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Mendelian Genetics Honors Biology Pre-Mendelian Theory of Heredity Blending Theory—hereditary material from each parent mixes in the offspring Individuals of a population should reach a uniform appearance after many generations Once traits are blended, they can no longer be separated out to appear in later generations Pre-Mendelian Theory of Heredity Problems—inconsistent with observations: Individuals of a population don’t reach uniform appearance Traits can skip generations Modern Theory of Heredity Based on Gregor Mendel’s fundamental principles of heredity Parents pass on discrete inheritable factors (genes) to their offspring These factors remain as separate factors from one generation to the next Useful Genetic Vocabulary Homozygous—having 2 identical alleles for a given trait (PP or pp) Heterozygous—having 2 different alleles for a trait (Pp); ½ gametes carry one allele (P) and ½ gametes carry the other allele (p) Phenotype—an organism’s expressed traits (purple or white flowers) Genotype—an organism’s genetic makeup (PP, Pp, or pp) Mendel’s Principles of Heredity First Law of Genetics: Law of Segregation alternate forms of genes are responsible for variations in inherited traits for each trait, an organism inherits 2 alleles, one from each parent If 2 alleles differ, one is fully expressed (dominant allele); the other is completely masked (recessive allele) 2 alleles for each trait segregate during gamete production Mendel’s Discoveries Developed true-breeding lines—populations that always produce offspring with the same traits as the parents when parents are self-fertilized Counted his results and kept statistical notes on experimental crosses Crosses Tracking One Characteristic: Flower Color x Ratio 3.15:1 x 3.14:1 x 3.01:1 x 2.96:1 x 2.95:1 x 2.82:1 x 2.84:1 3:1 Genotype versus Phenotype 1 PP (homozygous) 2 Pp (heterozygous) Pp (heterozygous) 1 pp (homozygous) Genotypic Ratio 1:2:1 Purple 3 Purple Purple 1 White Phenotypic Ratio 3:1 The Testcross The cross of any individual to a homozygous recessive parent Used to determine if the individual is homozygous dominant or heterozygous CAUTION: Must perform many, many crosses to be statistically significant Mendel’s Principles of Heredity Second Law of Genetics: Law of Independent Assortment During gamete formation, the segregation of the alleles of one allelic pair is independent of the segregation of another allelic pair Law discovered by following segregation of 2 genes Dihybrid Cross Mendelian Inheritance Reflects Rules of Probability Rules of Multiplication: The probability that independent events will occur simultaneously is the product of their individual probabilities. Mendelian Inheritance Reflects Rules of Probability Question: In a Mendelian cross between pea plants that are heterozygous for flower color (Pp), what is the probability that the offspring will be homozygous recessive? Answer: Probability that an egg from the F1 (Pp) will receive a p allele = ½ Probability that a sperm from the F1 will receive a p allele = ½ Overall probability that 2 recessive alleles will unite at fertilization: ½ x ½ = ¼ Mendelian Inheritance Reflects Rules of Probability Works for Dihybrid Crosses: Question: For a dihybrid cross, YyRr x YyRr, what is the probability of an F2 plant having the genotype YYRR? Answer: Probability that an egg from a YyRr parent will receive the Y and R alleles = ½ x ½ = ¼ Probability that a sperm from a YyRr parent will receive the Y and R alleles = ½ x ½ = ¼ Overall probability of an F2 plant having the genotype YYRR: ¼ x ¼ = 1/16 Mendelian Inheritance Reflects Rules of Probability Rules of Addition: The probability of an event that can occur in two or more independent ways is the sum of the separate probabilities of the different ways. Mendelian Inheritance Reflects Rules of Probability Question: In a Mendelian cross between pea plants that are heterozygous for flower color (Pp), what is the probability that the offspring will being a heterozygote? Answer: There are 2 ways in which a heterozygote may be produced: the dominant allele may be in the egg and the recessive allele in the sperm, or the dominant allele may be in the sperm and the recessive allele in the egg. Mendelian Inheritance Reflects Rules of Probability