Research Article
A Statistical Study on Oscillatory Protein Expression
@INPROCEEDINGS{10.1007/978-3-642-02469-6_30, author={Shiwei Yan}, title={A Statistical Study on Oscillatory Protein Expression}, proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2}, proceedings_a={COMPLEX PART 2}, year={2012}, month={5}, keywords={p53-Mdm2 interaction negative feedback loop sustained and damped oscillatory dynamics}, doi={10.1007/978-3-642-02469-6_30} }- Shiwei Yan
Year: 2012
A Statistical Study on Oscillatory Protein Expression
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_30
Abstract
Motivated by the experiments on the dynamics of a common network motif, and feedback loop, by Lahav et al. [Nat. Genet , 147(2004)] in individual cells and Lev Bar-or et al. [Proc. Natl. Acad. Sci. USA , 11250(2000)] at the population of cells, we propose a statistical signal-response model with aiming to describe the different oscillatory behaviors for the activities of and proteins both in individual and in population of cells in a unified way. At the cellular level, the activities of and proteins are described by a group of nonlinear dynamical equations where the damage-derived signal is assumed to have the form with abrupt transition (”on” ”off”) as soon as signal strength passes forth and back across a threshold. Each cell responses to the damage with different time duration within which the oscillations persist. For the case of population of cells, the activities of and proteins will be the population average of the individual cells, which results damped oscillations, due to the averaging over the cell population with the different response time.
