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Mendel and the Gene Idea Inheritance The passing of traits from parents to offspring. Humans have known about inheritance for thousands of years. Genetics The scientific study of the inheritance. Genetics is a relatively “new” science (about 150 years). Genetic Theories 1. Blending Theory traits were like paints and mixed evenly from both parents. 2. Incubation Theory only one parent controlled the traits of the children. Ex: Spermists and Ovists 3. Particulate Model parents pass on traits as discrete units that retain their identities in the offspring. Gregor Mendel Father of Modern Genetics. Mendel’s paper published in 1866, but was not recognized by Science until the early 1900’s. Reasons for Mendel's Success Used an experimental approach. Applied mathematics to the study of natural phenomena. Kept good records. Mendel was a pea picker. He used peas as his study organism. Why Use Peas? Short life span. Bisexual. Many traits known. Cross- and self-pollinating. (You can eat the failures). Cross-pollination Two parents. Results in hybrid offspring where the offspring may be different than the parents. Self-pollination One flower as both parents. Natural event in peas. Results in pure-bred offspring where the offspring are identical to the parents. Mendel's Work Used seven characters, each with two expressions or traits. Example: Character - height Traits - tall or short. Monohybrid or Mendelian Crosses Crosses that work with a single character at a time. Example - Tall X short P Generation The Parental generation or the first two individuals used in a cross. Example - Tall X short Mendel used reciprocal crosses, where the parents alternated for the trait. Offspring F1 - first filial generation. F2 - second filial generation, bred by crossing two F1 plants together or allowing a F1 to self-pollinate. Another Sample Cross P1 F1 F2 Tall X short (TT x tt) all Tall (Tt) 3 tall to 1 short (1 TT: 2 Tt: 1 tt) Results - Summary In all crosses, the F1 generation showed only one of the traits regardless of which was male or female. The other trait reappeared in the F2 at ~25% (3:1 ratio). Mendel's Hypothesis 1. Genes can have alternate versions called alleles. 2. Each offspring inherits two alleles, one from each parent. Mendel's Hypothesis 3. If the two alleles differ, the dominant allele is expressed. The recessive allele remains hidden unless the dominant allele is absent. Comment - do not use the terms “strongest” to describe the dominant allele. Mendel's Hypothesis 4. The two alleles for each trait separate during gamete formation. This now called: Mendel's Law of Segregation Law of Segregation Vocabulary Phenotype - the physical appearance of the organism. Genotype - the genetic makeup of the organism, usually shown in a code. T = tall t = short Helpful Vocabulary Homozygous - When the two alleles are the same (TT/tt). Heterozygous- When the two alleles are different (Tt). 6 Mendelian Crosses are Possible Cross Genotype Phenotype TT X tt Tt X Tt TT X TT tt X tt TT X Tt Tt X tt all Tt 1TT:2Tt:1tt all TT all tt 1TT:1Tt 1Tt:1tt all Dom 3 Dom: 1 Res all Dom all Res all Dom 1 Dom: 1 Res Test Cross Cross of a suspected heterozygote with a homozygous recessive. Ex: T_ X tt If TT - all dominant If Tt - 1 Dominant: 1 Recessive Dihybrid Cross Cross with two genetic traits. Need 4 letters to code for the cross. Ex: TtRr Each Gamete - Must get 1 letter for each trait. Ex. TR, Tr, etc. Number of Kinds of Gametes Critical to calculating the results of higher level crosses. Look for the number of heterozygous traits. Equation The formula 2n can be used, where “n” = the number of heterozygous traits. Ex: TtRr, n=2 22 or 4 different kinds of gametes are possible. TR, tR, Tr, tr Dihybrid Cross TtRr X TtRr Each parent can produce 4 types of gametes. TR, Tr, tR, tr Cross is a 4 X 4 with 16 possible offspring. Results 9 Tall, Red flowered 3 Tall, white flowered 3 short, Red flowered 1 short, white flowered Or: 9:3:3:1 Law of Independent Assortment The inheritance of 1st genetic trait is NOT dependent on the inheritance of the 2nd trait. Inheritance of height is independent of the inheritance of flower color. Comment Ratio of Tall to short is 3:1 Ratio of Red to white is 3:1 The cross is really a product of the ratio of each trait multiplied together. (3:1) X (3:1) Probability Genetics is a specific application of the rules of probability. Probability - the chance that an event will occur out of the total number of possible events. Genetic Ratios The monohybrid “ratios” are actually the “probabilities” of the results of random fertilization. Ex: 3:1 75% chance of the dominant 