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How time delay and network design shape response patterns in biochemical negative feedback systems.

Anastasiya Börsch1,2, Jörg Schaber3

  • 1Institute for Experimental Internal Medicine, Medical Faculty, Otto-von-Guericke University, Pfälzer Platz 2, Magdeburg, 39106, Germany.

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|August 26, 2016
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Summary

Delayed negative feedback in cellular networks creates oscillations and adaptation. Auto-inhibition stabilizes systems, while feedback strength and abruptness impact stability, offering insights for synthetic biology.

Keywords:
Auto-inhibitonBifurcationMass conservationStabilityp53

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Area of Science:

  • Biochemistry
  • Systems Biology
  • Cellular Network Dynamics

Background:

  • Cellular networks utilize negative feedback with time delays, leading to sustained oscillations and adaptive behaviors.
  • Understanding the design principles governing these delayed feedback systems is crucial for predicting network responses.

Purpose of the Study:

  • To investigate how specific design features of delayed negative feedback systems influence characteristic response patterns.
  • To elucidate the critical role of time delay in shaping the dynamics of biochemical signal-response networks.

Main Methods:

  • Analysis of generic two-dimensional delay differential equations modeling biochemical signal-response networks.
  • Evaluation of the impact of auto-inhibition, mass conservation, feedback strength, and feedback threshold on system stability.

Main Results:

  • Auto-inhibition and mass conservation confer stability to the system's equilibrium.
  • Increased feedback abruptness and decreased feedback threshold destabilize the equilibrium.
  • In the mammalian p53 system, auto-inhibitory feedback decouples oscillation period and amplitude, unlike delayed feedback.

Conclusions:

  • A theoretical framework is established to understand the interplay between time delay and network design features in generating specific cellular responses.
  • This knowledge aids in the rational design of synthetic biological networks and the control of their behavior.