3.1 Effect of incident light intensity on the growth of Synechocystis sp. PCC 6803
The effect of incident light intensity on the growth of Synechocystis sp. PCC 6803 was investigated in the 1 L bubble column PBR, and the results were shown in Figure 1. After 24 h cultivation, the density of microalgae cells in the experimental groups with the light intensity of 100, 150 and 300 μmol/(m2·s) were 4.48×107, 5.85×107 and 5.37×107 cell/mL respectively. However, the density of microalgae cells was only 1.8×107 cell/mL when the incident light intensity was 450 μmol/(m2·s). These results indicated that microalgae could grow rapidly even at the low incident light intensity when cell density was low. However, when the incident light intensity was too high, the growth of microalgae was photoinhibited. After 144 h cultivation, in this four experimental groups, the cell density increased with the incident light intensity. The density of microalgae cells in the experimental groups with the light intensity of 100, 150, 300 and 450 μmol/(m2·s) were 3.6×108, 4.9×108, 5.4×108 and 6.08×108 cell/mL respectively. It was because the light intensity became a limiting factor affecting microalgae’s growth when cell density was high.
Then the specific growth rate of Synechocystis sp. PCC 6803 at different cultivation periods was calculated (Table 1). A max specific growth rate was observed in the experimental group with the light intensity of 100 μmol/(m2·s) and 150 μmol/(m2·s) at 0-24 h, while a max specific growth rate was observed in that of 300 μmol/(m2·s) and 450 μmol/(m2·s) at 24-48 h. The concentration of microalgae broth increased with cultivation time. It was suggested that the optimal incident light intensity varied with cell densities, thus the incident light intensity could not directly predict the microalgae growth as a reslut of the increased light attenuation during the cultivation stage. Therefore, the light attenuation of Synechocystis sp. PCC 6803 was necessary to be investigated.
3.2 Light attenuation of Synechocystis sp. PCC 6803
In this section, the light attenuation of Synechocystis sp. PCC 6803 was determined under different concentrations of microalgae and light path, and the results were shown in Figure 2. The local light intensity decreased with the increase of the light path. Taking the data of dry cell weight 0.2 g/L as an example, when the light path was 0.02 m, the local light intensity was 104.9 μmol/(m2·s), which was decreased by 67.11%. When the light path increased to 0.04 m, the local light intensity decreased to 52.8 μmol/(m2·s), with an attenuation of 83.43%. It indicated that the longer the light path along the illumination direction, the more severe the light attenuation. At the same time, the local light intensity also decayed with the increase of microalgae density. Taking the data of the light path is 0.01 m as an example, when the concentration was 0.2 g/L, the local light intensity was 173.5 μmol/(m2·s), which decayed by 45.64% of the incident light intensity. When the concentration increased to 1.6 g/L, the local light intensity decreased to 13.2 μmol/(m2·s), decreasing by 95.86%. It indicated that the higher the density of microalgae, the more severe the light attenuation. Subsequently, the light attenuation of Synechocystis sp. PCC 6803 was fitted with Lambert-Beer model and Cornet model, respectively.
Figure 3 showed the curves fitted with Lambert-Beer model(a) and Cornet model(b), respectively. The fitting parameters of Lambert-Beer model were as follows: Ka=0.229±0.011 b=5.247±0.294, R2=0.997. The fitting parameters of Cornet model were as follows: Ea=0.205±0.012, Es=0.161±0.005, R2=0.999. It can be seen from Figure 4 that the predicted values of Cornet model were closer to the determined values, which indicated Cornet model could better predict the light attenuation. This was because only the light absorption was considered but the scattering of microalgae cells was ignored in Lambert-Beer model. In the case of a high concentration of microalgae fluid, the influence of scattering increased, and the predicted value gradually deviated from the determined one. The Cornet model took both light absorption and scattering into account, so the model predicted value was more consistent with the determined one. The determined value can be well matched even in the case of a large variation of microalgae concentration, which was similar to the study of Li et al.(2021). Therefore, the Cornet light attenuation model was used to calculate APRPC.
3.3 Effect of the average number of photons received per cell on the growth rate of Synechocystis sp. PCC 6803
Cornet light attenuation model was used in the formula (4) to calculate the volume average light intensity. Then according to the formula (5), APRPC at nearly 24 hours of the above four groups at different incident light intensity was calculated, and specific data was shown in Table 2. APRPC decreased continuously with the increase of cultivation time under certain incident light intensity, which was caused by the increase of the microalgae cell number and the gradually intensificated light attenuation in the PBR.
The data in Table 2 were plotted with the cell specific growth rate (μ) in the corresponding time, and a good linear relationship was found between them, as shown in Figure 4. When APRPC was lower than 10-6 μmol/cell, the specific growth rate of Synechocystis sp. PCC 6803 increased with APRPC. When APRPC was in the range of 10-6 μmol/cell to 4×10-6 μmol/cell, the specific growth rate of Synechocystis sp. PCC 6803 reached a peak of about 0.05 h-1. When APRPC exceeded 4×10-6 μmol/cell, the specific growth rate of Synechocystis sp. PCC 6803 decreased gradually. Therefore, APRPC can be used as an indicator related to microalgae growth in the cultivation of Synechocystis sp. PCC 6803, and the maximum specific growth rate of microalgae can be maintained by controlling APRPC in the range of 10-6 to 4×10-6 μmol/cell in the cultivation process. For indoor culture, appropriate APRPC can be controlled by changing the incident light intensity during the cultivation process to maintain the high specific growth rate of microalgae cells and ultimately improve the yield of Synechocystis sp. PCC 6803. Besides, APRPC could be kept at 10-6 μmol/cell to maintain the highest specific growth rate of microalgae with minmum light energy consumption. For outdoor conditions, although the external solar radiation source can not be controlled, maintaining the optimal APRPC by shading (supplementary light) or regulating the density of microalgae cells can also promote the growth of microalgae cells.
