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Solved Problems   169


                        b. The probability that he will have the antigen and ich-  Picking out the parental classes is easy. If all the other
                          thyosis (genotype: STS XG / Y) is 5/100.         classes are rare, the two most abundant categories are those
                                                 +
                        c.  Two classes of gametes exist that contain the ichthyo-  gene combinations that have not undergone recombination.
                                                         +
                          sis allele: STS XG (45%) and STS XG  (5%). If the to-  Next, two sets of two phenotypes should exist, one set cor-
                          tal number of gametes is 100, then 50 will have the   responding to a single crossover between the first and sec-
                          STS allele. Of those gametes, 5 (or 10%) will have the   ond genes and the other set to a single crossover between
                             +
                          XG  allele. Therefore a 1/10 probability exists that a   the second and third genes. Finally, there should be a pair
                          son with the STS allele will have the Xg antigen.  of classes containing small numbers that result from dou-
                                                                           ble crossovers. In this example, no flies are found in the
                        II.  Drosophila females of wild-type appearance but hetero-  double crossover classes, which would have been the two
                          zygous for three autosomal genes are mated with males   missing phenotypic combinations: one is glassy eyes, and
                          showing the three corresponding autosomal recessive   the other is coal body and striped thorax.
                          traits: glassy eyes, coal-colored bodies, and striped tho-  Look at the most abundant classes to determine which
                          raxes. One thousand (1000) progeny of this cross are   alleles were on each chromosome in the female heterozy-
                          distributed in the following phenotypic classes:  gous parent. One parental class had the phenotype of coal
                                                                           body (484 flies), so one chromosome in the female must
                               Wild type                      27                            +  +
                               Striped thorax                 11           have contained the t , g , and c alleles. (Notice that we can-
                               Coal body                      484          not yet say in what order these alleles are located on the
                               Glassy eyes, coal body          8           chromosome.) The other parental class was glassy eyes and
                               Glassy eyes, striped thorax    441          striped thorax, corresponding to a chromosome with the t,
                               Glassy eyes, coal body, striped thorax   29
                                                                                  +
                                                                           g, and c  alleles.
                          a.  Draw a genetic map based on these data.          To determine the order of the genes, compare the
                                                                            +
                                                                                +
                          b. Show the arrangement of alleles on the two homol-  t  g c  double crossover class (not seen in the data) with
                                                                                                            +
                             ogous chromosomes in the parent females.      the most similar parental class (t g c ). The alleles of g
                                                                                                                 +
                          c.  Normal-appearing males containing the same    and c retain their parental associations (g c ), while the t
                             chromosomes as the parent females in the preceding   gene has recombined with respect to both other genes in
                             cross are mated with females showing glassy eyes,   the double recombinant class. Thus, the t gene is between
                             coal-colored bodies, and striped thoraxes. Of 1000   g and c.
                             progeny produced, indicate the numbers of the     In order to complete the map, calculate the recombina-
                             various phenotypic classes you would expect.  tion frequencies between the center gene and each of the
                                                                           genes on the ends. For g and t, the nonparental combinations
                                                                           of alleles are in classes 2 and 4, so RF = (11 + 8)/1000 =
                       Answer                                              19/1000, or 1.9%. For t and c, classes 1 and 6 are nonparen-
                       A logical, methodical way to approach a three-point cross   tal, so RF = (27 + 29)/1000 = 56/1000, or 5.6%.
                       is described here.                                      The genetic map is
                        a.  Designate the alleles:                           c +                               t +         g +

                                +
                               t  = wild-type thorax   t = striped thorax                   5.6 m.u.               1.9 m.u.
                                +
                               g  = wild-type eyes   g = glassy eyes
                                +
                               c  = wild-type body   c = coal-colored body   b. The alleles on each chromosome were already deter-
                                                                                                 +
                                                                                         +
                                                                                           +
                                                                               mined (c, g , t  and c , g, t). Now that the order of
                       In solving a three-point cross, designate the types of events   loci has also been determined, the arrangement of the
                       that gave rise to each group of individuals and the genotypes   alleles can be indicated as follows:
                       of the gametes obtained from their mother. [The paternal gam-
                       etes contain only the recessive alleles of these genes (t g c).      c       t +     g +
                       These alleles from the father allow the traits associated with
                       the recessive maternal alleles to appear in the progeny.]
                                                                                            c +     t       g
                       Progeny              Number   Type of event   Genotype  c.  Males of the same genotype as the starting female
                                                                                    +
                                                                                  +
                                                                                       +
                                                                    +
                                                                  +
                       1. wild type           27    single crossover   t   g   c +  (c t  g / c  t g) could produce only two types of gam-
                                                                                                          +
                                                                                                    +
                                                                                                  +
                                                                    +
                       2. striped thorax      11    single crossover   t    g   c +  etes: parental types c t  g  and c  t g because no
                                                                  +
                                                                    +
                       3. coal body          484    parental      t   g   c      recombination occurs in male fruit flies. The progeny
                                                                  +
                       4. glassy eyes, coal body   8   single crossover   t   g    c  expected from the mating with a homozygous reces-
                       5. glassy eyes, striped thorax   441   parental   t    g    c +
                       6.   glassy eyes, coal body,   29   single crossover   t    g    c   sive female are thus 500 coal body and 500 glassy-
                        striped thorax                                         eyed, striped thorax flies.
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