1 00:00:01,000 --> 00:00:08,000 Good morning. Good morning. Yes. So I want to pick up where we 2 00:00:08,000 --> 00:00:17,000 were last time. We talked last time about Mendel's 3 00:00:17,000 --> 00:00:25,000 elegant experimental design. And not just elegant but very 4 00:00:25,000 --> 00:00:34,000 careful, too, in having organisms that bred true. 5 00:00:34,000 --> 00:00:38,000 And a lot of work went into that. We talked about his observations 6 00:00:38,000 --> 00:00:43,000 and his really great choice to count. We talked about his ability to look 7 00:00:43,000 --> 00:00:48,000 at numbers that were approximate and somehow intuit what was interesting 8 00:00:48,000 --> 00:00:53,000 about them. Namely, he had to take rough numbers and say, 9 00:00:53,000 --> 00:00:58,000 hmm, I think this is a 3:1 ratio, although that was an abstraction, 10 00:00:58,000 --> 00:01:03,000 but a very good on his part. And it's hard to know when to make 11 00:01:03,000 --> 00:01:07,000 those leaps and when you're kidding yourself, but Mendel got a lot of 12 00:01:07,000 --> 00:01:11,000 data. I didn't mention that he worked on not just round and 13 00:01:11,000 --> 00:01:15,000 wrinkled, but he worked on seven different traits across pea plants. 14 00:01:15,000 --> 00:01:19,000 All seven showed these very consistent properties. 15 00:01:19,000 --> 00:01:23,000 There was a recessive and a dominant phenotype and then a 16 00:01:23,000 --> 00:01:27,000 first-generation. The dominant phenotype by 17 00:01:27,000 --> 00:01:32,000 definition was evident in full force. 18 00:01:32,000 --> 00:01:35,000 And in the second-generation we saw 3:1 segregation. 19 00:01:35,000 --> 00:01:39,000 He felt pretty good about that. He made other predictions based on 20 00:01:39,000 --> 00:01:43,000 this. And he was able to put together a very coherent story. 21 00:01:43,000 --> 00:01:46,000 And, as I also explained last time, it sunk like a stone because it was 22 00:01:46,000 --> 00:01:50,000 an utterly abstract story, the idea that there were these 23 00:01:50,000 --> 00:01:54,000 particles of inheritance, factors of inheritance. You 24 00:01:54,000 --> 00:01:58,000 couldn't put your finger on them, and people hate stuff you cannot put 25 00:01:58,000 --> 00:02:02,000 your finger on. They say it's just a model. 26 00:02:02,000 --> 00:02:08,000 Well, as I mentioned last time, the discovery of chromosomes in 27 00:02:08,000 --> 00:02:14,000 cells really laid the foundation for the beginning of a rebirth of 28 00:02:14,000 --> 00:02:19,000 interest in Mendelism, in Mendel's ideas. And the 29 00:02:19,000 --> 00:02:25,000 interesting part of that characterization of chromosomes was 30 00:02:25,000 --> 00:02:31,000 the choreography that we talked about last time. 31 00:02:31,000 --> 00:02:35,000 That normally in cells undergoing mitosis, normal mitotic division to 32 00:02:35,000 --> 00:02:39,000 make more and more cells, when you stained the cells and 33 00:02:39,000 --> 00:02:43,000 looked at them before they went into mitosis you saw these X-like 34 00:02:43,000 --> 00:02:47,000 structures. However many there were, they lined up along the midline of 35 00:02:47,000 --> 00:02:51,000 the cell. They appeared then to sometimes you could even see them 36 00:02:51,000 --> 00:02:55,000 kind of attached to something pulling them back. 37 00:02:55,000 --> 00:02:59,000 And they would pull back to make two cells each of which 38 00:02:59,000 --> 00:03:03,000 had half of the X. Somebody asked last time, 39 00:03:03,000 --> 00:03:07,000 I drew four chromosomes, was that because cells have four chromosomes? 40 00:03:07,000 --> 00:03:11,000 And the answer was no. It's because I had room to draw four 41 00:03:11,000 --> 00:03:15,000 chromosomes in that cell. And so this time I drew six 42 00:03:15,000 --> 00:03:19,000 chromosomes to indicate that you can have different numbers of 43 00:03:19,000 --> 00:03:23,000 chromosomes. They are usually, but I should note not always, an 44 00:03:23,000 --> 00:03:27,000 even number of chromosomes in higher organisms. But anyway. 45 00:03:27,000 --> 00:03:31,000 So I drew six this time. And what's interesting was this 46 00:03:31,000 --> 00:03:35,000 meiosis. The generation of sperm and eggs, for example, 47 00:03:35,000 --> 00:03:39,000 in animals, they are the chromosomes lined up with a different 48 00:03:39,000 --> 00:03:43,000 choreography. They lined up in pairs. And where you could see 49 00:03:43,000 --> 00:03:47,000 differences in the shapes of chromosomes, like maybe the little 50 00:03:47,000 --> 00:03:51,000 crossing point was lowered down or the chromosomes were shorter in 51 00:03:51,000 --> 00:03:55,000 length, there would appear to find their own partner, 52 00:03:55,000 --> 00:03:59,000 the one that had the same basic shape. And they would line up in 53 00:03:59,000 --> 00:04:03,000 pairs. And then they would undergo a series of two divisions, 54 00:04:03,000 --> 00:04:07,000 a meiotic one division, meiosis one and a second division, meiosis two. 55 00:04:07,000 --> 00:04:12,000 And in meiosis one you would get one copy of each pair. 56 00:04:12,000 --> 00:04:18,000 Then it would undergo a second round of division that looked very 57 00:04:18,000 --> 00:04:23,000 much like mitosis where these X structures would be split into two 58 00:04:23,000 --> 00:04:29,000 pieces. The notion then that pairs would go to singletons and then upon 59 00:04:29,000 --> 00:04:35,000 fertilization singletons would come together to reconstitute a pair 60 00:04:35,000 --> 00:04:40,000 really did fit Mendel. And thus was born the Chromosomal 61 00:04:40,000 --> 00:04:45,000 Theory of Inheritance. So, whoops, the Chromosomal Theory 62 00:04:45,000 --> 00:04:50,000 of Inheritance. Are you overwhelmed by the 63 00:04:50,000 --> 00:04:55,000 Chromosomal Theory of Inheritance? Have I given you overwhelming 64 00:04:55,000 --> 00:05:00,000 evidence to believe it? No. How come? 65 00:05:00,000 --> 00:05:06,000 It seems natural to you now. 66 00:05:06,000 --> 00:05:09,000 But, I mean, you know, the only evidence is that there's something 67 00:05:09,000 --> 00:05:13,000 else that has got pairs in cells, right? What's to say that some 68 00:05:13,000 --> 00:05:16,000 other thing that pairs up in cells actually is the carrier of genes? 69 00:05:16,000 --> 00:05:19,000 The Chromosomal Theory of Inheritance is that Mendel's 70 00:05:19,000 --> 00:05:23,000 abstract factors, genes live on these chromosomes, 71 00:05:23,000 --> 00:05:26,000 are these chromosomes, or something like that. They're carried 72 00:05:26,000 --> 00:05:29,000 by these chromosomes. And simply the fact that the 73 00:05:29,000 --> 00:05:33,000 choreography of the chromosomes is not the same, oh, 74 00:05:33,000 --> 00:05:36,000 sorry, is the same as the choreography of Mendel's genes, 75 00:05:36,000 --> 00:05:40,000 that's correlation. In fact, it's ex post facto correlation. 76 00:05:40,000 --> 00:05:43,000 I didn't have any prediction that these chromosomes would do it. 77 00:05:43,000 --> 00:05:47,000 I just saw that the chromosomes did it and I said, 78 00:05:47,000 --> 00:05:51,000 OK, you know, that could explain Mendel's observations about genes. 