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Table 5 Notation table

From: An effective method to resolve ambiguous bisulfite-treated reads

Symbol

Definition

M

One of the multireads

G

The reference genome

\({M}_{k}\)

The k-th base of the multiread M

\({G}_{s}\)

The s-th base of the reference genome G

\({U}_{lt}\)

The t-th base on the l-th overlapped unique reads

\({S}_{j}\)

Probability of M aligned to the j-th position of G

\({{\varepsilon }_{k}}\)

Probability of sequencing errors in \({M}_{k}\)

\({{\varepsilon }_{lt}}\)

Probability of sequencing errors in \({U}_{lt}\)

loss

A global loss function

WinLen

The certain length we defined

a[i]

Actual coverage of every locus in WinLen

\(\overline{x}\)

The average depth of coverage from 0 to \(WinLen-1\)

\({S}_{{{M}_{k}}{{G}_{s}}}\)

Probability of aligning \({M}_{k}\) to \({G}_{s}\), related to the base \({M}_{k}\) and \({G}_{s}\)

\(P({{M}_{k}},{{G}_{s}})\)

Part of \({S}_{{{M}_{k}}{{G}_{s}}}\). The probability of observing \({M}_{k}\) for a given base \({G}_{s}\)

\(Score({{M}_{k}},{{G}_{s}})\)

Part of \({S}_{{{M}_{k}}{{G}_{s}}}\). A similar score between \({M}_{k}\) and \({G}_{s}\)

\(S[{{G}_{s}}]\)

Total similar score when the base of the reference genome is \({G}_{s}\)

\({S}_{{{M}_{k}}{{U}_{t}}}\)

Probability of aligning \({M}_{k}\) to the l-th overlapping unique reads \({{U}_{t}}\)

\({S}_{{{M}_{k}}{{U}_{lt}}}\)

Probability of aligning \({M}_{k}\) to all overlapping unique reads \({{U}_{lt}}\)

\(P({{M}_{k}} \rightarrow {{U}_{lt}})\)

Probability of no sequencing errors occurring in both \({M}_{k}\) and \({{U}_{lt}}\)

\(Score({{M}_{k}},{{U}_{lt}})\)

Part of \(P({{M}_{k}} \rightarrow {{U}_{lt}})\). A similar score between \({M}_{k}\) and \({{U}_{lt}}\)