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Moisture measurement in cheese analogue using stretched and multi-exponential models of the magnetic resonance T_2 relaxation curve

机译:使用拉伸和多指数磁共振T_2弛豫曲线模型测量干酪类似物中的水分

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The dairy industry would benefit from rapid and non-destructive determination of moisture content of cheese products. The two components primarily responsible for the low-field magnetic resonance (MR) spin-spin relaxation (T_2) signal of cheese products are fat and the water bound to protein. If the moisture component of the signal can be distinguished from the fat component, it should be possible to measure moisture using an MR sensor. Therefore, a key aspect of the development of an MR moisture measurement method is examination of techniques for analysis of T_2 relaxation curves. One common method of T_2 analysis of complex foods, such as cheese, is to fit multi-term exponential models to the curves. An alternative approach is proposed which uses stretched exponential models. The single-term stretched exponential model has been used for porous rock systems and polymers, but not for foods. The T_2 relaxation curves were analysed using both models and the results were compared. The number of unknowns in the three-term exponential and two-term stretched exponential models was reduced by assuming the relaxation curve of the fat component was the same as the relaxation curve of pure fat. In each model, one of the exponential terms described the behaviour of the water in the cheese analogue, while the remaining term or terms described the behaviour of the fat. For each model the T_2 relaxation time associated with the water was well correlated with moisture content. Coefficients of determination of the relaxation time versus moisture from each of the two models were nearly identical. The advantages and disadvantages of the two models are discussed.
机译:乳制品行业将受益于干酪产品水分含量的快速无损测定。奶酪产品的低磁场磁共振(MR)自旋-自旋弛豫(T_2)信号的两个主要成分是脂肪和与蛋白质结合的水。如果可以将信号的水分成分与脂肪成分区分开,则应该可以使用MR传感器测量水分。因此,MR水分测量方法发展的关键方面是对用于分析T_2弛豫曲线的技术的研究。 T_2分析复杂食物(如奶酪)的一种常用方法是将多项指数模型拟合到曲线。提出了一种使用扩展指数模型的替代方法。单项拉伸指数模型已用于多孔岩石系统和聚合物,但不适用于食品。使用这两个模型分析了T_2弛豫曲线,并比较了结果。通过假设脂肪成分的松弛曲线与纯脂肪的松弛曲线相同,可以减少三项指数模型和二项拉伸指数模型中的未知数。在每个模型中,一个指数项描述了奶酪类似物中水的行为,而其余一个或多个术语描述了脂肪的行为。对于每个模型,与水相关的T_2弛豫时间与水分含量密切相关。从两个模型中的每个模型确定的弛豫时间与湿度的系数几乎相同。讨论了两种模型的优缺点。

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