79 00:05:51,000 --> 00:05:54,000 And there's a world of difference between that could explain, 80 00:05:54,000 --> 00:05:58,000 that is consistent with the data, and that presents a compelling case 81 00:05:58,000 --> 00:06:01,000 that this is true. So there were some people who 82 00:06:01,000 --> 00:06:05,000 immediately bought into the idea of the Chromosomal Theory of 83 00:06:05,000 --> 00:06:08,000 Inheritance, and there were other people who remained great skeptics 84 00:06:08,000 --> 00:06:12,000 about this, that these chromosomes were themselves quite irrelevant to 85 00:06:12,000 --> 00:06:16,000 inheritance. And indeed many people who, at this point, 86 00:06:16,000 --> 00:06:19,000 the early 20th century, felt that the whole business of 87 00:06:19,000 --> 00:06:23,000 genes was still not such an overwhelming idea anyway. 88 00:06:23,000 --> 00:06:27,000 And trying to unit these two was going a bit far out. 89 00:06:27,000 --> 00:06:31,000 So now I have to bring you back to some of the things that we left 90 00:06:31,000 --> 00:06:36,000 unresolved last time, which is Mendel's Second Law of 91 00:06:36,000 --> 00:06:41,000 Inheritance. Because if we're really going to start building a 92 00:06:41,000 --> 00:06:45,000 case that chromosomes really do carry genes then we better get some 93 00:06:45,000 --> 00:06:50,000 serious consistency with much more complex aspects of the theory or we 94 00:06:50,000 --> 00:06:55,000 better look for some contradictions. So you recall, and I mentioned, 95 00:06:55,000 --> 00:07:00,000 that Mendel studies seven different traits. 96 00:07:00,000 --> 00:07:05,000 Two of them, roundness and greenness, both dominant phenotypes underlain 97 00:07:05,000 --> 00:07:10,000 by these hypothetical genes, big R, big R, big G, big G, and the 98 00:07:10,000 --> 00:07:15,000 recessive traits associated with these same genes, 99 00:07:15,000 --> 00:07:21,000 wrinkled and yellow, little R, little R, little G, 100 00:07:21,000 --> 00:07:26,000 little G. When you make a first-generation cross what 101 00:07:26,000 --> 00:07:31,000 do you get? Sorry? You get round and green 102 00:07:31,000 --> 00:07:35,000 phenotypically. And genotypically what are they? 103 00:07:35,000 --> 00:07:39,000 Big R, little R, big G, little G, right? That would be the genotype. 104 00:07:39,000 --> 00:07:44,000 These organisms would be heterozygotes. 105 00:07:44,000 --> 00:07:48,000 In fact, they would be double heterozygotes. 106 00:07:48,000 --> 00:07:52,000 They'd be a heterozygote for the gene that controls shape and they'd 107 00:07:52,000 --> 00:07:57,000 be heterozygous for the gene that controls seed color. 108 00:07:57,000 --> 00:08:01,000 OK? Now, suppose we do a cross back to RRGG, the parent that has 109 00:08:01,000 --> 00:08:06,000 the recessive phenotype for both of these traits. 110 00:08:06,000 --> 00:08:11,000 We're practicing our words here, right? What will this parent, the 111 00:08:11,000 --> 00:08:16,000 second parent contribute in its gametes? What will the gametes from 112 00:08:16,000 --> 00:08:21,000 that parent be? Little R, little G. 113 00:08:21,000 --> 00:08:26,000 They have to be little R, little G because that's all it's got 114 00:08:26,000 --> 00:08:32,000 to offer. So little R, little G. 115 00:08:32,000 --> 00:08:38,000 OK? What will this parent contribute? It could give a big R, 116 00:08:38,000 --> 00:08:44,000 big G. Could give a little R, little G. Could give, 117 00:08:44,000 --> 00:08:50,000 in principle, a little R, big G or a big R, little G. 118 00:08:50,000 --> 00:08:56,000 In theory any of those are possible. And what's the ratio 119 00:08:56,000 --> 00:09:03,000 that Mendel reports? 1:1:1:1:1, so equal. 120 00:09:03,000 --> 00:09:09,000 That's right. 1:1:1:1. That's the independent assortment 121 00:09:09,000 --> 00:09:15,000 of traits. That's what he calls this. Independent assortment 122 00:09:15,000 --> 00:09:25,000 of traits. 123 00:09:25,000 --> 00:09:28,000 That is to say the inheritance of round and the inheritance of green 124 00:09:28,000 --> 00:09:32,000 are uncorrelated to each other, right? 125 00:09:32,000 --> 00:09:36,000 Knowing which one you got for roundness, which one you got for 126 00:09:36,000 --> 00:09:40,000 greenness, they don't convey any information about each other. 127 00:09:40,000 --> 00:09:45,000 So how could we explain this in terms of Chromosomal Theory of 128 00:09:45,000 --> 00:09:49,000 Inheritance? Well, we could explain this in terms of 129 00:09:49,000 --> 00:09:54,000 the Chromosomal Theory of Inheritance by saying, 130 00:09:54,000 --> 00:09:58,000 for example, that in this heterozygous parent here big R and 131 00:09:58,000 --> 00:10:02,000 little R were carried on chromosomes that paired up with each other, 132 00:10:02,000 --> 00:10:07,000 homologous chromosomes. And big G, little G were carried on 133 00:10:07,000 --> 00:10:12,000 a different pair of homologous chromosomes in my meiosis picture 134 00:10:12,000 --> 00:10:17,000 there. OK? So if that was the case then when these chromosomes 135 00:10:17,000 --> 00:10:22,000 segregated in the first meiosis step, meiosis one, it might be that big R 136 00:10:22,000 --> 00:10:27,000 and big G were on the left side. It might be big R and little G were 137 00:10:27,000 --> 00:10:32,000 on the left side. It might be that little R and big G 138 00:10:32,000 --> 00:10:38,000 were on one side, etc. Because these are different 139 00:10:38,000 --> 00:10:44,000 chromosomes. They could have chosen to line up in different ways. 140 00:10:44,000 --> 00:10:50,000 That's all cool. So Mendel's Law of Independent Assortment is 141 00:10:50,000 --> 00:10:56,000 consistent with the Chromosomal Theory, except we pointed out last 142 00:10:56,000 --> 00:11:02,000 time, except if big R and big G were on the same chromosome. 143 00:11:02,000 --> 00:11:06,000 Then we'd have some explaining to do. So maybe Mendel was just lucky and 144 00:11:06,000 --> 00:11:11,000 big R and big G happened to be on different chromosomes. 145 00:11:11,000 --> 00:11:16,000 But what if he takes a third trait? Well, maybe the reason he got 146 00:11:16,000 --> 00:11:21,000 1:1:1:1 for those traits was it was also on a different chromosome, 147 00:11:21,000 --> 00:11:26,000 a fourth trait. And I said he studied how many traits? 148 00:11:26,000 --> 00:11:31,000 Seven traits. If they all gave 1:1:1:1 assortment they'd all have 149 00:11:31,000 --> 00:11:36,000 to be on different chromosomes. How many chromosomes do peas have? 150 00:11:36,000 --> 00:11:40,000 How many pairs of chromosomes do peas have? Seven. 151 00:11:40,000 --> 00:11:44,000 Very interesting. He might have just gotten lucky. 152 00:11:44,000 --> 00:11:49,000 In fact, he did. We know that. They are on different chromosomes. 153 00:11:49,000 --> 00:11:53,000 Though, it makes you wonder whether maybe he had an eighth trait that 154 00:11:53,000 --> 00:11:57,000 did something funny and decided not to put it in this paper. 155 00:11:57,000 --> 00:12:02,000 I don't know. It's interesting. Like I say, there's choice involved 156 00:12:02,000 --> 00:12:06,000 in what you want to report at what point here. So suppose we instead 157 00:12:06,000 --> 00:12:10,000 had big R and big G, little R and little G happen to have 158 00:12:10,000 --> 00:12:14,000 been on the same chromosome. Then they would have been inherited 159 00:12:14,000 --> 00:12:19,000 from the common parent here, say from here into the F1. The F1 160 00:12:19,000 --> 00:12:23,000 would look like this. If they were on different 161 00:12:23,000 --> 00:12:27,000 chromosomes it would look like this. If it were from the same chromosome 162 00:12:27,000 --> 00:12:32,000 it would look like this. And now let's make a little 163 00:12:32,000 --> 00:12:37,000 scorecard of what's going to get passed onto the next generation. 