5.2- Mendel and the Gene idea

blending hypothesis

  • idea that genetic material from the two parents blends together

  • Ex. blue + yellow = green

particulate hypothesis

  • idea that parents pass on discrete heritable units (genes)

  • mendel documented a particulate mechanism through his experiments with garden peas

Blending vs particulate = blend vs discrete

Mendel

  • discovered the basic principles of heredity by breeding garden peas in carefully planned experiments

advantages of pea plants for genetic study

  • many varieties with distinct heritable features, or characters (flower color); character variants (purple/ white flower) are called traits

  • mating of plants can be controlled

  • each pea plant has sperm-producing organs (stamens) and egg-producing organs (carpels)

  • cross-pollination (fertilization between different plants) can be achieved by dusting one plant with pollen from another

  • mendel chose to track only those characters that varied in an either-or manner

  • he also used varieties that were true-breeding

    • plants that produce offspring of the same variety when they self-pollinate

in a typical experiment, mendel mated two contrasting, true-breeding varieties, a process called hybridization

  • true-breeding parents = P generation

  • hybrid offspring of P generation = F1 generation

  • when F1 individuals self-pollinate, the F2 generation is produced

The law of segregation

  • when mendel crossed contrasting, true-breeding white and purple flowered pea plants, all of the F1 hybrids were purple

  • when mendel crossed the F1 hybrids, many of the F2 plants had purple flowers, but some had white

  • discovered a ratio of about three to one, purple to white flowers, in the F2 generation

PP (purple) x pp (white)

all Pp (purple phenotype)

Pp (purple) x Pp (purple)

75% purple , 25% white

why?

  • mendel reasoned that only the purple flower factor was affecting flower color in the F1 hybrids

  • mendel called the purple flower color a dominant trait and the white flower color a recessive trait

  • mendel observed the same pattern of inheritance in six other pea plant characters, each represented by two traits

  • what mendel called a “heritable factor” is what we now call a gene

mendel’s model

  • mendel developed a hypothesis to explain the 3:1 inheritance pattern he observed in F2 offspring

  • four related concepts make up this model

  • these concepts can be related to what we now know about genes and chromosomes

→ Mendel’s law

First concept

  • alternative versions of genes account for variations in inherited characters

  • Ex. gene for flower color in pea plants exists in two versions

    • one for white, one for purple

  • these alternative versions of a gene are now called alleles

  • each gene resides at a specific locus on a specific chromosome

second concept

  • for each character an organism inherits two alleles, one from each parent

  • mendel made this deduction without knowing about the role of chromosomes

  • two alleles at a locus on a chromosome may be identical, as in the true-breeding plants of P generation

  • two alleles at a locus may differ, as in F1 hybrids

third concept

  • if the two alleles at a locus differ

    • one (the dominant allele) determines the organism’s appearance

    • the other (the recessive allele) has no noticeable effect on appearance

  • in the flower-color example

    • F1 plants had purple flowers because the allele for that trait is dominant

fourth concept

  • law of segregation    

  • states that the two alleles for a heritable character separate (segregate) during gamete formation and end up in different gametes

  • an egg/ sperm gets only one of the two alleles that are present in the somatic cells of an organism

  • this segregation of alleles corresponds to the distribution of homologous chromosomes to different gametes in meiosis

  • mendel’s segregation model accounts for the 3:1 ratio he observed in the F2 generation of his numerous crosses

  • the possible combinations of sperm and egg can be shown using a Punnett square

    • a diagram for predicting the results of a genetic cross between individuals of known genetic makeup

  • Capital letter = dominant trait

  • Lowercase letter = recessive trait

From P generation

Useful genetic vocabulary

homozygous

  • an organism with two identical alleles for a character

heterozygous

  • an organism that has two different alleles for a gene

* Heterozygotes are NOT true-breeding

  • because of different effects of dominant and recessive alleles

    • an organism’s traits do not always reveal its genetic composition

  • therefore, we distinguish between an organism’s phenotype, or physical appearance, and its genotype, or genetic makeup

  • in the example of flower color in pea plants

    • PP and Pp plants have the same phenotype (purple) but different genotypes

    • phenotype = 3:1 (3 purple: 1 white)

    • genotype = 1:2:1 (1 PP 2 Pp 1 pp)

How can we tell the genotype of an individual with the dominant phenotype? PP or Pp?

