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24 April 2012
Searching DNA databases
with complex DNA
profiles: the SmartRank
project
Hinda Haned
h.haned@nfi.minvenj.nl
DNA mixtures
A large number of traces recovered from crime stains are
mixtures
Up to two distinct alleles per contributor
As few as a single allele: allele sharing
Searching DNA databases with complex profiles — November 2013 1
Mixture analysis: a difficult task
What genotypes created the
mixture?
• 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 designated
into their contributing DNA-profiles. Mixed profiles from (known)
victims and (unknown) donors sometimes can be resolved because
the alleles of the DNA-profile of the victim can be subtracted from
the mixed profile. The remaining alleles must belong to the unknown
donor.
Searching DNA databases with complex profiles — November 2013 3
Basic deconvolution method: Binary model
Manual method for the resolution of two-person mixtures. It
relies upon the experience of the expert along with the
application of a number of numerical guidelines
Searching DNA databases with complex profiles — November 2013 4
Two person-mixture
Significant differences in contribution
Major and Minor profiles can be deduced
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 16,18
Minor 14,15 16,16 9,9 19,20
Searching DNA databases with complex profiles — November 2013 6
Complex mixtures
At least three people involved
One major (victim), possibly two minors
Drop-out is deemed possible
Searching DNA databases with complex profiles — November 2013 7
Complex mixtures
Binary model cannot be applied to high order mixtures
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
Perform search with all alleles or with ‘required alleles’ that
may 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
Development of a likelihood-ratio model enabling the
interpretation of complex DNA samples:
• DNA mixtures: multiple donors
• Low template DNA samples: allele drop-out (missing allele)
and allele drop-in (spurious allele)
Haned et al, Forensic Sci. Int. Genet. 2012
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
LR = 1: evidence is neutral
LR > 1: the evidence suppports the prosecution hypothesis
LR < 1: the evidence suppports the defense hypothesis
Searching DNA databases with complex profiles — November 2013 10
Likelihood ratios and mixtures
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 the
prosecution hypothesis is true than if the defense hypothesis is true.
Searching DNA databases with complex profiles — November 2013 11
Requirements for LR calculations
Formulate hypotheses:
• Hp: Victim, the individual in the database and one unknown
are the donors
• Hd: Victim, and two unrelated unknowns are the donors
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 rank
Bins for ranks High drop-out Moderate drop-out Low drop-out
1 5 58 94
1-50 11 94 100
1-100 11 95 100
Three-person mixtures: % of profiles with a given rank
1 0 19 30
1-50 0 62 94
1-100 0 72 99
Searching DNA databases with complex profiles — November 2013 20
False positives
False positives for two-person mixtures
High drop-out Moderate drop-out Low drop-out
Min. 0 11 6
Max. 234 1103 473
False positives for three-person mixtures
Min. 0 4 124
Max. 16 1722 2406
Searching DNA databases with complex profiles — November 2013 21
Limitations
Although complex mixtures can be searched in the database, bear
in mind that the true perpetrator may not be in the database
Hp: Victim, the individual in the database and one unknown
are the donors
Hd: Victim, and two unrelated unknowns are the donors
Probabilistic model ≡ data intelligence
Searching DNA databases with complex profiles — November 2013 22
Future work
Implementation guidelines:
• Extraction efficiency: to be increased by improving LR-model
parameters
• Robustness of the model vs. partiality of the profiles
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

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DNA Mixture Analysis Using Likelihood Ratios

  • 1. 24 April 2012 Searching DNA databases with complex DNA profiles: the SmartRank project Hinda Haned h.haned@nfi.minvenj.nl
  • 2. DNA mixtures A large number of traces recovered from crime stains are mixtures Up to two distinct alleles per contributor As few as a single allele: allele sharing Searching DNA databases with complex profiles — November 2013 1
  • 3. Mixture analysis: a difficult task What genotypes created the mixture? • 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
