Craig, 2005 ; Di Garbo et al, 2007 ; Postnov et al, 2007 ; Lavrentovich and Hemkin, 2008 ; Di Garbo, 2009 ; Zeng et al, 2009 ; Amiri et al, 2011a ; DiNuzzo et al, 2011 ; Farr and David, 2011 ; Oschmann et al, 2017 ; Kenny et al, 2018 ). In addition of modeling Ca 2+ fluxes between ER and cytosol, Silchenko and Tass ( 2008 ) modeled free diffusion of extracellular glutamate as a flux.…”