2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69275Weakly 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.27 pages, 10 figures, LaTeX fileOptimization and ControlMolecular Networks93D25, 93B99, 92C99text