164 00:12:37,000 --> 00:12:43,000 We've got the possibility that it will pass on. This one could pass 165 00:12:43,000 --> 00:12:48,000 on. Oh, let's keep score. Big R, big G could get passed on. 166 00:12:48,000 --> 00:12:53,000 Little R, little G could get passed on. Big R, little G could be passed 167 00:12:53,000 --> 00:12:59,000 on. And little R, big G could be passed on. 168 00:12:59,000 --> 00:13:04,000 And if they are on different chromosomes we expect a quarter, 169 00:13:04,000 --> 00:13:09,000 a quarter, a quarter and a quarter. But if they're on the same 170 00:13:09,000 --> 00:13:13,000 chromosome what do we expect? What will come out of this? Either 171 00:13:13,000 --> 00:13:18,000 you're going to get this, in which case you get both big R and 172 00:13:18,000 --> 00:13:23,000 big G, or you're going to get this one, in which case you get little R 173 00:13:23,000 --> 00:13:27,000 and little G, a half, a half, zero, zero. Ooh, 174 00:13:27,000 --> 00:13:32,000 that's very different. What is Mendel's Law of Independent 175 00:13:32,000 --> 00:13:37,000 Assortment say? It favors this. 176 00:13:37,000 --> 00:13:42,000 But Mendel's Law of Independent Assortment cannot possibly be right 177 00:13:42,000 --> 00:13:47,000 if we see this. So Mendel didn't observe this. 178 00:13:47,000 --> 00:13:52,000 But if we really believe this Chromosomal Theory we would expect 179 00:13:52,000 --> 00:13:57,000 to see it eventually. So who's going to be right, 180 00:13:57,000 --> 00:14:03,000 Mendel or Chromosomal Theory? You vote for both. 181 00:14:03,000 --> 00:14:09,000 How many vote for Mendel? How many vote for Chromosomal 182 00:14:09,000 --> 00:14:15,000 Theory? How many vote for both? How can you have both? The data 183 00:14:15,000 --> 00:14:22,000 would be contradictory. How many vote for neither? 184 00:14:22,000 --> 00:14:28,000 Hmm. OK. Fine. So we have a very different prediction. 185 00:14:28,000 --> 00:14:35,000 Notice that these are the parental types of chromosomes. 186 00:14:35,000 --> 00:14:39,000 They're the ones that went into the cross in the first place, 187 00:14:39,000 --> 00:14:43,000 big R and big G. These are the non-parental types of chromosomes. 188 00:14:43,000 --> 00:14:47,000 They're the ones, they're the combinations, a big R and a big G 189 00:14:47,000 --> 00:14:51,000 that didn't match either of the two parents. That's a new combination. 190 00:14:51,000 --> 00:14:55,000 Well, it took a while before folks sorted this out. 191 00:14:55,000 --> 00:15:00,000 And it was eventually sorted out in fruit flies. 192 00:15:00,000 --> 00:15:07,000 And it is, of course, the case that neither Mendel nor 193 00:15:07,000 --> 00:15:14,000 this strict prediction from the Chromosomal Theory turns out to be 194 00:15:14,000 --> 00:15:21,000 correct. Mendel's Law of Independent Assortment does not hold 195 00:15:21,000 --> 00:15:28,000 for all traits, but this very rigid model of two 196 00:15:28,000 --> 00:15:34,000 alternatives does not hold either. So let's take a look at some real 197 00:15:34,000 --> 00:15:38,000 data. The data comes from Thomas Hunt Morgan, a developmental 198 00:15:38,000 --> 00:15:42,000 biologist who eventually became one of the great geneticists of the 199 00:15:42,000 --> 00:15:46,000 century at Columbia. He was at Columbia University 200 00:15:46,000 --> 00:15:50,000 studying fruit flies. And he studies fruit flies rather 201 00:15:50,000 --> 00:15:54,000 than peas. Can you think of any good reasons why it would make sense 202 00:15:54,000 --> 00:15:58,000 to study fruit flies rather than peas? Sorry? It has four 203 00:15:58,000 --> 00:16:03,000 chromosomes instead of seven. No, four, seven. 204 00:16:03,000 --> 00:16:06,000 Anybody been to Columbia University? I mean where are you going to plant 205 00:16:06,000 --> 00:16:10,000 peas, right? [LAUGHTER] I mean it's in Manhattan. 206 00:16:10,000 --> 00:16:14,000 Also, what else is wrong with studying peas? 207 00:16:14,000 --> 00:16:18,000 They take too long. How many generations of peas are 208 00:16:18,000 --> 00:16:22,000 you going to get a year in Manhattan? Not so many. Fruit flies, 209 00:16:22,000 --> 00:16:26,000 how long do they take? A couple weeks. You get a generation every 210 00:16:26,000 --> 00:16:30,000 couple weeks. If you actually want to write some papers. 211 00:16:30,000 --> 00:16:33,000 I mean if you have a day job as a monk, you can do these pea things 212 00:16:33,000 --> 00:16:36,000 that take a long time. But, for example, if you were 213 00:16:36,000 --> 00:16:40,000 trying to get tenure at Columbia, you might want to actually do 214 00:16:40,000 --> 00:16:43,000 something that you could get a couple generations every month or 215 00:16:43,000 --> 00:16:47,000 something like that. So the fruit fly was much better. 216 00:16:47,000 --> 00:16:50,000 They also, you know, they don't take fields and things. 217 00:16:50,000 --> 00:16:53,000 You grow them in little vials with some food at the bottom, 218 00:16:53,000 --> 00:16:57,000 some yeast medium at the bottom and a little cotton stopper at the top. 219 00:16:57,000 --> 00:17:01,000 And, you know, it's very convenient. You can grow zillions and zillions 220 00:17:01,000 --> 00:17:05,000 of fruit flies. So that's why the fruit fly was 221 00:17:05,000 --> 00:17:10,000 chosen, easy, short generation time, etc. And there are a lot of natural 222 00:17:10,000 --> 00:17:14,000 variations out there. Geneticists love to choose 223 00:17:14,000 --> 00:17:18,000 organisms that are just easy to work with so you can do a lot of work. 224 00:17:18,000 --> 00:17:23,000 And fruit flies do have four chromosomes. So N equals four. 225 00:17:23,000 --> 00:17:27,000 That is four pairs of chromosomes. So he set up a cross. The F0 cross 226 00:17:27,000 --> 00:17:32,000 was between a normal fly. And the way we say normal in 227 00:17:32,000 --> 00:17:36,000 genetics in wild type. OK? Wild type. That is the type 228 00:17:36,000 --> 00:17:40,000 in the wild. It actually doesn't mean that it is the type in the wild. 229 00:17:40,000 --> 00:17:44,000 It means it's whatever type the geneticist has chosen as his or her 230 00:17:44,000 --> 00:17:48,000 reference strain, but it's called wild type. 231 00:17:48,000 --> 00:17:52,000 And he set up a cross between a wild type fly, 232 00:17:52,000 --> 00:17:56,000 by a fly that had two interesting properties. Its body was black and 233 00:17:56,000 --> 00:18:00,000 its wings were in bad shape, and they were called vestigial. 234 00:18:00,000 --> 00:18:04,000 You know, these funny little wingy things that didn't' work, 235 00:18:04,000 --> 00:18:07,000 hadn't grown out right, etc. So instead of the normal fly body 236 00:18:07,000 --> 00:18:11,000 color, which is kind of a tan around its middle, it was black all around 237 00:18:11,000 --> 00:18:15,000 its middle and its wings were very short. The hypothesis is that there 238 00:18:15,000 --> 00:18:18,000 were genes controlling. And, in fact, by demonstrating 239 00:18:18,000 --> 00:18:22,000 Mendelian Inheritance black was a single Mendelian trait which was 240 00:18:22,000 --> 00:18:26,000 recessive to the normal body color, vestigial was a single Mendelian 241 00:18:26,000 --> 00:18:30,000 trait which was recessive to the normal body shape. 