We propose the generalisation of the p53-Mdm2 protein gene expression model introduced by Monk (2003). We investigate the stability of a unique positive steady state and formulate conditions which guarantee the occurrence of the Hopf bifurcation. We show that oscillatory behaviour can be caused not only by time lag in protein transcription process, but also can be present in the model without time delay. Moreover, we investigate the stability of new born periodic solutions. Theoretical results are illustrated by numerical simulations and interpreted from the biological point of view.
Authors
- dr hab. Monika Piotrowska,
- dr Agnieszka Bartłomiejczyk link open in new tab ,
- dr hab. Marek Bodnar
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1016/j.amc.2018.01.014
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2018
