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3.1 Extensions to Mendel for Single-Gene Inheritance    53


                        y
                       A  allele prove fatal to the animal carrying them, whereas     seemingly normal newborns remain healthy for five to six
                       one copy of the allele produces a yellow coat. This means   months but then develop blindness, paralysis, mental im-
                               y
                       that the A  allele affects two different traits: It is domi-  pairment, and other symptoms of a deteriorating nervous
                       nant to A in the determination of coat color, but it is re-  system; the disease usually proves fatal by the age of six.
                       cessive to A in the production of lethality. An allele, such   Tay-Sachs disease results from the absence of an active ly-
                          y
                       as A , that negatively affects the survival of a homozy-  sosomal enzyme called hexosaminidase A, leading to the
                       gote is known as a recessive lethal allele. Note that the   accumulation of a toxic waste product inside nerve cells.
                       same two alleles (A  and A) can display different domi-  The approximate incidence of Tay-Sachs among live births
                                        y
                       nance relationships when looked at from the point of   is 1/35,000 worldwide, but it is 1/3000 among Jewish peo-
                       view of different phenotypes; we return later to this im-  ple of Eastern European descent. Reliable tests that detect
                       portant point.                                      carriers, in combination with genetic counseling and edu-
                                       y
                          Because the  A  allele is dominant for yellow coat   cational programs, have all but eliminated the disease in
                       color, it is easy to detect carriers of this particular reces-  the United States.
                       sive lethal allele in mice. Such is not the case, however, for   Recessive alleles causing prenatal or early childhood
                       the vast majority of recessive lethal mutations, as these   lethality can be passed on to subsequent generations only
                       usually do not simultaneously show a visible dominant   by heterozygous carriers because affected homozygotes
                       phenotype for some other trait. Lethal mutations can arise   die before they can mate. However, for late-onset diseases
                       in many different genes, and as a result, most animals, in-  causing death in adults, homozygous patients can pass on
                       cluding humans, carry some recessive lethal mutations.   the lethal allele before they become debilitated. An exam-
                       Such mutations usually remain hidden, except in rare cases   ple is provided by the degenerative disease Friedreich
                       of homozygosity, which in people are often caused by con-  ataxia: Some homozygotes first display symptoms of ataxia
                       sanguineous matings (that is, matings between close rela-  (loss of muscle coordination) at age 30–35 and die about
                       tives). If a mutation produces an allele that prevents   five years later from heart failure.
                       production of a crucial molecule, homozygous individuals   Dominant alleles causing late-onset lethality can also
                       will not make any of the vital molecule and will not sur-  be transmitted to subsequent generations; Figure 2.22 illus-
                       vive. Heterozygotes, by contrast, with only one copy of the   trates this fact for the inheritance of Huntington disease. By
                       deleterious mutation and one wild-type allele, can produce   contrast, if the lethality caused by a dominant allele occurs
                       50% of the wild-type amount of the normal molecule; this   instead  during  fetal development or early  childhood,  the
                       is usually sufficient to sustain normal cellular processes     allele will not be passed on, so all dominant early lethal
                       such that life goes on.                             mutant alleles must be new mutations.
                                                                               Table 3.1 summarizes Mendel’s basic assumptions
                                                                           about dominance, the number and viability of one gene’s
                       Delayed lethality                                   alleles, and the effects of each gene on phenotype, and
                       In the preceding discussion, we have described recessive   then compares these assumptions with the extensions con-
                       alleles that result in the death of homozygotes prenatally;   tributed by his twentieth-century successors. Through
                       that is, in utero. With some mutations, however, homozy-  carefully controlled monohybrid crosses, these later ge-
                       gotes may survive beyond birth and die later from the del-  neticists analyzed the transmission patterns of the alleles
                       eterious consequences of the genetic defect. An example   of single genes, challenging and then confirming the law
                       is  seen in human infants with Tay-Sachs disease. The   of segregation.



                           TABLE 3.1     For Traits Determined by One Gene: Alterations of the 3:1 Monohybrid Ratio

                                                                                                       Extension’s Effect on
                                                                         Extension’s Effect on         Ratios Resulting from
                        What Mendel Described     Extension              Heterozygous Phenotype        an F 1  × F 1  Cross

                        Complete dominance        Incomplete dominance    Unlike either homozygote     Phenotypes coincide with
                                                  Codominance                                          genotypes in a ratio of 1:2:1
                        Two alleles               Multiple alleles       Multiplicity of phenotypes    A series of 3:1 or 1:2:1 ratios
                        All alleles are equally viable   Recessive lethal alleles   Heterozygotes survive but may    2:1 instead of 3:1
                                                                         have visible phenotypes
                        One gene determines one   Pleiotropy: One gene   Several traits affected in    Different ratios, depending
                        trait                     influences several traits   different ways, depending    on dominance relations for
                                                                         on dominance relations        each affected trait
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