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Elucidation of molecular kinetic schemes from macroscopic traces using system identification

Fig 4

Molecular Kinetic Converter Module implementation.

Molecular kinetic schemes derived from block diagrams for first-order systems (A), second-order systems in cascade (B), second-order systems in feedback (C), second-order in parallel addition (D), and second-order systems in parallel subtraction (E) configurations. Red circles indicate the observable state for each configuration. Black and blue circles depict non-observable states. The supporting material (S1 Text) provides, based on the steps described in the main text, a complete derivation of the molecular kinetic scheme corresponding to each configuration. It also includes, for each configuration, the equations that describe the transition rates between states (σk) and the observable proportionality constant (γ) as a function of the pole and zero time constants (τpole1, τpole2, and τzero), and the gain of the system.

Fig 4

doi: https://doi.org/10.1371/journal.pcbi.1005376.g004