  • such an individual must have one dominant allele

    • but the individual could be either homozygous dominant or heterozygous

  • the answer is to carry out a testcross

    • breeding the mystery individual with a homozygous recessive individual

    • if any offspring display the recessive phenotype

      • mystery individual = heterozygous

The law of Independent Assortment

  • mendel derived the law of segregation by following a single character

  • the F1 offspring produced in this cross were monohybrids

    • individuals that are heterozygous for one character

  • a cross between such heterozygotes = monohybrid cross

  • Mendel identified his second law of inheritance by following two characters at the same time

  • crossing two true-breeding parents differing in two characters produce dihybrids in the F1 generation, heterozygous for both characters

  • a dihybrid cross, a cross between F1 dihybrids, can determine whether two characters are transmitted to offspring as a package or independently

  • using a dihybrid cross

    • mendel developed the law of independent assortment

  • the law of independent assortment states that each pair of alleles segregates independently of each other pair of alleles during gamete formation

  • law applies only to genes on different, nonhomologous chromosomes

  • genes located near each other on the same chromosome tend to be inherited together

Difference between law of segregation vs law of independent assortment?

law of segregation

  • two alleles for a trait separate during gamete formation (meiosis), so each gamete carries only one allele.

  • one trait at a time (monohybrid)

  • during anaphase I of meiosis

  • Focus: Monohybrid cross (3:1 ratio).

law of independent assortment

  • genes for different traits separate independently of one another during gamete formation

  • Alleles of different genes separate independently during meiosis

  • The segregation of alleles for one gene is independent of the segregation of alleles for another gene (e.g. AaBb produces AB, Ab, aB, ab)

  • Focus: Dihybrid cross (9:3:3:1ratio)

  • Only applies to genes on different chromosomes or far apart on the same chromosome; linked genes do not follow this rule.

9:3:3:1 ratio for phenotype

9 dominant A+ dominant B

3 dominant A + recessive b

3 recessive a + dominant B

1 recessive a + recessive b

If genes are linked:

Look for:

parental combinations MUCH more common
recombinant types rare

Two big groups + two tiny groups = LINKED

concept 2: the laws of probability govern Mendelian inheritance

  • mendel’s law of segregation and independent assortment reflect the rules of probability

  • when tossing a coin, the outcome of one toss has no impact on the outcome of the next toss

  • in the same way, the alleles of one gene segregate into gametes independently of another gene’s alleles

the multiplication rule

  • the “and” rule

  • the probability that two or more independent events will occur together is the product of their individual probabilities

  • segregation in a heterozygous plant is like flipping a coin

    • each gamete has a 50% chance of carrying the dominant allele and a 50% chance of carrying the recessive allele

  • ex. what is the probability of both coins showing heads?

    • Both = “AND” multiplication

    • ½ x ½ = ¼

    • this probability is the same for all genotypes in the Punnett square

the addition rule

  • “or” rule

  • the probability that any one of two or more exclusive events will occur is calculated by adding together their individual probabilities

  • ex. what is the probability that the offspring from a monohybrid cross will be heterozygous rather than homozygous

  • Rather than = “OR” addition

  • ¼ + ¼ = ½ = 50%

solving complex genetics problems with the Rules of Probability

  • we can apply the multiplication and addition rules to predict the outcome of crosses involving multiple characters

  • in calculating the chances for various genotypes

    • each character is considered separately

    • and then the individual probabilities are multiplied together

  • ex. YyRr x YyRr, what is the probability of getting YYRR?

