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Optimal length and signal amplification in weakly activated signal transduction cascades

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

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Madalena Chaves, Eduardo D. Sontag, Robert J. Dinerstein. 2003-11-20. Optimal length and signal amplification in weakly activated signal transduction cascades. https://arxiv.org/abs/math/0311357

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