Comparison between the modified Gompertz and Churchill death models in modelling the growth of cell culture from leaf-derived cell suspension of Barringtonia racemose
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引用次数: 0
Abstract
The growth of plant cell suspension culture often is observed to show a declining phase. Commonly used growth models such as can be used to model sigmoidal growth curves but do not fit curves showing a declining or death phase. In this study, the growth curves of Barringtonia racemose cell suspension under light and dark conditions were modelled according to the Churchill model, which incorporates growth and decline phases, and was compared to the popular modified Gompertz model. For both growth conditions, the Churchill model gave better results for the error functions Root Mean Square Error, the coefficient of determination, adjusted coefficient of determination, bias factor and accuracy factor with the exception of the corrected Akaike Information Criterion (AICc). The regressed parameters or constants obtained from the Churchill model shows growth and decline rates with higher values for the growth rate compared to the decline rates for both growth conditions. The decline and growth rate parameters signify as ï¬1 and ï¬2 for growth under light conditions were 0.367 (95% confidence; 0.103 to 0.632) and 0.796 (95% confidence; 0.458 to 1.134), respectively, while the decline and growth rate parameters ï¬1 and ï¬2 for growth under dark conditions were 0.158 (95% confidence; 0.314 to 0.629) and 1.491 (95% confidence; -0.809 to 3.720), respectively. The 95% confidence interval values were overlapped for both growth rate parameters under light, and dark conditions are indicating that the differences observed were not significant.
在植物细胞悬浮培养过程中,经常观察到细胞生长呈衰退期。常用的增长模型(如)可用于模拟s型增长曲线,但不能拟合显示下降或死亡阶段的曲线。本研究采用丘吉尔模型(Churchill model)建立了Barringtonia总状细胞悬液在光照和黑暗条件下的生长曲线,该模型包含了生长和衰退两个阶段,并与目前流行的改良Gompertz模型进行了比较。在两种生长条件下,除修正的赤池信息准则(Akaike Information Criterion, AICc)外,丘吉尔模型对误差函数均方根误差(Root Mean Square error)、决定系数(coefficient of determination)、调整后的决定系数(coefficient of determination)、偏差因子(bias factor)和精度因子(accuracy factor)均有较好的结果。从Churchill模型得到的回归参数或常数显示了增长率和递减率,增长率的值高于两种增长条件下的递减率。在光照条件下生长的下降速率和生长速率参数分别表示为ï和ï,分别为0.367(95%置信度;0.103 ~ 0.632)和0.796(95%置信度;为0.458 ~ 1.134),暗条件下生长的衰减和生长速率参数ï′¬1和ï′¬2为0.158(95%置信度;0.314至0.629)和1.491(95%置信度;-0.809至3.720)。两个生长速率参数在光照和光照条件下的95%置信区间值重叠,表明观察到的差异不显著。