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A Statistical Study on Oscillatory Protein Expression

  • Shiwei Yan
Part of the Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering book series (LNICST, volume 5)

Abstract

Motivated by the experiments on the dynamics of a common network motif, \(\mbox{p53}\) and \(\mbox{Mdm2}\) feedback loop, by Lahav et al. [Nat. Genet 36, 147(2004)] in individual cells and Lev Bar-or et al. [Proc. Natl.  Acad. Sci. USA 97, 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 \(\mbox{p53}\) and \(\mbox{Mdm2}\) proteins both in individual and in population of cells in a unified way. At the cellular level, the activities of \(\mbox{p53}\) and \(\mbox{Mdm2}\) 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” \(\leftrightarrow\) ”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 \(\mbox{p53}\) and \(\mbox{Mdm2}\) 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.

Keywords

p53-Mdm2 interaction negative feedback loop sustained and damped oscillatory dynamics 

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Copyright information

© ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering 2009

Authors and Affiliations

  • Shiwei Yan
    • 1
    • 2
    • 3
  1. 1.College of Nuclear Science and TechnologyBeijing Normal UniversityBeijingChina
  2. 2.Beijing Radiation CenterBeijingChina
  3. 3.Center of Theoretical PhysicsNational Laboratory of Heavy Ion Accelerator of LanzhouLanzhouChina

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