Probability that the dominant allele will be in the egg with the recessive in the sperm is ½ x½=¼ Probability that the dominant allele will be in the sperm with the recessive in the egg is ½ x½=¼ Therefore, the overall probability that a heterozygote offspring will be produced is ¼ +¼=½ Pedigree Analysis Analysis of existing populations Studies inheritance of genes in humans Useful when progeny data from several generations is limited Useful when studying species with a long generation time Symbols: = female = male = affected individual = mating I II = offspring in birth order I and II are generations = Identical twins = Fraternal twins Dominant Pedigree: I II III For dominant traits: •Affected individuals have at least one affected parent •The phenotype generally appears every generation •2 unaffected parents only have unaffected offspring Recessive Pedigree: I II III For recessive traits: •Unaffected parents can have affected offspring •Affected progeny are both male and female Recessive Human Disorders Sickle-cell anemia; autosomal recessive Caused by single amino acid substitution in hemoglobin Abnormal hemoglobin packs together to form rods creating crescent-shaped cells Reduces amount of oxygen hemoglobin can carry Genetic Testing & Counseling Genetic counselors can help determine probability of prospective parents passing on deleterious genes Genetic screening for various known diseases alleles (gene markers) Genetic Testing & Counseling Fetal testing Amniocentesis needle inserted into uterus and amniotic fluid extracted Test for certain chemicals or proteins in the fluid that are diagnostic of certain diseases Karyotype-can see chromosome abnormalities Genetic Testing & Counseling Fetal testing Chorion Villus Sampling Suctions off a small amount of fetal tissue from the chorionic villus of placenta Karyotype-can see chromosome abnormalities Ultrasound at 12 weeks --can see any physical abnormalities Variations to Mendel’s First Law of Genetics Incomplete dominance—pattern of inheritance in which one allele is not completely dominant over the other Heterozygote has a phenotype that is intermediate between the phenotypes of the 2 homozygous dominant parent and homozygous recessive parent Incomplete Dominance in Snapdragon Color F2 Genotypic ratio: 1 CRCR: 2 CRCW: 1 CWCW Phenotypic ratio: 1 red: 2 pink: 1 white Variations to Mendel’s First Law of Genetics Codominance—pattern of inheritance in which both alleles contribute to the phenotype of the heterozygote Multiple Alleles Some genes may have more than just 2 alternate forms of a gene. Example: ABO blood groups A and B refer to 2 genetically determined polysaccharides (A and B antigens) which are found on the surface of red blood cells (different from MN blood groups) A and B are codominant; O is recessive to A and B Multiple Alleles for the ABO Blood Groups 3 alleles: IA, IB, i Pleiotropy The ability of a single gene to have multiple phenotypic effects (pleiotropic gene affects more than one phenotype) Example: In tigers and Siamese cats, the gene that controls fur pigmentation also influences the connections between a cat;s eyes and the brain. A defective gene cause both abnormal pigmentation and cross-eye condition Sickle-cell disease—impact of abnormal hemoglobin can affect other organs Epistasis Interaction between 2 nonallelic genes in which one modifies the phenotypic expression of the other. If epistasis occurs between 2 nonallelic genes, the phenotypic ratio resulting from a dihybrid cross will deviate from the 9:3:3:1 Mendelian ratio CC, Cc = Melanin deposition cc = Albinism BB, Bb = Black coat color bb = Brown coat color A cross between heterozygous black mice for the 2 genes results in a 9:3:4 phenotypic ratio 9 Black (B_C_) 3 Brown (bbC_) 4 Albino (__cc) Polygenic Traits Skin pigmentation in humans --3 genes with the dark-skin allele (A, B, C) contribute one “unit” of darkness to the phenotype. These alleles are incompletely dominant over the other alleles (a, b, c) --An AABBCC person would be very dark; an aabbcc person would be very light --An AaBbCc person would have skin of an intermediate shade Chromosome Theory of Inheritance Based on Mendel’s observations and genetic studies and cytological evidence Mendelian factors (genes) are located on chromosomes It is the