1 00:00:15,000 --> 00:00:18,000 So we're going to continue our discussion about genetics and 2 00:00:18,000 --> 00:00:22,000 patterns of inheritance. We're going go relatively quickly 3 00:00:22,000 --> 00:00:26,000 compared to last time. We've got a lot to get through 4 00:00:26,000 --> 00:00:30,000 today so I'm going to go relatively quickly. 5 00:00:30,000 --> 00:00:34,000 And I printed a handout for you because I'm going to rely on the 6 00:00:34,000 --> 00:00:38,000 PowerPoint to a greater degree than I have before. 7 00:00:38,000 --> 00:00:42,000 So I want you to have them in case you want to take notes on them. 8 00:00:42,000 --> 00:00:46,000 OK? And we will do that occasionally for particular lectures. 9 00:00:46,000 --> 00:00:50,000 Now, importantly, we teach you about inheritance, 10 00:00:50,000 --> 00:00:54,000 not so much because we think you need to know about peas but rather 11 00:00:54,000 --> 00:00:58,000 the rules of inheritance which were derived from such studies but 12 00:00:58,000 --> 00:01:02,000 applied to many other studies. Including in agricultural settings, 13 00:01:02,000 --> 00:01:07,000 in research settings in the laboratory involving fruit flies and 14 00:01:07,000 --> 00:01:12,000 mice, but more relevant to you to humans. The rules that Mendel laid 15 00:01:12,000 --> 00:01:17,000 down apply to you and allow us to predict inheritance patterns based 16 00:01:17,000 --> 00:01:22,000 on visible traits but also disease traits. And you'll see in next 17 00:01:22,000 --> 00:01:27,000 lecture that the information that we've given you helps us understand 18 00:01:27,000 --> 00:01:32,000 inheritance of various forms of genetic disease and predict, 19 00:01:32,000 --> 00:01:37,000 for example, frequencies within such pedigrees. 20 00:01:37,000 --> 00:01:42,000 OK. So, firstly, 21 00:01:42,000 --> 00:01:46,000 I wanted to review some terms which you need to know. 22 00:01:46,000 --> 00:01:50,000 And I'll use a lot today. The genotype which is the alleles 23 00:01:50,000 --> 00:01:54,000 present for a given gene in an individual. OK? 24 00:01:54,000 --> 00:01:58,000 The genes. The alleles. The term homozygous which means 25 00:01:58,000 --> 00:02:02,000 having two of the same alleles. Heterozygous, having two different 26 00:02:02,000 --> 00:02:06,000 alleles for a given gene. The phenotype which refers to the 27 00:02:06,000 --> 00:02:10,000 trait. That's what the researcher or the individual observes. 28 00:02:10,000 --> 00:02:14,000 The manifestation of the activity of those genes, 29 00:02:14,000 --> 00:02:18,000 of those alleles, the observed trait. 30 00:02:18,000 --> 00:02:22,000 The first filial, or F1, generation which is the product of a 31 00:02:22,000 --> 00:02:26,000 cross of individuals who are homozygous for different alleles of 32 00:02:26,000 --> 00:02:31,000 a given trait. I think this should say gene, 33 00:02:31,000 --> 00:02:36,000 not given, given. Such that the F1 individual is heterozygous for that 34 00:02:36,000 --> 00:02:41,000 gene. That is, has two different alleles. 35 00:02:41,000 --> 00:02:46,000 If you cross two F1s together you generate the F2 generation. 36 00:02:46,000 --> 00:02:51,000 The products of an F1 intercross. And based on Mendel's First Laws, 37 00:02:51,000 --> 00:02:56,000 which I told you about last time and I'll reiterate in a second, 38 00:02:56,000 --> 00:03:01,000 the ratio of the genotypes that you see in the F2 generation is 1:2:1. 39 00:03:01,000 --> 00:03:05,000 Homozygous for one allele, heterozygous and homozygous for the 40 00:03:05,000 --> 00:03:09,000 other allele; 1:2:1. And the ratio of phenotypes is 3:1. 41 00:03:09,000 --> 00:03:14,000 That assumes that there is a simple dominant recessive relationship 42 00:03:14,000 --> 00:03:18,000 between the two alleles. We closed with that last time. 43 00:03:18,000 --> 00:03:23,000 The dominant is the allele that determines the phenotype in a 44 00:03:23,000 --> 00:03:27,000 heterozygous individual. Big S, little S you're smooth. 45 00:03:27,000 --> 00:03:31,000 Big S is dominant over little S. Recessive allele is the opposite. 46 00:03:31,000 --> 00:03:35,000 In a heterozygote it's not seen. And, in fact, the only time you see 47 00:03:35,000 --> 00:03:38,000 the phenotype associated with the recessive allele is when the 48 00:03:38,000 --> 00:03:42,000 organism is homozygous for that recessive allele. 