A numerical method to process experimental data concerning plasmid stability of a recombinant bacteria during continuous cultures with nonselective media is proposed here. This method differs from previous ones in that it uses the derivatve form of the state equation of the Imanaka-Aiba model for recombinant cultures. The methodology proposed here allows one to estimate values for the two model parameters without forcing them to be constant. Until now, this could not be done using classical analytical techniques because these parameters have been considered invariable because of the integration used in the evaluation of the model. These parameters are (1) the difference in the specific growth rates between plasmid-carrying cells and plasmid-free cells (deltamu), and (2) the probability of plasmid loss by plasmid-containing cells (rho(r) mu(+)). The derivative technique used here is completed by mathematical treatments involving data filtering and smoothing. The values of the two parameters are in agreement with those already published. The current technique does not impose preconditions and permit us to further study related phenomena.

译文

:本文提出了一种数值方法,用于处理与非选择性培养基连续培养过程中重组细菌质粒稳定性有关的实验数据。该方法与以前的方法不同之处在于,它使用Imanaka-Aiba模型的状态方程的导数形式进行重组培养。这里提出的方法允许一个人估计两个模型参数的值,而不必强迫它们是恒定的。到现在为止,这不能使用经典的分析技术来完成,因为这些参数由于模型评估中使用的积分而被认为是不变的。这些参数是(1)质粒携带细胞和无质粒细胞之间的比生长速率的差异(deltamu),以及(2)含质粒的细胞(rho(r)mu()造成质粒丢失的概率。此处使用的导数技术是通过涉及数据过滤和平滑处理的数学处理完成的。这两个参数的值与已经发布的参数一致。当前的技术没有施加先决条件,并允许我们进一步研究相关现象。

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