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@inproceedings{710969, author = {Pokojská, Eva and Ouifki, Rachid}, address = {MSRI Berkeley}, booktitle = {Workshop on Dynamical Systems}, keywords = {Delayed negative feedback; Stability and periodic solutions; Global attractor; Segmentation clock}, location = {MSRI Berkeley}, title = {Delay dynamics of nuclear transcription autoregulation}, url = {http://www.msri.org/calendar/programs/ProgramInfo/244/show_program}, year = {2007} }
TY - JOUR ID - 710969 AU - Pokojská, Eva - Ouifki, Rachid PY - 2007 TI - Delay dynamics of nuclear transcription autoregulation CY - MSRI Berkeley KW - Delayed negative feedback KW - Stability and periodic solutions KW - Global attractor KW - Segmentation clock UR - http://www.msri.org/calendar/programs/ProgramInfo/244/show_program N2 - One of many critical processes in early development is a rhythmic segment formation, regulated by intracellular control of transient oscillatory expression in key nuclear transcription regulators. We generalize the mathematical model of such transcription autoregulation represented by a 2-dimensional monotone negative cyclic feedback system incorporating delay. We focus on analyzing the role of delay on stability, bifurcation direction, periodic solutions, and the global attractor structure in particular phase space regions determined by reaction nonlinearities, and production/decay rates. Existence of two functionally different classes of dynamic transcription regulators is conjectured based on the theoretical results. ER -
POKOJSKÁ, Eva and Rachid OUIFKI. Delay dynamics of nuclear transcription autoregulation. In \textit{Workshop on Dynamical Systems}. MSRI Berkeley, 2007.
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