242 00:18:30,000 --> 00:18:34,000 And the genotype of wild type was homozygous normal, 243 00:18:34,000 --> 00:18:38,000 which I'll write as plus over plus now. Geneticists actually prefer 244 00:18:38,000 --> 00:18:42,000 these plus terms rather than big Rs and little Rs. 245 00:18:42,000 --> 00:18:47,000 Plus over plus. And we'll take a female and we'll 246 00:18:47,000 --> 00:18:51,000 cross her to a male who is homozygous for the gene that 247 00:18:51,000 --> 00:18:55,000 controls the body color there and this gene that controls wing shape, 248 00:18:55,000 --> 00:19:00,000 and we'll look at the offspring. So makes F1. 249 00:19:00,000 --> 00:19:05,000 The F1 have what genotype? They're plus over black, plus over 250 00:19:05,000 --> 00:19:10,000 vestigial F1. OK? So then what he does is he takes, 251 00:19:10,000 --> 00:19:16,000 say these males, and he crosses them back to these flies here that have 252 00:19:16,000 --> 00:19:21,000 the doubly recessive phenotype doing what we call a test cross. 253 00:19:21,000 --> 00:19:27,000 That's now the name. We're beginning to introduce 254 00:19:27,000 --> 00:19:32,000 more of these names. A test cross, when you cross back to 255 00:19:32,000 --> 00:19:36,000 the homozygote for the recessive phenotype. And what he gets out, 256 00:19:36,000 --> 00:19:41,000 the same exact picture I drew before, but we're just getting used to 257 00:19:41,000 --> 00:19:46,000 nomenclature and getting used to slightly different nomenclatures 258 00:19:46,000 --> 00:19:50,000 here. He could either get, he always got black, vestigial, 259 00:19:50,000 --> 00:19:55,000 black, vestigial, black, vestigial from the parent on the right. 260 00:19:55,000 --> 00:20:00,000 And here he could get plus, plus, he could get black, vestigial, he 261 00:20:00,000 --> 00:20:04,000 could get black, plus or he could get plus, 262 00:20:04,000 --> 00:20:09,000 vestigial. And, as we said over there, 263 00:20:09,000 --> 00:20:14,000 the predictions would be that if these were on different chromosomes 264 00:20:14,000 --> 00:20:19,000 he would get 25%, 25%, 25%, 25%. If they were on the 265 00:20:19,000 --> 00:20:24,000 same chromosome under a very simple interpretation of the Chromosomal 266 00:20:24,000 --> 00:20:30,000 Theory of Inheritance, he would get 50%, 50%, zero, zero. 267 00:20:30,000 --> 00:20:38,000 And, in fact, what did he get? 965, 944, 206 and 185. What do you 268 00:20:38,000 --> 00:20:46,000 make of it? Which theory is confirmed? Neither? 269 00:20:46,000 --> 00:20:54,000 Well, maybe this is just a statistical fluctuation 270 00:20:54,000 --> 00:21:04,000 around the first line. 271 00:21:04,000 --> 00:21:08,000 You don't think so? How come? Way too wild. 272 00:21:08,000 --> 00:21:12,000 But, I mean, these are wild type so maybe. [LAUGHTER] So do you think 273 00:21:12,000 --> 00:21:16,000 those numbers are too far off, a quarter, quarter, quarter to be 274 00:21:16,000 --> 00:21:20,000 believable? Ooh. Not only are they way off 25%, 275 00:21:20,000 --> 00:21:24,000 25%, 25%, 25%, but something is fishy. The two parental types are 276 00:21:24,000 --> 00:21:28,000 much higher than the two non-parental types. 277 00:21:28,000 --> 00:21:32,000 That's saying something to you. Oh, interesting. 278 00:21:32,000 --> 00:21:35,000 What about this other one, 50%, 50%, zero, zero? Could this be 279 00:21:35,000 --> 00:21:38,000 a fluctuation around zero? No. This one is really pretty easy 280 00:21:38,000 --> 00:21:41,000 to reject because zero, this is not like close to zero. 281 00:21:41,000 --> 00:21:44,000 This should be zero. You shouldn't see any of those, 282 00:21:44,000 --> 00:21:47,000 right? Because they didn't go in if they were on the same chromosome. 283 00:21:47,000 --> 00:21:50,000 So what are we going to do? We're acting like Mendel, 284 00:21:50,000 --> 00:21:53,000 good. We're seeing something funny in the data here. 285 00:21:53,000 --> 00:21:56,000 You even saw something that is beyond just, it's a little weird, 286 00:21:56,000 --> 00:21:59,000 but it's actually a little weird in some interesting direction. 287 00:21:59,000 --> 00:22:02,000 How many of them are of the parental type? 288 00:22:02,000 --> 00:22:06,000 Well, it's 965 plus 944. How many are the non-parental type? 289 00:22:06,000 --> 00:22:11,000 It's 206 plus 185. So let's figure out what's the proportion, 290 00:22:11,000 --> 00:22:23,000 the frequency of non-parental types. 291 00:22:23,000 --> 00:22:37,000 Well, it's 206 plus 185 over 206 plus 185 plus 965 plus 292 00:22:37,000 --> 00:22:46,000 944, which is 17%. OK, so it's 17%. 293 00:22:46,000 --> 00:22:52,000 We now know what the answer is. When you take two traits and you 294 00:22:52,000 --> 00:22:57,000 cross them in this fashion, two recessive traits and do a test 295 00:22:57,000 --> 00:23:03,000 cross, the ratio will neither be 25%, 25%, 25%, 25% or it's not going to 296 00:23:03,000 --> 00:23:09,000 be 50%, 50%, zero, zero. In fact, it will always be 17%. 297 00:23:09,000 --> 00:23:16,000 Why not? But Mendel looks at his data, and he said 3:1. 298 00:23:16,000 --> 00:23:23,000 It's trying to say 3:1. Isn't this trying to say 17%? 299 00:23:23,000 --> 00:23:30,000 Yeah. Well, see, that's the thing, is what to make of this number. 300 00:23:30,000 --> 00:23:33,000 What does this 17% mean? Now, of course, you all know that 301 00:23:33,000 --> 00:23:36,000 this is genetic recombination, right? You know that these 302 00:23:36,000 --> 00:23:39,000 chromosomes are exchanging material. I cannot kid you about that. But 303 00:23:39,000 --> 00:23:42,000 put yourself in the days of Thomas Hunt Morgan looking at these data 304 00:23:42,000 --> 00:23:45,000 and trying to figure out what is this 17% trying to tell him. 305 00:23:45,000 --> 00:23:48,000 There were people around Columbia and elsewhere who were saying, 306 00:23:48,000 --> 00:23:51,000 oh, this 17% number says a lot about physiology. It's a statement about 307 00:23:51,000 --> 00:23:54,000 the developmental relationship of genes. And they were trying to read 308 00:23:54,000 --> 00:23:58,000 all sorts of things into these numbers. 309 00:23:58,000 --> 00:24:02,000 The first thing is let's test some more pairs of traits. 310 00:24:02,000 --> 00:24:07,000 How about another pair? If you do that, do you get 17%? 311 00:24:07,000 --> 00:24:11,000 No. It turns out maybe you get 8%. You do it with another pair, maybe 312 00:24:11,000 --> 00:24:16,000 you get 9%. So it's not a constant. We can reject the idea that 17% is 313 00:24:16,000 --> 00:24:20,000 some constant like e or one over pi or something like that. 314 00:24:20,000 --> 00:24:25,000 But we look at these numbers, and a lot of folks wanted to 315 00:24:25,000 --> 00:24:29,000 interpret these as physiological numbers. Something about the 316 00:24:29,000 --> 00:24:38,000 biology of these traits. So -- 317 00:24:38,000 --> 00:24:42,000 -- we can give this thing a name, the frequency of non-parental types. 318 00:24:42,000 --> 00:24:47,000 We can call this the Recombination Rate. Because we've got new 319 00:24:47,000 --> 00:24:51,000 combinations, right? This recombination rate might mean, 320 00:24:51,000 --> 00:24:56,000 and you know already that you're thinking what it really means is -- 321 00:24:56,000 --> 00:25:12,000 -- somehow we have black, 322 00:25:12,000 --> 00:25:19,000 black, plus, plus. And in the F1 we have vestigial, 323 00:25:19,000 --> 00:25:26,000 vestigial, plus, plus. And that somehow these two 324 00:25:26,000 --> 00:25:33,000 chromosomes have exchanged genetic material so that the new chromosome 325 00:25:33,000 --> 00:25:39,000 you get is like this. And you get a recombinant type. 326 00:25:39,000 --> 00:25:45,000 You get recombination between these chromosomes. And there's a 327 00:25:45,000 --> 00:25:51,000 recombination rate. And the recombination rate is how 328 00:25:51,000 --> 00:25:57,000 often this kind of an exchange occurs. And what does the 329 00:25:57,000 --> 00:26:02,000 recombination rate depend on? The distance between those two genes. 