49 00:03:42,000 --> 00:03:45,000 And finally there's a term codominance, which I'm going to 50 00:03:45,000 --> 00:03:49,000 mention now. They don't really need to know, Claudette? 51 00:03:49,000 --> 00:03:53,000 We bring it up in Section, so I'm going to mention it here. 52 00:03:53,000 --> 00:03:56,000 And I refer you to the relevant parts of the book, 53 00:03:56,000 --> 00:04:00,000 but I'm not going to cover it in lecture but I'll show you where to 54 00:04:00,000 --> 00:04:03,000 go in the book to review that. And that's relevant because Mendel's 55 00:04:03,000 --> 00:04:07,000 Rules apply as simple dominant recessive relationships, 56 00:04:07,000 --> 00:04:11,000 but they actually don't apply in terms of scoring them when you have 57 00:04:11,000 --> 00:04:15,000 a codominant situation. So this is Mendel's First Law laid 58 00:04:15,000 --> 00:04:19,000 out for you. When any individual produces gametes, 59 00:04:19,000 --> 00:04:23,000 germ cells, sperm, egg, the alleles, for a particular 60 00:04:23,000 --> 00:04:27,000 gene which control particular traits separates, so that each gamete 61 00:04:27,000 --> 00:04:31,000 receives only one of a pair of alleles present in the 62 00:04:31,000 --> 00:04:35,000 original individual. And, as I said just a second ago, 63 00:04:35,000 --> 00:04:39,000 these experimental tests work well when there's a simple dominant 64 00:04:39,000 --> 00:04:43,000 recessive relationship between those two alleles. There are exceptions 65 00:04:43,000 --> 00:04:47,000 to this in terms of codominance and incomplete dominance. 66 00:04:47,000 --> 00:04:51,000 And I refer you to Figures 10. 3 and 10.14 in your book which show 67 00:04:51,000 --> 00:04:55,000 you examples from fruit flies as well as, sorry, 68 00:04:55,000 --> 00:04:59,000 from humans as well as from pea plants that illustrate both 69 00:04:59,000 --> 00:05:04,000 codominance and incomplete dominance. 70 00:05:04,000 --> 00:05:08,000 Now, to emphasize the simplicity, really, of Mendel's First Law, I 71 00:05:08,000 --> 00:05:12,000 want to show you an example which also derives from your book using 72 00:05:12,000 --> 00:05:16,000 coins. OK? And it's just to emphasize the point about 73 00:05:16,000 --> 00:05:20,000 probability. So what this says is that you have two, 74 00:05:20,000 --> 00:05:24,000 if you have two alleles of a given gene, big A, little A, 75 00:05:24,000 --> 00:05:28,000 big S, little S, you're going to hand off to your germ cells one or 76 00:05:28,000 --> 00:05:32,000 the other with equal probability. And your mate will do the same such 77 00:05:32,000 --> 00:05:37,000 that the genotype of the offspring is the product of the probabilities 78 00:05:37,000 --> 00:05:43,000 of the genotype of the germ cells. OK? So I have two coins here, two 79 00:05:43,000 --> 00:05:48,000 pennies which have a head and a tail. All right? Head. 80 00:05:48,000 --> 00:05:53,000 Tail. So if I flipped this coin, what's the likelihood that this is a 81 00:05:53,000 --> 00:05:59,000 head? 1:2. If I flip this coin, what's the likelihood that it's a 82 00:05:59,000 --> 00:06:04,000 head? 1:2. If I put these together, 83 00:06:04,000 --> 00:06:08,000 like in fertilization, what's the likelihood that it's both heads? 84 00:06:08,000 --> 00:06:13,000 1:4. Very good. One in two times one in two is one in four. 85 00:06:13,000 --> 00:06:18,000 That's really the essence of Mendel's First Law that the alleles 86 00:06:18,000 --> 00:06:22,000 segregate randomly into the germ cells, and you can then figure out 87 00:06:22,000 --> 00:06:27,000 Punnett Squares and the phenotype based on the probabilities of the 88 00:06:27,000 --> 00:06:32,000 different genotypes that derive from that simple calculation. 89 00:06:32,000 --> 00:06:39,000 OK. We'll come back to a slightly more complicated version momentarily. 90 00:06:39,000 --> 00:06:47,000 OK. Now, last time we talked about smooth and wrinkled peas. 91 00:06:47,000 --> 00:06:55,000 I don't like this yellow chalk. Is there white chalk here? 92 00:06:55,000 --> 00:07:05,000 We talked about smooth and yellow 93 00:07:05,000 --> 00:07:12,000 peas, smooth and wrinkled peas. We talked about genotypes, big S, 94 00:07:12,000 --> 00:07:20,000 big S, big S, little S, little S, little S. Remember that? 95 00:07:20,000 --> 00:07:27,000 We talked about phenotypes. What's the phenotype of this pea? 96 00:07:27,000 --> 00:07:35,000 Smooth. What's the phenotype of this pea? 97 00:07:35,000 --> 00:07:44,000 Smooth, because you know that big S is dominant over little S. 98 00:07:44,000 --> 00:07:52,000 And what's the phenotype of this pea? Wrinkled. 