摘要
目的:用数学建模模拟激光辐照扁藻细胞的增殖情况,研究激光辐照微藻生物学效应的参数规律。方法:在不同激光参数条件下照射亚心形扁藻,分为不同照射剂量实验组,以各实验组的细胞增殖数目为建立模型数据源。根据单细胞藻类在培养过程中生长及繁殖的规律构造高斯生长曲线,构建线性双目标规划模型,利用逐步回归法从辐照激光参量及三者的衍生量中分别筛选出与细胞增殖数、生长速率相关度较大的参量,并利用模型优化软件得到最优策略。分析结果表明用构建模型对不同激光处理的微藻样本生长曲线的仿真,达较高拟合度,SSE:2.383e-005,R-square:0.9997,验证了模型的正确性。对于给定的激光波长和照射时间,可以预测辐射后扁藻藻种的平均生长速率和生长期的变化趋势。结论:数学建模可以作为寻找激光辐照微藻的参数与其生物学效应之间的规律的分析方法。
Objective： To simulate and model the cells proliferation of Platymonas subcordiformis irradiated by laser, so as to obtain the quantitative relationship between laser parameters and the effects of mircoalgae irradiated. Methods： Platymonas subcordiform is irradiated by different laser, and the cells proliferation to be observed in delay phase of mircoalgae growth, as a data source, and according to the characteristics of growth and reproduction of single-cell alga in cultured process, Gaussian growth curves are constructed, to fit the samples growth curve with least squares regression, and to predict mircoalgae growth trends. There are goodness of fitting for SSE： 2. 383e-005 ; R-square： 0. 9997. on building the linear twin objective programming model and analyzing by stepwise regression, the laser parameters which is in good correlation with the numbers of cells proliferation and the rates are screened from all, and a optimal strategy given by model optimization software （Lingo）. Conclusions： Base on mathematical model constructed, in delay phase of Platymonas subcordiformis, the quantitative relationship is obtained between laser irradiation parameters and the growing effects for stimulation or inhibition.
出处
《激光生物学报》
CAS
CSCD
2009年第5期596-598,640,共4页
Acta Laser Biology Sinica
基金
福建省科技厅项目(B0510010
2006J0021
2006F5026)
关键词
数学建模
高斯函数类
线性双目标规划
激光辐照
饵料微藻
mathematical model
gaussian function category
linear twin objective programming
laser irradiation
mircoalgae
