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LECTURE 8 Mendel’s Experiments (Chapter 2) 2.1 MENDEL’S EXPERIMENTS • Gregor Johann Mendel (1822-1884) is considered the father of genetics • His success can be attributed, in part, to – His boyhood experience in grafting trees • This taught him the importance of precision and attention to detail – His university experience in physics and natural history • This taught him to view the world as an orderly place governed by natural laws – These laws can be stated mathematically • Mendel was an Austrian monk • He conducted his landmark studies in a small 115- by 23-foot plot in the garden of his monastery • From 1856-1864, he performed thousands of crosses • He kept meticulously accurate records that included quantitative analysis • His work, entitled “Experiments on Plant Hybrids” was published in 1866 • It was ignored for 34 years • Probably because – The title did not capture the importance of the work – Chromosome behavior had not yet been observed by light microscopy • In 1900, Mendel’s work was rediscovered by three botanists working independently – Hugo de Vries of Holland – Carl Correns of Germany – Erich von Tschermak of Austria Mendel Chose Pea Plants as His Experimental Organism • Hybridization – The mating or crossing between two individuals that are pure-breeding for specific phenotypes • Purple-flowered plant X white-flowered plant • We now know that “pure-breeding” = homozygous, e.g. PP x pp • Hybrids – The offspring that result from such a mating • These are heterozygous – e.g. Pp Mendel Chose Pea Plants as His Experimental Organism • Mendel chose the garden pea (Pisum sativum) to study the natural laws governing plants hybrids • The garden pea was advantageous because – 1. It existed in several varieties with distinct characteristics – 2. Its structure allowed for easy crosses where the choice of parental plants could be controlled Figure 2.2 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Petals Keel Sepal Stigma Anther Ovule Style Ovary (a) Structure of a pea flower Contain the female gametes (eggs) Contain the pollen grains, where the male gametes (sperm) are produced Mendel Chose Pea Plants as His Experimental Organism • Mendel carried out two types of crosses – 1. Self-fertilization • Pollen and egg are derived from the same plant • Naturally occurs in peas because a modified petal isolates the reproductive structures – 2. Cross-fertilization • Pollen and egg are derived from different plants • Required removing and manipulating anthers • Refer to Figure 2.3 Figure 2.3 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. White Remove anthers from purple flower. Anthers Parental generation Purple Transfer pollen from anthers of white flower to the stigma of a purple flower. Cross-pollinated flower produces seeds. Plant the seeds. Firstgeneration offspring Mendel Studied Seven Characters That Bred True • The morphological characteristics of an organism are termed characters • The term trait describes the specific properties of a character – eye color is a character, blue eyes is a trait • A variety that produces the same trait over several generations is termed a true-breeder • The seven characters that Mendel studied are illustrated in Figure 2.4 Figure 2.4 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. CHARACTER VARIANTS CHARACTER VARIANTS Seed color Yellow Green Round Wrinkled Green Yellow Smooth Constricted Height Seed shape Tall Dwarf Pod color Flower color Purple White Pod shape Flower position Axial Terminal Mendel’s Experiments • Mendel did not have a hypothesis to explain the formation of hybrids – Rather, he believed that a quantitative analysis of crosses may provide mathematical relationships that govern hereditary traits • This is called an empirical approach – This approach is used to deduce empirical laws Mendel’s Experiments • Mendel studied seven characteristics • Each characteristic showed two variants found in the same species – plant height variants were tall and dwarf • His first experiments involved crossing two variants of the same characteristic – This is termed a monohybrid cross – A single characteristic is being observed • The experimental procedure is shown in Figure 2.5 Figure 2.5 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Experimental level P plants 1. For each of seven characters, Mendel cross-fertilized two different true-breeding lines. Keep in mind that each cross involved two plants that differed in regard to only one of the seven characters studied. The illustration at the right shows one cross between a tall and dwarf plant. This is called a P (parental) cross. 