BSC 1010C
General Biology I
Dr. Graeme Lindbeck
glindbeck@valenciacollege.edu


Mendel and the Gene Idea

Outline

  1. Mendel brought an experimental and quantitative approach to genetics
  2. According to the law of segregation, the two alleles for a character are packaged into separate gametes
    1. Some Useful Genetic Vocabulary
    2. The Testcross
  3. According to the law of independent assortment, each pair of alleles segregates into gametes independently
  4. Mendelian inheritance reflects rules of probability
    1. Rule of Multiplication
    2. Rule of Addition
    3. Using Rules of Probability to Solve Genetics Problems
  5. Mendel discovered the particulate behavior of genes: a review
  6. The relationship between genotype and phenotype is rarely simple
    1. Incomplete Dominance
    2. What Is a Dominant Allele?
    3. Multiple Alleles
    4. Pleiotropy
    5. Epistasis
    6. Polygenic Inheritance
    7. Nature Versus Nurture: The Environmental Impact on Phenotype
    8. Integrating a Mendelian View of Heredity and Variation
  7. Many human disorders follow Mendelian patterns of inheritance
    1. Recessively Inherited Disorders
    2. Dominantly Inherited Disorders
    3. Multifactorial Disorders
  8. Technology is providing new tools for genetic testing and counseling
    1. Carrier Recognition
    2. Fetal Testing
    3. Newbom Screening

Based on their observations from ornamental plant breeding, biologists in the 19th century realized that both parents contribute to the characteristics of the offspring. Prior to Mendel, the blending theory of inheritance was favored.

Blending theory of heredity = Pre-Mendelian theory of heredity proposing that hereditary material from each parent mixes in the offspring; once blended like two liquids in solution, the hereditary material is inseparable and the offspring's traits are some intermediate between the parental types. According to this theory:

This blending theory of heredity was inconsistent with the observations that:

Modern genetics began in the 1860's when Gregor Mendel, an Augustinian monk, discovered the fundamental principles of heredity. Mendel's great contribution to modem genetics was to replace the blending theory of heredity with the particulate theory of heredity.

Particulate theory of heredity = Gregor Mendel's theory that parents transmit to their offspring discrete inheritable factors (now called genes) that remain as separate factors from one generation to the next.

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I. Mendel brought an experimental and quantitative approach to genetics

While attending the University of Vienna from 1851-1853, Mendel was influenced by two professors:

These experiences inspired Mendel to use key elements of the scientific process in the study of heredity. Unlike most nineteenth century biologists, he used a quantitative approach to his experimentation. .

In 1857, Mendel was living in an Augustinian monastery, where he bred garden peas in the abbey garden. He probably chose garden peas as.his experimental organisms because:

Character = Detectable inheritable feature of an organism.

Trait = Variant of an inheritable character.

Mendel chose characters in pea plants that differed in a relatively clear-cut manner. He chose seven characters, each of which occurred in two alternative forms:

  1. Flower color (purple or white)
  2. Flower position (axial or terminal)
  3. Seed color (yellow or green)
  4. Seed shape (round or wrinkled)
  5. Pod shape (inflated or constricted)
  6. Pod color (green or yellow)
  7. Stem length (tall or dwarf)

True breeding = Always producing offspring with the same traits as the parents when the parents are self-fertilized.

Mendel started his experiments with true-breeding plant varieties, which he hybridized (crosspollinated) in experimental crosses.

Mendel observed the transmission of selected traits for at least three generations and arrived at two principles of heredity that are now known as the law of segregation and the law of independent assortment.

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II. According to the law of segregation, the two alleles for a character are packaged into separate gametes

When Mendel crossed true-breeding plants with different character traits, he found that the traits did not blend.

Mendel repeated these experiments with the other six characters and found similar 3:1 ratios in the F2 generations. From these observations he developed a hypothesis that can be divided into four parts:

  1. Alternative forms of genes are responsible for variations in inherited characters.
  2. For each character, an organism inherits two alleles, one from each parent.
  3. If the two alleles differ, one is fully expressed (dominant allele); the other is completely masked (recessive allele).
  4. The two alleles for each character segregate during gamete production.

Mendel's law of segregation = Allele pairs segregate during gamete formation (meiosis), and the paired condition is restored by the random fusion of gametes at fertilization.

The combinations resulting from a genetic cross may be predicted by using a Punnett Square.

