# Model Mathematics

### Component: C_6PG

$dd time C_6PG = rG6PDH - r6PGDH + mu ⁢ C_6PG$

### Component: C_Ru5P

$dd time C_Ru5P = r6PGDH - rR5PI + rRu5PE + mu ⁢ C_Ru5P$

### Component: C_R5P

$dd time C_R5P = rR5PI - rTKL1 + rRPPK + mu ⁢ C_R5P$

### Component: C_X5P

$dd time C_X5P = rRu5PE - rTKL1 + rTKL2 + mu ⁢ C_X5P$

### Component: C_S7P

$dd time C_S7P = rTKL1 - rTAL + mu ⁢ C_S7P$

### Component: C_E4P

$dd time C_E4P = rTAL - rTKL2 + rPKDA + mu ⁢ C_E4P$

### Component: C_G6P

$dd time C_G6P = dC_G6P_dt dC_G6P_dt =44.148+1⁢time+0.45⁢time2+44.1⁢time48+1⁢time+0.45⁢time2⁢48+1⁢time+0.45⁢time2⁢1+0.90⁢time$

$dd time C_NADP =-1.489.17+16.1⁢time+0.48⁢time2+1.48⁢time9.17+16.1⁢time+0.48⁢time2⁢9.17+16.1⁢time+0.48⁢time2⁢16.1+0.96⁢time$

$dd time C_NADPH =0.51625.39+0.37⁢time+0.5⁢time2-0.516⁢time25.39+0.37⁢time+0.5⁢time2⁢25.39+0.37⁢time+0.5⁢time2⁢0.37+1⁢time$

### Component: C_MgATP

$dd time C_MgATP =29.8329.77+13.42⁢time+0.05⁢time2-29.83⁢time29.77+13.42⁢time+0.05⁢time2⁢29.77+13.42⁢time+0.05⁢time2⁢13.42+0.1⁢time$

### Component: rG6PDH

$rG6PDH = rmax_G6PDH ⁢ C_NADP C_NADP + K_NADP_1 ⁢ I_NADPH_1 ⁢ I_MgATP_1 I_NADPH_1 =1.0+ C_NADPH Ki_NADPH_1 I_MgATP_1 =1.0+ C_MgATP Ki_MgATP_1$

### Component: r6PGDH

$r6PGDH = rmax_6PGDH ⁢ C_NADP C_NADP + K_NADP_2 ⁢ I_NADPH_2 ⁢ I_MgATP_2 I_NADPH_2 =1.0+ C_NADPH Ki_NADPH_2 I_MgATP_2 =1.0+ C_MgATP Ki_MgATP_2$

### Component: rR5PI

$rR5PI =1⁢ rmax_R5PI ⁢ C_Ru5P$

### Component: rRu5PE

$rRu5PE =1⁢ rmax_Ru5PE ⁢ C_Ru5P$

### Component: rTKL1

$rTKL1 =1⁢ rmax_TKL1 ⁢ C_X5P ⁢ C_R5P$

### Component: rTAL

$rTAL =1⁢ rmax_TAL ⁢ C_GAP ⁢ C_S7P$

### Component: rTKL2

$rTKL2 =1⁢ rmax_TKL2 ⁢ C_E4P ⁢ C_X5P$

### Component: rPKDA

$rPKDA =1⁢ rmax_PKDA ⁢ C_E4P C_E4P + K_PKDA$

### Component: rRPPK

$rRPPK =1⁢ rmax_RPPK ⁢ C_R5P C_R5P + K_RPPK$

### Component: rHK

$rHK = qs$

### Component: rPGI

$rPGI = qs - rG6PDH + mu ⁢ C_G6P + dC_G6P_dt$

### Component: model_constants

$qs = 0.131 if time < 0.0 0.546 otherwise$
Source
Derived from workspace Vaseghi, Baumeister, Rizzi, Reuss, 1999 at changeset babcfa697e8f.
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