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Somebody who understands science better than me should look over the whole thing, they've narrowed down the metabolite ratios that suggest ingestion vs contamination, but if you get coke in your hair I'm gonna go ahead and guess that a bath probably won't get it out.
The study you linked is fascinating. Thanks fren.
I can do a deep dive later, but the gist of the study is that a lab was able to "fool" a hair test by having people rub cocaine in their hair and leaving it untouched for 48h.
Surprisingly the scalp and hair produced some cocaine metabolites that are typically only produced in the liver. Even more surprisingly these cocaine breakdown products persisted for up to eight weeks.

Note that the BE/COC ratio actually climbs (!!!) from
below the 0.1 ratio cutoff (negative) at week one to
above the 0.1 ratio cutoff (positive)
three weeks after cocaine powder was applied to participants hair. Wild.
Could accidental cocaine contamination be what happened with Nick's daughter's hair? According to this study, yes it's possible. My own personal opinion is I think she ingested it , but if this study is valid, then hair contamination is a scientific possibility, however remote.
She would have had to have rubbed something like 20mg powder cocaine in her hair, and left her hair unwashed 48 hours or more.
There is a way, conveniently provided by the study authors, to differentiate between a contaminated hair sample and an authentic cocaine ingestion hair sample.

Note the highlighted lines containing cocaine metabolite ratios with extremely high sensitivity
( >0.98 ) and especially specificity ( =1.0 ). These ratios are definitively predictive of cocaine ingestion and can easily distinguish any contamination.
This poweful statistical prediction is achieved by calculating the following three cocaine metabolite ratios and comparing them to the cutoffs provided in the table.
• p-OH-COC/COC
• p-OH-BE/COC
• m-OH-BE/COC
These three metabolic ratios will give a fully definitive answer, because each one's specificity is so high (1.0), and therefore false positives are nearly impossible
by definition.
My challenge to Nick Rekieta is if he believes the government test is in error, that Nick immediately commission an independent hair test, and publish these three key metabolite ratios (p-OH-COC/COC, p-OH-BE/COC, and m-OH-BE/COC), along with all other concentration data and lab results to clear his family's name.
However , I think Nick
knows or suspects his daughter ingested cocaine, so he won't commission and publish an independent test with this state-of-the-art information.