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C H Brenner

Publications and source records attributed to C H Brenner.

5 recordsLinked to original sources

Symbolic kinship program.

This paper discusses a computerized algorithm to derive the formula for the likelihood ratio for a kinship problem with any arbitrarily defined relationships based on genetic evidence. The ordinary paternity case with the familiar likelihood formula 1/2q is the commonest example. More generally, any miscellaneous collection of people can be genetically tested to help settle some argument about how they are related, what one might call a "kinship" case. Examples that geneticists and DNA identification laboratories run into include sibship, incest, twin, inheritance, motherless, and corpse identification cases. The strength of the genetic evidence is always described by a likelihood ratio. The general method is described by which the computer program finds the formulas appropriate to these various situations. The benefits and the interest of the program are discussed using many examples, including analyses that have previously been published, some practical problems, and simple and useful rules for dealing with scenarios in which ancestral or fraternal types substitute for those of the alleged father.

Algorithms

Likelihood ratios for mixed stains when the number of donors cannot be agreed.

Suppose that part of the prosecution's evidence in some crime case is analysis of a blood stain, and that the traits E discovered in the stain suggest multiple donors. Then the prosecution will probably allege some specific inculpatory hypothesis H0 about the sources of the stain, and P (E [symbol: see text] H0) can be calculated. It is desirable to use this as the numerator of a likelihood ratio. However, in general the obvious denominator P (E [symbol: see text] approximately H0) cannot be calculated, so unless the defense is sufficiently obliging as to stipulate to a specific choice among the potentially infinite number of more or less exculpatory alternative hypotheses, the desired likelihood ratio can't be evaluated. We show that nonetheless, in most cases there is an adequate inequality.

Blood Donors

Calculation of paternity probabilities from multilocus DNA profiles.

We describe a procedure for evaluation of paternity evidence from multi-locus DNA probe patterns. A computer program abstracts a "+/-" notation description from the multilocus profile and then calculates a paternity index based on observed phenotypic fragment frequencies. The biostatistical evaluation considers only bands found in the child and missing from the mother--a simplified approach that is at once robust and conservative. Mutations are of course taken into account. Particular features lending objectivity to the interpretation include computer reading and matching decisions, and specific recognition and statistical compensation for ambiguities ("faint orphans").

Chromosome Banding

A note on paternity computation in cases lacking a mother.

When the mother is unavailable for parentage testing, a calculation must usually be based on types determined for the child and the alleged father. Particularly in the case of DNA typing, the formula is easy to derive. The correct formula is apparently not widely known, however, and in fact, a formula that is obviously incorrect seems often to be used and quoted. The correct method of derivation is indicated, and formulae are given for the various possibilities for patterns of gene-sharing between child and alleged father. In most cases paternity = 1/4Pr(shared allele) is an adequate formula.

Biometry