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Multiple initial conditions are used for panels (d).
Various working scenarios with multiple initial conditions are used to test the robustness and the system performance.
Multiple initial conditions are used for panels (d) (1c) For (tau=0.6in tau^, tau^)), the positive equilibrium of system (1.2) is unstable and there is a Hopf bifurcation when (tau=tau^) (see Fig. 2(c)).
Multiple initial conditions are used for panels (d) (3c) For (tau=2.65in tau^, tau_{mathrm{max}})), the positive equilibrium of system (1.2) is stable and there is a Hopf bifurcation when (tau=tau^) (see Fig. 4(d)). .
Multi RSA allows performing a high number of RSA with multiple initial conditions on the same regulatory network.
This was to ensure that starting frequencies covered multiple initial conditions, enabling us to critically assess theoretical outcomes empirically over a broad range of starting assumptions.
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In many instances, multiple (L) time series may be available, either because of multiple related initial conditions or due to biological and/or technical replicates.
Multiple simulations with different initial conditions are performed with customized MATLAB codes.
Confirmation of the optimal smoothing values was obtained via multiple optimizations with different initial conditions (by setting num_restarts = num_time_guesses = 3).
In general, the dynamics of a regulatory network depends on multiple factors such as initial conditions, cellular environments, and randomness [ 34, 35].
We performed the MULTIDIVTIME analysis multiple times from different initial conditions to confirm convergence of the Markov chain on highly similar resulting time estimates and posterior intervals.
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