330 00:26:02,000 --> 00:26:06,000 You know this because you've been told this since kindergarten, 331 00:26:06,000 --> 00:26:10,000 right? It's in all the high school textbooks and things like or 332 00:26:10,000 --> 00:26:15,000 whatever. They teach genetics earlier and earlier these days and 333 00:26:15,000 --> 00:26:19,000 it's on TV and stuff. But that's a nice idea that the 334 00:26:19,000 --> 00:26:24,000 recombination rate depends on the distance. And this rate, 335 00:26:24,000 --> 00:26:28,000 which might be 17% or it might be 1% or it might be 8% or it might be who 336 00:26:28,000 --> 00:26:33,000 knows, depends on the distances, reflection of the distance. 337 00:26:33,000 --> 00:26:36,000 But, golly, what's the evidence for that? Aren't we just making up a 338 00:26:36,000 --> 00:26:40,000 theory to explain the data here? We don't have a theory to, we're 339 00:26:40,000 --> 00:26:44,000 just trying to fix the Chromosomal Theory. The Chromosomal Theory 340 00:26:44,000 --> 00:26:47,000 wouldn't predict these recombinant types. It would have predicted we 341 00:26:47,000 --> 00:26:51,000 only get parental types out. So because we do get non-parental 342 00:26:51,000 --> 00:26:55,000 types out we say, well, chromosomes are promiscuous 343 00:26:55,000 --> 00:26:59,000 and they'll exchange parts. Because we don't always get the same 344 00:26:59,000 --> 00:27:03,000 ratio, we have to make up the fact that somehow the ratio is different 345 00:27:03,000 --> 00:27:07,000 because of something, distance. We cannot observe 346 00:27:07,000 --> 00:27:12,000 distance. No way that Morgan was able to look at the chromosome and 347 00:27:12,000 --> 00:27:16,000 see where the genes were. So basically any number you want to 348 00:27:16,000 --> 00:27:21,000 give him, he'll just say it's the distance. This is not overwhelming. 349 00:27:21,000 --> 00:27:25,000 Now, what's even the evidence that chromosomes exchange material? 350 00:27:25,000 --> 00:27:30,000 Why do we think stuff like that even happens? 351 00:27:30,000 --> 00:27:34,000 Ah, it turns out you can take fruit fly gametes, and other gametes, 352 00:27:34,000 --> 00:27:38,000 and look at them in the microscope. What you do is to look at them 353 00:27:38,000 --> 00:27:43,000 closely, the chromosomes during meiosis. You put a cover slip on 354 00:27:43,000 --> 00:27:47,000 them, you squish them down, add a little dye and you look. 355 00:27:47,000 --> 00:27:52,000 And it turns out that really truly, when you look in the microscope, you 356 00:27:52,000 --> 00:27:56,000 can see stuff like that, of chromosomes lying on top of each 357 00:27:56,000 --> 00:28:01,000 other like that. These are called chiasmata, 358 00:28:01,000 --> 00:28:05,000 crosses. Chiasma or the plural chiasmata. You can see it in the 359 00:28:05,000 --> 00:28:09,000 microscope. So does that convincingly demonstrate that 360 00:28:09,000 --> 00:28:13,000 recombination occurs? Are you overwhelmed? Why not? 361 00:28:13,000 --> 00:28:18,000 Yeah. You put a bunch of chromosomes down, 362 00:28:18,000 --> 00:28:22,000 you put a glass cover slip and squish them. The fact that two 363 00:28:22,000 --> 00:28:26,000 things lie on top of each other, I mean this is what it takes to do 364 00:28:26,000 --> 00:28:30,000 science. Is you actually have to be pretty 365 00:28:30,000 --> 00:28:33,000 hardnosed about not being willing to take evidence that supports your 366 00:28:33,000 --> 00:28:36,000 theory just because it supports your theory. Skepticism is pretty 367 00:28:36,000 --> 00:28:40,000 important here. So you squish down the cover slip 368 00:28:40,000 --> 00:28:43,000 and sometimes, not always, sometimes some 369 00:28:43,000 --> 00:28:46,000 chromosome lands on top of some other chromosome. 370 00:28:46,000 --> 00:28:49,000 Big deal. So how are we going to actually get any convincing 371 00:28:49,000 --> 00:28:52,000 predictions? That's what it took with Mendel. What convincing 372 00:28:52,000 --> 00:28:55,000 predictions can we make that this recombination phenomenon has 373 00:28:55,000 --> 00:28:59,000 something to do with the disposition of genes along chromosomes? 374 00:28:59,000 --> 00:29:04,000 And, if so, might provide some support for the Chromosomal Theory 375 00:29:04,000 --> 00:29:09,000 of Inheritance? Well, when you're in a quandary, 376 00:29:09,000 --> 00:29:14,000 you've got some new area, you've got messy data, you need new thinking. 377 00:29:14,000 --> 00:29:19,000 Where do you get new thinking from? You get new thinking from students 378 00:29:19,000 --> 00:29:24,000 because old folks are thinking, you know, in whatever way they were 379 00:29:24,000 --> 00:29:29,000 thinking. So what you really need are young students to come along 380 00:29:29,000 --> 00:29:34,000 into the field and look at the data in some fresh way. 381 00:29:34,000 --> 00:29:39,000 So, in this case, the hero was a UROP student at 382 00:29:39,000 --> 00:29:44,000 Columbia. They didn't call it UROP, but it was the same thing. He was a 383 00:29:44,000 --> 00:29:49,000 sophomore working in the lab of Thomas Hunt Morgan who came along 384 00:29:49,000 --> 00:29:54,000 and solved this problem very nicely. You know, I think in part because 385 00:29:54,000 --> 00:30:00,000 sophomores had not been polluted by all sorts of prior thinking. 386 00:30:00,000 --> 00:30:05,000 So the idea of genetic maps arises through the work of one 387 00:30:05,000 --> 00:30:10,000 Alfred Sturtevant. Sturtevant was a sophomore at 388 00:30:10,000 --> 00:30:14,000 Columbia in 1911. And while an undergraduate working 389 00:30:14,000 --> 00:30:18,000 in the lab of Thomas Hunt Morgan, he went home, you know, he was 390 00:30:18,000 --> 00:30:22,000 working in the lab, and he took home a pile of data. 391 00:30:22,000 --> 00:30:26,000 And he said I've got to make sense out of all this data. 392 00:30:26,000 --> 00:30:30,000 I don't understand exactly what's going on. 393 00:30:30,000 --> 00:30:34,000 Here's some of the data he took home. Morgan's lab had set up crosses, 394 00:30:34,000 --> 00:30:39,000 not just involving two traits but three traits simultaneously. 395 00:30:39,000 --> 00:30:43,000 They actually set up crosses involving three traits, 396 00:30:43,000 --> 00:30:48,000 black, what's called cinnabar which is an eye color, 397 00:30:48,000 --> 00:30:52,000 and vestigial. And they looked at the F1 when crossing back to the 398 00:30:52,000 --> 00:30:57,000 triply homozygous fly here, and they counted the number of 399 00:30:57,000 --> 00:31:02,000 recombinant types of different sorts. 400 00:31:02,000 --> 00:31:05,000 You could look at recombinant types between black and vestigial. 401 00:31:05,000 --> 00:31:08,000 We've already got that data. You could look at recombinant types 402 00:31:08,000 --> 00:31:11,000 between black and cinnabar. You could look at recombinant types 403 00:31:11,000 --> 00:31:14,000 between cinnabar and vestigial. Now, I've drawn this as if these 404 00:31:14,000 --> 00:31:17,000 live on a chromosome and I know their order. You've got to remember, 405 00:31:17,000 --> 00:31:20,000 we don't know that they live on a chromosome. And Sturtevant 406 00:31:20,000 --> 00:31:23,000 certainly didn't know their order. OK? But I have to draw it for you, 407 00:31:23,000 --> 00:31:26,000 so I'm drawing it for you because the notation he would have used was 408 00:31:26,000 --> 00:31:30,000 much too messy and there's no point in learning it. 409 00:31:30,000 --> 00:31:36,000 So he begins to look at the data from these different crosses. 