Optimal length and signal amplification in weakly activated signal transduction cascades

Details Optimal length and signal amplification in weakly activated signal transduction cascades Optimal length and signal amplification in weakly activated signal transduction cascades

2003-11-20

arxiv.org/abs/math/0311357v1

Mathematics

Optimization and Control

27 pages, 10 figures, LaTeX file

Scientific paper

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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