Optimal length and signal amplification in weakly activated signal transduction cascades

Eduardo D. Sontag, Madalena Chaves, Robert J. Dinerstein

Publication date: 20 November 2003

Abstract: Weakly activated signaling cascades can be modeled as linear systems. The input-to-output transfer function and the internal gain of a linear system, provide natural measures for the propagation of the input signal down the cascade and for the characterization of the final outcome. The most efficient design of a cascade for generating sharp signals, is obtained by choosing all the off rates equal, and a ``universal finite optimal length.

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Physiological, cellular and medical topics (92C99) Controllability, observability, and system structure (93B99)

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