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Solved Problems   259




                                      SOLVED PROBLEMS


                         I.  Imagine that 10 independently isolated recessive   same alleles resulted in no complementation because
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                            lethal mutations (l , l , l , etc.) map to chromosome     homozygotes for the recessive lethal mutation were gener-
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                          7 in mice. You perform complementation testing by   ated.) The three complementation groups consist of (1) l ,
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                          mating all pairwise combinations of heterozygotes   l , l ; (2) l , l ; and (3) l , l , l , l , l .
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                          bearing these lethal mutations, and you score the
                            absence of complementation by examining pregnant    II.  W, X, and Y are the intermediates (in that order) in a
                                                                                                                    −
                          females for dead fetuses. A + in the chart means that   biochemical pathway whose product is Z. Z  mutants
                          the two lethals complemented, and dead embryos       are found in five different complementation groups.
                          were not found. A − indicates that dead embryos were   Z1 mutants will grow on Y or Z, but not W or X. Z2
                          found, at the rate of about one in four conceptions.   mutants will grow on X, Y, or Z. Z3 mutants will only
                          (The crosses between heterozygous mice would be      grow on Z. Z4 mutants will grow on Y or Z. Finally,
                          expected to yield the homozygous recessive showing   Z5 mutants will grow on W, X, Y, or Z.
                          the lethal phenotype in 1/4 of the embryos.) The     a.  Order the five complementation groups in terms of
                            lethal mutation in the parental heterozygotes for each   the steps they block.
                          cross are listed across the top and down the left side   b. What does this genetic information reveal about
                          of the chart (that is, l  indicates a heterozygote in   the nature of the enzyme that carries out the
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                          which one chromosome bears the l  mutation and the       conversion of X to Y?
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                          homologous chromosome is wild type).
                                                                           Answer
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                                  l    l    l    l    l    l    l    l    l    l 10  This problem requires that you understand complementa-
                              l 1  −  +  +   +  +   −   −  +   +   +       tion and the connection between genes and enzymes in a
                              l 2    −   +   +  +   +   +  +   +   −       biochemical pathway.
                              l 3        −   −  −   +   +  −   −   +
                              l 4            −  −   +   +  −   −   +         a.  A biochemical pathway represents an ordered set of
                              l 5               −   +   +  −   −   +           reactions that must occur to produce a product. This
                              l 6                   −   −  +   +   +           problem gives the order of intermediates in a pathway
                              l 7                       −  +   +   +           for producing product Z. The lack of any enzyme
                              l 8                          −   −   +           along the way will cause the phenotype of Z , but the
                                                                                                                    −
                              l 9                              −   +
                              l 10                                 −           block can occur at different places along the pathway.
                                                                               If the mutant grows when given an intermediate com-
                           How many genes do the 10 lethal mutations repre-    pound, the enzymatic (and hence gene) defect must be
                          sent? What are the complementation groups?           before production of that intermediate compound.
                                                                                   The Z1 mutants that grow on Y or Z (but not on
                                                                               W or X) must have a defect in the enzyme that pro-
                       Answer                                                  duces Y. Z2 mutants have a defect prior to X; Z3 mu-
                       This problem involves the application of the complementa-  tants have a defect prior to Z; Z4 mutants have a defect
                       tion concept to a set of data. There are two ways to analyze   prior to Y; Z5 mutants have a defect prior to W. The
                       these results. You can focus on the mutations that do com-  five complementation groups can be placed in order of
                       plement each other, conclude that they are in different   activity within the biochemical pathway as follows:
                       genes, and begin to create a list of mutations in separate
                       genes. Alternatively, you can focus on mutations that do             Z5     Z2   Z1, Z4   Z3
                       not complement each other and therefore are alleles of the              W       X      Y     Z
                       same genes. The latter approach is more efficient when
                       several mutations are involved. For example, l  does not     b. Mutants Z1 and Z4 affect the same step, but because
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                       complement l  and l . These three alleles are in one com-  they are in different complementation groups, we
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                       plementation group. l  does not complement l ; they are in   know they are in different genes. Mutations Z1 and
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                       a second complementation group. l  does not complement   Z4 are probably in genes that encode subunits of a
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                       l , l , l , or l , so they form a third complementation group.   multisubunit enzyme that carries out the conversion
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                       Three complementation groups exist. (Note also that for   of X to Y. Alternatively, a currently unknown addi-
                       each  mutant,  the  cross between individuals carrying  the   tional  intermediate step between X and Y could exist.
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