Quasi-steady rate law for a two-substrate allosteric enzyme (source code)

= Quasi-steady rate law for a two-substrate allosteric enzyme

For sequential binding with dimensionless parameters $\alpha,\beta,\gamma$, the reduced product rate has the form
$$
\frac{dp}{dt}
=A\frac{u^2}{\alpha+u+(\beta/\gamma)u^2}.
$$
It is quadratic at low substrate concentration and saturates at high concentration.