Redundancy in the information transmission in a two-step cascade

Abstract

We present a stochastic framework to study signal transmission in a generic two-step cascade $\text{S}\to \text{X}\to \text{Y}$. Starting from a set of Langevin equations obeying Gaussian noise processes we calculate the variance and covariance while considering both linear and nonlinear production terms for different biochemical species of the cascade. These quantities are then used to calculate the net synergy within the purview of partial information decomposition. We show that redundancy in information transmission is essentially an important consequence of Markovian property of the two-step cascade motif. We also show that redundancy increases fidelity of the signalling pathway.

Revised version, 7 pages, 2 figures

References in corpus (1)

• Exploration of synergistic and redundant information sharing in static and dynamical Gaussian systems

Cited by in corpus (5)

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• Information transmission in a two-step cascade: Interplay of activation and repression