99 00:07:52,000 --> 00:08:01,000 Good. What if I gave you, I handed to you on your dinner plate 100 00:08:01,000 --> 00:08:08,000 a smooth pea? What's its genotype? 101 00:08:08,000 --> 00:08:14,000 What's its genotype? Who wants to venture out into the 102 00:08:14,000 --> 00:08:20,000 unknown here? What's its genotype? Come on. Yes? Thank you. You 103 00:08:20,000 --> 00:08:26,000 don't know what its genotype is because it could either be big S, 104 00:08:26,000 --> 00:08:33,000 big S or big S, little S. It could either be big S, 105 00:08:33,000 --> 00:08:43,000 big S or big S, little S. How are you going to tell? 106 00:08:43,000 --> 00:08:53,000 How can you tell? You can test it. You could do what we call a Test 107 00:08:53,000 --> 00:09:03,000 Cross with a tester strain. And a tester strain is homozygous 108 00:09:03,000 --> 00:09:11,000 for the recessive allele. OK? And based on this test we can 109 00:09:11,000 --> 00:09:17,000 figure out whether we're dealing with a big S, big S or big S, 110 00:09:17,000 --> 00:09:23,000 little S pea. So we're going to do this using Punnett Squares to 111 00:09:23,000 --> 00:09:30,000 emphasize the use of Punnett Squares. We have two possibilities. 112 00:09:30,000 --> 00:09:35,000 Either our pea is big S, big S or our pea is big S, 113 00:09:35,000 --> 00:09:41,000 little S. Either way we're going to cross it to a pea, 114 00:09:41,000 --> 00:09:47,000 really a pea plant, but a pea that's little S, 115 00:09:47,000 --> 00:09:53,000 little S. OK? Now, when I generate a Punnett Square what gametes do I 116 00:09:53,000 --> 00:09:59,000 put over here? What alleles do I put over here? 117 00:09:59,000 --> 00:10:04,000 Little S, little S. This plant only gives the little S 118 00:10:04,000 --> 00:10:10,000 allele to its gametes because that's all it has. What alleles do I put 119 00:10:10,000 --> 00:10:15,000 over here? Big S on both because this plant only gives big S to its 120 00:10:15,000 --> 00:10:21,000 gametes. And so therefore all of the offspring will be heterozygous, 121 00:10:21,000 --> 00:10:27,000 big S, little S, big S, little S. And what will the phenotype be of 122 00:10:27,000 --> 00:10:32,000 all of the offspring? Smooth. 100% smooth. 123 00:10:32,000 --> 00:10:38,000 OK. And how about over here? Well, this side of the Punnett 124 00:10:38,000 --> 00:10:44,000 Square is the same. This individual only gives little S 125 00:10:44,000 --> 00:10:50,000 to its gametes. And how about over here? 126 00:10:50,000 --> 00:10:56,000 Flip a coin, half of the time it's big S, half of the time 127 00:10:56,000 --> 00:11:01,000 it's little S. If this gamete meets up with this 128 00:11:01,000 --> 00:11:06,000 one then that individual is going to be big S, little S. 129 00:11:06,000 --> 00:11:12,000 The same thing over here. With this gives little S, little S, 130 00:11:12,000 --> 00:11:17,000 this is the same thing. What are the phenotypes here? 131 00:11:17,000 --> 00:11:23,000 Half and half. 50% smooth, 50% wrinkled. 132 00:11:23,000 --> 00:11:37,000 OK. That's great. Now -- 133 00:11:37,000 --> 00:11:48,000 What I want to now consider is a 134 00:11:48,000 --> 00:11:53,000 second trait. And after we do this we're going to consider the 135 00:11:53,000 --> 00:11:59,000 inheritance of the two traits together, but let's just introduce 136 00:11:59,000 --> 00:12:06,000 the second trait now. The gene is the Y gene. 137 00:12:06,000 --> 00:12:15,000 There are, again, two alleles, big Y and little Y. And the 138 00:12:15,000 --> 00:12:24,000 phenotypes associated with these genotypes are yellow 139 00:12:24,000 --> 00:12:31,000 and green. OK? Mendel does a lot of crossing, 140 00:12:31,000 --> 00:12:37,000 etc., creates pure breading strains, the parental strains. And I'm going 141 00:12:37,000 --> 00:12:43,000 to tell you that their genotypes are homozygous big Y, 142 00:12:43,000 --> 00:12:49,000 and these produce yellow peas. He also produces pure breeding 143 00:12:49,000 --> 00:12:55,000 strains that only ever produced green peas, and their genotype is 144 00:12:55,000 --> 00:13:00,000 little Y, little Y. You cross these together to generate 145 00:13:00,000 --> 00:13:05,000 the F1. What's the genotype with respect to Y in the F1? 