2. Collect many seeds. The following spring, plant the seeds and allow the plants to grow. These are the plants of the F1 generation. Conceptual level x Tall Dwarf Note: The P cross produces seeds that are part of the F1 generation. F1 seeds All Tt F1 plants Tt All tall Selffertilization 3. Allow the F1 generation plants to self-fertilize. This produces seeds that are part of the F2 generation. Selffertilization F2 seeds 4. Collect the seeds and plant them the following spring to obtain the F2 generation plants. 5. Analyze the characteristics found in each generation. TT x tt F2 plants Tall Tall Dwarf Tall TT + 2 Tt + tt DATA FROM MONOHYBRID CROSSES P Cross F1 generation F2 generation Ratio Tall X dwarf stem All tall 787 tall, 277 dwarf 2.84:1 Round X wrinkled seeds All round 5,474 round, 1,850 wrinkled 2.96:1 Yellow X Green seeds All yellow 6,022 yellow, 2,001 green 3.01:1 Purple X white flowers All purple 705 purple, 224 white 3.15:1 Axial X terminal flowers All axial 651 axial, 207 terminal 3.14:1 Smooth X constricted pods All smooth 882 smooth, 229 constricted 2.95:1 Green X yellow pods All green 428 green, 152 yellow 2.82:1 Interpreting the Data • For all seven characteristics studied – 1. The F1 generation showed only one of the two parental traits – 2. The F2 generation showed an ~ 3:1 ratio of the two parental traits • These results refuted a “blending mechanism” of heredity previously proposed Interpreting the Data • Indeed, the data suggested a particulate theory of inheritance • Mendel postulated the following: • 1. A pea plant contains two discrete hereditary factors for a given character, one from each parent • 2. The two factors may be identical or different • 3. When the two factors of a single character are different and present in the same plant – One variant is dominant and its effect can be seen – The other variant is recessive and is not seen • 4. During gamete formation, the paired factors for a given character segregate randomly so that half of the gametes receive one factor and half of the gametes receive the other – This is Mendel’s Law of Segregation – Refer to Figure 2.6 • But first, let’s introduce a few terms – Mendelian factors are now called genes – Alleles are different versions of the same gene – An individual with two identical alleles is termed homozygous – An individual with two different alleles, is termed heterozygous – Genotype refers to the specific allelic composition of an individual – Phenotype refers to the outward appearance of an individual Figure 2.6 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Tall Dwarf x P generation TT tt Segregation Gametes T t T t Cross-fertilization Tall F1 generation (all tall) Tt Segregation Gametes F2 generation Genotypes: (1 : 2 : 1) Phenotypes: (3 : 1) T t T t Selffertilization TT Tt Tt tt Tall Tall Tall Dwarf Punnett Squares • A Punnett square is a grid that enables one to predict the outcome of simple genetic crosses – It was proposed by the English geneticist, Reginald Punnett • We will illustrate the Punnett square approach using the cross of heterozygous tall plants as an example Punnett Squares • 1. Write down the genotypes of both parents – Male parent = Tt – Female parent = Tt • 2. Write down the possible gametes each parent can make. – Male gametes: T or t – Female gametes: T or t • 3. Create an empty Punnett square Female gametes Male gametes T t T t Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 4. Fill in the Punnett square with the possible genotypes of the offspring by combining the alleles of the gametes Male gametes T Female gametes T t TT Tt Tt tt t • 5. Determine the relative proportions of genotypes and phenotypes of the offspring – Genotypic ratio • TT : Tt : tt • 1 : 2 : 1 – Phenotypic ratio • Tall : dwarf • 3 : 1 Mendel’s Experiments • Mendel also performed dihybrid crosses – Crossing individual plants that differ in two characters • For example – Character 1 = Seed texture (round vs. wrinkled) – Character 2 = Seed color (yellow vs. green) • There are two possible patterns of inheritance for these characters – Refer to Figure 