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Estimating information in time-varying signals

Fig 3

Information about inputs encoded by complete response trajectories of the example biochemical reaction networks.

Exact Monte Carlo approximation for the information, , is shown for Example 1 (A), Example 2 (B), and Example 3 (C) from Fig 2 in dashed dark gray line; error bars are standard deviations across 20 replicate estimations, each computed over N = 1000 independently generated sample trajectories per input condition. Information is plotted as a function of the trajectory duration, T; yellow vertical line indicates T = 2000 as a representative duration used in further analyses below, at which most of the information about input is in principle available from the response trajectories of our systems. (dashed black line) is the optimal decoding lower bound, and (dashed light gray) is the upper bound on the information, computed by applying Eq (29).

doi: https://doi.org/10.1371/journal.pcbi.1007290.g003