Sequencing random transgene insertions

[nathan hunkapiller]

For my genotyping needs, I would like to design an assay to discriminate alleles of wild type mice from those that have one and also two copies of a randomly inserted transgene that I created. Problem is I don't know where the insert landed.

I know the sequence of the insert and was hoping to sequence outward from the flanking ends. Are there good methods for sequencing directly from genomic DNA without performing PCR? I obviously can't design primers outside of the insert.