Processing of information by signaling networks is characterized by properties of the induced kinetics of the activated pathway
components. The maximal extent of pathway activation (maximum amplitude) and the time-to-peak-response (position) are key
determinants of biological responses that have been linked to specific outcomes. We investigate how the maximum amplitude
of pathway activation and its position depend on the input and wiring of a signaling network. For this purpose, we consider
a simple reaction A→B that is regulated by a transient input and extended this to include back-reaction and additional partners. In particular,
we show that a unique maximum of B(t) exists. Moreover, we prove that the position of the maximum is independent of the applied input but regulated by degradation
reactions of B. Indeed, the time-to-peak-response decreases with increasing degradation rate, which we prove for small models and show in
simulations for more complex ones. The identified dependencies provide insights into design principles that facilitate the
realization dynamical characteristics like constant position of maximal pathway activation and thereby guide the characterization
of unknown kinetics within larger protein networks.
Keywords Receptor ligand modeling – Regulatory networks – Quantitative modeling – Systems biology
F.J. Theis and S. Bohl contributed equally.