Table 1.

Biokinetic models used for biodegradation of mazut

Model	Equation
Monod	$r_s=r_{smax}\frac{S}{K_s=S}$
Teissier	$r_s=r_{s\mathit{max}}\left(e^{-\frac{S}{K_i}}-e^{-\frac{S}{K_s}}\right)$
Aiba et al.	$r_s=r_{s\mathit{max}}\frac{S\left(e^{-\frac{S}{K_i}}\right)}{K_s+S}$
Yano and Koga	$r_s=r_{s\mathit{max}}\frac{\text{S}}{K_s+\mathrm{S}+\frac{{\mathrm{S}}^2}{{\mathrm{K}}_1}+\frac{{\mathrm{S}}^3}{{\mathrm{K}}_2^2}}$
Haldane (Andrews)	$r_s=r_{s\mathit{max}}\frac{\text{S}}{K_s+\mathrm{S}+\frac{{\mathrm{S}}^2}{{\mathrm{K}}_1}}$
Webb	$r_s=r_{s\mathit{max}}\frac{\mathrm{S}\left(1+\frac{\text{S}}{\mathrm{Ki}}\right)}{K_s+\mathrm{S}+\frac{{\mathrm{S}}^2}{{\mathrm{K}}_1}}$
Levenspiel	$r_s=r_{s\mathit{max}}\frac{\mathrm{S}\left(1+\frac{\text{S}}{\mathrm{Ki}}\right)}{K_s+\mathrm{S}}$
Moser	$r_s=r_{s\mathit{max}}\frac{1}{1+{\mathrm{K}}_{\mathrm{s}}\left({\mathrm{S}}^{-\lambda }\right)}$
Contois	$r_s=r_{s\mathit{max}}\frac{\text{S}}{\mathrm{\beta x}+\mathrm{S}}$
First order	rs = aS + b
Second order	rs = aS2 + bS + c
Third order	rs = aS2 + bS2 + cS + d