146 00:13:05,000 --> 00:13:11,000 Big Y, little Y. They're all big Y, little Y. And what's the phenotype 147 00:13:11,000 --> 00:13:16,000 of the F1? You don't know. That's very good, because I haven't 148 00:13:16,000 --> 00:13:21,000 told you which is dominant over which. By convention, 149 00:13:21,000 --> 00:13:26,000 you might have guessed that big Y was dominant over little Y. 150 00:13:26,000 --> 00:13:32,000 And if that were true, and it is, then what would be the phenotype? 151 00:13:32,000 --> 00:13:39,000 Yellow. And from that you can conclude that Y is dominant over 152 00:13:39,000 --> 00:13:47,000 little Y. OK? I always run out of space. 153 00:13:47,000 --> 00:13:55,000 Do these boards get smaller every year? I mean it's unbelievable 154 00:13:55,000 --> 00:14:02,000 to me. Now, if we take these F1s and do an 155 00:14:02,000 --> 00:14:08,000 intercross to generate F2s, we're just reinforcing things we 156 00:14:08,000 --> 00:14:14,000 just learned here, in the F2 generation we're going to 157 00:14:14,000 --> 00:14:20,000 generate individuals who are Y, Y, big Y, big Y, big Y, little Y and 158 00:14:20,000 --> 00:14:26,000 little Y, little Y. What will be the frequency of 159 00:14:26,000 --> 00:14:32,000 generating such individuals in this cross? 160 00:14:32,000 --> 00:14:40,000 One quarter will be like this, a half will be like this, a quarter 161 00:14:40,000 --> 00:14:48,000 will be like this, and that would give a ration of 162 00:14:48,000 --> 00:14:56,000 1:2:1. The phenotypes associated with that will be yellow, 163 00:14:56,000 --> 00:15:02,000 yellow and green. So the ratio of the phenotypes will 164 00:15:02,000 --> 00:15:08,000 be 3:1. OK? We just redid Mendel's First Law for you. 165 00:15:08,000 --> 00:15:13,000 Now, what happens when we consider the two of these traits together, 166 00:15:13,000 --> 00:15:19,000 smoothness and color in the same cross? Well, this led Mendel to 167 00:15:19,000 --> 00:15:24,000 propose his Second Law which is illustrated here, 168 00:15:24,000 --> 00:15:30,000 which is that alleles of different genes, the S gene and the Y gene, 169 00:15:30,000 --> 00:15:36,000 assort independently of one another in producing gametes. 170 00:15:36,000 --> 00:15:39,000 What happens for one does not effect what happens to the other. 171 00:15:39,000 --> 00:15:42,000 And this is true for genes that lie on separate chromosomes. 172 00:15:42,000 --> 00:15:46,000 Although it's not necessarily true for genes that lie on the same 173 00:15:46,000 --> 00:15:49,000 chromosome. I make that point here, and I'll make it again later because 174 00:15:49,000 --> 00:15:52,000 I don't want you to come to the conclusion that two genes always 175 00:15:52,000 --> 00:15:56,000 assort from one another independently. 176 00:15:56,000 --> 00:15:59,000 They do, and Mendel's Second Law is based on that, 177 00:15:59,000 --> 00:16:03,000 in some instances, but they don't always. 178 00:16:03,000 --> 00:16:08,000 So to illustrate that point we turn to the coins again. 179 00:16:08,000 --> 00:16:13,000 I always also lose the coins. OK. So now we have our pennies 180 00:16:13,000 --> 00:16:18,000 once again, heads and tails. And dimes, heads and tails, yeah? 181 00:16:18,000 --> 00:16:23,000 OK. So I'm going to put a penny and a dime in each pocket. 182 00:16:23,000 --> 00:16:28,000 What's the frequency of generating a penny in the head configuration 183 00:16:28,000 --> 00:16:33,000 and a dime in the head configuration together? 184 00:16:33,000 --> 00:16:37,000 Well, let's do it differently. What's the frequency of generating 185 00:16:37,000 --> 00:16:42,000 a head, a penny in the head configuration here? 186 00:16:42,000 --> 00:16:47,000 1:2. What's the frequency of getting a penny in the head and dime 187 00:16:47,000 --> 00:16:52,000 in the head? One over four. It's one in two times one in two. 188 00:16:52,000 --> 00:16:57,000 And what's the frequency of getting penny head, dime head in this hand? 189 00:16:57,000 --> 00:17:02,000 One over four. So what's the frequency of getting 190 00:17:02,000 --> 00:17:06,000 penny head, penny head, dime head, dime head in the zygote? 