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. 2013 Dec 19;9(12):e1003386. doi: 10.1371/journal.pcbi.1003386

Figure 4. Dynamics and steady state profiles for the astrocyte/ECS-system.

Figure 4

(A–D) Dynamics of selected variables in a point (Inline graphic) in the input zone. (E–H) Spatial profiles of selected variables at a time Inline graphic, when the system was in steady state. The constant cation-exchange input was applied to the ECS of the input (Inline graphic) zone from Inline graphic to Inline graphic. (A) The input and output flux densities of K+ to the point Inline graphic. We recall that the Na+ input/output (not shown) was the opposite of that of K+: Inline graphic and Inline graphic. (B,D) During the input, ion concentrations in the ECS and ICS changed, but reached steady state after about 10–50 s after stimulus onset. (B) Inline graphic (at Inline graphic) had then increased by about 7.7 mM with respect to the baseline value. (C) Inline graphic had increased by about 12.5 mM due to uptake by the astrocyte. (D) The astrocytic membrane potential had been depolarized to about −59 mV at Inline graphic. The impact of the input was smaller outside the input zone. (F–H) Deviations from the baseline ionic concentrations and Inline graphic typically decreased with Inline graphic. Far away from the input zone (Inline graphic), the conditions were close to the baseline conditions. (B–C, F–G) Ionic concentrations were represented in terms of deviations from resting concentrations: Inline graphic for Inline graphic. For direct comparison with ion concentrations, the charge density was represented as an equivalent concentration of unit charges Inline graphic.