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3.2 Extensions to Mendel for Two-Gene Inheritance   57


                          In short, for the two genes that determine seed color,   Figure 3.11  A biochemical model for the inheritance of
                       both dominant alleles must be present to yield brown    lentil seed colors. The seed has an opaque outer layer (the
                       (A– B–); the dominant allele of one gene produces tan    seed coat) and an inner layer (the cotyledon). The green chlorophyll
                       (A– bb); the dominant allele of the other specifies gray   in the cotyledon is not visible if the seed coat is colored. Allele A
                                                                           encodes enzyme A. Allele a does not produce this enzyme. Allele B
                       (aa B–); and the complete absence of dominant alleles   of a second gene encodes a different enzyme; b produces none of
                       (that is, the double recessive) yields green (aa bb). Thus,   this enzyme. Seeds appear brown if the tan and gray pigments are
                       the  four  color  phenotypes  arise  from  four  genotypic   both present. In the absence of both enzymes (aa bb), the seed
                       classes, with each class defined in terms of the presence   coat is nonpigmented, so the green chlorophyll in the cotyledon will
                       or absence of the dominant alleles of two genes: (1) both   show through. The 9:3:3:1 ratio implies that the A and B genes
                                                                           operate in independent biochemical pathways.
                       present (A– B–), (2) one present (A– bb), (3) the other              AA, Aa
                       present (aa B–), and (4) neither present (aa bb). Note that
                       the A– notation means that the second allele of this gene
                       can be either A or a, while B– denotes a second allele of   Colorless  Enzyme A  Tan pigment
                                                                               precursor 1
                       either B or b. Note also that only with a two-gene system
                       in which the dominance and recessiveness of alleles at   Colorless             Gray pigment
                                                                               precursor 2
                       both genes is complete can the nine different genotypes of          Enzyme B
                       the F 2  generation be categorized into the four phenotypic
                       classes  described.  With  incomplete dominance or co-               BB, Bb
                       dominance, the F 2  genotypes could not be grouped to-
                       gether in this simple way, as they would give rise to more           AA, Aa
                       than four phenotypes.
                          Further crosses between plants carrying lentils of differ-  Colorless  Enzyme A  Tan pigment
                       ent colors confirmed the two-gene hypothesis (Fig. 3.10c).   precursor 1
                       Thus, the 9:3:3:1 phenotypic ratio of brown to tan to gray   Colorless          No gray
                       to green in an F 2  descended from pure-breeding tan and   precursor 2          pigment
                       pure-breeding gray lentils tells us not only that dominant        No enzyme B
                       and recessive alleles of two genes assort independently and
                       interact to produce the seed color, but also that each geno-          bb
                       typic class (A– B–, A– bb, aa B–, and aa bb) determines a             aa
                       particular phenotype. 
                          How can we explain the 9:3:3:1  phenotypic ratio in
                       terms of the action of the protein products of these two   Colorless  No enzyme A  No tan
                       genes? We cannot answer this question definitively be-  precursor 1             pigment
                       cause the genes controlling lentil seed color have not been
                       identified at the molecular level, and the biochemical path-  Colorless  Enzyme B  Gray pigment
                                                                               precursor 2
                       ways in which they function are not known. However, in-
                       formation available about the mechanisms of seed color
                       inheritance in other plant species allows us to formulate a          BB, Bb
                       plausible model for this system in lentils (Fig. 3.11). The           aa
                       model illustrates an important implication of the 9:3:3:1
                       ratio: The two independently assorting genes controlling
                       the same trait probably function additively in independent   Colorless  No enzyme A  No tan
                       biochemical pathways, so that in this case, tan (the product   precursor 1      pigment
                       of one pathway) + gray (the product of the other pathway)
                       = brown.                                                Colorless               No gray
                                                                               precursor 2
                                                                                                       pigment
                                                                                         No enzyme B
                       Epistasis: Alleles of One Gene Can Mask
                       the Phenotypic Effects of Alleles of                                  bb
                       Another Gene
                       Sometimes, when two genes control a single trait, the four   allele at one gene hides the effects of alleles at another
                       Mendelian genotypic classes produce fewer than four ob-  gene is known as  epistasis; the allele that is doing the
                       servable phenotypes because one gene masks the pheno-  masking is epistatic to the gene that is being masked (the
                       typic effects of another. A gene interaction in which an   hypostatic gene).
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