Modelling cell generation times by using the tempered stable distribution
Modelling cell generation times by using the tempered stable distribution
复制标题
使用调节稳定分布对细胞世代时间进行建模
DOI：
10.1111/j.1467-9876.2008.00625.x
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
B. Morgan
中科院分区：
文献类型：
--
作者：
K. Palmer;M. Ridout;B. Morgan
总结：我们表明，家庭的回火稳定分布有相当大的潜力，为细胞世代时间数据建模。 几个真实的例子说明了这些分布如何改善当前假设的模型，包括作为特殊情况出现的伽马分布和逆高斯分布。我们的应用集中在少突胶质细胞祖细胞和酵母酿酒酵母的代次。概率密度函数的拉普拉斯变换的数值反演提供了对回火稳定密度的快速和准确的近似，对于回火稳定密度，通常不存在封闭形式。我们还展示了如何渐近人口增长率很容易计算下回火稳定模型。
Summary. We show that the family of tempered stable distributions has considerable potential for modelling cell generation time data. Several real examples illustrate how these distributions can improve on currently assumed models, including the gamma and inverse Gaussian distributions which arise as special cases. Our applications concentrate on the generation times of oligodendrocyte progenitor cells and the yeast Saccharomyces cerevisiae. Numerical inversion of the Laplace transform of the probability density function provides fast and accurate approximations to the tempered stable density, for which no closed form generally exists. We also show how the asymptotic population growth rate is easily calculated under a tempered stable model.