The pattern of inheritance for all seven of the characteristics studied by Mendel was the same: one parental trait disappeared in the F1 generation and reappeared in one-fourth of the F2 generation.

  1. Some Useful Genetic Vocabulary
  2. Homologous = Having two identical alleles for a given trait (e.g. PP or pp).

    Heterozygous = Having two different alleles for a trait (e.g. Pp).

    Phenotype = An organism's expressed traits (e,g. purple or white flowers).

    Genotype = An organism's genetic makeup (e.g. PP, Pp or pp).

  3. The Testcross
  4. Because some alleles are dominant over others, the genotype of an organism may not be apparent. For example:

    To determine whether an organism with a dominant phenotype (e.g. purple flower color) is homozygous dominant or heterozygous, you use a testcross.

    Test cross = The breeding of an organism of unknown genotype with a homozygous recessive.

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III. According to the law of independent assortment, each pair of alleles segregates into gametes independently

Mendel deduced the law of segregation from experiments with monohybrid crosses, breeding experiments that used parental varieties differing in a single trait. He then performed crosses between parental varieties that differed in two characters or dihybrid crosses.

Dihybrid cross = A mating between parents that are heterozygous for two characters (dihybrids).

These results were repeatable. Mendel performed similar dihybrid crosses with all seven characters in various combinations and found the same 9:3:3:1 ratio in each case.

He also noted that the ratio for each individual gene pair was 3:1, the same as that for a monohybrid cross.

This behavior of genes during gamete formation is referred to as Mendel's law of independent assortment.

Mendel's law of independent assortment = Each allele pair segregates independently of other gene pairs during gamete formation.

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IV. Mendelian inheritance reflects rules of probability

Segregation and independent assortment of alleles during gamete formation and fusion of gametes at fertilization are random events. Thus, if we know the genotypes of the parents, we can predict the most likely genotypes of their offspring by using the simple laws of probability:

Random events are independent of one another.

Two basic rules of probability are helpful in solving genetics problems: the rule of multiplication and the rule of addition.

  1. Rule of Multiplication
  2. Rule of multiplication = The probability that independent events will occur simultaneously is the product of their individual probabilities. For example:

    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.

    The overall probability that two recessive alleles will unite at fertilization:

    ½ x ½ = ¼.

    This rule also applies to dihybrid crosses. For example:

    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 a the Y and R alleles = ½ x ½ = ¼.

    The overall probability of an F2 plant having the genotype YYRR: ¼ x ¼ = 1/16

  3. Rule of Addition
  4. Rule 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. For example:

    Question: In a Mendelian cross between pea plants that are heterozygous for flower color (Pp), what is the probability of the offspring being a heterozygote?

    Answer: There are two ways in which a heterozygote may be produced - the dominant allele (P) may be in the egg and the recessive allele (p) in the sperm, or the dominant allele may be in the sperm and the recessive in the egg. Consequently, the probabil ity that the offspring will be heterozygous is the sum of the probabilities of those two possible ways:

    Probability that the dominant allele will be in the egg with the recessive in the sperm is ½ x ½ = ¼.

    Probability that the dominant allele will be in the sperm and the recessive in the egg is ¼ x ½ = ¼.

    Therefore, the probability that a heterozygous offspring will be produced is ¼ + ¼ = ½.

  5. Using Rules of Probability to Solve Genetics Problems
  6. The rules of probability can be used to solve complex genetics problems. For example, Mendel crossed pea varieties that differed in three characters (trihybrid crosses).

    Question: What is the probability that a trihybrid cross between two organisms with the genotypes AaBbCc and AaBbCc will produce an offspring with the genotype aabbcc?

    Answer: Because segregation of each allele pair is an independent event, we can treat this as three separate monohybrid crosses:

    Aa x Aa: probability for aa offspring = ¼

    Bb x Bb: probability for bb offspring = ¼

    Cc x Cc: probability for cc offspring = ¼

    The probability that these independent events will occur simultaneously is the product of their independent probabilities (rule of multiplication). So the probability that the offspring will be aabbcc is:

    ¼ aa x ¼ bb x ¼ cc = 1/64

    For another example, consider a trihybrid cross of garden peas, where:

    CharacterTrait & Genotype
    Flower Color Purple: PP, Pp
    White: pp
    Seed Color Yellow: YY, Yy
    Green: yy
    Seed Shape Round: RR, Rr
    Wrinkled: rr

    Question: What fraction of offspring from the following cross of garden peas, would show recessive phenotypes for at least two of the three traits?

