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Solved Problems   37


                       solutions. The more problems you do, the easier they be-  Answer
                       come. In solving problems, you will not only solidify your   The solution to this problem requires an understanding of
                       understanding of genetic concepts, but you will also de-  dominance/recessiveness, gamete formation, and the inde-
                       velop basic analytical skills that are applicable in many   pendent assortment of alleles of two genes in a cross.
                       disciplines.                                            First make a representation of the known information:
                          Note that some of the problems at the end of each
                       chapter are designed to introduce supplementary but im-  Mothers:   solid, short-haired   solid, long-haired
                       portant concepts that expand on the information in the text.   Cross:   cat 1              cat 2
                       You can nonetheless answer such problems using logical            patches, long-haired   ×   solid, short-haired
                       inferences from your reading.                       What genotypes can you assign? Any cat showing a reces-
                          Solving genetics problems requires much more than   sive phenotype must be homozygous for the recessive al-
                       simply plugging numbers into formulas. Each problem is   lele. Therefore the long-haired cats are ss; solid cats are pp.
                       unique and requires thoughtful evaluation of the informa-  Cat 1 is long-haired, so it must be homozygous for the re-
                       tion given and the question being asked. The following are   cessive allele (ss). This cat has the dominant phenotype of
                       general guidelines you can follow in approaching these   patches and could be either  PP or  Pp, but because the
                       word problems:                                      mother was pp and could only contribute a p allele in her
                                                                           gametes, cat 1 must be Pp. Cat 1’s full genotype is Pp ss.
                        a.  Read through the problem once to get some sense of   Similarly, cat 2 is solid-colored, so it must be homozygous
                          the concepts involved.                           for the recessive allele (pp). Because this cat is short-
                        b. Go back through the problem, noting all the informa-  haired, it could have either the SS or Ss genotype. Its mother
                          tion supplied to you. For example, genotypes or phe-  was long-haired (ss) and could only contribute an s allele in
                          notypes of offspring or parents may be given to you   her gamete, so cat 2 must be heterozygous  Ss. The full
                          or implied in the problem. Represent the known infor-  genotype is pp Ss.
                          mation in a symbolic format—assign symbols for al-   The cross is therefore between Pp ss (cat 1) and pp Ss
                          leles; use these symbols to indicate genotypes; make a   (cat 2). To determine the types of kittens, first establish the
                          diagram of the crosses including genotypes and phe-  types of gametes that can be produced by each cat and then
                          notypes given or implied. Be sure that you do not as-  set up a Punnett square to determine the genotypes of the
                          sign different letters of the alphabet to two alleles of   offspring.  Cat 1  (Pp  ss)  produces  Ps  and  ps  gametes  in
                          the same gene, as this can cause confusion. Also, be   equal proportions. Cat 2 (pp Ss) produces pS and ps gam-
                          careful to discriminate clearly between the upper- and   etes in equal proportions. Four types of kittens can result
                          lowercases of letters, such as C(c) or S(s).     from this mating with equal probability: Pp Ss (patches,
                        c.  Now, reassess the question and work toward the solu-  short-haired),  Pp ss (patches, long-haired),  pp Ss (solid,
                          tion using the information given. Make sure you    short-haired), and pp ss (solid, long-haired).
                          answer the question being asked!
                        d. When you finish the problem, check to see that the                            Cat 1
                          answer makes sense. You can often check solutions                         P s       p s
                          by working backwards; that is, see if you can recon-
                          struct the data from your answer.                                  p S   Pp Ss     pp Ss
                        e.  After you have completed a question and checked your        Cat 2
                          answer, spend a minute to think about which major
                          concepts were involved in the solution. This is a criti-            p s   Pp ss    pp ss
                          cal step for improving your understanding of genetics.

                       For each chapter, the logic involved in solving two or three   The following table demonstrates that you could also work
                       types of problems is described in detail.           through this problem using the product rule of probability

                         I.  In cats, white patches are caused by the dominant al-  instead of a Punnett square. The principles are the same:
                          lele P, while pp individuals are solid-colored. Short   Gametes produced in equal amounts by either parent are
                          hair is caused by a dominant allele S, while ss cats   combined at random.
                          have long hair. A long-haired cat with patches    Cat 1       Cat 2
                          whose mother was solid-colored and short-haired     gamete    gamete     Progeny
                          mates with a short-haired, solid-colored cat whose
                          mother was long-haired and solid-colored. What   1/2 P s   ×   1/2 p S        1/4 Pp Ss patches, short-haired
                                                                           1/2 P s
                                                                                   ×
                                                                                                   1/4 Pp ss patches, long-haired
                                                                                        1/2 p s
                          kinds of kittens can arise from this mating, and in   1/2 P s   ×   1/2 p S      1/4 pp Ss solid-colored, short-haired
                          what proportions?                                1/2 P s   ×   1/2 p s      1/4 pp ss solid-colored, long-haired
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