410 00:31:36,000 --> 00:31:42,000 What he finds is when he looks only at black and vestigial, 411 00:31:42,000 --> 00:31:49,000 so he ignores what happened with cinnabar, what's the recombination 412 00:31:49,000 --> 00:31:55,000 rate, the frequency with which he observes new types, 413 00:31:55,000 --> 00:32:01,000 non-parental types? Well, they had already done the 414 00:32:01,000 --> 00:32:05,000 experiment in the lab. And what's the answer? 415 00:32:05,000 --> 00:32:09,000 17%. Now, he then looks at black to cinnabar. So he just, 416 00:32:09,000 --> 00:32:13,000 you know, covers up the genotype of vestigial. There are four 417 00:32:13,000 --> 00:32:18,000 possibilities, black, cinnabar, 418 00:32:18,000 --> 00:32:22,000 black, plus, plus, cinnabar, black, cinnabar. 419 00:32:22,000 --> 00:32:26,000 He looks at the parental types, black, cinnabar or plus, plus. He 420 00:32:26,000 --> 00:32:30,000 looks at the non-parental types, the recombinant types, plus, 421 00:32:30,000 --> 00:32:34,000 cinnabar or black, plus. He counts up the number of 422 00:32:34,000 --> 00:32:36,000 non-parental types to the total number of flies and he gets a 423 00:32:36,000 --> 00:32:39,000 recombination rate of 9%. OK? So I'm just going to draw you 424 00:32:39,000 --> 00:32:41,000 this. He took out a piece of paper and he drew himself black, 425 00:32:41,000 --> 00:32:44,000 cinnabar, vestigial. He said I believe this has something to do 426 00:32:44,000 --> 00:32:47,000 with distance. This was 17%. The probability of a 427 00:32:47,000 --> 00:32:49,000 crossover occurring, of a recombination occurring between 428 00:32:49,000 --> 00:32:52,000 black and vestigial 17%. And the probability of a crossover 429 00:32:52,000 --> 00:32:54,000 occurring, the frequency of a crossover occurring between black 430 00:32:54,000 --> 00:32:57,000 and cinnabar was 9%. Got any prediction? Cinnabar, 431 00:32:57,000 --> 00:33:00,000 vestigial should be about 8%, give or take. 432 00:33:00,000 --> 00:33:09,000 But what if his picture is wrong. What's another picture that might 433 00:33:09,000 --> 00:33:19,000 be were cinnabar is? Oh, yeah. There's an alternative 434 00:33:19,000 --> 00:33:29,000 picture, isn't there? The alternative picture is black, 435 00:33:29,000 --> 00:33:39,000 vestigial, cinnabar over here at 9%, 17%. In which case, what's the 436 00:33:39,000 --> 00:33:49,000 prediction for cinnabar, vestigial? 26%, give or take, 437 00:33:49,000 --> 00:33:59,000 right? We've got to be a little rough about these things. 438 00:33:59,000 --> 00:34:04,000 Well, that's not a single prediction, but it's down to two alternatives. 439 00:34:04,000 --> 00:34:09,000 He's either expecting about 8% or he's expecting about 26%. 440 00:34:09,000 --> 00:34:25,000 So two alternative predictions. 441 00:34:25,000 --> 00:34:32,000 Cinnabar, vestigial combination rate 8%. Mm, that's good. 442 00:34:32,000 --> 00:34:39,000 That's very good. The first time anybody's made a prediction, 443 00:34:39,000 --> 00:34:46,000 and a quantitative prediction that's just gotten verified by data. 444 00:34:46,000 --> 00:34:53,000 Sturtevant also does one other interesting thing. 445 00:34:53,000 --> 00:35:00,000 He looks at a fourth thing, which is a little bit interesting. 446 00:35:00,000 --> 00:35:04,000 When I look at the types of gametes that can come out of her, 447 00:35:04,000 --> 00:35:08,000 right? If this idea of genetic recombination is correct, 448 00:35:08,000 --> 00:35:13,000 that sometimes in this F1 parent a crossover has occurred here, 449 00:35:13,000 --> 00:35:17,000 sometimes a crossover has occurred here, and the crossover here would 450 00:35:17,000 --> 00:35:22,000 give rise to black, plus, plus or plus, cinnabar, 451 00:35:22,000 --> 00:35:26,000 vestigial. Here it would give rise to black, cinnabar, 452 00:35:26,000 --> 00:35:31,000 plus or plus, plus, vestigial if it went the other way. 453 00:35:31,000 --> 00:35:37,000 Is it possible that occasionally, under this model, you might get two 454 00:35:37,000 --> 00:35:43,000 crossovers? Might it be the case, if we believe in this stuff, that a 455 00:35:43,000 --> 00:35:50,000 crossover might occur between black and cinnabar and a crossover might 456 00:35:50,000 --> 00:35:56,000 occur between vestigial and cinnabar? Could be. How often do you think 457 00:35:56,000 --> 00:36:02,000 that would happen? Sorry? Rarely. 458 00:36:02,000 --> 00:36:06,000 How rarely? What's the chance of a crossover here? 459 00:36:06,000 --> 00:36:10,000 About 9%, right? A crossover here? 460 00:36:10,000 --> 00:36:14,000 About 8%. Let's say 9%, 8% or about 10% just for roundness. 461 00:36:14,000 --> 00:36:19,000 There's about a 10% chance of a crossover in the first interval. 462 00:36:19,000 --> 00:36:23,000 It's about a 10% chance of a crossover in the second interval. 463 00:36:23,000 --> 00:36:27,000 It's about 1% of the time. Much lower than the others. 464 00:36:27,000 --> 00:36:31,000 But about 1% of the time you might see what kind of chromosomes 465 00:36:31,000 --> 00:36:37,000 emerging? Black plus, vestigial. 466 00:36:37,000 --> 00:36:43,000 So black plus, vestigial or plus, cinnabar, vestigial. These 467 00:36:43,000 --> 00:36:49,000 chromosomes, oops, plus. Thank you. These would be 468 00:36:49,000 --> 00:36:55,000 doubly recombinant chromosomes. They would need two recombination 469 00:36:55,000 --> 00:37:01,000 events to explain them. And you even have a prediction that 470 00:37:01,000 --> 00:37:05,000 you might see them at about 1%. And, sure enough, 471 00:37:05,000 --> 00:37:09,000 Sturtevant sees them. It's actually somewhat less than 1%. 472 00:37:09,000 --> 00:37:12,000 It turns out that double is a little less likely than the 473 00:37:12,000 --> 00:37:15,000 independent. There's a little bit of what's called interference, 474 00:37:15,000 --> 00:37:19,000 but don't worry about it. That's a second order effect. 475 00:37:19,000 --> 00:37:22,000 At a frequency of about 1% he sees double recombinants. 476 00:37:22,000 --> 00:37:26,000 That tells him who is in the middle. If cinnabar is the one that has 477 00:37:26,000 --> 00:37:29,000 this property, because if he asked how often does 478 00:37:29,000 --> 00:37:33,000 cinnabar get inherited together with plus, plus that's very rare. 479 00:37:33,000 --> 00:37:38,000 But vestigial gets inherited with plus, plus 9% of the time, 480 00:37:38,000 --> 00:37:44,000 black gets inherited with plus, plus, sorry, 8% or 9% of the time, 481 00:37:44,000 --> 00:37:50,000 but cinnabar is pretty rare. So all this together says that this model 482 00:37:50,000 --> 00:37:56,000 here of a linear chromosome is now making some pretty good quantitative 483 00:37:56,000 --> 00:38:01,000 predictions about what's going on. But of course this is just three 484 00:38:01,000 --> 00:38:05,000 different genes, black, cinnabar and vestigial. 485 00:38:05,000 --> 00:38:09,000 What would you like? More of them at least. Me, 486 00:38:09,000 --> 00:38:13,000 personally, I go for all. I'm with you. But he's an 487 00:38:13,000 --> 00:38:17,000 undergraduate and he's got what he can. So more. 488 00:38:17,000 --> 00:38:21,000 Well, it turns out that of course Morgan's lab was busily making 489 00:38:21,000 --> 00:38:25,000 crosses and all this kind of stuff and there was more data available. 