191 00:17:06,000 --> 00:17:11,000 1:16. Again, simple probabilities. OK? And for Mendel's Second Law in 192 00:17:11,000 --> 00:17:15,000 its simplest form, it determines what you would expect 193 00:17:15,000 --> 00:17:19,000 to see in such crosses. And, again, we'll come back to a 194 00:17:19,000 --> 00:17:24,000 twist on that in a moment. Now, in biological terms it looks 195 00:17:24,000 --> 00:17:28,000 like this. And this derives from your book, so you can 196 00:17:28,000 --> 00:17:32,000 go and look at it. It's adapted from Purves 10. 197 00:17:32,000 --> 00:17:36,000 . And there's a nice little animation that goes along with that. 198 00:17:36,000 --> 00:17:40,000 But we're going to go through this because there's some subtly here 199 00:17:40,000 --> 00:17:44,000 that I want you to understand. So here is the parent. It's a 200 00:17:44,000 --> 00:17:48,000 diploid. It has the two chromosomes that are relevant that carry the S 201 00:17:48,000 --> 00:17:52,000 gene and the Y gene. And the parent is heterozygous for 202 00:17:52,000 --> 00:17:56,000 both. It's a double heterozygote. Big S, little S, big Y, little Y. 203 00:17:56,000 --> 00:18:00,000 OK? Now, when this individual undergoes 204 00:18:00,000 --> 00:18:05,000 meiosis, it can generate four possible haploid gametes. 205 00:18:05,000 --> 00:18:10,000 And those have the genotypes of all four combinations. 206 00:18:10,000 --> 00:18:15,000 It can be big S, little Y, big S, big Y, little S, little Y, 207 00:18:15,000 --> 00:18:20,000 little S, big Y. All four possibilities. 208 00:18:20,000 --> 00:18:25,000 And based on the simple laws of probability that we just went 209 00:18:25,000 --> 00:18:30,000 through with the coins, those are generated in equal amounts 210 00:18:30,000 --> 00:18:35,000 amongst the gametes. OK? They're generated in equal 211 00:18:35,000 --> 00:18:40,000 amounts amongst the gametes. Why are they? Well, let me just 212 00:18:40,000 --> 00:18:46,000 show you another slide that illustrates it in slightly more 213 00:18:46,000 --> 00:18:51,000 detail. When these guys undergo the first, undergo duplication to 214 00:18:51,000 --> 00:18:56,000 generate the two chromatids for each chromosomes, enter prophase of 215 00:18:56,000 --> 00:19:02,000 meiosis one, the homologs pair, as you recall. 216 00:19:02,000 --> 00:19:06,000 The two chromosomes don't have anything to do with one another. 217 00:19:06,000 --> 00:19:10,000 The homologs pair but the two chromosomes don't have anything to 218 00:19:10,000 --> 00:19:14,000 do with one another. They're independent of each other. 219 00:19:14,000 --> 00:19:18,000 Now, if we consider this chromosome, the one that carries the S gene, 220 00:19:18,000 --> 00:19:22,000 it will line up on the metaphase plate in an orientation which is 221 00:19:22,000 --> 00:19:26,000 random. In this particular example, the big S allele is pointing down 222 00:19:26,000 --> 00:19:30,000 and the little S allele is pointing up. OK? 223 00:19:30,000 --> 00:19:34,000 Based on that, let's fix that. 224 00:19:34,000 --> 00:19:38,000 Based on that there is one of two possible alignments for the 225 00:19:38,000 --> 00:19:42,000 chromosome that carries the other gene. In our example it's the Y 226 00:19:42,000 --> 00:19:46,000 gene. One orientation would have the big Y carrying chromosome 227 00:19:46,000 --> 00:19:50,000 pointing up, but it's just as likely that that chromosome could end up 228 00:19:50,000 --> 00:19:54,000 the other way around such that the big Y carrying chromosome 229 00:19:54,000 --> 00:19:58,000 is pointing down. And it's based on the fact that the 230 00:19:58,000 --> 00:20:02,000 two chromosomes are independent of one another when they choose which 231 00:20:02,000 --> 00:20:06,000 side of the metaphase plate to go to that gives us this random assortment 232 00:20:06,000 --> 00:20:10,000 in meiosis and the development of Mendel's Second Law. 233 00:20:10,000 --> 00:20:15,000 So if you carry this through then you generate these gametes in a 234 00:20:15,000 --> 00:20:19,000 2:2:2:2 or 1:1:1:1 ratio. OK? That's the most important 235 00:20:19,000 --> 00:20:23,000 thing. If you understand that then you can work it out as to which 236 00:20:23,000 --> 00:20:27,000 genotypes you get and which phenotypes you get using 237 00:20:27,000 --> 00:20:32,000 Punnett Squares. OK? But it's important that you 238 00:20:32,000 --> 00:20:37,000 understand why it is that you get random assortment of the alleles in 239 00:20:37,000 --> 00:20:42,000 such a cross. Is that clear to everybody? It's probably not clear 240 00:20:42,000 --> 00:20:47,000 to the guy reading the newspaper. Oh, the woman reading the newspaper. 