Nov 8, 2018

Homeostatic Controllers Compensating for Growth and Perturbations

BioRxiv : the Preprint Server for Biology
Peter RuoffTormod Drengstig

Abstract

Cells and organisms have developed homeostatic mechanisms to maintain internal stabilities which protect them against a changing environment. How cellular growth and homeostasis interact is still not well understood, but of increasing interest to the synthetic and molecular biology community where molecular control circuits are sought and tried to maintain homeostasis that opposes the diluting effects of cell growth. In this paper we describe the performance of four negative feedback (inflow) controllers, which, for different observed growth laws (time-dependent increase in the cellular volume V) are able to compensate for various time-dependent removals of the controlled variable A. The four implementations of integral control are based on zero-order, first-order autocatalytic, second-order (antithetic), and derepressing inhibition kinetics. All controllers behave ideal in the sense that they for step-wise perturbations in V and A are able to drive the controlled variable precisely back to the controller's theoretical set-point A\_{set}^{theor}. The applied increase in cellular volume includes linear, exponential and saturating growth and reflect experimentally observed growth laws of single cell organisms and other cell types...Continue Reading

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Mentioned in this Paper

Microorganism
Environment
Inhibitors
Cell Growth
Metabolic Inhibition
Loop
Structure
Cell Type
Molecular Biology
Derepression

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