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OBJECTIVES@#To derive general formulas for calculating commonly used kinship index (KI).@*METHODS@#By introducing the Kronecker symbol, the formulas used to calculate the same KI under different genotype combinations were summarized into a unified expression.@*RESULTS@#The general formulas were successfully derived for KI in various case situations, including the paternity index, full sibling index, half sibling index, avuncular index, grandpaternity index, first-cousin index, and second-cousin index between two individuals without or with the mother being involved; grandpaternity index between grandparents and a grandchild without or with the mother being involved; half sibling index between two children with two mothers being involved; full sibling index among three children; and half sibling index among three children with no, one, or two mothers being involved.@*CONCLUSIONS@#The general formulas given in this study simplify the calculation of KIs and facilitate fast and accurate calculation through programming.
Subject(s)
Female , Child , Humans , Paternity , Siblings , Genotype , Mothers , Models, GeneticABSTRACT
OBJECTIVES@#To derive the paternity index (PI) calculation formula of the alleged father (AF) when the AF is a relative (parent/child, siblings, grandparent/grandchild, uncle/nephew, first cousins) of the child's biological mother.@*METHODS@#For the case when the AF is related to the child's biological mother, the existence of the relationship in the numerator and denominator hypothesis of PI was considered. The genotype frequency of the AF was calculated by using the frequency formula in which the mother's genotype was considered, while the random male in the denominator was substituted as another relative of the mother's same rank. The PI calculation formula was derived to eliminate the effect of the relationship between AF and the child's biological mother.@*RESULTS@#When the AF and the biological mother have first, second and tertiary kinship, a more conservative PI was obtained from the PI calculation formula derived in this study compared with the PI calculation method which did not consider kinship.@*CONCLUSIONS@#The calculation method provided in this study can eliminate the effect of the relation of the AF and mother on the PI in incest cases, to obtain more accurate and conservative identification conclusions.
Subject(s)
Female , Humans , Male , Child , Paternity , Mothers , Genotype , FathersABSTRACT
Objective To establish a calculation software to determine paternity index(PI) in parentage testing and likelihood ratio (LR) in individual recognition.Methods Based on relevant industry standards and literature, using Visual Basic 6.0 to write the program.Results We successfully developed the calculation software for paternity index (PI) in parentage testing and likelihood ratio (LR) in individual recognition.Conclusion The calculation software can help staff to improve the calculation efifciency, and serve the forensic evidence.
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Objective To analyze a large number of Cumulative Paternity Index (CPI) data in Single-parentage identification with stochastic simulation method. Methods Using the software in Identifiler, PP18D, AGCU EX20, PP21, AGCU 21+1 system, 1 million groups of STR genotyping of parent-child were analyzed. The average rate of very low CPI (RVLCPI), the median of PI in every loci (MPI), and the average PI of 39 STR loci (PIsolo) were counted out. And calculation formula of the number of STR loci that need more testing (N) was derived. Results RVLCPI in Identiifler, PP18D, AGCU EX20, PP21, AGCU 21+1 system were 24.9%, 6.5%, 1.4%, 0.7%, 0.000 1%. On the premise of inclusion relations between every kits, the number of autosome STR loci is inversely proportional to RVLCPI. PIsolo was 1.843 2. There was a signiifcant positive correlation between MPI and PEduo (r=0.956, P<0.001). The formula of the number of STR loci that need more testing was N=?log1.843 2(10 000/P)?. Conclusion The result and the formula in this paper are effcient in single-parentage identiifcation.
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[Objective] To explore how to deal with the paternity test of complex adoption cases. [Method] Samples from 13 families, in which adoptive parents were suspected related to biological parents, were genotyped using "Identifder + Sinofder + Powerplex 16" combined system (D8S1179, D21S11, D7S820, CSFIPO, D3S1358, TH01, D13S317, D16S539, D2S1338, D19S433, VWA, TPOX, D18S51, D5S818, FGA, D6S1043, D12S391, PentaD, PentaE) followed by further statistical analysis. [Result] Among all 13 cases, 2 were completely accordance with the Mendel law, PI > 10 000. There found more than 3 inconsistent loci in 8 cases. And found 1～2 inconsistent loci in 3 cases, needed to test more STR loci until PI≥10 000. The half sibling index (HSI) was also calculated with ITO method. The adoptive parents of 2 cases were not excluded from a full sibling with biological parents. In addition, Y-STR loci were tested for 4 cases (father/son). Two adoptive fathers of them were not excluded from the paternal relationship with biological fathers. [Conclusion] The most (76.9%) of all (13) complex adoptive cases of paternity test could be drawn a definite conclusion with combined system of "Identifder + Sinefiler + Powerplexl6". Minority (23.1%) of them was not definite yet and needed testing more STIR loci. Meanwhile, we suggested adding Y-STR tests and providing HSI for reference.
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[Objective] To propose a criterion for making conclusions on paternity tests based on STR genotyping. [Method] To use binomial distribution formula to calculate minimal numbers of STR loci that must be tested for different scenarios in paternity testing. [ Results ] We proposed a set of criteria for making STR paternity testing conclusions. For triplet tests, concluded "paternity positive" for the following four cases when the cumulative paternity index (PI) was greater than 10 000: 1) no inconsistent STR locus was detected in 15 loci (PE > 0.571 4/locus) or 2) only one inconsistent STR locus was detected in 19 loci or 3) only two inconsistent STR loci were detected in 28 loci or 4) only three inconsistent STR loci were detected in 35 loci; otherwise, concluded "paternity negative" when at least four inconsistent STR loci had been detected. For single parent tests, concluded "paternity non-exclusive" for the following cases when the cumulative PI was greater than 10 000: 1) no inconsistent STR locus was detected in 18 loci (PE>0.411/locus) or 2) only one inconsistent STR locus was detected in 29 loci or 3) two inconsistent STR loci were detected in 41 loci; concluded "paternity negative" when three or more inconsistent loci were detected. [Conclusion] Our experience has proven that these criteria are robust in STR paternity testing.
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Since the information supplied by the paternity testing of alleged parents was less than that of standard triplet parentage testing,so the paternity index (PI) calculating methods of standard triplet parentage testing was not suitable for calculating the PI value of alleged parents.In order to establish a more precise method for calculating PI value of alleged parents with STR typing results,the first thing is to summarize the standard triplet PI calculating formulas according to the Essen Mller theory.These formulas are 1/p,1/2p,1/p+q,1/2p+2q.This article reports a new PI calculating method in case of paternity testing of alleged parents.Compared with other methods,the new method for calculating Y value either considering random man and random female or considering the alleged father(mother)and random female(man).
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The 87 cases of disputed paternity were analyzed.Among 87 cases,73(83.9~(96))were civil,14(16.1%)criminal.By testing of 12 blood group systems,25 alleged fathers were exclused while 76 alleged fathers were not exclused,in which RCP value were from 9.91% to 99.998% calculafed according to theEssen-M(?)ller theory.In this report the causes of the disputes blood groupsexcluded and the calculation of PI and RCP were discussed.
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Objective To search for an easy standardization p aternity testing method. Methods Based on nine completed da ta and stable tetranucleotide STR loci, 45 paternity cases were typed by using f luorescence labeling primer, multiplex PCR, higher sensitivity 377 DNA sequencer , and then the computer automatically collected the data and made analysis, STR loci alleles and genotypes were determined. Results Th ere was no relationship between alleged fathers and children in 21 cases. But in 24 cases the relationship could not be excluded. Conclusion The STR loci genescan method is convenient, time-saving, fast and has hig her sensitivity. The results are accurate and reliable.