基于三种数学模型的药用甘草种子灌浆特性研究
Study on Filling Characteristics Medicinal Licorice Seeds Based on Three Mathematical Models

为了能够更准确地获取灌浆特征参数反映种子灌浆特性，用于描述甘草籽粒灌浆过程。选用Cubic多项式、Richards和Logistic方程三种数学模型，建立3种药用甘草(甘草、胀果甘草和光果甘草）的种子灌浆表达式。结果表明，用DPS (Date Processing System)软件建立的Richards方程拟合效果最好，其决定系数高于其他方法。此外，假设药用甘草籽粒起始粒重达到最大理论粒重的1.61%为籽粒灌浆起始期，Richards方程建立得到的理论最大粒重与实际灌浆终止粒重值最为相近。最大灌浆速率到达时间T_max和最大灌浆速率V_max在三种数学模型下较为接近，其他参数存在差异。3种药用甘草的灌浆特性有所不同，但在不同数学模型下其各自的灌浆规律基本一致。相关性分析表明3种药用甘草的粒重与快增期持续天数呈显著正相关关系。
In order to obtain the filling characteristic parameters more accurately and reflect the filling characteristics of seeds, it can be used to describe the filling process of licorice grain. The Cubic polynomial, Richards and Logistic equations were used to establish the mathematical expressions of seed filling of three kinds of medicinal glycyrrhiza (Glycyrrhiza liquorice, Glycyrrhiza inflata, Glycyrrhiza glabra). The results show that the Richards equation established by DPS (Date Processing System) software has the best fitting effect, and its coefficient R² is higher than other methods. Furthermore, assuming that the initial grain weight of medicinal liquorice was 1.61% of the maximum theoretical grain weight, the theoretical maximum grain weight established by Richards equation was the closest to the actual grain weight at the end of filling. The maximum grouting rate arrival time T_max and maximum grouting rate V_max are similar under the three mathematical models, but other parameters are different. The grouting characteristics of the three kinds of medicinal licorice were different, but their grouting rules were basically the same under different mathematical models. Correlation analysis showed that the grain weight of three kinds of medicinal liquorice was significantly positively correlated with the duration of rapid growth period.