# Enzyme kinetics: full model

## Model description:

This is a full polynomial form of the model, given in Enzyme kinetics:

\begin{align*} \dot{x}_1 &= -bx_1 + ax_5\\ \dot{x}_2 &= \alpha x_1 - \beta x_2\\ \dot{x}_3 &= \gamma x_2 - \delta x_3\\ \dot{x}_4 &= \sigma x_4 x_6 ( \gamma x_2 - \delta x_3) \\ \dot{x}_5 &= -\sigma x_4 x_5^2 x_6 ( \gamma x_2 - \delta x_3)\\ \dot{x}_6 &= -x_6^2( \gamma x_2 - \delta x_3) \end{align*}

with $x_1(0) = 0.3617$, $x_2(0) = 0.9137$, $x_3(0)=1.3934$, $x_4(0) = x_3(0)^{\sigma}$, $x_5(0)=\dfrac{1}{A+x_3(0)^{\sigma}}$, $x_6(0)=\dfrac{1}{x_3(0)}.$

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## Publication details:

 Title Structural Identifiability of Systems Biology Models: A Critical Comparison of Methods Publication Type Journal Article Authors Chis, Oana-Teodora, Banga Julio R., and Balsa-Canto Eva Secondary Authors Jaeger, JohannesEditor