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Chapter 14 Mendel and the Gene Idea
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Inheritance The passing of traits from parents to offspring.
Humans have known about inheritance for thousands of years.
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Genetics The scientific study of the inheritance.
Genetics is a relatively “new” science (about 150 years).
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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
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3. Particulate Model - parents pass on traits as discrete units that retain their identities in the offspring.
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Gregor Mendel Father of Modern Genetics.
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Mendel’s paper published in 1866, but was not recognized by Science until the early 1900’s.
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Reasons for Mendel's Success
Used an experimental approach. Applied mathematics to the study of natural phenomena. Kept good records.
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Mendel was a pea picker. He used peas as his study organism.
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Why Use Peas? Short life span. Bisexual. Many traits known.
Cross- and self-pollinating. (You can eat the failures).
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Cross-pollination Two parents.
Results in hybrid offspring where the offspring may be different than the parents.
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Self-pollination One flower as both parents. Natural event in peas.
Results in pure-bred offspring where the offspring are identical to the parents.
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Mendel's Work Used seven characters, each with two expressions or traits. Example: Character - height Traits - tall or short.
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Monohybrid or Mendelian Crosses
Crosses that work with a single character at a time. Example - Tall X short
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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.
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Offspring F1 - first filial generation.
F2 - second filial generation, bred by crossing two F1 plants together or allowing a F1 to self-pollinate.
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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).
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Mendel's Hypothesis 1. Genes can have alternate versions called alleles. 2. Each offspring inherits two alleles, one from each parent.
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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.
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Mendel's Hypothesis 4. The two alleles for each trait separate during gamete formation. This now called: Mendel's Law of Segregation
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Law of Segregation
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Mendel’s Experiments Showed that the Particulate Model best fit the results.
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Vocabulary Phenotype - the physical appearance of the organism.
Genotype - the genetic makeup of the organism, usually shown in a code. T = tall t = short
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Helpful Vocabulary Homozygous - When the two alleles are the same (TT/tt). Heterozygous- When the two alleles are different (Tt).
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6 Mendelian Crosses are Possible
Cross Genotype Phenotype TT X tt all Tt all Dom Tt X Tt TT:2Tt:1tt Dom: 1 Res TT X TT all TT all Dom tt X tt all tt all Res TT X Tt TT:1Tt all Dom Tt X tt Tt:1tt Dom: 1 Res
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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
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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.
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Number of Kinds of Gametes
Critical to calculating the results of higher level crosses. Look for the number of heterozygous traits.
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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
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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.
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Results 9 Tall, Red flowered 3 Tall, white flowered
3 short, Red flowered 1 short, white flowered Or: 9:3:3:1
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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.
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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)
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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.
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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
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Rule of Multiplication or Product Rule
The probability that two alleles will come together at fertilization, is equal to the product of their separate probabilities.
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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
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Comment Use the Product Rule to calculate the results of complex crosses rather than work out the Punnett Squares.
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The Product Rule Punnett Squares are useful when tracking 1 or 2 traits, but can become overwhelming when looking at any more than 2. The Product Rule is a much simpler way to determine the likelihood of getting a particular result from any cross.
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The Product Rule To use the product rule we determine the likelihood of getting each trait individually, then multiply those probabilities together. Ex: Let’s look at a ball python AaPp x AaPp (A is normal, a is albino, P is pinstripe, p is not pinstripe)
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The Product Rule Look at each trait separately: Aa x Aa Pp x Pp
There is a ¼ chance of hatching an albino from this cross Pp x Pp Pinstripe is dominant so ¾ will be pinstripe What is the chance of getting an albino pinstripe from this cross? ¼ x ¾ = 3/16
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The Product Rule Let’s try with 4 traits
Pinstripe (dominant) PP, Pp, pp Albino (recessive) AA, Aa, aa Piebald (recessive) BB, Bb, bb Hypo (recessive) HH, Hh, hh
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The Product Rule Parents are: AaPpBbhh x aappBbHh Albino Aa x aa = ½
Pinstripe Pp x pp = ½ Piebald Bb x bb = ¼ Hypo hh x Hh = ½ ½ x ½ x ¼ x ½ = 1/32 chance of getting an animal that shows all 4 of these traits
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Variations on Mendel 1. Incomplete Dominance 2. Codominance
3. Multiple Alleles 4. Epistasis 5. Polygenic Inheritance
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Incomplete Dominance When the F1 hybrids show a phenotype somewhere between the phenotypes of the two parents. Often a “dose” effect Ex. Red X White snapdragons F1 = all pink F2 = 1 red: 2 pink: 1 white
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Result No hidden Recessive.
