Optimization of cultivation conditions for Microcystis aeruginosa for biodiesel production using response surface methodology

Bulletin of the National Research Centre

Table 1 Evaluation of three kinetic models

I (μmol/m²·s)	μ = μ_max. I / (I + K)			P = P_max. I / (I + I_k)			P = P_max. tanh (αI)
I (μmol/m²·s)	μ_Act.	μ_Pred.	μ_AAD	P_Act.	P_pred.	P_AAD	P_Act.	P_pred.	P_AAD
20.3	0.25	0.223	0.109	25	21.206	0.152	25	25.782	0.031
33.8	0.312	0.263	0.158	45	31.296	0.305	45	41.573	0.076
47.2	0.34	0.285	0.163	59	39.274	0.334	59	55.493	0.059
74.3	0.352	0.308	0.125	82	51.306	0.374	82	77.381	0.056
87.8	0.353	0.315	0.107	92	55.891	0.392	92	85.259	0.073
115	0.359	0.325	0.096	104.7	63.25	0.396	104.7	96.222	0.081
149	0.36	0.332	0.077	110	70.043	0.363	110	103.588	0.058
176	0.36	0.336	0.066	110	74.176	0.326	110	106.556	0.031
AAD			0.113			0.330			0.058

Specific growth rate (μ)_, cell productivity (P), actual values (Act.), predicted values (Pred.), absolute average deviation (AAD), and irradiance (I)