不同形态的营养盐在不同介质(层面)中会对藻类生长产生不同的影响,本研究构建了同时考虑水环境中、藻细胞膜界面上和藻细胞膜内营养盐浓度,尤其营养盐在藻细胞界面吸附/脱附作用的藻类生长数值模型,通过数值计算进行了参数率定和验证.结果显示,实验测试值与本模型计算值的平均相对误差小于6.90%,而且,本模型与未考虑营养盐吸附/脱附作用模型的最大绝对值累积相对误差分别为11.70%和34.18%.显然,本研究提出的这种藻类生长模型与实测数据吻合更好,能够更准确、合理和真实地描述藻类生长状态与变化趋势.本模型反映出的细胞膜界面浓度,体现了藻细胞在光暗交替情况下吸收营养盐的变化,同时表达了藻细胞内部ATP浓度的变化状态,使外界营养盐浓度同藻细胞自身营养状态之间,也就是在微观和中观层次之间建立起具有理论指导意义的相互关联作用.
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.