241 00:20:47,000 --> 00:20:52,000 Usually it's a guy reading the newspaper but not today. 242 00:20:52,000 --> 00:20:58,000 Is this clear? Are there any questions? OK. 243 00:20:58,000 --> 00:21:01,000 As I said, you can work through this with Punnett Squares. 244 00:21:01,000 --> 00:21:05,000 I decided not to do it on the board because it takes a lot of time, 245 00:21:05,000 --> 00:21:08,000 but the book shows you, in this specific example, 246 00:21:08,000 --> 00:21:12,000 what you should expect. Here are the two parentals. 247 00:21:12,000 --> 00:21:15,000 They're homozygous for each of the alleles, big S, 248 00:21:15,000 --> 00:21:19,000 big S, big Y, big Y, little S, little S, little Y, 249 00:21:19,000 --> 00:21:22,000 little Y. In the F1 generation you create the double heterozygote, 250 00:21:22,000 --> 00:21:26,000 big S, little S, big Y, little Y, and then that generates the four 251 00:21:26,000 --> 00:21:30,000 gametes in equal proportion, as we just discussed. 252 00:21:30,000 --> 00:21:34,000 If you cross two of these F1s together then you can create a 253 00:21:34,000 --> 00:21:38,000 Punnett Square which now has 16 squares instead of just four which 254 00:21:38,000 --> 00:21:42,000 allows us to consider the products of all four of these gametes crossed 255 00:21:42,000 --> 00:21:46,000 to all four of these gametes. So we get various combinations of 256 00:21:46,000 --> 00:21:50,000 genotypes and we get various combinations of phenotypes. 257 00:21:50,000 --> 00:21:54,000 And you can calculate what those are based on looking at this. 258 00:21:54,000 --> 00:21:58,000 There's actually another way of doing it, which I find to be simpler, 259 00:21:58,000 --> 00:22:02,000 which is illustrated here. Again, because the traits and the 260 00:22:02,000 --> 00:22:07,000 alleles are segregating from one another independently you can think 261 00:22:07,000 --> 00:22:12,000 about this as two Punnett Squares separately and figure out the 262 00:22:12,000 --> 00:22:17,000 consequences of those two traits by simply multiplying between then. 263 00:22:17,000 --> 00:22:22,000 So what I mean by that is if you consider the S allele in isolation 264 00:22:22,000 --> 00:22:27,000 then there are the familiar 1:2:1 ratio of the three different 265 00:22:27,000 --> 00:22:32,000 genotypes. And that's true also of the Y 266 00:22:32,000 --> 00:22:36,000 genotypes, 1:2:1 of the three possible genotypes. 267 00:22:36,000 --> 00:22:40,000 In total there are nine possible genotypes, but when you separate it 268 00:22:40,000 --> 00:22:44,000 from S and Y it's 3:3. Likewise with respect to the 269 00:22:44,000 --> 00:22:48,000 phenotypes, three-quarters of these guys will be smooth, 270 00:22:48,000 --> 00:22:52,000 one-quarter will be wrinkled. And over here three-quarters will 271 00:22:52,000 --> 00:22:56,000 be yellow, one-quarter will be green. If I want to figure out what the 272 00:22:56,000 --> 00:23:00,000 frequency is of any compound genotype, I just have 273 00:23:00,000 --> 00:23:03,000 to multiply across. So if I want to know the frequency 274 00:23:03,000 --> 00:23:07,000 of big S, big S, big Y, big Y, and it's just the 275 00:23:07,000 --> 00:23:11,000 product of a quarter times a quarter or a sixteenth, 276 00:23:11,000 --> 00:23:14,000 just like the coins example by the way. If I want to know the 277 00:23:14,000 --> 00:23:18,000 frequency of being big S, little S, big Y, little Y, 278 00:23:18,000 --> 00:23:22,000 then it's a half times a half or four-sixteenths, 279 00:23:22,000 --> 00:23:26,000 sorry. A half times a half or a quarter which equals 280 00:23:26,000 --> 00:23:30,000 four sixteenths. And the other genotypes comprise the 281 00:23:30,000 --> 00:23:34,000 remaining sixteenths that we see, another 11. And likewise with 282 00:23:34,000 --> 00:23:38,000 respect to phenotypes. If you want to know the frequency 283 00:23:38,000 --> 00:23:42,000 of smooth yellow offspring you just multiple across, 284 00:23:42,000 --> 00:23:47,000 three-quarters times three-quarters gives you nine-sixteenth. 