25% chance of the recessive Rule of Multiplication The probability that two alleles will come together at fertilization, is equal to the product of their separate probabilities. Example: TtRr X TtRr The probability of getting a tall offspring is ¾. The probability of getting a red offspring is ¾. The probability of getting a tall red offspring is ¾ x ¾ = 9/16 Comment Use the Product Rule to calculate the results of complex crosses rather than work out the Punnett Squares. Ex: TtrrGG X TtRrgg Solution “T’s” = Tt X Tt = 3:1 “R’s” = rr X Rr = 1:1 “G’s” = GG x gg = 1:0 Product is: (3:1) X (1:1) X (1:0 ) = 3:3:1:1 Tips for Dihybrid Problems Identify all of the alleles that can be identified from the phenotypes of the parents or kids. Work from the monohybrid ratios to solve for the missing alleles. Variations on Mendel 1. 2. 3. 4. 5. Incomplete Dominance Codominance Multiple Alleles Epistasis Polygenic Inheritance Incomplete Dominance When the F1 hybrids show a phenotype somewhere between the phenotypes of the two parents. Ex. Red X White snapdragons F1 = all pink F2 = 1 red: 2 pink: 1 white Result No hidden Recessive. 3 phenotypes and 3 genotypes (Hint! – often a “dose” effect) = CR CR Pink = CRCW White = CWCW Red Another example Another example The color of fruit for plant "X" is determined by two alleles. When two plants with orange fruits are crossed the following phenotypic ratios are present in the offspring: 25% red fruit, 50% orange fruit, 25% yellow fruit. What are the genotypes of the parent orange-fruited plants? answer Again, it comes in really handy if you can recognize right off the bat that we have three phenotypes & just 2 alleles. That means we are dealing with either incomplete or codominance. Since orange is a blend of red & yellow, it's incomplete dominance. So the "in-between" phenotype is the hybrid, orange in this example. We'll use RR = red, YY = yellow, & our orange fruits are RY. Another example 1. A cross between a blue blahblah bird & a white blahblah bird produces offspring that are silver. The color of blahblah birds is determined by just two alleles. a) What are the genotypes of the parent blahblah birds in the original cross? b) What is/are the genotype(s) of the silver offspring? c) What would be the phenotypic ratios of offspring produced by two silver blahblah birds? answer a) Since there are only 2 alleles & three phenotypes (blue, white, & silver), we must be dealing with incomplete dominance. So the blue parent is homozygous blue (BB) & the white parent is homozygous white (WW). b) The silver offspring are hybrids (BW), one blue allele & one white allele, neither one dominating the other. Instead, we get a blending of blue & white, i.e. silver. c) silver x silver = BW x BW The p-square would look like what you see here. As you can see, 25% (1/4) of the offspring are homozygous white (WW), 25% (1/4) are homozygous blue (BB), & 50% (2/4) are hybrid & therefor have the silver phenotype. Codominance Both alleles are expressed equally in the phenotype. Ex. MN blood group MM MN NN Codominance The genetic gist to codominance is pretty much the same as incomplete dominance. A hybrid organism shows a third phenotype --- not the usual "dominant" one & not the "recessive" one ... but a third, different phenotype. With incomplete dominance we get a blending of the dominant & recessive traits so that the third phenotype is something in the middle (red x white = pink). In COdominance, the "recessive" & "dominant" traits appear together in the phenotype of hybrid organisms. Result No hidden Recessive. 3 phenotypes and 3 genotypes (but not a “dose” effect) Example Question Predict the phenotypic ratios of offspring when a homozygous white cow is crossed with a roan bull. Answer Step #1 --- recognize that "roan" is a codominance trait. Homozygous white = WW, & roan = RW (a hybrid cow). So our cross is WW x RW & the punnett square should look something like what you see here. The results: 2/4 offspring (50%) will be roan (RW), & 50% will be white (WW). Question What should the genotypes & phenotypes for parent cattle be if a farmer wanted only cattle with red fur? Answer Well, the only way to have red fur is to be homozygous red (RR). In order to get that genotype in all the offspring both parents must be "RR". A parent with one or more "W" alleles will cause the inheritence of roan fur in some offspring. Go ahead & work out all the punnett squares if you don't believe me. Only RR x RR gives you 100% RR. RR x RW would produce 50% roan, 50% red, RW x RW produces 25% red, 50% roan & 25% white, WW x RW would produce 50% roan, 50% white, & WW x RR would produce 100% roan (RW). Question A cross between