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These are the user uploaded subtitles that are being translated: 0 00:00:00,000 --> 00:00:12,980 MICHAEL HEMMAN: So let's go back to our reciprocal pairs, right? 1 00:00:12,980 --> 00:00:17,930 So which is the class that is the rarest class? 2 00:00:17,930 --> 00:00:19,940 It's a little bit difficult to navigate here 3 00:00:19,940 --> 00:00:22,310 with going from slide to slide. 4 00:00:22,310 --> 00:00:30,210 But here we had the rarest class as wingless 5 00:00:30,210 --> 00:00:37,680 minus M1B M2B, wingless plus M1A M2A, right? 6 00:00:37,680 --> 00:00:42,590 7 00:00:42,590 --> 00:00:44,270 And that's precisely the class that we 8 00:00:44,270 --> 00:00:48,080 see in the middle, wingless minus M1B M2B, 9 00:00:48,080 --> 00:00:50,570 wingless plus M1A, M2A. 10 00:00:50,570 --> 00:00:52,790 So let me go back and forth again, right? 11 00:00:52,790 --> 00:00:54,860 So here at the bottom, our rarest class, 12 00:00:54,860 --> 00:00:57,410 wingless minus M1B M2B. 13 00:00:57,410 --> 00:01:00,530 Here we have wingless minus M1B M2B. 14 00:01:00,530 --> 00:01:03,530 And then wingless plus M1A M2A. 15 00:01:03,530 --> 00:01:06,240 Does that make sense to everybody? 16 00:01:06,240 --> 00:01:08,100 So we've just identified the rarest class. 17 00:01:08,100 --> 00:01:15,650 And so we can actually now look at some of these numbers, 18 00:01:15,650 --> 00:01:18,380 right? 19 00:01:18,380 --> 00:01:28,470 So we know now that the right order is M1A or M1 wingless M2. 20 00:01:28,470 --> 00:01:36,920 So M1 wingless M2, right? 21 00:01:36,920 --> 00:01:39,830 So we can think about the recombination distances 22 00:01:39,830 --> 00:01:43,280 actually between each of these components, right? 23 00:01:43,280 --> 00:01:46,010 So we can figure out what is the distance based 24 00:01:46,010 --> 00:01:53,200 on this order between M1 and wingless. 25 00:01:53,200 --> 00:01:55,870 So here we're going to look at the total number 26 00:01:55,870 --> 00:02:02,230 of recombinants that separates wingless and M1 wingless minus 27 00:02:02,230 --> 00:02:06,100 and M1A and wingless plus and M1B, right? 28 00:02:06,100 --> 00:02:11,240 So here at the top, there are no recombinants 29 00:02:11,240 --> 00:02:13,810 So we're looking for something that is separating essentially 30 00:02:13,810 --> 00:02:15,820 wingless minus and M1A. 31 00:02:15,820 --> 00:02:17,470 And so is there any recombination 32 00:02:17,470 --> 00:02:19,060 here between wingless minus and M1A? 33 00:02:19,060 --> 00:02:21,850 No these are the parental classes, right? 34 00:02:21,850 --> 00:02:25,930 Similarly, if we look here, wingless minus and M1A 35 00:02:25,930 --> 00:02:27,070 are still together. 36 00:02:27,070 --> 00:02:30,280 And wingless plus and M1B are still together, right? 37 00:02:30,280 --> 00:02:32,770 So there's no recombination between these two. 38 00:02:32,770 --> 00:02:34,270 However, when we look at this class, 39 00:02:34,270 --> 00:02:37,930 we suddenly see wingless minus with M1B and wingless 40 00:02:37,930 --> 00:02:40,150 plus with M1A. 41 00:02:40,150 --> 00:02:44,230 So we know that these two are recombinants, right? 42 00:02:44,230 --> 00:02:46,690 So if we look at the frequency of recombination, 43 00:02:46,690 --> 00:02:51,700 we have 100 times 12 plus 10, right? 44 00:02:51,700 --> 00:02:55,110 And we can also see that our double recombinants of course 45 00:02:55,110 --> 00:02:56,110 are recombinants, right? 46 00:02:56,110 --> 00:03:00,220 So we have separation of wingless minus and M1A here 47 00:03:00,220 --> 00:03:02,440 and wingless plus and M1B there, right? 48 00:03:02,440 --> 00:03:10,770 So we have plus 3 plus 5 over a total of 200 gametes. 49 00:03:10,770 --> 00:03:19,100 And so this is 100 times 30 over 200. 50 00:03:19,100 --> 00:03:23,100 So this equals 15 centimorgans. 