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NOAH ROSENBERG

Mathematical Models of Chromosome Evolution

Keywords: chromosome evolution, karyotypes, Markov chain Monte Carlo, Metropolis algorithm, stepwise mutation model, polyploidy, genome duplication, phylogenomics

Chromosomal mutation is an important process in evolution and speciation, but the rates of different types of chromosomal mutations such as fissions, fusions, and genome duplications have been difficult to assess. I propose to develop a general Markov chain Monte Carlo algorithm to estimate rates of different types of chromosomal changes. This algorithm will be capable of analyzing data as minimal as chromosome numbers of species within a clade of interest, but it will be able to make more accurate inference from genome-wide marker data. Output will be in the form of posterior distributions of mutation rates and inferred ancestral genomic configurations. The algorithm will be tested on groups for which data are mature (e.g., small mammals) to verify its accuracy, and it will then be used for phylogenetic predictions in less well-studied taxa. This project has applications to the determination of phylogenomic histories, to the improvement of phylogenetic methods, and to the assessment of the importance of macromutation in speciation. When applied to tumor cells, the algorithm will also be useful for estimating aneuploidy rates associated with certain cancers.

 
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