    PpYyRr x Ppyyrr

    Answer: First list those genotypes that are homozygous recessive for at least two traits, (note that this includes the homozygous recessive for all three traits). Use the rule of multiplication to calculate the probability that offspring would be one of these genotypes. Then use the rule of addition to calculate the probability that two of the three traits would be homozygous recessive.

    Genotypes with at least two
    homozygous recessives
    Probability of
    genotype
    ppyyrr¼ x ½ x ½=1/16
    ppyyrr¼ x ½ x ½=1/16
    Ppyyrr½ x ½ x ½=2/16
    PPyyrr¼ x ½ x ½=1/16
    ppyyrr¼ x ½ x ½=1/16
     = 6/16 or 3/8 chance of two recessive traits

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V. Mendel discovered the particulate behavior of genes: a review

If a seed is planted from the F2 generation of a monohybrid cross, we cannot predict with absolute certainty that the plant will grow to produce white flowers (pp). We can say that there is a ¼ chance that the plant will have white flowers.

Mendel's quantitative methods reflect his understanding of this statistical feature of inheritance. Mendel's laws of segregation and independent assortment are based on the premise that:

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VI. The relationship between genotype and phenotype is rarely simple

As Mendel described it, characters are determined by one gene with two alleles; one allele completely dominant over the other. There are other patterns of inheritance not described by Mendel, but his laws of segregation and independent assortment can be extended to these more complex cases.

  1. Incomplete Dominance
  2. In cases of incomplete dominance, one allele is not completely dominant over the other, so the heterozygote has a phenotype that is intermediate between the phenotypes of the two homozygotes.

    Incomplete dominance = Pattern of inheritance in which the dominant phenotype is not fully expressed in the heterozygote, resulting in a phenotype intermediate between the homozygous dominant and homozygous recessive.

  3. What Is a Dominant Allele?
  4. Dominance/recessiveness relationships among alleles vary in a continuum from complete dominance on one end of the spectrum to codominance on the other, with various degrees of incomplete dominance in between these extremes.

    Complete dominance = Inheritance characterized by an allele that is fully expressed in the phenotype of a heterozygote and that masks the phenotypic expression of the recessive allele; state in which the phenotypes of the heterozygote and dominant homozygote are indistinguishable.

    Codominance = Inheritance characterized by full expression of both alleles in the heterozygote.

    Apparent dominance/recessiveness relationships among alleles reflect the level at which the phenotype is studied. For example:

    Dominance/recessiveness relationships among alleles:

  5. Multiple Alleles
  6. Some genes may have multiple alleles; that is, more than just two alternative forms of a gene. The inheritance of the ABO blood group is an example of a locus with three alleles.

    Paired combinations of three alleles produce four possible phenotypes:

    There are three alleles for this gene: IA, IB, and i.

    Since there are three alleles, there are six possible genotypes:

    Blood
    Type
    Possible
    Genotypes
    Antigens on the
    red blood cell
    Antibodies in
    the serum

    IAA

    A IAi A anti-B

    IBB

    B IBi B anti-A
    AB IAIB A, B ----
    O ii ---- anti-A, anti-B

    Foreign antigens usually cause the immune system to respond by producing antibodies, globular proteins that bind to the foreign molecules causing a reaction that destroys or inactivates it. In the ABO blood system:

  7. Pleiotropy
  8. Pleiotropy = The ability of a single gene to have multiple phenotypic effects.

  9. Epistasis
  10. Different genes can interact to control the phenotypic expression of a single trait. In some cases, a gene at one locus alters the phenotypic expression of a second gene, a condition known as epistasis.

    Epistasis = (Epi=upon; stasis=standing) Interaction between two non-allelic genes in which one modifies the phenotypic expression of the other.

  11. Polygenic Inheritance
  12. Mendel's characters could be classified on an either-or basis, such as purple versus white flower. Many characters, however, are quantitative characters that vary in a continuum within a population.

    Quantitative characters = Characters that vary by degree in a continuous distribution rather than by discrete (either-or) qualitative differences.

    Polygenic inheritance = Mode of inheritance in which the additive effect of two or more genes determines a single phenotypic character.