285 00:23:47,000 --> 00:23:51,000 Of wrinkled green ones it's a quarter times a quarter or 286 00:23:51,000 --> 00:23:55,000 one-sixteenth. So, again, when you're asked to do 287 00:23:55,000 --> 00:23:59,000 Punnett Squares for two traits that segregate independently, 288 00:23:59,000 --> 00:24:04,000 you might think about doing it using separate Punnett Squares. 289 00:24:04,000 --> 00:24:10,000 OK. So we've talked about Mendel's Laws. We're wrapping up Mendel's 290 00:24:10,000 --> 00:24:16,000 Laws here. The first law is independent segregation of the two 291 00:24:16,000 --> 00:24:22,000 alleles. The second law with respect to different genes, 292 00:24:22,000 --> 00:24:29,000 they segregate independently from each other. OK? 293 00:24:29,000 --> 00:24:32,000 Now, as I said, this is true for genes that are on 294 00:24:32,000 --> 00:24:36,000 different chromosomes or actually genes that are far away on the same 295 00:24:36,000 --> 00:24:39,000 chromosome, but it's not always true. And to emphasize that point we're 296 00:24:39,000 --> 00:24:43,000 going to return to our coin friends. 297 00:24:43,000 --> 00:24:52,000 So let me just remind you, 298 00:24:52,000 --> 00:24:56,000 let me just remind you what we saw. So this doesn't apply to genes that 299 00:24:56,000 --> 00:25:00,000 are linked together on the same chromosome. 300 00:25:00,000 --> 00:25:04,000 Let's remind you what we determined for genes that are unlinked, 301 00:25:04,000 --> 00:25:08,000 the dime and the penny. We said that the frequency of getting in my 302 00:25:08,000 --> 00:25:12,000 left hand head, head and in my right hand head, 303 00:25:12,000 --> 00:25:17,000 head, and together was 1:4 and 1:4 and together was 1:16. 304 00:25:17,000 --> 00:25:21,000 That was the situation when they were independent of one another. 305 00:25:21,000 --> 00:25:25,000 But let's consider the situation when I've taped them together. 306 00:25:25,000 --> 00:25:30,000 Now I have a penny and a quarter which are taped together. 307 00:25:30,000 --> 00:25:35,000 I have fixed the orientation of these two coins with respect to one 308 00:25:35,000 --> 00:25:40,000 another. So you can see the heads are on the same side, 309 00:25:40,000 --> 00:25:46,000 the heads are on the same side, yeah? OK. What's the likelihood 310 00:25:46,000 --> 00:25:51,000 that this is going to have the penny in the head configuration? 311 00:25:51,000 --> 00:25:57,000 1:2. And if it is what's the likelihood that the quarter is going 312 00:25:57,000 --> 00:26:02,000 to be in the head configuration? One. So what's the likelihood that 313 00:26:02,000 --> 00:26:06,000 the coin is going to have head, head when I turned it up? 1:2. Not 314 00:26:06,000 --> 00:26:10,000 like this example. 1:2. And so what's the likelihood 315 00:26:10,000 --> 00:26:14,000 that it's going to be head, head in this configuration, in this 316 00:26:14,000 --> 00:26:18,000 hand? 1:2. So what's the likelihood that it's going to be 317 00:26:18,000 --> 00:26:22,000 head, head, head, head? 1:4. So the frequencies 318 00:26:22,000 --> 00:26:26,000 don't work out, according to Mendel's Rules, 319 00:26:26,000 --> 00:26:31,000 if the two genes are linked, the two genes are linked together. 320 00:26:31,000 --> 00:26:35,000 So thank you for your help. It pays to sit in the front row 321 00:26:35,000 --> 00:26:40,000 every once in a while. So this is what we just talked 322 00:26:40,000 --> 00:26:45,000 about. In my left hand the frequency of head, 323 00:26:45,000 --> 00:26:50,000 head was one-half, in my right hand frequency of head, 324 00:26:50,000 --> 00:26:54,000 head was one-half, so the product was a half times a half or a quarter. 325 00:26:54,000 --> 00:26:59,000 OK? Now, if we want to think about that is sort of genetic terms, 326 00:26:59,000 --> 00:27:03,000 let's think about chromosomes. And genes can be linked on 327 00:27:03,000 --> 00:27:06,000 chromosomes like those two coins can be linked together by tape. 328 00:27:06,000 --> 00:27:10,000 So here are two genes, the penny gene and the quarter gene, 329 00:27:10,000 --> 00:27:13,000 two alleles, the head allele and the tail allele, and they're present on 330 00:27:13,000 --> 00:27:16,000 two chromosomes in a heterozygous individual. And they're in this 331 00:27:16,000 --> 00:27:20,000 configuration such that the head allele of the quarter is next to the 332 00:27:20,000 --> 00:27:23,000 head allele of the penny. The tail allele of the quarter is 333 00:27:23,000 --> 00:27:27,000 next to the tail allele of the penny. 