Thresholds in transient dynamics of signal transduction pathways

Katja Rateitschak (1) , Olaf Wolkenhauer (1)

1 Universität Rostock

Transient dynamics of signal transduction pathways play an important role in many biological processes, including cell differentiation, apoptosis, metabolism and DNA damage response. Recent examples of quantitative methods to characterize transient signals include transient metabolic control coefficients and finite time Lyapunov exponents. In our work we compare these quantitative methods to characterize transient phenomena and specifically discuss their predictive power for three examples. We focus on the identification of thresholds that separate different transient dynamic behaviors. Our investigation leads to the following results: The spectrum of the finite-time Lyapunov exponents unambiguously and reliably identifies putative thresholds in transient dynamics. Metabolic control coefficients do not reliably detect all thresholds and suffer from false positives.

Mots clés: Signal transduction; Transient dynamics; Lyapunov exponents; Metabolic control coefficient; Hill equation; Relative instability exponent

Katja Rateitschak, Olaf Wolkenhauer. Thresholds in transient dynamics of signal transduction pathways. Journal of Theoretical Biology, 2010, 264 (2), pp.334. ⟨10.1016/j.jtbi.2010.02.001⟩. ⟨hal-00585794⟩