Observer Design for a Core Circadian Rhythm Network
Figure 1
(a) A core model for circadian rhythms [7]. Parameters marked on the directed edges denote reaction rates. denotes the concentration of the mRNA; are the concentrations of four forms of the protein expressed by the gene; are cytosolic proteins; is nuclear protein. The circadian gene transcripts mRNA and then translates protein . Proteins can be reversibly phosphorylated successively. can be transported into the nucleus; the nucleus protein can negatively regulate the expression of the circadian gene. The mRNA and protein suffer from degradations. (b) The inference diagram [4] for the circadian rhythm model (3). If appears in ’s differential equation, then there will be a directed edge from to .
