POKOJSKÁ, Eva and Rachid OUIFKI. Delay dynamics of nuclear transcription autoregulation. In Workshop on Dynamical Systems. MSRI Berkeley, 2007.
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Basic information
Original name Delay dynamics of nuclear transcription autoregulation
Authors POKOJSKÁ, Eva and Rachid OUIFKI.
Edition MSRI Berkeley, Workshop on Dynamical Systems, 2007.
Other information
Type of outcome Proceedings paper
Confidentiality degree is not subject to a state or trade secret
WWW URL
Organization unit Faculty of Medicine
Keywords in English Delayed negative feedback; Stability and periodic solutions; Global attractor; Segmentation clock
Tags Delayed negative feedback, Global attractor, segmentation clock, Stability and periodic solutions
Tags International impact
Changed by Changed by: MUDr. Eva Pokojská, učo 20280. Changed: 29/1/2007 06:45.
Abstract
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.
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AV0Z60870520, plan (intention)Name: Prostorová a funkční dynamika biologických, ekologických a sociálně-ekonomických systémů v interakci s Globální změnou klimatu
MSM6007665808, plan (intention)Name: Fyzikální biologie -nové přístupy v biologickém výzkumu
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