Dynamics of nuclear transcription autoregulation: Bifurcation and periodic solutions in a negative feedback loop with delay
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Periodical |
| Magazine / Source | Physica D - Nonlinear Phenomena |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.elsevier.com/wps/find/journaldescription.cws_home/505714/description#description |
| Field | Management theory and systems |
| Keywords | Delayed negative feedback; Stability and periodic solutions; Global attractor; Differentiation clock |
| Description | Controlled timing of cell death in early development results in rhythmic segment formation during multicellular body prolongation. The process is regulated intracellularly, by transient oscillatory expression of nuclear transcription regulators, and can be modeled by a simple negative feedback loop. Role of transport/processing delay on stability, bifurcation direction, periodic solutions, and global attractor structure is analyzed for the unstable phase space region, bounded below by reaction nonlinearities and production/decay rates. Existence of two functionally different classes of dynamic transcription regulators is conjectured from the theoretical results. |
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