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Summary: Modeling signal transduction networks
by continuous and deterministic modelsy
Receptor - ligand binding - assumed to be elementary reaction
Methylation, phosphorylation reactions catalyzed by enzymes,y , p p y y y y ,
Michaelis-Menten kinetics assumed
Dephosphorylation, protein degradation spontaneous or catalyzed
Protein synthesis catalyzed by mRNA
St D i t t i l dSteps: Designate one component as signal and one as response;
Write rates of change for the concentration of components
based on the interactions they participate in;based on the interactions they participate in;
Find steady state concentrations;
Determine the dependence of the steady state response on the
signal strength.
Incoherent feed-forward loop
The signal acts on R both directly, and through an intermediary. S
is assumed to work at saturation (plentiful substrate). The catalyzed
decay is assumed to be elementary Steady state:decay is assumed to be elementary. Steady state:
RXkSk
dt
dR
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