2.7 Figure 2.7 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. P generation RRYY Haploid gametes rryy RY ry x rryy RY ry x RrYy F1 generation Haploid gametes RRYY 1/ 2 RY (a) HYPOTHESIS: Linked assortment 1/ 2 ry RrYy Haploid gametes 1/ 4 RY 1/ 4 Ry 1/ 4 rY 1/ (b) HYPOTHESIS: Independent assortment 4 ry Mendel’s Experiments • The experimental procedure for the dihybrid cross is shown in Figure 2-8 Figure 2.8 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Experimental level Conceptual level True-breeding True-breeding round, yellow seed wrinkled, green seed 1. Cross the two true-breeding plants to each other. This produces F1 generation seeds. rryy RRYY Seeds are planted Gametes formed RY ry x Crosspollination 2. Collect many seeds and record their phenotype. F1 generation seeds All RrYy 3. F1 seeds are planted and grown, and the F1 plants are allowed to self-fertilize. This produces seeds that are part of the F2 generation. RrYy x RrYy RrYy rY ry RRYY RRYy RrYY RrYy RRYy RRyy RrYy Rryy RrYY RrYy rrYY rrYy RrYy Rryy rrYy rryy RY Ry RY F2 generation seeds RrYy 4. Analyze the characteristics found in the F2 generation seeds. Ry rY ry DATA FROM DIHYBRID CROSSES P Cross F1 generation F2 generation Round, Yellow seeds X wrinkled, green seeds All round, yellow 315 round, yellow seeds 101 wrinkled, yellow seeds 108 round, green seeds 32 green, wrinkled seeds Interpreting the Data • The F2 generation contains seeds with novel combinations (i.e.: not found in the parentals) – Round and Green – Wrinkled and Yellow • These are called nonparentals • Their occurrence contradicts the linkage model – Refer to Figure 2.7a • If the genes, on the other hand, assort independently – Then the predicted phenotypic ratio in the F2 generation would be 9:3:3:1 P Cross F1 generation F2 generation Round, Yellow seeds X wrinkled, green seeds All round, yellow 315 round, yellow seeds 101 wrinkled, yellow seeds 108 round, green seeds 32 green, wrinkled seeds Ratio 9.8 3.2 3.4 1.0 Mendel’s data was very close to segregation expectations Thus, he proposed the law of Independent assortment During gamete formation, the segregation of any pair of hereditary determinants is independent of the segregation of other pairs Figure 2.9 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. RY Ry rY ry Four possible female RY gametes: Ry rY ry Four possible male gametes: RRYY RRYy RrYY RrYy RRYy RRyy RrYy Rryy RrYY RrYy rrYY rrYy RrYy Rryy rrYy By randomly combining male and female gametes, 16 combinations are possible. Totals: 1 RRYY : 2 RRYy : 4 RrYy : 2 RrYY : 1 RRyy : 2 Rryy Phenotypes: 9 round, yellow seeds 3 round, green seeds : 1 rrYY : 2 rrYy : 1 rryy 3 wrinkled, yellow seeds 1 wrinkled, green seed rryy • Independent assortment is also revealed by a dihybrid testcross – TtYy X ttyy Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. TY Ty tY ty TtYy Ttyy ttYy ttyy ty Tall, yellow Tall, green Dwarf, yellow Dwarf, green Thus, if the genes assort independently, the expected phenotypic ratio among the offspring is 1:1:1:1 Figure 2.10 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Cross: TtYy x TtYy TY Ty tY ty TTYY TTYy TtYY TtYy Tall, yellow Tall, yellow Tall, yellow Tall, yellow TTYy TTyy TtYy Ttyy Tall, yellow Tall, green Tall, yellow Tall, green TtYY TtYy ttYY ttYy TY Ty tY Tall, yellow TtYy Tall, yellow Dwarf, yellow Dwarf, yellow Ttyy ttYy ttyy ty Tall, yellow Tall, green Dwarf, yellow Dwarf, green Genotypes: 1 TTYY : 2 TTYy : 4 TtYy : 2 TtYY : Phenotypes: 9 tall plants with yellow seeds 1 TTyy : 2 Ttyy 3 tall plants with green seeds 1 ttYY : 2 ttYy 1 ttyy 3 dwarf 1 dwarf plants with plant with yellow seeds green seeds Linkage Problem • In unicorns, horn length is under the control of a single gene where L =long, l = short; horn color is under the control of a second gene where G = gold, g = silver • LlGg is test-crossed to determine whether the genes assort independently or are linked • Data 1: 34 long silver horns (Lg) 31 short silver horns (lg) 33 short gold horns (lG 29 long gold horns (LG) • Data 2: 22 long silver horns (Lg) 62 short silver horns (lg) 18 short gold horns (lG) 58 long gold horns (LG) • Data 3: 45 long silver horns (Lg) 14 short silver horns (lg) 54 short gold horns (lG) 12 long gold horns (LG) • Data 4: 5 long silver horns (Lg) 92 short silver horns (lg) 89 short gold horns (lG) 9 long gold horns (LG)