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# Supplementary materials

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Supplementary materials

Let X denote the results of the BCR-ABL1 assay using ABL1 as the control gene (uncorrected values). In this case:

X= BCR− ABL1 ABL1+BCR−ABL1

(1)

On the other hand, let Y denote the hypothetical result of the BCR-ABL1 assay if the ABL1 amplicon would not suffer from the drawback of being common to both the ABL1 and the BCR-ABL1 gene (corrected value). Thus:

Y= BCR− ABL1 ABL 1

The mathematical correction described in this study is a way of estimating Y from X. To this end, divide both the numerator and the denominator of the righthand side in Equation 1, yielding the following expression:

X=

BCR− ABL1 ABL1 1+BCR−ABL1

ABL1 (2)

It can be seen that in this case, the desired ration between BCR-ABL1 and ABL1 (namely Y) becomes apparent. Thus, Equation 2 can be rewritten in the following form in terms of X (uncorrected) and Y (corrected) values:

X= Y

1+Y (3)

(2)

By expressing Y from Equation 3, the following formula results:

X= Y

1− y (4)

Thus, Equation 4 represents a mathematical correction which eliminates the undesired property of the ABL1 control gene of containing both malignant (BCR-ABL1) and non- malignant transcripts (ABL1).

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