3 phenotypes and genotypes (Hint! – often a “dose” effect) Red = CR CR Pink = CRCW White = CWCW
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Another example
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Codominance Both alleles are expressed equally in the phenotype.
Ex. MN blood group MM MN NN
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Result No hidden Recessive.
3 phenotypes and genotypes (but not a “dose” effect)
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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
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Result Multiple genotypes and phenotypes.
Very common event in many traits.
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Alleles and Blood Types
Type Genotypes A IA IA or IAi B IB IB or IBi AB IAIB O ii
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Comment Rh blood factor is a separate factor from the ABO blood group.
Rh+ = dominant Rh- = recessive A+ blood = dihybrid trait
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Epistasis When 1 gene locus alters the expression of a second locus.
1st gene: C = color, c = albino 2nd gene: B = Brown, b = black
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Gerbils
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In Gerbils CcBb X CcBb Brown X Brown F1 = 9 brown (C_B_)
3 black (C_bb) 4 albino (cc__)
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Result Ratios often altered from the expected.
One trait may act as a recessive because it is “hidden” by the second trait.
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Epistasis in Mice
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Problem Wife is type A Husband is type AB Child is type O
Question - Is this possible? Comment - Wife’s boss is type O
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Bombay Effect Epistatic Gene on ABO group.
Alters the expected ABO outcome. H = dominant, normal ABO h = recessive, no A,B, reads as type O blood.
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Genotypes Wife: type A (IA IA , Hh) Husband: type AB (IAIB, Hh)
Child: type O (IA IA , hh) Therefore, the child is the offspring of the wife and her husband (and not the boss).
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Bombay - Detection When ABO blood type inheritance patterns are altered from expected.
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Polygenic Inheritance
Factors that are expressed as continuous variation. Lack clear boundaries between the phenotype classes. Ex: skin color, height
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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.
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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.
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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.
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Pedigree Chart Symbols
Male Female Person with trait
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Sample Pedigree
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Recessive Trait Dominant Trait
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Human Recessive Disorders
Several thousand known: Albinism Sickle Cell Anemia Tay-Sachs Disease Cystic Fibrosis PKU Galactosemia
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Sickle-cell Disease Most common inherited disease among African-Americans. Single amino acid substitution results in malformed hemoglobin. Reduced O2 carrying capacity. Codominant inheritance.
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Tay-Sachs Eastern European Jews.
Brain cells unable to metabolize type of lipid, accumulation of causes brain damage. Death in infancy or early childhood.
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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.
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Recessive Pattern Usually rare. Skips generations.
Occurrence increases with consaguineous matings. Often an enzyme defect.
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Human Dominant Disorders
Less common then recessives. Ex: Huntington’s disease Achondroplasia Familial Hypercholsterolemia
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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.
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Genetic Screening Risk assessment for an individual inheriting a trait. Uses probability to calculate the risk.
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General Formal R = F X M X D R = risk
F = probability that the female carries the gene. M = probability that the male carries the gene. D = Disease risk under best conditions.
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Example Wife has an albino parent.
Husband has no albinism in his pedigree. Risk for an albino child?
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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
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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 any child will be albino.
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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.
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Carrier Recognition Fetal Testing Newborn Screening Amniocentesis
Chorionic villi sampling Newborn Screening
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Fetal Testing Biochemical Tests Chromosome Analysis
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Amniocentesis Administered between 11 - 14 weeks.
Extract amnionic fluid = cells and fluid. Biochemical tests and karyotype. Requires culture time for cells.
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Chorionic Villi Sampling
Administered between weeks. Extract tissue from chorion (placenta). Slightly greater risk but no culture time required.
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Newborn Screening Blood tests for recessive conditions that can have the phenotypes treated to avoid damage. Genotypes are NOT changed. Ex. PKU
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Newborn Screening Required by law in all states.
Tests 1- 6 conditions. Required of “home” births too.
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Multifactorial Diseases
Where Genetic and Environment Factors interact to cause the Disease. Becoming more widely recognized in medicine.
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Ex. Heart Disease Genetic Diet Exercise Bacterial Infection
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Genes & Environment
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Summary Know the Mendelian crosses and their patterns.
Be able to work simple genetic problems (practice). Watch genetic vocabulary. Be able to read pedigree charts.
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Summary Be able to recognize and work with some of the “common” human trait examples.
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