51 00:03:23,100 --> 00:03:26,520 We can similarly look at recombination between wingless 52 00:03:26,520 --> 00:03:30,720 and M2, so things that are separating essentially 53 00:03:30,720 --> 00:03:34,380 wingless minus and M2A, which we don't 54 00:03:34,380 --> 00:03:37,960 have in the nonrecombinants but we do have in this group. 55 00:03:37,960 --> 00:03:40,830 So wingless minus is now with M2B. 56 00:03:40,830 --> 00:03:42,840 And wingless plus is with M2A. 57 00:03:42,840 --> 00:03:51,370 So we have 100 times 20 plus 22. 58 00:03:51,370 --> 00:03:53,860 And of course these double nonrecombinants also 59 00:03:53,860 --> 00:03:57,060 have a separation of wingless minus and M2A. 60 00:03:57,060 --> 00:04:00,430 So it's now wingless minus and M2B and wingless plus and M2A. 61 00:04:00,430 --> 00:04:10,310 So it's plus 3 plus 5 over 200, which is 50/200, 62 00:04:10,310 --> 00:04:14,830 which is 25 centimorgans. 63 00:04:14,830 --> 00:04:16,600 So we can put together a map here. 64 00:04:16,600 --> 00:04:22,480 And the map has M1, wingless. 65 00:04:22,480 --> 00:04:27,100 M2, M1, and wingless are 15 centimorgans apart. 66 00:04:27,100 --> 00:04:33,580 And then wingless and M2 are 25 centimorgans apart. 67 00:04:33,580 --> 00:04:38,200 So the total distance that we actually have in this context 68 00:04:38,200 --> 00:04:42,777 is 40 centimorgans. 69 00:04:42,777 --> 00:04:46,190 70 00:04:46,190 --> 00:04:49,820 So M1 and M2 are separated from one another 71 00:04:49,820 --> 00:04:54,800 by 40 total centimorgans when we take into account wingless. 72 00:04:54,800 --> 00:05:01,770 Now, this is somewhat at odds to our earlier statement, which 73 00:05:01,770 --> 00:05:03,750 is that when we mapped M1 and M2, 74 00:05:03,750 --> 00:05:07,420 we saw that they're 30 centimorgans apart. 75 00:05:07,420 --> 00:05:09,745 And so why would that be the case? 76 00:05:09,745 --> 00:05:21,400 77 00:05:21,400 --> 00:05:22,720 Exactly. 78 00:05:22,720 --> 00:05:24,940 Exactly right, double crossovers, right? 79 00:05:24,940 --> 00:05:28,270 So we're underestimating the double crossovers here, right? 80 00:05:28,270 --> 00:05:33,100 So basically we're losing this entire class 81 00:05:33,100 --> 00:05:34,990 of double recombinants because there we're 82 00:05:34,990 --> 00:05:38,770 looking at what is separating M1A and M2A, right? 83 00:05:38,770 --> 00:05:45,250 And so here M1A and M2A at the top and M1B and M2B 84 00:05:45,250 --> 00:05:46,780 are together. 85 00:05:46,780 --> 00:05:48,440 They're separate here. 86 00:05:48,440 --> 00:05:50,110 So now we have M1A and M2B. 87 00:05:50,110 --> 00:05:51,910 But in the double crossovers, they 88 00:05:51,910 --> 00:05:54,220 realign back together, right? 89 00:05:54,220 --> 00:05:59,510 And so we're excluding this entire class of 8. 90 00:05:59,510 --> 00:06:01,580 So what would our calculation be there, 91 00:06:01,580 --> 00:06:05,750 where our calculation would just include these numbers, 42 92 00:06:05,750 --> 00:06:06,860 and 22. 93 00:06:06,860 --> 00:06:13,010 And there would be 100 times 42 plus 22 94 00:06:13,010 --> 00:06:21,200 over 200, which equals 64/200, or 32 centimorgans. 95 00:06:21,200 --> 00:06:24,830 So without that middle wingless gene, 96 00:06:24,830 --> 00:06:27,530 without being able to see the double crossovers, 97 00:06:27,530 --> 00:06:29,810 we will systematically underestimate 98 00:06:29,810 --> 00:06:31,010 genetic distances. 99 00:06:31,010 --> 00:06:33,000 So the more markers that we have, 100 00:06:33,000 --> 00:06:36,020 the more genes that we have, the more fine mapping we can do. 101 00:06:36,020 --> 00:06:38,570 And again, this is going to be really essential when we 102 00:06:38,570 --> 00:06:42,130 start to fine map human genes. 7644

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