a black cat & a tan cat produces a tabby pattern (black & tan fur together). a) What pattern of inheritence does this illustrate? Question What percent of kittens would have tan fur if a tabby cat is crossed with a black cat? Answer Tabby cats are the hybrids (because they have both colors) & a black cat must be homozygous black. So the cross for this problem is BB (black) x BT (tabby). The p-square is at the right. The results show that 50% of the offspring will be BB (black) & 50% will be tabby (BT). So to answer the question, 0% of the kittens will be tan. Multiple Alleles When there are more than 2 alleles for a trait. Ex. ABO blood group IA - A type antigen IB - B type antigen i - no antigen Result Multiple genotypes and phenotypes. Very common event in many traits. Alleles and Blood Types Type A B AB O Genotypes IA IA or IAi IB IB or IBi IAIB ii Comment Rh blood factor is a separate factor from the ABO blood group. Rh+ = dominant Rh- = recessive A+ blood = dihybrid trait Problem Wife is type O Husband is type AB Child is type O Question - Is this possible? Comment - Wife’s boss is type O Genotypes type A (IA IA ) Husband: type AB (IAIB) Child: type O (ii) Therefore, the child is the offspring of the wife and her boss. Wife: Polygenic Inheritance Factors that are expressed as continuous variation. Lack clear boundaries between the phenotype classes. Ex: skin color, height Genetic Basis Several genes govern the inheritance of the trait. Ex: Skin color is likely controlled by at least 4 genes. Each dominant gives a darker skin. Result Mendelian ratios fail. Traits tend to "run" in families. Offspring often intermediate between the parental types. Trait shows a “bell-curve” or continuous variation. Genetic Studies in Humans Often done by Pedigree charts. Why? Can’t do controlled breeding studies in humans. Small number of offspring. Long life span. Sex Linkage X- linked recessive X-linked dominant Y-linked X-linked recessive Haemophelia Red-green color blindness White eyed male fruit flies Affects males more than females Why?? X-linked dominant Fragile X syndrome Affected males always have affected daughters but unaffected sons Why?? Y linkage Rare to have mutated genes on Y Why?? Pedigree Chart Symbols Male Female Person with trait Sample Pedigree Dominant Trait Recessive Trait Human Recessive Disorders Several thousand known: Albinism Sickle Cell Anemia Tay-Sachs Disease Cystic Fibrosis PKU Galactosemia Sickle-cell Disease Most common inherited disease among African-Americans. Single amino acid substitution results in malformed hemoglobin. Reduced O2 carrying capacity. Codominant inheritance. Tay-Sachs Eastern European Jews. Brain cells unable to metabolize type of lipid, accumulation of causes brain damage. Death in infancy or early childhood. Cystic Fibrosis Most common lethal genetic disease in the U.S. Most frequent in Caucasian populations (1/20 a carrier). Produces defective chloride channels in membranes. Recessive Pattern Usually rare. Skips generations. Occurrence increases with consaguineous matings. Often an enzyme defect. Affects males and females equally. Human Dominant Disorders Less common then recessives. Affects males and females equally. Ex: Huntington’s disease Achondroplasia Familial Hypercholesterolemia Inheritance Pattern Each affected individual had one affected parent. Doesn’t skip generations. Homozygous cases show worse phenotype symptoms. May have post-maturity onset of symptoms. Genetic Screening Risk assessment for an individual inheriting a trait. Uses probability to calculate the risk. General Formal R=FXMXD R = risk F = probability that the female carries the gene. M = probability that the male carries the gene. D = Disease risk under best conditions. Example Wife has an albino parent. Husband has no albinism in his pedigree. Risk for an albino child? Risk Calculation Wife = probability is 1.0 that she has the allele. Husband = with no family record, probability is near 0. Disease = this is a recessive trait, so risk is Aa X Aa = .25 R = 1 X 0 X .25 R = 0 Risk Calculation Assume husband is a carrier, then the risk is: R = 1 X 1 X .25 R = .25 There is a .25 chance that every child will be albino. Common Mistake If risk is .25, then as long as we don’t have 4 kids, we won’t get any with the trait. Risk is .25 for each child. It is not dependent on what happens to other children. Carrier Recognition Fetal Testing Amniocentesis Chorionic Newborn villi sampling Screening Fetal Testing Biochemical Tests Chromosome Analysis Multifactorial Diseases Where Genetic and Environment Factors interact to cause the Disease. Ex. Heart Disease Genetic Diet Exercise Bacterial Infection