07 meiosis - Statistical Analysis of Meiosis Mitosis and...

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Unformatted text preview: Statistical Analysis of Meiosis Mitosis and Meiosis Crossover and Recombina- tion Genetic Mapping Stochastic Modeling of Meiosis No- Chromatid- Interference Model No- Interference Model Crossover Interference Models Statistical Analysis of Meiosis PB HLTH C240D/STAT C245D/STAT 246 Sandrine Dudoit Division of Biostatistics and Department of Statistics University of California, Berkeley www.stat.berkeley.edu/~sandrine Spring 2009 Version: 19/01/2009, 22:06 Statistical Analysis of Meiosis Mitosis and Meiosis Crossover and Recombina- tion Genetic Mapping Stochastic Modeling of Meiosis No- Chromatid- Interference Model No- Interference Model Crossover Interference Models Outline 1 Mitosis and Meiosis 2 Crossover and Recombination 3 Genetic Mapping 4 Stochastic Modeling of Meiosis 5 No-Chromatid-Interference Model 6 No-Interference Model 7 Crossover Interference Models Statistical Analysis of Meiosis Mitosis and Meiosis Crossover and Recombina- tion Genetic Mapping Stochastic Modeling of Meiosis No- Chromatid- Interference Model No- Interference Model Crossover Interference Models Motivation Meiosis is a type of cell division that is essential for sexual reproduction and that determines the transmission of genetic material from parent to offspring. Crossover is a crucial meiotic phenomenon, whereby DNA is exchanged between homologous chromosomes. Crossover and the resulting varying degree of recombination between loci lead to a notion of distance along chromosomes and provide the basis of genetic mapping . Meiotic events lend themselves most naturally to stochastic modeling . Fisher (1952): ... beautifully randomized by the meiotic process . Statistical Analysis of Meiosis Mitosis and Meiosis Crossover and Recombina- tion Genetic Mapping Stochastic Modeling of Meiosis No- Chromatid- Interference Model No- Interference Model Crossover Interference Models Motivation Reasons for developing stochastic models for meiosis include summarizing data and knowledge on meiosis and crossover; improving the performance of genetic mapping methods which rely upon such models (e.g., for deriving genetic map functions); elucidating the molecular biology and biochemistry underlying meiosis and crossover (e.g., crossover and chromatid interference). Statistical Analysis of Meiosis Mitosis and Meiosis Crossover and Recombina- tion Genetic Mapping Stochastic Modeling of Meiosis No- Chromatid- Interference Model No- Interference Model Crossover Interference Models Cells and Chromosomes Figure 1: Eukaryotic cell. Statistical Analysis of Meiosis Mitosis and Meiosis Crossover and Recombina- tion Genetic Mapping Stochastic Modeling of Meiosis No- Chromatid- Interference Model No- Interference Model Crossover Interference Models Cells and Chromosomes Figure 2: Eukaryotic cell. Zooming in ... from chromosomes to DNA. Statistical Analysis of Meiosis Mitosis and Meiosis Crossover and Recombina- tion Genetic Mapping Stochastic Modeling of Meiosis No- Chromatid- Interference Model No-...
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07 meiosis - Statistical Analysis of Meiosis Mitosis and...

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