chromosomes that segregate and independently assort Genes on the same chromosome tend to be inherited together Experiment Purple flower Certain genes are linked They tend to be inherited together because they reside close together on the same chromosome PpLI PpLI Observed offspring 284 21 21 55 Phenotypes Purple long Purple round Red long Red round Long pollen Prediction (9:3:3:1) 215 71 71 24 Explanation: linked genes PL Parental diploid cell PpLI PI Meiosis Most gametes PL PI Fertilization Sperm Most offspring PL PI PL PL PL PI PI PI PL PI PL Eggs PI 3 purple long : 1 red round Not accounted for: purple round and red long Figure 9.19 Crossing over produces new combinations of alleles Crossing over can separate linked alleles Producing gametes with recombinant chromosomes A B a b A b a B A B a Tetrad Figure 9.20 A b Crossing over Gametes Thomas Hunt Morgan Performed some of the early studies of crossing over using the fruit fly Drosophila melanogaster Experiments with Drosophila revealed linkage traits. Why Drosophila? Easily cultured Prolific breeders Short generation times Only 4 pairs of chromosomes, visible under microscope Figure 9.20 B Morgan’s experiments Experiment Black body, vestigial wings Gray body, long wings (wild type) Demonstrated the role of crossing over in inheritance GgLI ggll Male Female Offspring Gray long Black vestigial Gray vestigial Black long 965 944 206 Parental phenotypes Recombinant phenotypes Recombination frequency = Explanation 391 recombinants = 0.17 or 17% 2,300 total offspring GL g l g l gl GgLI (female) GL g l Gl gL Eggs GL gl gl gl Offspring Figure 9.20 C 185 Gl gl ggll (male) gl Sperm gL gl Geneticists use crossover data to map genes Morgan and his students Used crossover data to map genes in Drosophila Figure 9.21 A One of Morgan’s students, Alfred Sturtevant, used crossing over of linked genes to develop a method for constructing a genetic map. This map is an ordered list of the genetic loci along a particular chromosome. Copyright © 2002 Pearson Education, Inc., publishing as Benjamin Cummings Sturtevant hypothesized that the frequency of recombinant offspring reflected the distances between genes on a chromosome. The farther apart two genes are, the higher the probability that a crossover will occur between them and therefore a higher recombination frequency. The greater the distance between two genes, the more points between them where crossing over can occur. Sturtevant used recombination frequencies from fruit fly crosses to map the relative position of genes along chromosomes, a linkage map. Copyright © 2002 Pearson Education, Inc., publishing as Benjamin Cummings Recombination frequencies Can be used to map the relative positions of genes on chromosomes. Mutant phenotypes Short aristae Chromosome g Black body (g) Cinnabar eyes (c) Vestigial wings (l) Brown eyes Red eyes (C) Normal wings (L) Red eyes l c 17% 9% 9.5% Recombination frequencies Long aristae (appendages on head) Gray body (G) Wild-type phenotypes Figure 9.21 B Figure 9.21 C Fig. 15.5b Copyright © 2002 Pearson Education, Inc., publishing as Benjamin Cummings Sturtevant used the testcross design to map the relative position of three fruit fly genes, body color (b), wing size (vg), and eye color (cn). The recombination frequency between cn and b is 9%. The recombination frequency between cn and vg is 9.5%. The recombination frequency between b and vg is 17%. The only possible arrangement of these three genes places the eye color gene between the other two. Fig. 15.6 Copyright © 2002 Pearson Education, Inc., publishing as Benjamin Cummings Sturtevant expressed the distance between genes, the recombination frequency, as map units. One map unit (sometimes called a centimorgan) is equivalent to a 1% recombination frequency. What is the sequence of these three genes on the chromosome? A series of matings shows that the recombination frequency between the black-body gene (b) and the gene for short wings (s) is 36%. The recombination frequency between purple eyes (p) and short wings is 41%. The recombination frequency between black-body gene and purple eyes is 6%. Answer B 6% P B 36% S P 41% P 6% B B 36% P 41% S S 6% + 36% = 42% S You may notice that the three recombination frequencies in our mapping example are not quite additive: 9% (b-cn) + 