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Fig. 8 | The Journal of Mathematical Neuroscience

Fig. 8

From: A Theoretical Study on the Role of Astrocytic Activity in Neuronal Hyperexcitability by a Novel Neuron-Glia Mass Model

Fig. 8

Alteration of astrocytic glutamate uptake: (a) lessening the excitability, (b) resulting in sustained hyperexcitability, (c) resulting in transient hyperexcitability. In each case, the colormap on the left displays the value of \(p_{{\mathrm{SNIC}}}\) in \((v_{1},v_{2})\) plane, and the time series on the right correspond to LFP, \({[\mathrm{GABA}]_{\mathrm{e}}}\), \({[\mathrm{Glu}]_{\mathrm{e}}}\) and \(v_{1}=m_{G}^{I} {\mathcal{S}} ({[\mathrm{Glu}]_{\mathrm{e}}}, v_{G}, r_{G})\). The black curves on the colormap are the trace of (\(m_{G}^{I} {\mathcal{S}}({[\mathrm{Glu}]_{\mathrm{e}}}, v_{G}, r_{G})\), \(m_{\gamma } {\mathcal{S}}({[\mathrm{GABA}]_{\mathrm{e}}}, v_{\gamma}, r_{\gamma})\)) along the associated orbits of the model. At \(t=20~\mbox{s}\), we alter the glutamate astrocytic uptake by setting \(V_{G}^{{\mathrm{ae}}}=0\). The three cases are obtained with: (a) \(\frac{m_{G}^{P}}{m_{G}^{I}}=1.7\), (b) \(\frac {m_{G}^{P}}{m_{G}^{I}}=3.2\), (c) \(\frac{m_{G}^{P}}{m_{G}^{I}}=2.43\). All other parameters are the same in the three cases and given in Table 1

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