    For example, skin pigmentation in humans appears to be controlled by at least three separately inherited genes. The following is a simplified model for the polygenic inheritance of skin color:

  13. Nature Versus Nurture: The Environmental Impact on Phenotype
  14. Environmental conditions can influence the phenotypic expression of a gene, so that a single genotype may produce a range of phenotypes. This environmentally-induced phenotypic range is the norm of reaction for the genotype.

    Norm of reaction = Range of phenotypic variability produced by a single genotype under various environmental conditions. Norms of reaction for a genotype:

    The expression of most polygenic traits, such as skin color, is multifactorial; that is, it depends upon many factors - a variety of possible genotypes, as well as a variety of environmental influences.

  15. Integrating a Mendelian View of Heredity and Variation
  16. These patterns of inheritance that are departures from Mendel's original description, can be integrated into a comprehensive theory of Mendelian genetics.

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VII. Many human disorders follow Mendelian patterns of inheritance

  1. Recessively Inherited Disorders
  2. Recessive alleles that cause human disorders are usually defective versions of normal alleles.

    Recessively inherited disorders range in severity from nonlethal traits (e.g. albinism) to lethal diseases (e.g. cystic fibrosis). Since these disorders are caused by recessive alleles:

    Most people with recessive disorders are bom to normal parents, both of whom are carriers.

    Human genetic disorders are not usually evenly distributed among all racial and cultural groups due to the different genetic histories of the world's people. Three examples of such recessively inherited disorders are cystic fibrosis, Tay-Sachs disease and sickle-cell disease.

    Cystic fibrosis, the most common lethal genetic disease in the United States, strikes 1 in every 2,500 Caucasians (it is much rarer in other races).

    Tay-Sachs disease occurs in 1 out of 3,600 births. The incidence is about 100 times higher among Ashkenazic (central European) Jews than among Sephardic (Mediterranean) Jews and non-Jews.

    Sickle-cell disease is the most common inherited disease among African-Americans. It affects 1 in 400 African-Americans born in the United States.

    About 1 in 10 African-Americans are heterozygous for the sickle-cell allele and are said to have the sickle-cell trait.

    The probability of inheriting the same rare harmful allele from both parents, is greater if the parents are closely related.

    Consanguinity = A genetic relationship that results from shared ancestry.

  3. Dominantly Inherited Disorders
  4. Some human disorders are dominantly inherited.

    Lethal dominant alleles are much rarer than lethal recessives, because they:

    Late-acting lethal dominants can escape elimination if the disorder does not appear until an advanced age after afflicted individuals may have transmitted the lethal gene to their children. For example,

  5. Multifactorial Disorders
  6. Not all hereditary diseases are simple Mendelian disorders; that is, diseases caused by the inheritance of certain alieles at a single locus. More commonly, people are afflicted by multifactorial disorders, diseases that have both genetic and environmental influences.

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VIII. Technology is providing new tools for genetic testing and counseling

Genetic counselors in many hospitals can provide information to prospective parents concerned about a family history for a genetic disorder.

For example, a couple is planning to have a child, and both the man and woman had siblings who died from the same recessively inherited disorder. A genetic counselor could deduce the risk of their first child inheriting the disease by using the laws of probability:

If the first child is born with the disease, what is the probability that the second child will inherit the disease?

  1. Carrier Recognition
  2. Several tests are available to determine if prospective parents are carriers of genetic disorders.

  3. Fetal Testing
  4. A couple that learns they are both carriers for a genetic disease and decide to have a child can determine if the fetus has the disease. Between the fourteenth and sixteenth weeks of pregnancy, amniocentesis can be done to remove amniotic fluid for testing.

    Chorionic villus sampling (CVS) is a newer technique during which a physician suctions off a small amount of fetal tissue from the chorionic villi of the placenta.

    Other techniques such as ultrasound and fetoscopy allow physicians to examine a fetus for major abnormalities.

    Amniocentesis and fetoscopy have a 1% risk of complication such as matemal bleeding or fetal death. Thus, they are used only when risk of genetic disorder or birth defect is relatively high.

  5. Newborn Screening
  6. In most U.S. hospitals, simple tests are routinely performed at birth, to detect genetic disorders such as phenylketonuria (PKU) (this testing is manditory in Florida).

Course Pages maintained by
Dr. Graeme Lindbeck .