3.4 Verification of the effect of APRPC on the growth of Synechocystis sp. PCC 6803
According to the conclusion in Section 3.3, the optimal APRPC of microalgae was ranged from 10-6 to 4×10-6 μmol/cell. Light intensity regulation experiments were carried out in the laboratory to verify the reliability of this method. In the experimental group, the incident light intensity was constantly adjusted within the range of 10-6 to 4×10-6 μmol/cell every 12 h in the first 72 h, and remained unchanged after the incident light intensity was adjusted to 1800 μmol/(m2·s) ( the regulation process is shown in Figure 5). The two control groups were fixed with 100 and 1800 μmol/(m2·s) light intensity, respectively. Figure 6 showed the dry cell weight and APRPC of three experimental groups. As can be seen from the figure, APRPC of the low light intensity control group and the experimental group were in the range of 10-6 to 4×10-6 μmol/cell from 0 to 24 h, so roughly the same dry cell weight was observed in the bigining 24 h; while APRPC of the high light intensity control group was more than 4×10-6 μmol/cell, a growth inhibition was observed. Therefore, the dry cell weight in the high light intensity control group was lower than the other two groups. According to this phenomenon, the external incident light intensity could be adjusted to avoid the growth retardation of microalgae caused by light inhibition when the concentration of microalgae was low. From 24 to 60 h, APRPC of the experimental group was maintained at about 10-6 μmol/cell, while ACRPC of the low light intensity control group was gradually lower than 10-6 μmol/cell, so the dry cell weight of the experimental group gradually exceeded that of the low light intensity control group. From 60 to 84 h, APRPC of the high light intensity control group also reached within the range of 10-6 to 4×10-6 μmol/cell, leading an increse in specfic growth rate, and the dry cell weight gradually exceeded the low light intensity control group.
In terms of microalgae production, after 156 h cultivation, the dry cell weight of the experimental group reached 1.55 g/L, 79.1 % higher than the low light intensity control group under the same culture time, and 20.0 % higher than the high light intensity control group. Before this, Zhang et al. (2010) also cultivated Synechocystis sp. PCC 6803 in a column PBR with a tube diameter of 70 mm and fixed external light intensity at 108 μmol/(m2·s). After 144 h, the biomass reached 1.35 g/L and the microalgae yield was 8.96 mg/(L·h). In this study, the yield of the experimental group reached 10.35mg/(L·h) within 144 h, which was 15.5 % higher than Zhang’s research. Hence, adjusting light intensity by controlling appropriate APRPC was an effective method to improve the yield of Synechocystis sp. PCC 6803.
3.5 Optimization of incident light intensity of column PBR with different tube diameters based on APRPC
According to the above analysis, the specific growth rate of microalgae reached the peak when the APRPC was within the range of 10-6 to 4 ×10-6 μmol/cell. When microalgae were cultivated, the yield of microalgae could be increased by adjusting the external light intensity according to APRPC. Considering the different types and sizes of the PBRs used for microalgae cultivation, the external incident light intensity of the column PBRs with tube diameters of 40, 60, 80, 100 and 120 mm was optimized in this section under specific microalgae concentration, and the final results were shown in Table 3. Under the same tube diameter, the optimal incident light intensity increased gradually with the increase of microalgae concentration to achieve the maximum specific growth rate. For example, when the tube diameter was 40 mm, the optimal incident light intensity was from 32.1 to 108.3 μmol/(m2·s) when the dry cell weight was 0.1 g/L. When the density of microalgae liquid reached 1.0 g/L, the optimal light intensity increased to the range from 454.4 to 1817.7 μmol/(m2·s). Under the same dry cell weight, the larger the tube diameter, the higher the optimal incident light intensity, which was especially obvious at a high dry cell weight. Taking the dry cell weight of 1.0 g/L as an example, when the tube diameter was 40 mm, the optimal incident light intensity was from 454.4 to 1817.7 μmol/(m2·s). When the tube diameter was 120 mm, the optimum light intensity was rapidly increased to the range from 12,426.4 to 49705.8 μmol/(m2·s). Therefore, the PBR with a smaller tube diameter can be selected to obtain a high specific growth rate in indoor cultivation. In outdoor conditions where light intensity was up to 2000 μmol/(m2·s), the solar radiation intensity will be much higher than the optimal incident light even if the large PBR diameter at low dry cell weight, so a higher cell density and necessary shading should be adopted. Unfortunately, light limitation occuerred with the incresing dry cell weight , thus adequate dilution was necessary to be adopted according to dry cell weight and PBR diameters.