MODELING THE NONLINEAR DYNAMICS OF CELLULAR SIGNAL TRANSDUCTION
- 1 June 2004
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos
- Vol. 14 (6) , 2069-2079
- https://doi.org/10.1142/s0218127404010461
Abstract
During the past decades the components involved in cellular signal transduction from membrane receptors to gene activation in the nucleus have been studied in detail. Based on the qualitative biochemical knowledge, signalling pathways are drawn as static graphical schemes. However, the dynamics and control of information processing through signalling cascades is not understood. Here we show that based on time resolved measurements it is possible to quantitatively model the nonlinear dynamics of signal transduction. To select an appropriate model we performed parameter estimation by maximum likelihood and statistical testing. We apply this approach to the JAK-STAT signalling pathway that was believed to represent a feed-forward cascade. We show by comparison of different models that this hypothesis is insufficient to explain the experimental data and suggest a new model including a delayed feedback.Keywords
This publication has 39 references indexed in Scilit:
- Identifying physical properties of alaser by dynamical modeling of measured time seriesPhysical Review E, 2001
- The ins and outs of signallingNature, 2001
- Emergent Properties of Networks of Biological Signaling PathwaysScience, 1999
- Dynamical properties of a ferroelectric capacitor observed through nonlinear time series analysisChaos: An Interdisciplinary Journal of Nonlinear Science, 1998
- Testing the Markov condition in ion channel recordingsPhysical Review E, 1997
- Genetic NetworksScience, 1995
- Similarity transformation approach to identifiability analysis of nonlinear compartmental modelsMathematical Biosciences, 1989
- Likelihood Ratio Tests for Model Selection and Non-Nested HypothesesEconometrica, 1989
- Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests under Nonstandard ConditionsJournal of the American Statistical Association, 1987
- A new look at the statistical model identificationIEEE Transactions on Automatic Control, 1974