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Equations

Carbon Dioxide

$${d[CO_2] \over dt} = 0 .$$

Erythrose 4-Phosphate

$${d[E4P] \over dt} = {{K_m \cdot V_{max} \cdot [F6P]} \over {K_m + [F6P]}} - {{K_m \cdot V_{max} \cdot [E4P]} \over {K_m + [E4P]}} - K_{deg}[E4P] .$$

Sedoheptulose 1,7-Bisphosphatase

$${d[Sed1,7P2] \over dt} = {{K_m \cdot V_{max} \cdot [E4P]} \over {K_m + [E4P]}} - {{K_m \cdot V_{max} \cdot [Sed1,7P2]} \over {K_m + [Sed1,7P2]}} - K_{deg}[Sed1,7P2] .$$

Sedoheptulose 7-Phosphate

$${d[Sed7P] \over dt} = {{K_m \cdot V_{max} \cdot [Sed1,7P2]} \over {K_m + [Sed1,7P2]}} - {{K_m \cdot V_{max} \cdot [Sed7P]} \over {K_m + [Sed7P]}} - K_{deg}[Sed7P] .$$

Ribose 5-Phosphate

$${d[R5P] \over dt} = {{K_m \cdot V_{max} \cdot [Sed1,7P2]} \over {K_m + [Sed1,7P2]}} - {{K_m \cdot V_{max} \cdot [R5P]} \over {K_m + [R5P]}} - K_{deg}[R5P] .$$

Ribolose 5-Phosphate

$${d[Rul5P] \over dt} = {{K_m \cdot V_{max} \cdot [R5P]} \over {K_m + [R5P]}} - {{K_m \cdot V_{max} \cdot [Rul5P]} \over {K_m + [Rul5P]}} - K_{deg}[Rul5P] .$$

Ribulose 1,5-Bisphosphate

$${d[Rul1,5P2] \over dt} = {{K_m \cdot V_{max} \cdot [Rul5P]} \over {K_m + [Rul5P]}} - {{K_m \cdot V_{max} \cdot [Rul1,5P2][CO_2]} \over {K_m + [Rul1,5P2][CO_2]}} - K_{deg}[Rul1,5P2] .$$

glycerate 3-phosphate

$${d[Gl3P] \over dt} = {{K_m \cdot V_{max} \cdot [Rul1,5P2][CO_2]} \over {K_m + [Rul1,5P2][CO_2]}} - {{K_m \cdot V_{max} \cdot [Gl3P]} \over {K_m + [Gl3P]}} - K_{deg}[Gl3P] .$$

Glycerate 1,3-Bisphosphate

$${d[Gl1,3P2] \over dt} = {{K_m \cdot V_{max} \cdot [Gl3P]} \over {K_m + [Gl3P]}} - {{K_m \cdot V_{max} \cdot [Gl1,3P2]} \over {K_m + [Gl1,3P2]}} - K_{deg}[Gl1,3P2] .$$

Glyceraldehyde 3-Phosphate

$${d[GlAl3P] \over dt} = {{K_m \cdot V_{max} \cdot [Gl1,3P2]} \over {K_m + [Gl1,3P2]}} - {{K_m \cdot V_{max} \cdot [GlAl3P]} \over {K_m + [GlAl3P]}} - K_{deg}[GlAl3P] .$$

Fructose 1,6-Bisphosphatase

$${d[F1,6P2] \over dt} = {{K_m \cdot V_{max} \cdot [GlAl3P]} \over {K_m + [GlAl3P]}} - {{K_m \cdot V_{max} \cdot [F1,6P2]} \over {K_m + [F1,6P2]}} - K_{deg}[F1,6P2] .$$

Fructose 6-Phosphate

$${d[F6P] \over dt} = {{K_m\cdot V_{max} \cdot [F1,6P2]]} \over {K_m + [F1,6P2]}} - {{K_m^{enz1} \cdot V_{max}^{enz1} \cdot [F6P]} \over {K_m^{enz1} + [F6P]}} - {{K_m^{enz2} \cdot V_{max}^{enz2} \cdot [F6P]} \over {K_m^{enz2} + [F6P]}} - K_{deg}[F6P] .$$

ARN(FBP\SBP)

$${d[ARN FBP\SBP] \over dt} = K_{FBP\SBP transcription}[ADN] - K_{deg ARNFBP\SBP}[ARN FBP\SBP].$$

FBP\SBP

$${d[FBP\SBP] \over dt} = K_{FBP\SBP translation}[ARN FBP\SBP] - K_{deg FBP\SBP}[FBP\SBP].$$

glucose 6-Phospate

$${d[G6P] \over dt} = {{K_m \cdot V_{max} \cdot [F6P]} \over {K_m + [F6P}} - {{K_m \cdot V_{max} \cdot [G6P]} \over {K_m + [G6P]}} - K_{deg}[G6P] .$$

glucose 1-Phospate

$${d[G1P] \over dt} = {{K_m \cdot V_{max} \cdot [G6P]} \over {K_m + [G6P]}} + {{K_m \cdot V_{max} \cdot [GDPG]} \over {K_m + [GDPG]}} - {{K_m^{enz1} \cdot V_{max}^{enz1} \cdot [G1P]} \over {K_m^{enz1} + [G1P]}} - {{K_m^{enz2} \cdot V_{max}^{enz2} \cdot [G1P]} \over {K_m^{enz2} + [G1P]}} - {{K_m^{enz3} \cdot V_{max}^{enz3} \cdot [G1P]} \over {K_m^{enz3} + [G1P]}} - K_{deg}[G1P] .$$

ADP-Glucose

$${d[ADPG] \over dt} = {{K_m \cdot V_{max} \cdot [G1P]} \over {K_m + [G1P]}} - {{K_m \cdot V_{max} \cdot [ADPG]} \over {K_m + [ADPG]}} - K_{deg}[ADPG] .$$

Amilose

$${d[Aml] \over dt} = {{K_m \cdot V_{max} \cdot [ADPG]} \over {K_m + [ADPG]}} + {{K_m \cdot V_{max} \cdot [UDPG]} \over {K_m + [UDPG]}} - {{K_m \cdot V_{max} \cdot [Aml]} \over {K_m + [Aml}} - K_{deg}[Aml] .$$

Starch

$${d[Starch] \over dt} = {{K_m \cdot V_{max} \cdot [Aml]} \over {K_m + [Aml]}} - K_{deg}[Starch] .$$

GDP-Glucose