Figure 1.

A schematic of the model dynamics capturing the interaction between spontaneous and stimulation-evoked neural activity in the targeted brain region. A biphasic stimulation pulse train, where each pulse is represented by a negative followed by a positive pulse, which after saturation is reduced to just the negative square pulse train. The saturated pulse train is responsible for evoking stimulation based oscillations, the dynamics of which can be mapped to a Toeplitz matrix ($T_{\mathrm{e}}$). The final model is the summation of the matrix multiplication of the $T_{\mathrm{e}}$ with the optimization variable vector ($\overrightarrow{x}$) and the vector containing the spontaneous oscillations ($B_{\mathrm{s}}$).