  • 4. ENFSI recommendation If possible, mixed DNA-profiles should be interpreted and designated into their contributing DNA-profiles. Mixed profiles from (known) victims and (unknown) donors sometimes can be resolved because the alleles of the DNA-profile of the victim can be subtracted from the mixed profile. The remaining alleles must belong to the unknown donor. Searching DNA databases with complex profiles — November 2013 3
  • 5. Basic deconvolution method: Binary model Manual method for the resolution of two-person mixtures. It relies upon the experience of the expert along with the application of a number of numerical guidelines Searching DNA databases with complex profiles — November 2013 4
  • 6. Two person-mixture Significant differences in contribution Major and Minor profiles can be deduced Drop-out from the minor is deemed possible Searching DNA databases with complex profiles — November 2013 5
  • 7. Two person-mixture Major 13,13 14,17 11,11 16,18 Minor 14,15 16,16 9,9 19,20 Searching DNA databases with complex profiles — November 2013 6
  • 8. Complex mixtures At least three people involved One major (victim), possibly two minors Drop-out is deemed possible Searching DNA databases with complex profiles — November 2013 7
  • 9. Complex mixtures Binary model cannot be applied to high order mixtures 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 Perform search with all alleles or with ‘required alleles’ that may 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
  • 10. The likelihood ratio framework Development of a likelihood-ratio model enabling the interpretation of complex DNA samples: • DNA mixtures: multiple donors • Low template DNA samples: allele drop-out (missing allele) and allele drop-in (spurious allele) Haned et al, Forensic Sci. Int. Genet. 2012 Gill & Haned, Forensic Sci. Int. Genet. 2013 Searching DNA databases with complex profiles — November 2013 9
  • 11. The likelihood ratio framework LR = Probability of the evidence under prosecution hypothesis Probability of the evidence under defense hypothesis LR = 1: evidence is neutral LR > 1: the evidence suppports the prosecution hypothesis LR < 1: the evidence suppports the defense hypothesis Searching DNA databases with complex profiles — November 2013 10
  • 12. Likelihood ratios and mixtures 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 the prosecution hypothesis is true than if the defense hypothesis is true. Searching DNA databases with complex profiles — November 2013 11
  • 13. Requirements for LR calculations Formulate hypotheses: • Hp: Victim, the individual in the database and one unknown are the donors • Hd: Victim, and two unrelated unknowns are the donors Evaluation of drop-in and drop-out levels Searching DNA databases with complex profiles — November 2013 12
  • 14. LRs and database search Searching DNA databases with complex profiles — November 2013 13
  • 15. LRs and database search Searching DNA databases with complex profiles — November 2013 14
  • 16. LRs and database search Searching DNA databases with complex profiles — November 2013 15
  • 17. LRs and database search Searching DNA databases with complex profiles — November 2013 16
  • 18. LR distribution for ranked genotypes Searching DNA databases with complex profiles — November 2013 17
  • 19. LR distribution for ranked genotypes Person of interest outlier with LR >> 109 Searching DNA databases with complex profiles — November 2013 18
  • 20. Feasibility study: experimental set-up Searching DNA databases with complex profiles — November 2013 19
  • 21. Successful extractions rates Two-person mixtures: % of profiles with a given rank Bins for ranks High drop-out Moderate drop-out Low drop-out 1 5 58 94 1-50 11 94 100 1-100 11 95 100 Three-person mixtures: % of profiles with a given rank 1 0 19 30 1-50 0 62 94 1-100 0 72 99 Searching DNA databases with complex profiles — November 2013 20
  • 22. False positives False positives for two-person mixtures High drop-out Moderate drop-out Low drop-out Min. 0 11 6 Max. 234 1103 473 False positives for three-person mixtures Min. 0 4 124 Max. 16 1722 2406 Searching DNA databases with complex profiles — November 2013 21
  • 23. Limitations Although complex mixtures can be searched in the database, bear in mind that the true perpetrator may not be in the database Hp: Victim, the individual in the database and one unknown are the donors Hd: Victim, and two unrelated unknowns are the donors Probabilistic model ≡ data intelligence Searching DNA databases with complex profiles — November 2013 22
  • 24. Future work Implementation guidelines: • Extraction efficiency: to be increased by improving LR-model parameters • Robustness of the model vs. partiality of the profiles 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