烟草样品等温吸湿模型的比较与分析

为了筛选出适合不同烟草样品的等温吸湿模型，从食品等温吸湿研究领域的众多模型中选择了14种常用的数学模型，包括理论模型8种:BET模型、GAB模型、Kühn模型、Smith模型1（非溶胀材料）、Smith模型2（溶胀材料）、Harkins模型、Hailwood模型和Lewicki模型，经验/半经验模型6种:Peleg模型、Ferro Fontan模型、DLP模型、Konstance模型、Oswin模型和Polynomial模型，对12个不同类型烟草样品的实验数据进行拟合，通过决定系数（R2）和平均相对误差（MRE）对模型的拟合效果进行了评价，并用18个不同类型的烟草样品对优选模型进行了验证。结果表明，GAB和DLP模型具有较好的普遍适用性，可分别作为烟草样品等温吸湿研究领域的理论模型和经验/半经验模型进行推广应用。 

Comparative analysis of selected isothermal moisture absorption models applied to tobacco samples

In order to determine appropriate isothermal moisture absorption models for different tobacco samples, 14 kinds of moisture sorption isotherms widely used in food research, including 8 theoretical models:BET model, GAB model, Kühn model Smith model1(non-swellable material), Smith model 2(swellable material), Harkins model, Hailwood model, and Lewicki model, as well as 6 empirical/semi-empirical models:Peleg model, Ferro Fontan model, DLP model, Konstance model, Oswin model and Polynomial model, were selected for curve fitting of 12 different tobacco samples. Fitting results of these models were evaluated by coefficient of determination (R2) and mean relative error (MRE). Furthermore, optimized models were validated by using 18 tobacco samples. Results indicated that GAB model and DLP model, both had strong general applicability, could be used as theoretical model and empirical/semi-empirical model in moisture sorption research in tobacco samples.