Abstract
By using a mathematical representations of the microRNA (miRNA) interaction cancer network we derive explicit conditions on how the dynamics of a time delay model of the interaction between the miRNA-17-92 cluster and the transcription factors E2F and Myc depends on systems parameters. Our analysis reveals the complex behaviour of the system. We compute the occurrence of a limit cycle after an Andronov-Hopf bifurcation for the time delay parameter and show that the analytical results agree with numerical simulations, i.e. the time delay has a stabilization role.
| Original language | English |
|---|---|
| Pages (from-to) | 61-70 |
| Number of pages | 10 |
| Journal | Comptes Rendus de L'Academie Bulgare des Sciences |
| Volume | 63 |
| Issue number | 1 |
| State | Published - 2010 |
| Externally published | Yes |
Keywords
- MicroRNA regulation
- Stability analysis
- Time delay model