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Mendel and the Gene Idea: Principles of Inheritance

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Chapter 11: Mendel and the Gene Idea

Introduction to Mendelian Genetics

Gregor Mendel's experiments with pea plants established the foundational principles of inheritance, demonstrating how traits are transmitted from parents to offspring. His work revealed the existence of discrete heritable factors, now known as genes, and introduced key concepts such as alleles, dominance, and segregation.

Advantages of Pea Plants for Genetic Study

  • Variety: Pea plants possess many distinct heritable features (characters), each with variations called traits.

  • Controlled Mating: Mating can be manipulated, allowing for cross-pollination between different plants.

  • Reproductive Organs: Each plant contains both sperm-producing (stamens) and egg-producing (carpels) organs.

  • Cross-Pollination: Fertilization between different plants is achieved by transferring pollen manually.

Mendel's cross-pollination technique and results

Mendel's Experiments and Heritable Factors

Mendel crossed true-breeding purple and white flowered pea plants. All F1 hybrids were purple, but the F2 generation showed a 3:1 ratio of purple to white flowers, indicating the segregation of heritable factors.

P Generation cross: purple x white flowersF1 Generation: all purple flowersF2 Generation: 3 purple to 1 white ratio

Mendel's Seven Characters in Pea Plants

Mendel studied seven distinct characters, each with two contrasting traits. The results of his F1 crosses for these characters consistently showed dominant and recessive relationships.

Character

Dominant Trait

Recessive Trait

F2 Generation Ratio

Pod color

Green

Yellow

2.82:1

Flower position

Axial

Terminal

3.14:1

Stem length

Tall

Dwarf

2.84:1

Table of Mendel's F1 crosses for seven characters

Character

Dominant Trait

Recessive Trait

F2 Generation Ratio

Flower color

Purple

White

3.15:1

Seed color

Yellow

Green

3.01:1

Seed shape

Round

Wrinkled

2.96:1

Pod shape

Inflated

Constricted

2.95:1

Table of Mendel's F1 crosses for additional characters

Alleles and Genetic Basis of Traits

Alleles are alternative versions of a gene. For example, the allele for purple flowers produces sufficient pigment, while the allele for white flowers does not. The genetic basis of traits is determined by the DNA sequence at a specific locus on homologous chromosomes.

Alleles and DNA sequence for flower color

Law of Segregation

Mendel's Law of Segregation states that two alleles for a heritable character separate during gamete formation and end up in different gametes. Offspring inherit one allele from each parent. The process can be visualized using a Punnett square.

How traits are transmitted from parents to offspringP Generation: gametes for purple and white flowersF1 Generation: gametes for purple flowersF2 Generation: Punnett square for flower colorPhenotype and genotype ratios

Genetic Vocabulary

  • Phenotype: Physical appearance of an organism.

  • Genotype: Genetic makeup of an organism.

  • Homozygous: Two identical alleles for a gene (e.g., PP or pp).

  • Heterozygous: Two different alleles for a gene (e.g., Pp).

  • Dominant allele: Expressed in the phenotype when present.

  • Recessive allele: Expressed only when both alleles are recessive.

Testcross

A testcross is used to determine the genotype of an individual with a dominant phenotype. The individual is crossed with a homozygous recessive plant. If any offspring display the recessive phenotype, the mystery parent is heterozygous.

Testcross technique and results

Law of Independent Assortment

Mendel's second law states that genes for different characters are inherited independently. Crossing two true-breeding parents differing in two characters produces dihybrids, and a dihybrid cross can reveal whether traits are transmitted together or independently.

Dihybrid cross and independent assortmentDihybrid Punnett square

Probability in Genetics

  • Multiplication Rule: Probability that two independent events occur together is the product of their individual probabilities.

  • Addition Rule: Probability that any one of two or more mutually exclusive events occurs is the sum of their individual probabilities.

Solving Complex Genetics Problems

Complex genetic crosses, such as dihybrid crosses, can be solved using the rules of probability and Punnett squares. For example, the probability of a plant with genotype yyRR after a YyRr x YyRr cross is .

Probability calculations for dihybrid cross

Beyond Simple Mendelian Genetics

Inheritance can be more complex than simple dominance and recessiveness. Some genes have multiple alleles, show incomplete dominance or codominance, or affect multiple phenotypes (pleiotropy).

