Sep 28, 2018

Non-normality can facilitate pulsing in biomolecular circuits

IET Systems Biology
Abhilash Patel, Shaunak Sen

Abstract

Non-normality can underlie pulse dynamics in many engineering contexts. However, its role in pulses generated in biomolecular contexts is generally unclear. Here, the authors address this issue using the mathematical tools of linear algebra and systems theory on simple computational models of biomolecular circuits. They find that non-normality is present in standard models of feedforward loops. They used a generalised framework and pseudospectrum analysis to identify non-normality in larger biomolecular circuit models, finding that it correlates well with pulsing dynamics. Finally, they illustrate how these methods can be used to provide analytical support to numerical screens for pulsing dynamics as well as provide guidelines for design.

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Mentioned in this Paper

Systems Theory
Physiologic Pulse
Analysis
Allium lineare

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