490 00:38:25,000 --> 00:38:29,000 So when he saw this happening he said, all right, let's look 491 00:38:29,000 --> 00:38:34,000 at some more things. And he began, because there was so 492 00:38:34,000 --> 00:38:38,000 much data from the lab, going around and taking all this 493 00:38:38,000 --> 00:38:43,000 stuff, lobe and curved wing and other kinds of funny traits, 494 00:38:43,000 --> 00:38:47,000 and he began looking at frequencies. And he found this was about 9%. 495 00:38:47,000 --> 00:38:52,000 And this was about 8%. And he found this was about 5%. 496 00:38:52,000 --> 00:38:56,000 And he found that this was about 5%. And if these two were 5% 497 00:38:56,000 --> 00:39:01,000 his prediction was 10%. And his prediction here would be 13%, 498 00:39:01,000 --> 00:39:06,000 etc. And it all pretty closely checked out. This was highly 499 00:39:06,000 --> 00:39:11,000 constrained, the idea that the recombination rates would fit a 500 00:39:11,000 --> 00:39:17,000 simple linear model. It's not perfect, of course, 501 00:39:17,000 --> 00:39:22,000 because imagine what happens. Suppose I have 10%, 502 00:39:22,000 --> 00:39:27,000 10%, 10%, 10%, 10% and I have ten loci, you know, I have 503 00:39:27,000 --> 00:39:31,000 ten such intervals. What will the recombination rate be? 504 00:39:31,000 --> 00:39:35,000 100%. And then if have five more? 150%. What does that mean? 505 00:39:35,000 --> 00:39:38,000 So clearly something is wrong about just using percents. 506 00:39:38,000 --> 00:39:42,000 You have to kind of, I mean for the aficionados, 507 00:39:42,000 --> 00:39:45,000 really the percent reflects the number of crossovers. 508 00:39:45,000 --> 00:39:49,000 But obviously you have to do a little bit of correction because you 509 00:39:49,000 --> 00:39:52,000 cannot have, you know, if I keep piling on the intervals 510 00:39:52,000 --> 00:39:56,000 double crossovers will happen which won't produce recombinant types. 511 00:39:56,000 --> 00:40:00,000 But don't worry about it. We can just add percentages for today. 512 00:40:00,000 --> 00:40:04,000 And when you do all this it works. Sturtevant did this all in one 513 00:40:04,000 --> 00:40:08,000 evening. In his autobiography that he wrote about 50 years later he 514 00:40:08,000 --> 00:40:12,000 says I went home one evening, blew off all of my homework, and 515 00:40:12,000 --> 00:40:17,000 stayed up all night and was able to make sense out of all this data. 516 00:40:17,000 --> 00:40:21,000 So I think this is an example of a productive all-nighter. 517 00:40:21,000 --> 00:40:25,000 [LAUGHTER] And also this is an example of when it's the right 518 00:40:25,000 --> 00:40:29,000 choice to blow off your homework. If anyone wishes to do things like 519 00:40:29,000 --> 00:40:33,000 this and be as productive, you're certainly entitled to blow 520 00:40:33,000 --> 00:40:36,000 off the homework here, too. But do bring in good data like 521 00:40:36,000 --> 00:40:40,000 this when you're done. Anyway, this notion is a genetic 522 00:40:40,000 --> 00:40:44,000 map. A genetic map was a totally abstract concept, 523 00:40:44,000 --> 00:40:47,000 much like Mendel's abstract concept that there were even genes. 524 00:40:47,000 --> 00:40:51,000 Now we're going further and we're saying whatever genes are, 525 00:40:51,000 --> 00:40:54,000 we still don't know that they're DNA, etc. Whatever they are they live on 526 00:40:54,000 --> 00:40:58,000 a line, and they behave as if they live on a line, 527 00:40:58,000 --> 00:41:02,000 and they undergo recombinations, etc. 528 00:41:02,000 --> 00:41:05,000 And when I see a recombination rate, a recombination frequency, a 529 00:41:05,000 --> 00:41:09,000 recombination rate that's zero, it must mean the genes are very 530 00:41:09,000 --> 00:41:13,000 close together. If I see a recombination rate very, 531 00:41:13,000 --> 00:41:17,000 very close, never recombine, recombination rates, 532 00:41:17,000 --> 00:41:21,000 oh, I don't know, maybe 10% or something, well, 533 00:41:21,000 --> 00:41:25,000 there's some distance between them. And if they're further and further 534 00:41:25,000 --> 00:41:29,000 and further away, or on totally different chromosomes, 535 00:41:29,000 --> 00:41:33,000 what would be the recombination rate here for two different chromosomes? 536 00:41:33,000 --> 00:41:37,000 A half. Half of these are non-parental types. 537 00:41:37,000 --> 00:41:42,000 So when I get up to a recombination rate of 50% then it means that they 538 00:41:42,000 --> 00:41:46,000 live on, that they are so-called unlinked to each other. 539 00:41:46,000 --> 00:41:51,000 Either they are on different chromosomes entirely or I suppose 540 00:41:51,000 --> 00:41:56,000 it's possible, and in fact it is possible that 541 00:41:56,000 --> 00:42:00,000 they're so far away on the same chromosome that the probability of 542 00:42:00,000 --> 00:42:05,000 crossovers occurring is so high that they are de-correlated from each 543 00:42:05,000 --> 00:42:10,000 other and I cannot observe any recombination rate less than 50%, 544 00:42:10,000 --> 00:42:13,000 It turns out many chromosomes are sufficiently big that lots of 545 00:42:13,000 --> 00:42:16,000 crossovers can occur and you cannot actually detect linkage at the two 546 00:42:16,000 --> 00:42:19,000 ends of the chromosome. But if you string together some 547 00:42:19,000 --> 00:42:23,000 genes in between you can see that this is linked to this is linked to 548 00:42:23,000 --> 00:42:26,000 this is linked to this is linked to this is linked to this. 549 00:42:26,000 --> 00:42:30,000 OK? All right. Good. So Sturtevant is another one of my 550 00:42:30,000 --> 00:42:35,000 heroes because he comes up with this utterly abstract model here of 551 00:42:35,000 --> 00:42:40,000 chromosomes, of genetic maps. All right. I meant to get that 552 00:42:40,000 --> 00:42:45,000 board. Does someone have a call? OK. So last of all let me take 553 00:42:45,000 --> 00:42:50,000 Section 4 here. This begins to provide fairly 554 00:42:50,000 --> 00:42:55,000 convincing evidence for the Chromosomal Theory because it made a 555 00:42:55,000 --> 00:43:00,000 whole lot of pretty whacky predictions. 556 00:43:00,000 --> 00:43:05,000 And they pretty much hold up. Here's another thing that provided 557 00:43:05,000 --> 00:43:10,000 a lot of good evidence for it, and that was sex linkage. 558 00:43:10,000 --> 00:43:16,000 Also in Morgan's lab, 559 00:43:16,000 --> 00:43:21,000 which was a very productive place, I must say, folks were wondering 560 00:43:21,000 --> 00:43:27,000 about the fact that chromosomes, although they almost always occurred 561 00:43:27,000 --> 00:43:32,000 in pairs that lined up with each other perfectly, 562 00:43:32,000 --> 00:43:38,000 in many species there was one odd couple. 563 00:43:38,000 --> 00:43:44,000 A pair of chromosomes that always paired up with each other but they 564 00:43:44,000 --> 00:43:50,000 didn't look the same. This one looks like an X. 565 00:43:50,000 --> 00:43:56,000 This one kind of had the shape of a Y. And hence they got the names the 566 00:43:56,000 --> 00:44:02,000 X and the Y chromosomes. Now here was something very 567 00:44:02,000 --> 00:44:06,000 interesting. In fruit flies it was always the males that had an XY pair. 568 00:44:06,000 --> 00:44:11,000 In females it was always an XX pair. What does that tell us about these 569 00:44:11,000 --> 00:44:15,000 chromosomes and what they do? Sorry? Determines gender. Wait a 570 00:44:15,000 --> 00:44:19,000 minute. Why do you believe it determines gender? 