    • we can separate the two into their own punnett squares

    • Yy x Yy, Rr x Rr

    • = ¼ x ¼ = 1/16

concept 3: inheritance patterns are often more complex than predicted by simple Mendelian genetics

  • the relationship between genotype and phenotype is rarely as simplel as in the pea plant characters mendel studied

  • many heritable characters are not determined by only one gene with two alleles

  • however, the basic principles of segregation and independent assortment apply even to more complex patterns of inheritance

extending mendelian genetics for a single gene

  • inheritance of characters by a single gene may deviate from simple Mendelian patterns in the following situations

    • when alleles are not completely dominant or recessive

    • when a gene has more than two alleles

    • when a gene produces multiple phenotypes

degrees of dominance

  • complete dominance

    • occurs when phenotypes of the heterozygote and dominant homozygote are identical

  • incomplete dominance

    • phenotype of F1 hybrids is somewhere between the phenotypes of the two parental varieties

  • codominance

    • two dominant alleles affect the phenotype in separate, distinguishable ways

incomplete dominance

  • blend of traits (red + white → pink)

complete dominance

  • show both traits simultaneously (white + red → roan)

the relation between dominance and phenotype

  • a dominant allele does not subdue a recessive allele

    • alleles dont interact

  • alleles are simply variations in a gene’s nucleotide sequence

  • for any character, dominance/ recessiveness relationships of alleles depend on the level at which we examine the phenotype

Tay-Sachs disease

  • fatal, a dysfunctional enzyme causes an accumulation of lipids in the brain

    • at the organismal level, the allele is recessive

    • at the biochemical level, the phenotype (i.e., the enzyme activity level) is incompletely dominant

    • at the molecular level, the alleles are codominant

frequency of dominant alleles

  • dominant alleles are not necessarily more common in populations than recessive

multiple alleles

  • most genes exist in populations in more than two allelic forms

  • ex. four phenotypes of ABO blood group in humans are determined by three alleles for the enzyme (I) that attaches A or B carbohydrates to red blood cells IA, IB, and i

  • the enzyme encoded by the IA allele adds the A carbohydrate, IB adds B, i adds neither

pleiotropy (one gene can influence multiple phenotypic traits)

  • most genes have multiple phenotypic effects, a property called pleiotropy

  • ex. pleiotropic alleles are responsible for the multiple symptoms of certain hereditary diseases

    • such as cystic fibrosis and sickle-cell disease

epistasis

  • a gene at one locus alters the phenotypic expression of a gene at a second locus

  • ex. in mice and many mammals, coat color depends on two genes    

    • one gene determines the pigment color (with alleles B for black and b for brown)

    • the other gene (with alleles C for color and c for no color) determines whether the pigment will be deposited in the hair

9:3:4 ratio → Recessive epistasis

  • Occurs when homozygous recessive of one gene masks the effect of another gene.

  • the ee genotype is epistatic (masks other gene).

2:3:1 ratio → Dominant epistasis

  • Occurs when a dominant allele of one gene masks the effect of another gene.

  • : A_ is dominant epistatic, masks B/b. (A_B_)

9:7 ratio → Complementary gene interaction

  • Occurs when two genes work together to produce a phenotype.

  • both dominant alleles are needed for the trait.

polygenic inheritance

  • quantitative characters are those that vary in the population along a continuum

  • quantitative variation usually indicates polygenic inheritance

    • an additive effect of two or more genes on a single phenotype

  • skin color in humans is an example of polygenic inheritance (multiple genes code for skin color)

  • Additive Effect: Each gene variant (allele) contributes a small, often equal amount to the phenotype, and these effects accumulate

the environmental impact on phenotype

  • the norm of reaction is the phenotypic range of a genotype influenced by the environment

    • The range of possible phenotypes that a genotype can produce under different environmental conditions is called the norm of reaction.

