Periodic, Quasi-periodic and Chaotic Dynamics in Simple Gene Elements with Time Delays.

ABSTRACT: Regulatory gene circuit motifs play crucial roles in performing and maintaining vital cellular functions. Frequently, theoretical studies of gene circuits focus on steady-state behaviors and do not include time delays. In this study, the inclusion of time delays is shown to entirely change the time-dependent dynamics for even the simplest possible circuits with one and two gene elements with self and cross regulations. These elements can give rise to rich behaviors including periodic, quasi-periodic, weak chaotic, strong chaotic and intermittent dynamics. We introduce a special power-spectrum-based method to characterize and discriminate these dynamical modes quantitatively. Our simulation results suggest that, while a single negative feedback loop of either one- or two-gene element can on

SUBMITTER: Suzuki Y 

PROVIDER: S-EPMC4753448 | biostudies-literature | 2016 Feb

REPOSITORIES: biostudies-literature