Mathematical Sciences: Genome Dynamics: Stochastic Modeling of Variable Gene Copy Numbers

首席研究人员将把基因放大的模型扩展到有新的实验证据的情况。基因扩增的一些方面需要考虑的是染色体外片段的整合，不等染色单体交换，以及染色体末端端粒中可变长度的重复序列。要使用的数学模型将包括分支过程和随机游动。这些模型将用于估计事件的概率和转换率。首席研究员将开发新的遗传学数学模型。这项工作的目标将是测试基于先前提出的非正式生物学模型的数学模型是否足以定量地再现实验观察，提供对分子过程的更好理解，并提出将提供信息的新实验。

The principal investigator will extend the modeling of gene amplification to situations in which there is new experimental evidence. Some of the aspects of gene amplification to be considered are integration of extrachromosomal fragments, unequal chromatid exchange, and variable length of repeats in telomeres at the ends of chromosomes. The mathematical models to be used will include branching processes and random walks. The models will be used to estimate the probabilities and transition rates of the events. The principal investigator will develop new mathematical models in genetics. The goals of this work will be to test if mathematical models based on previously proposed informal biological models are sufficient to reproduce experimental observations in quantitative detail, to provide a better understanding of the molecular processes, and to suggest new experiments which would be informative.