  • ex. hydrangea flowers of the same genotype range from blue-violet to pink, depending on soil acidity

integrating a Mendelian view of heredity and variation

  • an organism’s phenotype includes its physical appearance, internal anatomy, physiology, and behavior

  • an organism’s phenotype reflects its overall genotype and unique environmental history

concept 4: many human traits follow Mendelian patterns of inheritance

humans are not good subjects for genetic research

  • generation time = too long

  • parents produce relatively few offspring

  • breeding experiments are unacceptable

however, basic Mendelian genetics endures as the foundation of human genetics

pedigree analysis

  • pedigree = a family tree that describes the interrelationships of parents and children across generations

  • inheritance patterns of particular traits can be traced and described using pedigrees

  • recessively inherited disorders show up only in individuals homozygous for the allele

  • carriers are heterozygous individuals who carry the recessive allele but are phenotypically normal (i.e. pigmented)

  • albinism is a recessive condition characterized by a lack of pigmentation in skin and hair

  • if a recessive allele that causes a disease is rare, then the chance of two carriers meeting and mating is low

  • consanguineous mating (matings between close relatives) increase the chance of mating between two carriers of the same rare allele

  • most societies and cultures have laws of taboos against marriages between close relatives

dominantly inherited disorders

  • some human disorders are caused by dominant alleles

  • dominant alleles that cause a lethal disease are rare and arise by mutation

  • Achondroplasia = a form of dwarfism caused by a rare dominant allele

How to identify pedigrees

#1 Recessive

  • unshaded parents have a shaded child

  • Logic: if neither parents shows the trait, but they pass it on, the trait must be hidden. only recessive traits can hide

  • Conclusion: the trait is recessive. both parents are heterozygous (carriers)

#2 Dominant

  • look for two parents who are shaded but have an unshaded child

  • logic: if both parents show the trait, but the child is normal, the normal gene is hidden. if the trait were recessive, two affected parents could only have affected children

  • conclusion: the trait is dominant. both parents are heterozygous

#3 X-linked

  • affects significantly more males than females

  • logic: males (XY) only have one X chromosome. if they inherit one bad gene, they have the trait. females need two (XX)

  • evidence: an affected mother must have all affected sons. if an unaffected father has an affected daughter, the trait cannot be X-linked recessive

#4 Y-linked clue

  • only appears in males and never skips a male in a lineage

  • logic: only makes have a Y chromosome, they pass it directly to their sons

  • conclusion: if ONLY males have the trait, and every affected father has 100% affected sons (and no affected daughter), it is Y-linked

  1. autosomal dominant

  • appears in every generation, does not skip

  • males and females affected equally

  • if one parent heterozygous→ about 50% children affected

  • affected person usually has an affected parent

  1. autosomal recessive

  • can skip generations

  • unaffected parents have affected child

  • males and females equally affected

  • may appear more with consanguinity

  1. X-linked recessive

  • more affected males than females

  • NO father to son transmission

  • affected father → daughters are carriers

  • can skip generation through female carriers

  • affected sons often have carrier mothers

  1. X linked dominant

  • appears every generation

  • affected father = all daughters affected

  • affected father → no sons affected

  • females more than males

keys

  1. check male vs female patterns

  • mostly males affected → x linked recessive

    • no father to son transmission

  • both sexes equally affected → likely autosomal

  1. does it skip generation

  • yes → recessive

  • no → dominant

  1. look at parents → child patterns

  • dominant

    • affected child = unaffected parent

  • recessive

    • unaffected parents = affected child

  • x linked recessive

    • mostly males

    • affected father → ALL daughters carriers

    • affected father → no affected sons

    • affected mother → ALL sons affected

  • x linked dominant

    • affected father → all daughters affected

    • affected father → no sons affected

huntington’s disease

  • a degenerative disease of the nervous system

  • has no obvious phenotypic effects until the individual is about 35-40 years of age

fetal testing

  • in amniocentesis (羊膜穿刺術), the liquid that bathes the fetus is removed and tested

  • in chorionic villus sampling (CVS), a sample of the placenta is removed and tested

  • other techniques, such as ultrasound and fetoscopy, allow fetal health to be assessed visually in utero