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164    Chapter 5    Linkage, Recombination, and the Mapping of Genes on Chromosomes


                  To do this for the thr gene, we count the number of   TABLE 5.3    Rules for Tetrad Analysis
              tetrads with an MII pattern for that gene. Drawing an imag-
              inary line through the middle of the tetrads, we see that   For Ordered and Unordered Tetrads
              those in groups B, D, E, and G are the result of MII segre-  Considering genes two at a time, assign tetrads as PD, NPD, or T.
              gations for thr, while the remainder show MI patterns. The   If PD >> NPD, the two genes are linked.
              centromere ↔ thr distance is thus:
                  Half the percentage of MII patterns =                If PD ≈  NPD, the two genes assort independently
                                                                            (they are unlinked).
                     (1 2)(16 + 2 + 2 + 1)   × 100 = 10 m.u.         The map distance between two genes if they are linked
                              105                                        NPD + (1 2)T
                                                                       =           × 100
                  Similarly, the MII tetrads for the arg gene are in groups   Total tetrads
              C, D, E, and G, so the distance between arg and its centro-  For Ordered Tetrads Only
              mere is:
                                                                     The map distance between a gene and the centromere
                     (1 2)(11 + 2 + 2 + 1)   × 100 = 7.6 m.u.              (1/2)MII
                             105                                       =  Total tetrads  × 100

                  To ascertain whether the thr and arg genes are linked,
              we need to evaluate the seven tetrad groups in a different
              way, looking at the combinations of alleles for the two
              genes to see if the tetrads in that group are PD, NPD, or T.   essential concepts
              We can then ask whether PD >> NPD. Referring again     •  A tetrad is the group of four haploid spores within an
              to Fig. 5.27a, we find that groups A and G are PD, be-   ascus that results from a single meiosis in fungi.
              cause all the ascospores show parental combinations,   •  In a parental ditype (PD), a tetrad has four parental
              while groups E and F, with four recombinant spores, are   spores; in a nonparental ditype (NPD), a tetrad contains
              NPD. PD is thus 72 + 1 = 73, while NPD is 1 + 2 = 3.     four recombinant spores; in a tetratype (T), an ascus
              From these data, we can conclude that the two genes are   contains two different parental spores and two different
              linked.                                                  recombinant spores.
                  What is the map distance between thr and arg? For this   •  When a dihybrid sporulates, if PD tetrads are equal
              calculation, we need to find the numbers of T and NPD    to NPD tetrads, the genes in question are unlinked;
              tetrads. Tetratypes are found in groups B, C, and D, and we   when PDs greatly outnumber NPDs, the genes are
              already know that groups E and F carry NPDs. Using the   linked.
              same formula for map distances as the one previously used   •  Analysis of unordered tetrads reveals linked genes and
              for yeast,                                               the map distance between them; analysis of ordered
                                 NPD + 1 2T                            tetrads further allows determination of the distance
                           RF =               × 100                    between a gene and the centromere.
                                 Total tetrads
              we get:
                      3 + (1 2)(16 + 11 + 2)
                 RF =                         × 100 = 16.7 m.u.     5.6   Mitotic Recombination
                               105
                                                                   and Genetic Mosaics
                  Because the distance between thr and arg is larger than
              that separating either gene from the centromere, the centro-
              mere must lie between thr and arg, yielding the map in    learning objectives
              Fig. 5.27b. The distance between the two genes calculated
              by the preceding formula (16.7 m.u.) is smaller than the   1.  Explain how mitotic recombination leads to the mosaic
              sum of the two gene ↔ centromere distances (10.0 + 7.6 =   condition termed twin spots.
              17.6 m.u.) because the formula does not account for all of   2.  Describe sectored colonies in yeast and their
              the double crossovers. As always, calculating map posi-   significance in evaluating mitotic recombination.
              tions by adding shorter intervals produces the most accu-
              rate genetic maps. The gene ↔ centromere distances are
              shorter and are therefore more accurate than the thr/arg   The recombination of genetic material is a critical feature
              distance calculation in this example.                of meiosis. It is thus not surprising that eukaryotic organ-
                  Table 5.3 summarizes the procedures for mapping   isms express a variety of enzymes (to be described in
              genes in fungi producing ordered and unordered tetrads.  Chapter 6) that specifically initiate meiotic recombination.
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