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. 2022 May 27;16:835657. doi: 10.3389/fninf.2022.835657

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Copyright © 2022 Layer, Senk, Essink, van Meegen, Bos and Helias.

This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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Linear stability analysis of spatially structured network model. (A) Analytically exact solution for real (top) and imaginary (bottom) part of eigenvalue λ vs. wavenumber k using rate model derived by fit of spiking model at working point (μ, σ) = (10, 10) mV. Color-coded branches of Lambert W_B function; maximum real eigenvalue (star marker) on principal branch (B = 0). (B) Linear interpolation between rate (α = 0) and spiking model (α = 1) by numerical integration of Senk et al. (2020, Equation 30) (solid line) and by numerically solving the characteristic equation in Senk et al. (2020, Equation 29) (circular markers). Star markers at same data points as in (A). Similar displays as in Senk et al. (2020, Figure 6).