Table 3 Allele frequency in the mixture of maternal and fetal cell-free DNA

From: Inferring fetal fractions from read heterozygosity empowers the noninvasive prenatal screening

MM-FF

Prob

fA

AA-AA

\(p(p + qF_1)(p + qF_2)\)

\(1 - e_{AB}\)

AB-AB

\(pq(1 - F_1)(1 - F_2)\)

\(1/2 + 1/2(e_{BA} - e_{AB})\)

BB-BB

\(q(q + pF_1)(q + pF_2)\)

eBA

AA-AB

\(pq(p + qF_1)(1 - F_2)\)

\((1 - h/2)(1 - e_{AB}) + h/2e_{BA}\)

BB-AB

\(pq(q + pF_1)(1 - F_2)\)

\(h/2 + e_{AB} - h/2(e_{AB} + e_{BA})\)

AB-AA

\(pq(1 - F_1)(p + qF_2)\)

\((1/2 + h/2)(1 - e_{BA}) + (1/2 - h/2)e_{AB}\)

AB-BB

\(pq(1 - F_1)(q + pF_2)\)

\((1/2 - h/2)(1 - e_{BA}) + (1/2 + h/2)e_{AB}\)

  1. Fetal fraction (FF) is denoted by h. The column marked “Prob” is the probability of the joint genotypes in the first column. fA denotes frequency of A allele conditioning on joint genotypes, taking into account sequencing error.