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[突变过程动力学数学模型未知参数的贝叶斯估计以及培养物中经过不同分裂次数的细胞比例变化]

[Bayesian estimates of unknown parameters of mathematical models of the dynamics of the mutation process and changes in the ratio of cells having passed different numbers of divisions in a culture].

作者信息

Volkov I K

出版信息

Genetika. 1988 Apr;24(4):749-55.

PMID:2969349
Abstract

With the help of Bayesian methods, the conditions of solving experimental data samples and their divisions were established, equivalence of estimations of unknown linear dynamic models parameters proved, the estimations having been worked out by both accounting calculation errors and using their compensations with additional noise in the original model's discrete analog. The results are used in mathematical modeling of changing intensity of the process of hereditary pathology frequencies, and the process of changing the ratio of cells having passed different numbers of divisions in the culture.

摘要

借助贝叶斯方法,确立了解决实验数据样本及其划分的条件,证明了未知线性动态模型参数估计的等效性,这些估计是通过考虑计算误差并在原始模型的离散模拟中使用额外噪声进行补偿而得出的。这些结果被用于遗传病理学频率变化过程强度的数学建模,以及培养物中经过不同分裂次数的细胞比例变化过程的数学建模。

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