Time-delayed models of gene regulatory networks
arXiv:1510.08513 · doi:10.1155/2015/347273
Abstract
In this review we discuss different mathematical models of gene regulatory networks as relevant to the onset and development of cancer. After discussion of alternative modelling approaches, we use a paradigmatic two-gene network to focus on the role played by time delays in the dynamics of gene regulatory networks. We contrast the dynamics of the reduced model arising in the limit of fast mRNA dynamics with that of the full model. The review concludes with the discussion of some open problems.
27 pages, 6 figures
References in corpus (5)
- Stability and bifurcations in an epidemic model with varying immunity period
- Amplitude and phase dynamics in oscillators with distributed-delay coupling
- Amplitude death in systems of coupled oscillators with distributed-delay coupling
- Synchronization of networks of oscillators with distributed delay coupling
- Transition to complete synchronization and global intermittent synchronization in an array of time-delay systems