Estimating the life-span of oligodendrocytes from clonal data on their development in cell culture
Estimating the life-span of oligodendrocytes from clonal data on their development in cell culture
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DOI：
10.1016/j.mbs.2004.07.003
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发表时间：
2005-02-01
影响因子：
4.3
通讯作者：
Yakovlev, A
中科院分区：
文献类型：
--
作者：
Hyrien, O;Mayer-Pröschel, M;Yakovlev, A
本文提出了一种新的方法来分析细胞培养中少突胶质细胞发育的克隆数据。从前体细胞生成少突胶质细胞的过程被模拟为多型Bellman-Harris分支过程，如在早期的论文[K. Boucher，A. Zorin，A.Y.雅科夫列夫，M. Mayer-Proschel，M. Noble，细胞培养中少突胶质细胞生成的另一种随机模型，J.Math.Biol.43（2001）22]。该模型已被扩展到允许少突胶质细胞的死亡，以及不同的分布的第一有丝分裂周期持续时间相比，随后的周期的前体细胞，其长度被假定为独立和相同分布的随机变量。由于少突胶质细胞的时间跨度是不能直接观察到的克隆数据，合理的参数假设调用，使估计问题易于处理。特别地，细胞死亡的时间遵循双参数伽马分布，而细胞死亡事件和细胞解体事件之间的时间流逝被假设为指数分布。一个模拟的伪最大似然估计模型参数的方法已经开发出使用基于模拟的近似的预期数字和方差-协方差矩阵为不同类型的细胞。有限样本性质的估计过程进行了研究，通过计算机模拟。通过分析从大鼠视神经和胼胝体分离的O-2A祖细胞的克隆发育来说明所提出的方法。(c)2005年爱思唯尔公司All rights reserved.
This paper presents a new method to analyze clonal data on oligodendrocyte development in cell culture. The process of oligodendrocyte generation from precursor cells is modelled as a mufti-type Bellman-Harris branching process as suggested in an earlier paper [K. Boucher, A. Zorin, A.Y. Yakovlev, M. Mayer-Proschel, M. Noble, An alternative stochastic model of generation of oligodendrocytes in cell culture, J. Math. Biol. 43 (2001) 22]. This model has been extended to allow for death of oligodendrocytes as well as a dissimilar distribution of the first mitotic cycle duration as compared to the subsequent cycles of precursor cells, which lengths are assumed to be independent and identically distributed random variables. Since the time-span of oligodendrocytes is not directly observable in clonal data, plausible parametric assumptions are invoked to make estimation problems tractable. In particular, the time to cell death follows a two-parameter gamma distribution, while the lapse of time between the event of cell death and the event of cell disintegration is assumed to be exponentially distributed. A simulated pseudo maximum likelihood method for estimation of model parameters has been developed using simulation-based approximations of the expected numbers and variance-covariance matrices for different types of cells. Finite sample properties of the estimation procedure are studied by computer simulations. The proposed method is illustrated with an analysis of the clonal development of O-2A progenitor cells isolated from the rat optic nerve and the corpus callosum. (c) 2005 Elsevier Inc. All rights reserved.