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These are the user uploaded subtitles that are being translated: 0 00:00:00,000 --> 00:00:00,630 1 00:00:00,630 --> 00:00:03,360 MICHAEL HEMANN: OK. 2 00:00:03,360 --> 00:00:08,515 So let's think about two markers. 3 00:00:08,515 --> 00:00:15,800 4 00:00:15,800 --> 00:00:23,810 One of them is called M1 and the other one is called M2. 5 00:00:23,810 --> 00:00:26,360 So not only can we look at the distance 6 00:00:26,360 --> 00:00:27,897 between a marker and a phenotype, 7 00:00:27,897 --> 00:00:29,480 but we could just look at the distance 8 00:00:29,480 --> 00:00:33,270 between two markers using the same kind of analysis. 9 00:00:33,270 --> 00:00:42,410 So in doing this, we determine that M1 and M2 are linked 10 00:00:42,410 --> 00:00:48,560 on the same chromosome, and they're somewhere around 30 11 00:00:48,560 --> 00:00:51,780 centimorgans apart. 12 00:00:51,780 --> 00:00:56,690 So we have these two markers and we have our wingless gene. 13 00:00:56,690 --> 00:01:04,129 And we want to simply ask, where is wingless 14 00:01:04,129 --> 00:01:06,995 relative to these two markers? 15 00:01:06,995 --> 00:01:17,180 16 00:01:17,180 --> 00:01:21,130 Now we could do this by just looking 17 00:01:21,130 --> 00:01:24,280 at pairwise interactions and pairwise crosses. 18 00:01:24,280 --> 00:01:31,000 So wingless in M1, wingless in M2, and figure it out that way. 19 00:01:31,000 --> 00:01:33,503 But we can do it another way that is somewhat faster, 20 00:01:33,503 --> 00:01:35,920 an interesting way I think that tells us a little bit more 21 00:01:35,920 --> 00:01:39,460 about meiosis, and that is by doing what's 22 00:01:39,460 --> 00:01:45,770 called a three-factor cross. 23 00:01:45,770 --> 00:01:47,300 Here, the three factors are going 24 00:01:47,300 --> 00:01:51,410 to be M1 and M2 and wingless. 25 00:01:51,410 --> 00:01:54,500 OK, so let's do this cross. 26 00:01:54,500 --> 00:01:58,520 So we're going to start with two true-breeding flies 27 00:01:58,520 --> 00:02:00,740 as we almost always do. 28 00:02:00,740 --> 00:02:04,180 29 00:02:04,180 --> 00:02:10,077 And this one is going to be wingless minus M1A and M2A. 30 00:02:10,077 --> 00:02:12,780 31 00:02:12,780 --> 00:02:19,880 And they're true-breeding, so M1A and M2A. 32 00:02:19,880 --> 00:02:23,040 Now I've drawn them all on the same chromosome, 33 00:02:23,040 --> 00:02:26,090 but we don't know what the order is. 34 00:02:26,090 --> 00:02:28,210 It could be wingless M1A M2A. 35 00:02:28,210 --> 00:02:29,775 It could be M1A wingless M2A. 36 00:02:29,775 --> 00:02:31,400 That's what we're trying to figure out. 37 00:02:31,400 --> 00:02:33,560 We're trying to figure out the order. 38 00:02:33,560 --> 00:02:36,110 And we're going to cross with the male, 39 00:02:36,110 --> 00:02:39,980 and the male is wingless plus M1B 40 00:02:39,980 --> 00:02:44,270 So it's the B version of the M1 allele. 41 00:02:44,270 --> 00:02:46,970 42 00:02:46,970 --> 00:02:55,400 And M2B wingless plus M1B M2B. 43 00:02:55,400 --> 00:02:57,980 Again, these are both true-breeding flies. 44 00:02:57,980 --> 00:03:01,250 And I just want to remind you all that true-breeding does not 45 00:03:01,250 --> 00:03:02,420 mean wildtype. 46 00:03:02,420 --> 00:03:06,200 Breeding just means they are homozygous at all 47 00:03:06,200 --> 00:03:07,670 of their loci. 48 00:03:07,670 --> 00:03:14,180 So it essentially allows us to concoct an F1 constellation 49 00:03:14,180 --> 00:03:19,190 of genotypes that is going to be informative in our cross. 50 00:03:19,190 --> 00:03:21,500 So we're using this parental line 51 00:03:21,500 --> 00:03:24,860 to generate an F1 where the meiosis is going 52 00:03:24,860 --> 00:03:27,940 to be actually interesting. 53 00:03:27,940 --> 00:03:28,440 OK. 54 00:03:28,440 --> 00:03:33,970 So the F1 for this cross is going 55 00:03:33,970 --> 00:03:39,070 to be heterozygous at all of these loci. 56 00:03:39,070 --> 00:03:43,860 So wingless minus M1A M2A. 57 00:03:43,860 --> 00:03:51,950 Wingless plus M1B M2B F1. 58 00:03:51,950 --> 00:03:54,800 And so this is going to be the organism-- this 59 00:03:54,800 --> 00:03:57,470 is going to be the female where all the action happens, 60 00:03:57,470 --> 00:03:59,240 where we actually see meiosis and we 61 00:03:59,240 --> 00:04:03,180 can look at the distances between all of these things. 62 00:04:03,180 --> 00:04:03,680 OK. 63 00:04:03,680 --> 00:04:10,080 So let's draw this female again at the top. 64 00:04:10,080 --> 00:04:26,010 So we have female wingless minus M1A M2A, wingless plus M1B M2B. 65 00:04:26,010 --> 00:04:28,530 66 00:04:28,530 --> 00:04:35,760 And we'll cross with a male that is homozygous 67 00:04:35,760 --> 00:04:46,680 for M1A M2A M1A and M2A. 68 00:04:46,680 --> 00:04:50,100 69 00:04:50,100 --> 00:04:54,540 And so we're going to look at just the meiotic of products 70 00:04:54,540 --> 00:04:58,370 that are generated by the females. 