Elucidation of molecular kinetic schemes from macroscopic traces using system identification
Fig 6
Effect of noise on kinetic parameters and probability of error in classification.
(A) Representative traces of output signal y(t) used to test the effects of noise. Traces were generated with the Synthetic Trace Module (see Results section) combining two first-order processes with parameters ka = - 5, kb = 3, τa = 5 ms and τb = 100 ms in parallel with different levels of white Gaussian noise added. (B) Relative error in transition-rate kinetic parameters (σ1, σ2, and σ3) and probability of error in detection for parallel and feedback configurations. Each point in the graph depicts the mean and standard deviation of 100 simulations. Boundary conditions used in the Classifier Module are τa ∈ [1, 9] ms, τb ∈ [50, 250] ms, ka ∈ [−20, 20], and kb ∈ [−20, 20] for the parallel problem, and kb ∈ [0, 20] for the feedback problem since combinations in feedback with kb < 0 are unstable.