Relationship

Description

Example

Complete dominance

Heterozygous phenotype same as homozygous dominant

PP, Pp

Incomplete dominance

Heterozygous phenotype intermediate between two homozygotes

CRCR, CRCW, CWCW

Codominance

Both phenotypes expressed in heterozygotes

IAIB

Multiple alleles

More than two allelic forms in population

ABO blood group

Pleiotropy

One gene affects multiple phenotypic characters

Sickle-cell disease

Table of allele relationships and examples

Complex Genetics: Two or More Genes

Some traits are influenced by interactions between multiple genes, such as epistasis and polygenic inheritance.

Relationship

Description

Example

Epistasis

Phenotypic expression of one gene affects another

BbEe x BbEe

Polygenic inheritance

Single phenotypic character affected by two or more genes

AaBbCc x AaBbCc

Table of gene interactions and examplesPleiotropy vs. polygenic inheritance diagram

Dominant vs. Recessive Alleles

Dominant alleles do not subdue recessive alleles; they are simply variations in a gene's nucleotide sequence. For example, the dominant allele for round seeds codes for an enzyme (SBEI) that converts starch to a branched form, resulting in round seeds. The recessive allele leads to wrinkled seeds due to a mutation in SBEI.

Relationship Between Dominance and Phenotype

The observed relationship between alleles depends on the level of phenotype examined. For example, Tay-Sachs disease is recessive at the organismal level, incompletely dominant at the biochemical level, and codominant at the molecular level.

Frequency of Dominant Alleles

Dominant alleles are not necessarily more common in populations. For example, the allele for extra fingers or toes is dominant, but the recessive allele for five digits is more prevalent.

Multiple Alleles: ABO Blood Groups

Most genes exist in more than two allelic forms. The ABO blood group system is determined by three alleles (IA, IB, i), resulting in six genotypes and four phenotypes.

Allele

Carbohydrate

IA

A

IB

B

i

none

Genotype

Phenotype (Blood Group)

IAIA or IAi

A

IBIB or IBi

B

IAIB

AB

ii

O

ABO blood group alleles and genotypes

Blood Transfusion Compatibility

The immune system produces antibodies that may cause clotting when blood cells of a different type enter the body. Blood group compatibility is crucial for safe transfusions.

Blood transfusion compatibility diagram

Rh Factor: Positive or Negative Blood Types

The Rh factor (Rh D antigen) is another important blood group antigen. Individuals are either Rh positive (have the antigen) or Rh negative (lack the antigen). Possible genotypes include Rh+/Rh+, Rh+/Rh-, and Rh-/Rh-.

Pedigree Analysis

Pedigrees are diagrams that show the inheritance of traits across generations. They help identify dominant and recessive traits and track genetic conditions in families.

Pedigree symbols and examplesPedigree for dominant traitPedigree for recessive trait

Autosomal Conditions

Autosomal recessive conditions appear only in individuals homozygous for the recessive allele. Carriers are heterozygous and have a typical phenotype. Inbreeding increases the probability of genetic disease by increasing the likelihood of homozygosity for harmful alleles.

Cystic Fibrosis (CF)

Cystic fibrosis is the most common lethal genetic disease in the US. The CF allele results in defective chloride transport channels, causing mucus buildup and altered nutrient absorption. Genotypes: CC (typical), Cc (carrier), cc (CF).

Sickle-Cell Disease (SCD)

Sickle-cell disease is caused by a mutation in the hemoglobin gene. Heterozygotes (Ss) have some resistance to malaria (heterozygote advantage). Genotypes: SS (typical), Ss (carrier), ss (SCD).

Autosomal Dominant Conditions

Some conditions are caused by dominant alleles, such as achondroplasia (dwarfism) and Huntington's disease. Homozygous dominant individuals often do not survive.

Multifactorial Diseases

Many diseases have both genetic and environmental components, including heart disease, cancer, diabetes, alcoholism, and mental illnesses. The genetic contribution to most multifactorial diseases is not fully understood.

Fetal Testing

Fetal testing methods include amniocentesis (testing amniotic fluid) and chorionic villus sampling (CVS, testing placental tissue). These tests can detect genetic abnormalities and provide karyotypes.

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