On the dephasing of genetic oscillations

Abstract

The digital nature of genes combined with the associated low copy numbers of proteins regulating them is a significant source of stochasticity, which affects the phase of biochemical oscillations. We provide a theoretical framework for understanding the dephasing evolution of genetic oscillations by combining the phenomenological stochastic limit cycle dynamics and the discrete Markov state models that describe the genetic oscillations. Through simulations of the realistic model of the NFκB/IκB network we illustrate the dephasing phenomena which are important for reconciling single cell and population based experiments on this system.

References in corpus (2)

• Oscillations and temporal signalling in cells
• Exact Mapping Noisy van der Pol Type Oscillator onto Quasi-symplectic Dynamics

Cited by in corpus (9)

• Quantum fluctuations in Fröhlich condensate of molecular vibrations driven far from equilibrium
• Efficient analysis of stochastic gene dynamics in the non-adiabatic regime using piecewise deterministic Markov processes
• Phase descriptions of a multidimensional Ornstein-Uhlenbeck process
• A Universal Description of Stochastic Oscillators
• Dichotomous noise models of gene switches
• Role of DNA binding sites and slow unbinding kinetics in titration-based oscillators
• Chemical event chain model of coupled genetic oscillators
• Stochastic switching of delayed feedback suppresses oscillations in genetic regulatory systems
• Topology of the simplest gene switch