334 00:27:27,000 --> 00:27:31,000 When this goes through meiosis the alleles stick together. 335 00:27:31,000 --> 00:27:36,000 The head alleles stick together in the gametes. The tail alleles stick 336 00:27:36,000 --> 00:27:40,000 together in the gametes. It's just like Mary Had a Little 337 00:27:40,000 --> 00:27:45,000 Lamb. Remember that one? I'm getting curious looks. 338 00:27:45,000 --> 00:27:49,000 Mary had a little lamb. Its fleece was white as snow. 339 00:27:49,000 --> 00:27:54,000 Everywhere that Mary went the lamb was sure to go. 340 00:27:54,000 --> 00:27:59,000 A long way to go for that one, but anyway. 341 00:27:59,000 --> 00:28:03,000 Everywhere that Mary went the lamb was sure to go. 342 00:28:03,000 --> 00:28:07,000 They stay linked. OK? And importantly you don't find, 343 00:28:07,000 --> 00:28:12,000 or you almost never find this situation where the quarter in the 344 00:28:12,000 --> 00:28:16,000 head, sorry, the penny in the head configuration went with the quarter 345 00:28:16,000 --> 00:28:21,000 in the tail configuration. You don't find those, or you almost 346 00:28:21,000 --> 00:28:25,000 never, and this is the point of the final phase of the lecture. 347 00:28:25,000 --> 00:28:43,000 OK. Very good. 348 00:28:43,000 --> 00:28:49,000 So let's look at this with respect to peas. Why not? 349 00:28:49,000 --> 00:28:56,000 We're going to talk about now linked genes in peas. 350 00:28:56,000 --> 00:29:03,000 We're going to talk about two genes. 351 00:29:03,000 --> 00:29:08,000 We're going to have our familiar Y gene which has its two alleles. 352 00:29:08,000 --> 00:29:13,000 And now we're going to talk about a new gene, the D gene, 353 00:29:13,000 --> 00:29:18,000 which likewise has two alleles and two phenotypes which are dense peas 354 00:29:18,000 --> 00:29:24,000 and light peas. OK? Dense peas and light peas. 355 00:29:24,000 --> 00:29:29,000 And it turns out that these two genes are on the same chromosome and 356 00:29:29,000 --> 00:29:35,000 very close to one another. So if you think about the 357 00:29:35,000 --> 00:29:43,000 chromosomes in a heterozygous individual, double heterozygous 358 00:29:43,000 --> 00:29:50,000 individual they would look like that. If we think about the chromosomes 359 00:29:50,000 --> 00:29:58,000 in a tester strain, which is homozygous for the 360 00:29:58,000 --> 00:30:08,000 recessive alleles for both. 361 00:30:08,000 --> 00:30:15,000 What's going to happen to the offspring? What? 362 00:30:15,000 --> 00:30:22,000 What? I'm sorry. First of all, this phenotype is 363 00:30:22,000 --> 00:30:29,000 yellow and dense. Big D is dominant over little D. 364 00:30:29,000 --> 00:30:35,000 This phenotype is green and light. OK? What do the gametes look like 365 00:30:35,000 --> 00:30:39,000 in this Punnett Square? And why am I drawing four boxes, 366 00:30:39,000 --> 00:30:43,000 only four boxes anyway? Didn't I tell you a little while ago that if 367 00:30:43,000 --> 00:30:47,000 you have two alleles, two genes you have to draw a Punnett 368 00:30:47,000 --> 00:30:51,000 Square with 16 boxes? Why am I drawing only four? 369 00:30:51,000 --> 00:30:55,000 Because they go together. They're linked. So what do the 370 00:30:55,000 --> 00:31:02,000 alleles look like? Well, this parent is going to give 371 00:31:02,000 --> 00:31:10,000 either big Y, big D or little Y, little D. And this parent is always 372 00:31:10,000 --> 00:31:18,000 only ever going to give little Y, little D. OK? So therefore the 373 00:31:18,000 --> 00:31:33,000 genotype follows, sorry. 374 00:31:33,000 --> 00:31:41,000 And the phenotype. What am I going to get when I 375 00:31:41,000 --> 00:31:49,000 deconvolute this? What am I going to get? 376 00:31:49,000 --> 00:31:57,000 The phenotype in that cross, 50% will be yellow dense. And 50% 377 00:31:57,000 --> 00:32:04,000 will be what? Green and light. The very same two phenotypes that I 378 00:32:04,000 --> 00:32:10,000 got in the parents. These are the parental phenotypes. 379 00:32:10,000 --> 00:32:23,000 And in a test cross like this, 380 00:32:23,000 --> 00:32:27,000 of two genes that are very tightly linked, you would always regenerate 381 00:32:27,000 --> 00:32:32,000 the parental phenotypes. They would never separate from one 382 00:32:32,000 --> 00:32:35,000 another. You'd always only ever generate the parental --