Kinetic Model of Translational Autoregulation

TL;DR

This paper models the dynamics of translational autoregulation where a protein inhibits its own production, demonstrating how negative feedback improves control effectiveness and response speed.

Contribution

It introduces a kinetic model of autoregulation, highlighting the importance of feedback mechanisms and phase space analysis in understanding system dynamics.

Findings

Negative feedback enhances regulation efficiency

Linear models without feedback are less effective

Full phase space analysis reveals system behavior

Abstract

We investigate dynamics of a kinetic model of inhibitory autoregulation as exemplified when a protein inhibits its own production by interfering with its messenger RNA, known in molecular biology as translational autoregulation. We first show how linear models without feedback set the stage with a nonequilibrium steady state that constitutes the target of the regulation. However, regulation in the simple linear model is far from optimal. The negative feedback mechanism whereby the protein "jams" the mRNA greatly enhances the effectiveness of the control, with response to perturbation that is targeted, rapid, and metabolically efficient. Understanding the full dynamics of the system phase space is essential to understanding the autoregulation process.