Goodwin Oscillator
dx/dt = v₁/(1+(z/K)ⁿ) − d₁x
dy/dt = v₂x − d₂y
dz/dt = v₃y − d₃z
x = mRNA (CLOCK/BMAL1)
y = Protein (PER/CRY)
z = Nuclear repressor
Light input resets the phase.
dx/dt = v₁/(1+(z/K)ⁿ) − d₁x
dy/dt = v₂x − d₂y
dz/dt = v₃y − d₃z
x = mRNA (CLOCK/BMAL1)
y = Protein (PER/CRY)
z = Nuclear repressor
Light input resets the phase.