$A + L \overset{k_{on}}{\underset{k_{off}}\rightleftarrows} AL$
Below is the rate equation:
${d[AL] \over dt} = k_{on} [A] [L] - k_{off} [AL]$
other forms:
${dy \over dt} = k_{on} [conc] (R_{max} - R) - k_{off} y$
${dy \over dt} = k_{on} [conc] R_{max} - (k_{on} [conc] + k_{off}) y$
${dy \over dt} = k_{on} C R_{max} - (k_{on} C + k_{off}) R$
Parameters:
$A + B \overset{k_{on}}{\underset{k_{off}}\rightleftarrows} AB \; (Kd_1)$
$\frac{d[AB]}{dt} = k_{on} [A] [B] - k_{off} [AL]$
$\Rightarrow$
$\frac{dy}{dt} = k_{on} [A] (R_{max} - R) - k_{off} * R$ ( Called "simple 1:1 model" )
$\Rightarrow$
$\frac{dy}{dt} = k_{on} \frac{-Kd_2+\sqrt{Kd_2^2+8Kd_2*[At]}}{4} (R_{max} - R) - k_{off} * R$
Where $Kd_{2} = \frac{k_{off}}{k_{on}}$, assuming $Kd_1 = Kd_2$.
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