Models / Yokota 1985

Yokota 1985 photorespiration model

The Yokota 1985 model is a kinetic description of the photorespiratory C2 cycle in plant chloroplasts and peroxisomes. Glycolate generated by Rubisco oxygenase flows through glyoxylate, glycine, serine and hydroxypyruvate, while the hydrogen peroxide produced by glycolate oxidase is scavenged by catalase.

Every enzymatic step follows Michaelis–Menten kinetics, so the model traces how carbon and reducing equivalents move through the photorespiratory pathway under varying conditions.

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Simulation parameters

kf_phosphoglycolate_phosphatase 60
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Generated LaTeX Code

\begin{align*}
  \frac{d glycolate}{dt} &= kf\_phosphoglycolate\_phosphatase \\
  & - \frac{glycolate \cdot vmax\_glycolate\_oxidase}{glycolate + km\_glycolate\_oxidase\_s} \\ 
  \frac{d glyoxylate}{dt} &= \frac{glycolate \cdot vmax\_glycolate\_oxidase}{glycolate + km\_glycolate\_oxidase\_s} \\
  & - \frac{glyoxylate \cdot vmax\_glycine\_transaminase}{glyoxylate + km\_glycine\_transaminase\_s} \\
  & - \frac{glyoxylate \cdot serine \cdot vmax\_serine\_glyoxylate\_transaminase}{glyoxylate \cdot serine + \frac{glyoxylate}{km\_serine\_glyoxylate\_transaminase\_glyoxylate} + \frac{serine}{km\_serine\_glyoxylate\_transaminase\_serine} + \frac{1}{km\_serine\_glyoxylate\_transaminase\_glyoxylate \cdot km\_serine\_glyoxylate\_transaminase\_serine}} \\ 
  \frac{d glycine}{dt} &= \frac{glyoxylate \cdot vmax\_glycine\_transaminase}{glyoxylate + km\_glycine\_transaminase\_s} \\
  & - 2 \cdot \frac{glycine \cdot vmax\_glycine\_decarboxylase}{glycine + km\_glycine\_decarboxylase\_s} \\
  & + \frac{glyoxylate \cdot serine \cdot vmax\_serine\_glyoxylate\_transaminase}{glyoxylate \cdot serine + \frac{glyoxylate}{km\_serine\_glyoxylate\_transaminase\_glyoxylate} + \frac{serine}{km\_serine\_glyoxylate\_transaminase\_serine} + \frac{1}{km\_serine\_glyoxylate\_transaminase\_glyoxylate \cdot km\_serine\_glyoxylate\_transaminase\_serine}} \\ 
  \frac{d serine}{dt} &= \frac{glycine \cdot vmax\_glycine\_decarboxylase}{glycine + km\_glycine\_decarboxylase\_s} \\
  & - \frac{glyoxylate \cdot serine \cdot vmax\_serine\_glyoxylate\_transaminase}{glyoxylate \cdot serine + \frac{glyoxylate}{km\_serine\_glyoxylate\_transaminase\_glyoxylate} + \frac{serine}{km\_serine\_glyoxylate\_transaminase\_serine} + \frac{1}{km\_serine\_glyoxylate\_transaminase\_glyoxylate \cdot km\_serine\_glyoxylate\_transaminase\_serine}} \\ 
  \frac{d hydroxypyruvate}{dt} &= \frac{glyoxylate \cdot serine \cdot vmax\_serine\_glyoxylate\_transaminase}{glyoxylate \cdot serine + \frac{glyoxylate}{km\_serine\_glyoxylate\_transaminase\_glyoxylate} + \frac{serine}{km\_serine\_glyoxylate\_transaminase\_serine} + \frac{1}{km\_serine\_glyoxylate\_transaminase\_glyoxylate \cdot km\_serine\_glyoxylate\_transaminase\_serine}} \\
  & - \frac{hydroxypyruvate \cdot vmax\_glycerate\_dehydrogenase}{hydroxypyruvate + km\_glycerate\_dehydrogenase\_s} \\ 
  \frac{d H2O2}{dt} &= \frac{glycolate \cdot vmax\_glycolate\_oxidase}{glycolate + km\_glycolate\_oxidase\_s} \\
  & - \frac{H2O2 \cdot vmax\_catalase}{H2O2 + km\_catalase\_s}
\end{align*}

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Function evaluations per progress update
Maximum total function evaluations
Stop once residual norm reaches
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Every bar shares one fixed step budget. Drag a divider to move a cutoff, drag a bar's top edge (or focus it and use the arrow keys) to change its share — the final stage isn't draggable, it always gets whatever's left. Double-click a bar or use its + to split it, use a divider's × (or Delete/Backspace while it's focused) to remove it.

Split into equal stages:
min viable
1000 it. (final)
t=0 t=100
StageData cutoffIteration budget
1 (final)full data1000 iterations (runs to convergence within this)

Data

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ParameterFitLog-spaceInitial guess / fixed value Fitted value
kf_phosphoglycolate_phosphatase —
E0_glycolate_oxidase —
kcat_glycolate_oxidase —
km_glycolate_oxidase_s —
E0_glycine_transaminase —
kcat_glycine_transaminase —
km_glycine_transaminase_s —
E0_glycine_decarboxylase —
kcat_glycine_decarboxylase —
km_glycine_decarboxylase_s —
E0_serine_glyoxylate_transaminase —
kcat_serine_glyoxylate_transaminase —
km_serine_glyoxylate_transaminase_glyoxylate —
km_serine_glyoxylate_transaminase_serine —
E0_glycerate_dehydrogenase —
kcat_glycerate_dehydrogenase —
km_glycerate_dehydrogenase_s —
E0_catalase —
kcat_catalase —
km_catalase_s —

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