Biochemical Systems Theory: A Review

Figure 8

Although GMA and S-system models are mathematically different, their responses are often similar. Shown here are responses of the branched pathway model in (18) and (19) (see Figure 2). Parameter values are 𝛼₁=1; 𝛼₂=2.5; 𝛼₃=1.5; 𝛽₁=4; 𝛽₂=2.5; 𝛽₃=1.5; 𝑔₁₀=1; 𝑔₁₂=−0.75; 𝑔₂₁=0.2; 𝑔₃₁=0.9; ℎ₁₁=0.4625; ℎ₂₂=0.3; ℎ₃₃=0.8; 𝑋₀=4. Initial values are 𝑋₁=0.2; 𝑋₂=0.35; 𝑋₃=1.75. Dots and subscripts S indicate S-system responses, while lines and subscripts G refer to the corresponding GMA system.