571 00:44:19,000 --> 00:44:24,000 It just correlated with gender. Females have these two funny 572 00:44:24,000 --> 00:44:28,000 chromosomes. Males have, I'm sorry. Females have these two 573 00:44:28,000 --> 00:44:32,000 Xs. Males have an X and Y. 574 00:44:32,000 --> 00:44:36,000 Does it have to mean that they determine gender? 575 00:44:36,000 --> 00:44:40,000 Maybe gender determines them. Maybe what happens is that in 576 00:44:40,000 --> 00:44:43,000 female cells you get both chromosomes, but in male cells some 577 00:44:43,000 --> 00:44:47,000 enzyme comes along and chews off the end of the chromosome. 578 00:44:47,000 --> 00:44:50,000 No, no, really. Maybe this is some physiological state of the 579 00:44:50,000 --> 00:44:54,000 chromosomes. Why are you so ready to leap to the conclusion that the 580 00:44:54,000 --> 00:44:58,000 chromosomes determine sex, rather the gender, than the gender 581 00:44:58,000 --> 00:45:02,000 determines the chromosomes? It's because you know the answer, 582 00:45:02,000 --> 00:45:06,000 you've been told all this, etc. But I, again, invite you to take apart 583 00:45:06,000 --> 00:45:10,000 what support you have for that and ask how would you know, 584 00:45:10,000 --> 00:45:14,000 right? All of these things you get told, but how would you know? 585 00:45:14,000 --> 00:45:18,000 And there was great argument about was this really the case? 586 00:45:18,000 --> 00:45:22,000 So how could you convince people that this was true? 587 00:45:22,000 --> 00:45:27,000 It's not obvious to know which way it would go. 588 00:45:27,000 --> 00:45:32,000 The most convincing evidence, not the only evidence, but the most 589 00:45:32,000 --> 00:45:37,000 convincing evidence came from a single fly that had been isolated in 590 00:45:37,000 --> 00:45:43,000 Morgan's lab. And F0 fly that had the very interesting property that 591 00:45:43,000 --> 00:45:48,000 instead of the normal red drosophila eyes this fly had white eyes. 592 00:45:48,000 --> 00:45:54,000 Whereas, this was the normal fly with red eyes. And we'll 593 00:45:54,000 --> 00:45:58,000 use a female here. When you cross together the white 594 00:45:58,000 --> 00:46:01,000 eyed fly and the red eyed fly, what you find is that in the F1 595 00:46:01,000 --> 00:46:05,000 generation all the flies, males and females, are normal red 596 00:46:05,000 --> 00:46:12,000 eyes. 597 00:46:12,000 --> 00:46:20,000 When I take, however, a normal female and I cross her back, 598 00:46:20,000 --> 00:46:28,000 sorry. A normal female emerging from this F1 generation, 599 00:46:28,000 --> 00:46:36,000 and now I cross her to a normal male, here's what happens. 600 00:46:36,000 --> 00:46:50,000 All of her daughters are normal, but her sons, half are normal and 601 00:46:50,000 --> 00:47:07,000 half are white-eyed again. 602 00:47:07,000 --> 00:47:13,000 That's weird. For the first time we have a genetic trait, 603 00:47:13,000 --> 00:47:19,000 eye color, that is showing correlation in its inheritance with 604 00:47:19,000 --> 00:47:25,000 sex. So that says for the first time we're beginning to see 605 00:47:25,000 --> 00:47:31,000 something that looks like linkage, like genetic correlation, genetic 606 00:47:31,000 --> 00:47:38,000 nearness, like genetic mapping that would relate eye color to sex. 607 00:47:38,000 --> 00:47:42,000 What's the model? Well, of course the model here is 608 00:47:42,000 --> 00:47:47,000 that this fly, we know the answer, 609 00:47:47,000 --> 00:47:52,000 is X over Y, it's a male. And the X chromosome here has a 610 00:47:52,000 --> 00:47:57,000 mutation that makes it white-eyed. What's this normal fly over here? 611 00:47:57,000 --> 00:48:02,000 X over X. And its X chromosomes are normal. 612 00:48:02,000 --> 00:48:07,000 When we go to the next generation, what kind of offspring are there? 613 00:48:07,000 --> 00:48:13,000 The daughters of this cross, what's their genotype? What did 614 00:48:13,000 --> 00:48:18,000 they get from dad? They always get a normal X 615 00:48:18,000 --> 00:48:23,000 chromosome from dad. I'm sorry, from mom I mean. 616 00:48:23,000 --> 00:48:29,000 What did they get from dad, these daughters? They always got the X 617 00:48:29,000 --> 00:48:34,000 with the white eye. Why didn't they get the Y? 618 00:48:34,000 --> 00:48:40,000 Because they're daughters, right? If they got the Y they'd be 619 00:48:40,000 --> 00:48:45,000 sons. But they're daughters. So the daughters always are getting 620 00:48:45,000 --> 00:48:50,000 this chromosome. Now, when you mate these back to a 621 00:48:50,000 --> 00:48:56,000 normal male, X over Y, the daughters are of what type? 622 00:48:56,000 --> 00:49:01,000 What did they get from their dad? Always an X plus. 623 00:49:01,000 --> 00:49:06,000 And what did they get from their mom? Either an X with a mutation or 624 00:49:06,000 --> 00:49:11,000 an X plus. Either way they're normal, because we're assuming that 625 00:49:11,000 --> 00:49:16,000 this white-eyed mutation is recessive. What did the sons get? 626 00:49:16,000 --> 00:49:21,000 What did they get from their dad? Y. Why don't they get the X? 627 00:49:21,000 --> 00:49:27,000 Because they're sons. What did they get from their mom? 628 00:49:27,000 --> 00:49:31,000 Half of them get the X plus, half of them get the X mutant, 629 00:49:31,000 --> 00:49:35,000 and that explains cleanly what's going on. Now, 630 00:49:35,000 --> 00:49:39,000 the Y chromosome, being a short stubby little 631 00:49:39,000 --> 00:49:43,000 chromosome, doesn't have a copy of this gene for eye color at all. 632 00:49:43,000 --> 00:49:47,000 So you might as well regard it as being, you know, 633 00:49:47,000 --> 00:49:51,000 recessive, as carrying the allele for the recessive trait. 634 00:49:51,000 --> 00:49:55,000 It doesn't have any functional copy. So for a male he only 635 00:49:55,000 --> 00:50:00,000 gets a copy from mom. And what he got from mom completely 636 00:50:00,000 --> 00:50:05,000 determines his phenotype. Thus, the transmission of eye color, 637 00:50:05,000 --> 00:50:09,000 a trait controlled by a gene on the X chromosome correlated so 638 00:50:09,000 --> 00:50:14,000 beautifully with the transmission of the trait sex. 639 00:50:14,000 --> 00:50:19,000 That provided a convincing argument that it was the chromosomes 640 00:50:19,000 --> 00:50:24,000 controlling sex rather than the sex controlling chromosomes. 641 00:50:24,000 --> 00:50:29,000 All right. So you know all this stuff. You've all heard of Mendel. 642 00:50:29,000 --> 00:50:32,000 You've all heard of recombination. You've heard of, I suppose, genetic 643 00:50:32,000 --> 00:50:36,000 maps. You know about X and Y chromosomes and things like that. 644 00:50:36,000 --> 00:50:40,000 What I want you to take away from all of this is that in order to 645 00:50:40,000 --> 00:50:44,000 really know things you have to struggle against models. 646 00:50:44,000 --> 00:50:48,000 You have to understand whether the model is just being made up to 647 00:50:48,000 --> 00:50:52,000 explain the data or whether the model has been proved by testing it 648 00:50:52,000 --> 00:50:56,000 in any serious kinds of ways. All this stuff took 30 or 40 years 649 00:50:56,000 --> 00:51:00,000 of serious battle before the last people caved in and said this is all 650 00:51:00,000 --> 00:51:05,000 proven. Of course, going forward we'll assume it's all 651 00:51:05,000 --> 00:51:10,000 proven and you know what to do with it. And onward to next time.