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Fig. 9 | The Journal of Mathematical Neuroscience

Fig. 9

From: Data Assimilation Methods for Neuronal State and Parameter Estimation

Fig. 9

(A) UKF results from runs of the t:SNIC/g:HOPF twin experiment for various parameter combinations of λ and \(\alpha _{I}\). The color scale represents the root mean squared error of the final parameter values at \(T=200\text{,}001\) from the parameters of the SNIC bifurcation regime. Gray indicates the filter failed outright before reaching the end of the estimation window. (B) Parameter estimates over time for the run with \(\lambda=5, \alpha_{I}=0.1\). The parameters (especially ϕ and \(V_{3}\)) approach their true values more quickly than corresponding runs with smaller initial covariances; see column 1 of Fig. 6 for parameter estimates with \(\lambda=5, \alpha_{I}=0.001\). C: Same as (A), but with a modification to the numerical integration scheme that restricts the gating variable n to remain within its biophysical range of 0 to 1

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