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382    Chapter 11    Analyzing Genomic Variation


              the T allele of the SNP. II-2, the unaffected mate of II-1,   family sizes are small, making it difficult to obtain suffi-
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              does not have the disease (so she is  NF /NF ), and the   cient data for precise mapping.
              DNA analysis indicates that she is homozygous for the G
              allele of SNP1. The children in generation III of the pedi-  The phase problem
              gree are thus in effect the progeny of a testcross. Examin-  You should note that the calculation just presented for the
              ing each child both for the presence or absence of the   map distance between the neurofibromatosis gene and
              disease and the SNP genotype will reveal whether the child   SNP1 does not include one of the crosses shown in the
              obtained a parental-type (nonrecombinant) or a recombinant-  pedigree: the mating of I-1 and I-2 (see Fig. 11.20). The
              type sperm from the doubly heterozygous father II-1.  reason is that we don’t know the configuration of the
                  As Fig. 11.20a shows, seven out of eight progeny in
              generation  III  resulted from  parental-type  sperm:  either     alleles (or phase) in the affected grandmother I-1. It is
                                                                   possible that her mutant NF allele was on the same chro-
              the combination of NF and G seen in the grandmother I-1,   mosome 17 as the G allele of the SNP, but it is also pos-
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              or the combination of NF  and T in the grandfather I-2.   sible that the SNP allele on this NF-bearing chromosome
              Only one of the children in generation III was the product   was instead T. Because we cannot say with certainty
              of a recombinant sperm (III-8, an affected son with NF   whether II-1 (her affected son) results from a parental-
              and the T allele of the SNP). The data thus strongly sug-  type or recombinant-type egg, we did not consider this
              gest that the neurofibromatosis gene and this particular   gamete in calculating the map distance.
              SNP are genetically linked, separated by a map distance   The phase problem can be resolved in either of two
              (1/8) × 100 = 12.5 cM.                               circumstances. First, if you know the genotypes of two loci
                  A family size of eight children is large by today’s stan-
              dards, but this number of progeny is still not sufficiently   in both of a person’s parents, sometimes you can determine
                                                                   which alleles came from one parent and which from
              large to achieve great statistical significance. Nonetheless,   the other. This is precisely how we knew that the phase in
              the most straightforward interpretation of the data is that   the double heterozygous father II-1 was  NF G/NF  T
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              the neurofibromatosis gene is located on chromosome 17,   (Fig.  11.20). So to determine the phase in I-1 by this
              within a region that extends roughly 12.5 Mb to either side   method,  we  would  need  to  have  genotyping  information
              of the SNP1 locus. Fig. 11.20b shows graphically how you   about her  affected parent. Second, if the two loci are suffi-
              can easily interpret the cross between II-1 and II-2 based on   ciently close together, you can infer the probable phase be-
              these provisional conclusions.
                                                                   cause the linked alleles should segregate with each other
                                                                   more often than not. In Fig. 11.20, where the parental
              Multipoint analysis                                  classes considerably outnumber the recombinants in gen-
              Microarray data include not just two-point information   eration III, you could have inferred the likely arrangement
                                                                   of alleles in the doubly heterozygous II-1 even if you had
              about linkage relationships between a disease gene and   no information about his parents.
              individual DNA loci, but also multipoint information
              about the behavior of millions of DNA loci with respect
              to each other. You saw in Chapter 5 the power of three-  Informative and noninformative crosses
              point crosses in fruit flies, but microarrays are like three-  Even if you know the phase in a doubly heterozygous
              point crosses “on steroids.” Researchers can now pinpoint     parent, a mating may not provide any useful information
              particular crossovers occurring during the production of a   about whether the two loci are linked. One example is seen
              single gamete to positions between two polymorphisms   in Fig. 11.21a, which again examines the mating between
              on the same chromosome. As you will see in Section 11.5,   male II-1 with neurofibromatosis and his unaffected part-
              this information in turn allows researchers to pinpoint dis-  ner II-2. However, we are now looking at a different SNP
              ease genes to short regions defined by mapped recombi-  locus (SNP2), where both parents are heterozygotes for the
              nation events.                                       alleles A and C. If a child were also a heterozygote for A
                                                                   and C, you would not be able to tell which parent contrib-
                                                                   uted the A and which the C, so you could not determine if
              Positional Cloning Has                               the child was the result of a parental or recombinant  gamete.
              Several Limitations                                  But if the child were a homozygote for either SNP2 allele,
                                                                   say of genotype AA, then you know both the egg and sperm
              For traits expressed in plants or small animals, researchers   must have carried the A allele.
              can easily set up crosses that generate hundreds of progeny   You should remember from Chapter 5 that the basic
              so as to allow accurate genetic mapping. But scientists do   requirement for genetic mapping is that at least one parent
              not direct human breeding, so not every mating between   must be a double heterozygote. Figure 11.21b emphasizes
              two people provides interpretable information about the   this crucial point by showing that if neither parent is a
              relative positions of any two given loci. In addition, human     double heterozygote, the cross cannot be informative.
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