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84     Chapter 3    Extensions to Mendel’s Laws


              34.  A student whose hobby was fishing pulled a very un-  or protein B is sufficient to prevent blue pigment
                  usual carp out of Cayuga Lake: It had no scales on its   production from precursor 2. The recessive mutant
                  body. She decided to investigate whether this strange   alleles a and b specify no protein. Two different
                  nude phenotype had a genetic basis. She therefore ob-  pure-breeding mutant strains with white flowers
                  tained some inbred carp that were pure-breeding for   were crossed and complementation was observed so
                  the wild-type scale phenotype (body covered with     that all the F 1  were blue.
                  scales in a regular pattern) and crossed them with her       Colorless  A      B
                  nude fish. To her surprise, the F 1  progeny consisted       precursor 1           Blue
                  of a 1:1 ratio of wild-type fish and fish with a single
                  linear row of scales on each side.                           Colorless             Blue
                                                                               precursor 2
                  a.  Can a single gene with two alleles account for this                 A      B
                    result? Why or why not?
                  b. To follow up on the first cross, the student allowed   a.  What are the genotypes of each white mutant strain
                                                                         and the F 1 ?
                    the linear fish from the F 1  generation to mate with
                    each other. The progeny of this cross consisted of   b. If the F 1  are selfed, what would be the phenotypic
                    fish with four phenotypes: linear, wild type, nude,   ratio of the F 2 ?
                    and scattered (the latter had a few scales scattered ir-  36.  This problem examines possible biochemical explana-
                    regularly on the body). The ratio of these phenotypes   tions for variations of Mendel’s 9:3:3:1 ratio. Except
                    was 6:3:2:1, respectively. How many genes appear to   where indicated, compounds 1, 2, 3, and 4 have dif-
                    be involved in determining these phenotypes?       ferent colors, as do mixtures of these compounds. A
                  c.  In parallel, the student allowed the phenotypically   and B are enzymes that catalyze the indicated steps of
                    wild-type fish from the F 1  generation to mate with   the pathway. Alleles A and B specify functional en-
                    each other and observed, among their progeny, wild-  zymes A and B, respectively; these are completely
                    type and scattered carp in a ratio of 3:1. How many   dominant to alleles a and b, which do not specify any
                    genes with how many alleles appear to determine    of the corresponding enzyme. If functional enzyme is
                    the difference between wild-type and scattered carp?  present, assume that the compound to the left of the
                  d. The student confirmed the conclusions of (c) by   arrow is converted completely to the compound to the
                                                                       right of the arrow. For each pathway, what phenotypic
                    crossing those scattered carp with her pure-       ratios would you expect among the progeny of a dihy-
                    breeding wild-type stock. Diagram the genotypes    brid cross of the form Aa Bb × Aa Bb?
                    and phenotypes of the parental, F 1 , and F 2  genera-
                    tions for this cross and indicate the ratios observed.  a.  Independent pathways
                  e.  The student attempted to generate a true-breeding         Compound 1  Enz A  Compound 2
                    nude stock of fish by inbreeding. However, she
                    found that this was impossible. Every time she              Compound 3  Enz B  Compound 4
                    crossed two nude fish, she found nude and scat-
                    tered fish in the progeny, in a 2:1 ratio. (The scat-  b. Redundant pathways
                    tered fish from these crosses bred true.) Diagram                      Enz A
                    the phenotypes and genotypes of this gene in a              Compound 1        Compound 2
                    nude × nude cross and explain the altered                              Enz B
                    Mendelian ratio.                                   c.  Sequential pathway
                  f.  The student now felt she could explain all of her   Compound 1  Enz A  Compound 2  Enz B  Compound 3
                    results. Diagram the genotypes in the linear × lin-
                    ear cross performed by the student in (b). Show the   d. Enzymes A and B both needed to catalyze the re-
                    genotypes of the four phenotypes observed among      action indicated.
                    the progeny and explain the 6:3:2:1 ratio.              Compound 1  Enz A + Enz B  Compound 2
              35.  Suppose that blue flower color in a plant species is   e.  Branched pathways (assume enough of compound
                  controlled by two genes, A and B. The dominant al-     1 for both pathways)
                  leles A and B specify proteins that function in the
                  pathways shown below. The A and B proteins are                Compound 1  Enz A  Compound 2
                  both required to make blue pigment from a colorless
                  precursor. A and B proteins also independently inhibit             Enz B
                  the production of blue pigment from a different color-
                  less precursor; that is, the presence of either protein A     Compound 3
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