Modeling metabolic networks in C. glutamicum: a comparison of rate laws in combination with various parameter optimization strategies

Table 5 Reduced reaction system and optimization results

Model	Replaced Parameter	Linear Regression Model	Mean Fitness ± Std. Dev.
GMAKr	k ₊₁	a₁ · $K_{3}^{I}$	21.4782 ± 0.3254
	k ₊₃	a₂ · $K_{3}^{I}$
	k _-1	a₃ · $K_{3}^{I}$
	k _-3	a₄ · $K_{3}^{I}$
	k ₊₄	a₅ · k_-4
	k ₊₇	a₆ · k_-7
	k ₊₉	a₇ · K_-9
GMMr	k _-4	b₁ · k₊₄ + b₂ · k₊₅	21.9538 ± 0.0832
	k ₊₁	b₃ · k_-1 + b₄ · $K_{1}^{I}$
	k ₊₇	b₅ · k_-7
	k ₊₈	b₆ · k_-8
	k ₊₉	b₇ · k_-9
CKMMr	$k_{+ 1}^{cat}$	c₁ · $K_{{[Pyr]}_{1}}^{M}$	22.7219 ± 0.6626
	$K_{{[DHIV]}_{1}}^{M}$	c₂ · $K_{{[{NADP}^{+}]}_{1}}^{M}$
	$k_{+3}^{cat}$	c₃ · $K_{{[KIV]}_{1}}^{M}$
	$K_{{[KIC]}_{2}}^{M}$	c₄ · $K_{[KIV]}^{M}$ + c₅ · $K_{{[Glut]}_{2}}^{M}$

The table lists the parameters that are replaced by linear regression models with coefficients a_i, b_i, c_iof other highly correlated model parameters.

ISSN: 1752-0509