[Multi-layer model for algal growth under different behaviors of nutritious salt]

According to the fact that different behaviors of nutrition at different medium layers would make obviously different effects on rate of algal growth in water system, we established a new numerical model of the algae growth by considering these effects from various nutrition concentrations in water environment, on the surface and inside of algae cell, and especially the effect of adsorption/desorption of nutrition on the surface of algal cell. The validation of the model parameters are carried out by numerical iterative calculation with experimental data of literature, and computation results show that the mean relative error between the actual measured values cited from literature and the numerical results of this model is less than 6.9% . Furthermore, the maximum absolute values of cumulative relative error of the model and the original model which doesn't consider effect on adsorption/desorption of nutrition are 11.7% and 34.18% respectively. Obviously, the model would fit well the actual measured data. The concentration of nutrition on the surface from the model computation shows the real change status of the algae absorb nutrition under alternate condition of light/dark, and at same time, the concentration varying of ATP inside algae cell would correlate to the concentration of nutrition in water environment and to the nutrition's condition of algae cell so that the cooperating relation between molecular layer and cell layer that has theory significance has been built.