Stability analysis of an artificial biomolecular oscillator with non-cooperative regulatory interactions.
Oscillators are essential to fuel autonomous behaviours in molecular systems. Artificial oscillators built with programmable biological molecules such as DNA and RNA are generally easy to build and tune, and can serve as timers for biological computation and regulation. We describe a new artificial nucleic acid biochemical reaction network, and we demonstrate its capacity to exhibit oscillatory solutions. This network can be built in vitro using nucleic acids and three bacteriophage enzymes, and has the potential to be implemented in cells. Numerical simulations suggest that oscillations occur in a realistic range of reaction rates and concentrations.
a Mechanical Engineering , University of California at Riverside , Riverside , CA , USA.
Christian
C
Cuba Samaniego
b Department of Automatic Control and LCCC Linnaeus Center , Lund University , Lund , Sweden.
Giulia
G
Giordano
c Mathematics and Computer Science , University of Udine , Udine , Italy.
Franco
F
Blanchini
a Mechanical Engineering , University of California at Riverside , Riverside , CA , USA.
Elisa
E
Franco
D001435:Bacteriophages / Q000201:enzymology; D012321:DNA-Directed RNA Polymerases / Q000737:chemistry*; D008956:Models, Chemical; D009696:Nucleic Acids / Q000737:chemistry*; D009991:Oscillometry
D009696:Nucleic Acids; D012321:DNA-Directed RNA Polymerases
34A34; 34C15; 78A70; 92C40; Nonlinear systems; biochemistry; biological applications; molecular biology; nonlinear oscillations