9.5% (cn-vg) > 17% (bvg). This results from multiple crossing over events. A second crossing over “cancels out” the first and reduces the observed number of recombinant offspring. Genes father apart (for example, b-vg) are more likely to experience multiple crossing over events. Copyright © 2002 Pearson Education, Inc., publishing as Benjamin Cummings Some genes on a chromosome are so far apart that a crossover between them is virtually certain. In this case, the frequency of recombination reaches is its maximum value of 50% and the genes act as if found on separate chromosomes and are inherited independently. In fact, several genes studies by Mendel are located on the same chromosome. For example, seed color and flower color are far enough apart that linkage is not observed. Plant height and pod shape should show linkage, but Mendel never reported results of this cross. •If the recombination frequency is 50% or greater, the genes are not linked •If the recombination frequency is less than 50%, the genes are linked Copyright © 2002 Pearson Education, Inc., publishing as Benjamin Cummings Genes located far apart on a chromosome are mapped by adding the recombination frequencies between the distant genes and intervening genes. Sturtevant and his colleagues were able to map the linear positions of genes in Drosophila into four groups, one for each chromosome. Fig. 15.7 Copyright © 2002 Pearson Education, Inc., publishing as Benjamin Cummings A linkage map provides an imperfect picture of a chromosome. Map units indicate relative distance and order, not precise locations of genes. The frequency of crossing over is not actually uniform over the length of a chromosome. Combined with other methods like chromosomal banding, geneticists can develop cytological maps. These indicated the positions of genes with respect to chromosomal features. More recent techniques show the absolute distances between gene loci in DNA nucleotides. Copyright © 2002 Pearson Education, Inc., publishing as Benjamin Cummings SEX CHROMOSOMES AND SEXLINKED GENES Chromosomes determine sex in many species In mammals, a male has one X chromosome and one Y chromosome And a female has two X chromosomes The Y chromosome Has genes for the development of testes The absence of a Y chromosome Allows ovaries to develop Figure 9.22 A (male) 44 Parents’ + diploid XY cells 22 + X (female) 44 + XX 22 + Y Sperm 22 + X 44 + XX 44 + XY Offspring (diploid) Egg Other systems of sex determination exist in other animals and plants 22 + XX 22 + X 76 + ZW 76 + ZZ 32 16 Figure 9.22 B Figure 9.22 C Figure 9.22 D Sex-linked genes exhibit a unique pattern of inheritance All genes on the sex chromosomes Are said to be sex-linked In many organisms The X chromosome carries many genes unrelated to sex For genes on X chromosomes, females have 2 copies of gene—can have 2 different alleles For genes on X chromosomes, males have only one allele; the allele they express Males’ X comes from mom (dad contributes Y) Males are said to be hemizygous If allele is recessive, it will be expressed A male receiving a single X-linked allele from his mother Will have the disorder A female Has to receive the allele from both parents to be affected In Drosophila White eye color is a sex-linked trait Figure 9.23 A The inheritance pattern of sex-linked genes Is reflected in females and males Female XR XR Male Female Xr Y XR Xr Eggs XR Y XR Xr XR Y Female XR Y XR X r XR F Figure 9.23 B All red eyes Xr Y Sperm XR Y XR XR XR Y XR Xr Y XR Xr XR Y Xr Xr Xr Y Eggs Eggs R = red-eye allele r = white-eye allele 1 Male Sperm Sperm Xr Male F2 Xr Xr XR Xr Y Figure 9.23 C Xr Figure 9.23 D All red eyes and ½ red eyes and ½ CONNECTION Sex-linked disorders affect mostly males Most sex-linked human disorders Are due to recessive alleles Are mostly seen in males Queen victoria Albert Alice Louis Alexandra Figure 9.24 A Figure 9.24 B Czar Nicholas II of Russia Alexis The End Nature versus Nature Environmental conditions can influence the phenotypic expression of a gene, so that a single genotype may produce a range of phenotypes One may have a history of heart disease in their family and thus be at risk of heart disease themselves. If this person watches his/her diet, exercises, doesn’t smoke, etc. his/her risk of actually developing heart disease decreases