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Figure 7 | BMC Systems Biology

Figure 7

From: Analyzing fixed points of intracellular regulation networks with interrelated feedback topology

Figure 7

Eigenvalues of the repressilator model. Real (green) and imaginary (red) parts of the eigenvalues λ(β) of J f ( x ̄ ) of the repressilator model (11) with parameters α=290, n=2, α0=10 and m ̄ i = p ̄ i =12. The figure was created by calculating the characteristic polynomial χ(λ,β) of J f ( x ̄ ), which is given here as χ(λ,β)= ( 1 + λ ) 3 ( β + λ ) 3 β 3 r ( p ̄ ) 3 with r ( x ̄ )= 2 α p ̄ ( 1 + p ̄ 2 ) 2 0.33, and using a Newton gradient search with several random starting points to find the eigenvalues λwith accuracy |det( J f (x)λ(β)I)|<10−4. Has been created with Additional files 3 and 4.

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