71 00:04:58,370 --> 00:05:02,940 So the gametes from the female. 72 00:05:02,940 --> 00:05:07,680 I mean, importantly, we can see by phenotype 73 00:05:07,680 --> 00:05:08,800 all of the offspring. 74 00:05:08,800 --> 00:05:09,990 So just looking at the flies, we can 75 00:05:09,990 --> 00:05:11,370 see whether the wingless are not, 76 00:05:11,370 --> 00:05:13,440 and then we can look at the marker status 77 00:05:13,440 --> 00:05:16,290 and see are they AA or AB. 78 00:05:16,290 --> 00:05:20,040 So these are things that fall under the general constellation 79 00:05:20,040 --> 00:05:22,150 of phenotypes that we can see, but in this case, 80 00:05:22,150 --> 00:05:25,140 we're just going to look at the gametes. 81 00:05:25,140 --> 00:05:34,560 So we can have wingless minus M1A M2A or wingless minus-- 82 00:05:34,560 --> 00:05:41,100 or wingless plus M1B M2B. 83 00:05:41,100 --> 00:05:45,480 So these you'll recognize this the parental, 84 00:05:45,480 --> 00:05:48,870 these are nonrecombinant. 85 00:05:48,870 --> 00:05:51,540 And then we can get all of the possible recombinant. 86 00:05:51,540 --> 00:06:03,840 So we can get wingless minus M1A M2B and wingless plus M1B M2A. 87 00:06:03,840 --> 00:06:17,790 We can get wingless minus M1B M2A and wingless plus M1A M2B. 88 00:06:17,790 --> 00:06:32,310 Or we can get wingless minus M1B M2B and wingless plus M1A M2A. 89 00:06:32,310 --> 00:06:37,830 So there are eight total possible gametes that 90 00:06:37,830 --> 00:06:40,770 are coming from this cross. 91 00:06:40,770 --> 00:06:45,850 92 00:06:45,850 --> 00:06:52,690 Now you'll notice the way that I've drawn them is in pairs. 93 00:06:52,690 --> 00:07:04,040 And we actually call these pairs reciprocal pairs. 94 00:07:04,040 --> 00:07:07,640 Because essentially, they are the two recombination products 95 00:07:07,640 --> 00:07:11,220 you would get from crossing-over events. 96 00:07:11,220 --> 00:07:13,400 So in each of these cases, I have 97 00:07:13,400 --> 00:07:16,640 all of the markers represented. 98 00:07:16,640 --> 00:07:22,730 In this case here, we have essentially M2A and M2B 99 00:07:22,730 --> 00:07:25,800 that have flipped from one chromosome to the other. 100 00:07:25,800 --> 00:07:28,760 And so we see the two recombination products 101 00:07:28,760 --> 00:07:31,665 that would be generated from that recombination event. 102 00:07:31,665 --> 00:07:34,460 103 00:07:34,460 --> 00:07:36,755 And so we can put in numbers. 104 00:07:36,755 --> 00:07:41,170 105 00:07:41,170 --> 00:07:53,970 And let's say we have 60 flies, 68 flies, 20 flies, 22 flies, 106 00:07:53,970 --> 00:08:00,770 12 flies, 10 flies, three flies, five flies. 107 00:08:00,770 --> 00:08:03,300 108 00:08:03,300 --> 00:08:05,400 These are experimental numbers. 109 00:08:05,400 --> 00:08:08,100 You did a cross and you're just counting flies. 110 00:08:08,100 --> 00:08:11,520 What you'd expect in theory is that in a given reciprocal 111 00:08:11,520 --> 00:08:14,200 pair, the numbers would be identical. 112 00:08:14,200 --> 00:08:17,220 And if you counted enough flies, they would be. 113 00:08:17,220 --> 00:08:19,170 But you can already see here with the numbers 114 00:08:19,170 --> 00:08:21,780 that we've generated that they're 115 00:08:21,780 --> 00:08:23,070 very similar to one another. 116 00:08:23,070 --> 00:08:29,220 60 and 68, 20 and 22, 12 and 10, 3 and 5. 117 00:08:29,220 --> 00:08:30,270 OK. 118 00:08:30,270 --> 00:08:35,010 So we have a total of 128 of these. 119 00:08:35,010 --> 00:08:39,179 We have 42 of these, we have 22 of these, 120 00:08:39,179 --> 00:08:43,740 and we have eight of those. 121 00:08:43,740 --> 00:08:49,920 And we're going to call this pair number 1, pair number 2, 122 00:08:49,920 --> 00:08:53,570 and pair number 3. 123 00:08:53,570 --> 00:08:56,810 So the way that the three-factor cross works is we're 124 00:08:56,810 --> 00:09:02,150 going to look at the rarest class of reciprocal pairs. 125 00:09:02,150 --> 00:09:13,380 And we're going to say that the rarest class is the result 126 00:09:13,380 --> 00:09:15,680 of a double-crossover. 127 00:09:15,680 --> 00:09:18,520 128 00:09:18,520 --> 00:09:23,560 Now we talked about double-crossovers last week. 129 00:09:23,560 --> 00:09:26,350 And you'd expect that a single-crossover 130 00:09:26,350 --> 00:09:30,240 is going to be more likely than a double-crossover. 9393

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