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The presentation explains the principles of DNA database searching via a likelihood ratio model.
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24 April 2012
Searching DNA databaseswith complex DNA profiles: the SmartRank project
Hinda [email protected]
DNA mixtures
I A large number of traces recovered from crime stains aremixtures
I Up to two distinct alleles per contributor
I As few as a single allele: allele sharing
Searching DNA databases with complex profiles — November 2013 1
Mixture analysis: a difficult task
I What genotypes created themixture?
• Individual 1 : 13/15• Individual 2 : 14/17
Or• Individual 1 : 13/17• Individual 2 : 14/15
Or• Individual 1 : 13/15• Individual 2 : 14/17• Individual 3 : 15/15
Large number of potential genotypes consistent with the mixture.
Searching DNA databases with complex profiles — November 2013 2
ENFSI recommendation
If possible, mixed DNA-profiles should be interpreted and designatedinto their contributing DNA-profiles. Mixed profiles from (known)victims and (unknown) donors sometimes can be resolved becausethe alleles of the DNA-profile of the victim can be subtracted fromthe mixed profile. The remaining alleles must belong to the unknowndonor.
Searching DNA databases with complex profiles — November 2013 3
Basic deconvolution method: Binary model
I Manual method for the resolution of two-person mixtures. Itrelies upon the experience of the expert along with theapplication of a number of numerical guidelines
Searching DNA databases with complex profiles — November 2013 4
Two person-mixture
I Significant differences in contribution
I Major and Minor profiles can be deduced
I Drop-out from the minor is deemed possible
Searching DNA databases with complex profiles — November 2013 5
Two person-mixture
Major 13,13 14,17 11,11 16,18Minor 14,15 16,16 9,9 19,20
Searching DNA databases with complex profiles — November 2013 6
Complex mixtures
I At least three people involved
I One major (victim), possibly two minors
I Drop-out is deemed possible
Searching DNA databases with complex profiles — November 2013 7
Complex mixtures
I Binary model cannot be applied to high order mixturesI Consequences for data base search:
• Mixed profiles cannot be fully exploited• A person of interest could be in the database, but the
genotype of the minors cannot be deduced
I Perform search with all alleles or with ‘required alleles’ thatmay have come from the person of interest. However:
• Searching with mixtures: increased risk of spurious associations• Risk of reporting a ‘numerical match’: inconsistency with ratio
of contribution in the questioned sample
Solution: Likelihood ratio framework
Searching DNA databases with complex profiles — November 2013 8
The likelihood ratio framework
I Development of a likelihood-ratio model enabling theinterpretation of complex DNA samples:
• DNA mixtures: multiple donors• Low template DNA samples: allele drop-out (missing allele)
and allele drop-in (spurious allele)
I Haned et al, Forensic Sci. Int. Genet. 2012
I Gill & Haned, Forensic Sci. Int. Genet. 2013
Searching DNA databases with complex profiles — November 2013 9
The likelihood ratio framework
LR =Probability of the evidence under prosecution hypothesis
Probability of the evidence under defense hypothesis
I LR = 1: evidence is neutral
I LR > 1: the evidence suppports the prosecution hypothesis
I LR < 1: the evidence suppports the defense hypothesis
Searching DNA databases with complex profiles — November 2013 10
Likelihood ratios and mixtures
I Two alternative hypotheses:• Prosecution hypothesis: the victim, the suspect and one
unknown are the donors• Defense hypothesis: the victim and two unknowns are the
donors
The probability of the evidence is 125,000 more likely if theprosecution hypothesis is true than if the defense hypothesis is true.
Searching DNA databases with complex profiles — November 2013 11
Requirements for LR calculations
I Formulate hypotheses:• Hp: Victim, the individual in the database and one unknown
are the donors• Hd: Victim, and two unrelated unknowns are the donors
I Evaluation of drop-in and drop-out levels
Searching DNA databases with complex profiles — November 2013 12
LRs and database search
Searching DNA databases with complex profiles — November 2013 13
LRs and database search
Searching DNA databases with complex profiles — November 2013 14
LRs and database search
Searching DNA databases with complex profiles — November 2013 15
LRs and database search
Searching DNA databases with complex profiles — November 2013 16
LR distribution for ranked genotypes
Searching DNA databases with complex profiles — November 2013 17
LR distribution for ranked genotypes
Person of interest outlier with
LR >> 109
Searching DNA databases with complex profiles — November 2013 18
Feasibility study: experimental set-up
Searching DNA databases with complex profiles — November 2013 19
Successful extractions rates
Two-person mixtures: % of profiles with a given rankBins for ranks High drop-out Moderate drop-out Low drop-out1 5 58 941-50 11 94 1001-100 11 95 100
Three-person mixtures: % of profiles with a given rank1 0 19 301-50 0 62 941-100 0 72 99
Searching DNA databases with complex profiles — November 2013 20
False positives
False positives for two-person mixturesHigh drop-out Moderate drop-out Low drop-out
Min. 0 11 6Max. 234 1103 473
False positives for three-person mixturesMin. 0 4 124Max. 16 1722 2406
Searching DNA databases with complex profiles — November 2013 21
Limitations
Although complex mixtures can be searched in the database, bearin mind that the true perpetrator may not be in the database
I Hp: Victim, the individual in the database and one unknownare the donors
I Hd: Victim, and two unrelated unknowns are the donors
Probabilistic model ≡ data intelligence
Searching DNA databases with complex profiles — November 2013 22
Future work
I Implementation guidelines:
• Extraction efficiency: to be increased by improving LR-modelparameters
• Robustness of the model vs. partiality of the profiles
I User-friendly free software:• SmartRank software project• Supported by ENFSI Monopoly 2013 project (starting in 2015)• To be distributed for free on-line
Searching DNA databases with complex profiles — November 2013 23