Comptes rendus de l’Acade'mie bulgare des Sciences, Vol 63, No1, pp.61-70
Dynamics of microRNA Regulation of Cancer Network
Svetoslav Nikolov, Julio Vera, Ralf Herwig, Olaf Wolkenhauer, Valko Petrov
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.
Key words: microRNA regulation, time delay model, stability analysis