Transcription repressor autoregulation: Bifurcation, transient behavior, and periodic solutions in a negative regulatory loop with delay.

POKOJSKÁ, Eva, Rachid OUIFKI a Khashayar PAKDAMAN. Transcription repressor autoregulation: Bifurcation, transient behavior, and periodic solutions in a negative regulatory loop with delay. In ECMTB 2005, European Conference on Mathematical and Theoretical Biology. Dresden, 2005, s. 60-60.

Základní údaje

• Originální název: Transcription repressor autoregulation: Bifurcation, transient behavior, and periodic solutions in a negative regulatory loop with delay.
• Autoři: POKOJSKÁ, Eva, Rachid OUIFKI a Khashayar PAKDAMAN.
• Vydání: Dresden, ECMTB 2005, European Conference on Mathematical and Theoretical Biology. od s. 60-60, 2005.

Další údaje

• Typ výsledku: Stať ve sborníku
• Utajení: není předmětem státního či obchodního tajemství
• WWW: URL
• Organizační jednotka: Lékařská fakulta
• Klíčová slova anglicky: transcription regulation; segmentation clock; monotone negative cyclic feedback system; double delay; local stability and direction of bifurcation; global continuation; transient behavior
• Štítky: double delay, global continuation, segmentation clock, transcription regulation, transient behavior
• Příznaky: Mezinárodní význam

Anotace

Establishing an antero-posterior body axis polarity, and segmentation during embryogenesis in muticellular organisms are critical processes in early developmental stages. Experimental evidence suggests an intracellular control of rhythmic segment formation, promoted by transient oscillatory expression of key transcription regulators. Simulations revealed, that a 2-dimensional monotone negative cyclic feedback system with a single delay is capable of generating particular realistic behavior. We are introducing a more realistic model variant, comprising of independent, double activation/transport delay and double nonlinearity in molecular cooperativity/activation. Results from the local and global mathematical/numerical analysis of an extensive 4-dimensional parameter space gave rise to hypotheses on the existence of two functionally different classes of transcription regulators.