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甲基化定量

甲基化定量

作者: 小折线 | 来源:发表于2019-03-08 11:18 被阅读0次

    Methylation

    The 450k probe uses two probe to test the methylation. One for methylated and one for unmethylated. (red channel and green channel). Then the data from this two channels will be converted into

    • a \beta value which varies between 0 to 1, the higher it is, more methylated.
    • or M value, which had positive and negative values (0 means half methylated).

    Quantification


    These two ways to quantify the methylation level can be acheived by function ratioConvert in package minfi:
    \beta_i= \frac{max(y_imeth,0)}{max(y_imeth,0) + max(y_iunmeth,0) + \alpha}

    \alpha by default is 100

    M_i = log_2( \frac{max(y_i,meth,0)+\alpha}{ max(y_i,unmeth,0)+\alpha })

    this \alpha, by default is 1

    Model


    The model it uses is
    Y_{ij} = \beta_0(l_j) + x_i \beta_1(l_j) + \epsilon_{ij}

    • \beta_0(l_j) is the baseline methylation depended on the specific location j
    • \beta_1(l_j) is the effect at the j-th position
    • \epsilon_{ij} is the measurement error.
    • Y_{ij} is the oberved methylation value

    And in a case control study, the x is the case or control category, which is 0 or 1 (0 for control or 1 for case)

    Note:

    1. this \beta_1 is not the same \beta from the quantification section. this \beta_1 is the fitted coefficiency of how the methylaion changes along with the x_i (In fact, the Y_{ij} here is the \beta in line one, the obverved methylation value)

    2. The x doen't has to be a binary factor. For instance, it can be the continuous age in the study to look into the relationship between age and methylation.


    After fitting, we will have the \beta_1 value (fitted coef) that represent the effect size at that position. with the beta values,(actually termed estimate \hat{\beta}s, pronounced estimate beta hats) we will try to determine the differential methylated regions (DMR) with statistic significance.

    But how to identify and summarize each bump.


    First, we will set a threshold for the beta hats, bumps above the threshold will be considered a candidate. The we will summerize the data by

    1. calculate the area under the curve
    2. keep two paras (length and height)

    Then, we will test the bump by permutation or bootstrap, to calculate that under the null hypothesis, what area we would get and how likely we will get the observed bump or larger by chance

    To identify the effect brought by our factors of interested, we commonly identified the differential methylation at three levels:

    1. each CpG
    2. DMR (Differential Methylated Region)
    3. differential methylated blocks (it is larger scale than DMR)

    This an on-going research and there is no best practical method for this

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