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5.3 Mapping: Locating Genes Along a Chromosome   145


                       Figure 5.13  Analyzing the results of a three-point cross.   Similarly, because recombinants for the vg–pr gene pair are
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                       (a) Results from a three-point testcross of F 1  females simultaneously   vg pr  and vg  pr, the interval between these two genes is
                       heterozygous for vg, b, and pr. (b) The gene in the middle must be
                       pr because the longest distance is between the other two genes:   252 + 241 + 13 + 9
                       vg and b. The most accurate map distances are calculated by                         × 100
                       summing shorter intervening distances, so 18.7 m.u. is a more          4197
                       accurate estimate of the genetic distance between vg and b than    = 12.3 m.u. (vg ↔ pr distance)
                       is 17.7 m.u.
                                                                           while the distance separating the b–pr pair is
                       (a)  Three-point cross results                                   131 + 118 + 13 + 9
                                                       +
                                                                  +
                                                                +
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                                                            +
                        P          vg b pr / vg b pr  vg  b  pr  / vg  b  pr +                 4197         × 100
                                                                                        = 6.4 m.u. (b ↔ pr distance).
                                                  +
                                                    +
                          (all identical)  vg b pr / vg  b  pr +
                        F 1
                                                                           These recombination frequencies show that vg and b are
                                                                           separated by the largest distance (17.7 m.u., as compared
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                        Testcross  vg b pr / vg  b  pr +  vg b pr / vg b pr  with 12.3 and 6.4) and must therefore be the outside
                                                                           genes, flanking pr in the middle (Fig. 5.13b). But as with
                                                                           the X-linked y and r genes analyzed by Sturtevant, the
                       Testcross     1779  vg b pr  Parental combinations for  distance separating the outside  vg and  b genes (17.7)
                                            +
                                              +
                       progeny       1654  vg b pr +  all three genes      does not equal the sum of the two intervening distances
                                            +
                                     252   vg b pr  Recombinants for vg relative to
                                              +
                                      241  vg b pr +  parental combinations for b and pr  (12.3 + 6.4 = 18.7). In the next section, we learn that the
                                            +
                                      131  vg b pr +  Recombinants for b relative to   reason for this discrepancy is the rare occurrence of dou-
                                              +
                                      118  vg b pr  parental combinations for vg and pr  ble crossovers.
                                       13  vg b pr +  Recombinants for pr relative to
                                            +
                                              +
                                       9   vg b pr  parental combinations for vg and b
                                     4197                                  Correction for double crossovers
                       (b)  Deduced genetic map                            Figure 5.14 depicts the homologous autosomes of the F 1
                         vg                     pr           b             females that are heterozygous for the three genes vg, pr, and b.
                                                                           A close examination of the chromosomes reveals the kinds
                            12.3 m.u.                6.4 m.u.                    = 18.7 m.u.  of crossovers that must have occurred to generate the
                                                                           classes and numbers of progeny observed. In this and sub-
                                          17.7 m.u.
                                                                           sequent figures, the chromosomes depicted are in late pro-
                                                                           phase/early metaphase of meiosis I, when there are four
                       phenotypes, indicating that the mutations are autosomal   chromatids for each pair of homologous chromosomes. As
                       recessive. In a testcross of the F 1  females with males hav-  we have suggested previously and demonstrate more rigor-
                       ing vestigial wings, black body, and purple eyes, the prog-  ously in Chapter 6, prophase I is the stage at which recom-
                       eny were of eight different phenotypes reflecting eight   bination takes place. Note that region 1 is the space between
                       different genotypes. The order in which the genes in each   vg and pr, and the space between pr and b is region 2.
                       phenotypic class are listed in Fig. 5.13a is completely arbi-  Recall that the progeny from the testcross performed
                       trary. Thus, instead of vg b pr, one could write b vg pr or vg   earlier fall into eight groups (review Fig. 5.13). Flies in the
                       pr b to indicate the same genotype. Remember that at the   two largest groups carry the same configurations of genes
                       outset we do not know the gene order; deducing it is the   as did their grandparents in the P generation: vg b pr and
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                       goal of the mapping study.                          vg   b  pr ; they thus represent the parental classes
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                          In analyzing the data, we look at two genes at a time   (Fig. 5.14a). The next two groups—vg  b pr and vg b  pr —
                       (recall that the recombination frequency is always a function   are composed of recombinants that must be the recipro-
                       of a pair of genes). For the pair vg and b, the parental combi-  cal products of a crossover in region 1 between vg and pr
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                                                                                                                       +
                                          +
                                                                   +
                                            +
                       nations are vg b and vg  b ; the recombinants are vg b  and   (Fig. 5.14b). Similarly the two groups containing vg  b pr
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                        +
                       vg  b. To determine whether a particular class of progeny is   and vg b  pr flies must have resulted from recombination
                       parental or recombinant for vg and b, we do not care whether   in region 2 between pr and b (Fig. 5.14c).
                                        +
                       the flies are pr or pr . Thus, to the nearest tenth of a map   But what about the two smallest groups made up of
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                                                                                               +
                                                                                     +
                       unit, the vg ↔ b distance, calculated as the percentage of re-  rare vg b pr  and vg  b  pr recombinants? What kinds of
                       combinants in the total number of progeny, is       chromosome exchange could account for them? Most
                                                                           likely, they result from two different crossover events oc-
                                  252 + 241 + 131 + 118   × 100            curring simultaneously, one in region 1, the other in region
                                          4197                             2  (Fig.  5.14d).  The  gametes  produced  by  such  double
                                  = 17.7 m. u. (vg ↔ b distance).          crossovers  still  have  the  parental  configuration  for  the
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