in mendel's monohybrid crosses, what is homozygous?

give formula
p(f0)
f1
f2

1 answer

In Mendel's monohybrid crosses, the term "homozygous" refers to an organism that has two identical alleles for a specific gene. For example, an organism can be homozygous dominant (AA) or homozygous recessive (aa).

Monohybrid Cross Overview:

  1. Parental Generation (P): The initial parents in the cross. They can be homozygous for different alleles, such as one being AA (homozygous dominant) and the other aa (homozygous recessive).
  2. First Filial Generation (F1): The offspring from the parental generation. In a typical monohybrid cross, all F1 offspring will be heterozygous (Aa) if one parent is homozygous dominant and the other is homozygous recessive.
  3. Second Filial Generation (F2): The offspring produced by crossing two F1 individuals (Aa x Aa). In this generation, you can observe the typical phenotypic ratio of 3:1 (dominant:recessive) in the offspring.

Genetic Cross Notation:

  • P (Parent Generation): AA x aa
  • F1 Generation: All offspring will be Aa (heterozygous).
  • F2 Generation: The cross of F1 generation (Aa x Aa) produces:
    • AA (homozygous dominant)
    • Aa (heterozygous)
    • aa (homozygous recessive)

Punnett Square for F2 Generation:

        A     A
      __________
    a |  Aa  |  Aa  |
    a |  Aa  |  Aa  |

In the F2 generation:

  • 1 AA (homozygous dominant)
  • 2 Aa (heterozygous)
  • 1 aa (homozygous recessive)

Phenotypic Ratio in F2 Generation:

  • 3 dominant phenotype (AA and Aa) : 1 recessive phenotype (aa)

Summary:

  • Homozygous: Organisms with two identical alleles (AA or aa).
  • F0: Parental generation (e.g., AA x aa)
  • F1: First generation offspring (e.g., 100% Aa)
  • F2: Second generation offspring (from F1 cross, e.g., 1 AA : 2 Aa : 1 aa)

Formula:

For a typical monohybrid cross, the genotype frequencies in F2 can be summed up as:

  • P = \( p^2 + 2pq + q^2 \) Where:
  • \( p \) = frequency of dominant allele
  • \( q \) = frequency of recessive allele
  • \( p + q = 1 \)

In our case, for P = AA (p=1) and aa (q=1), frequencies in F1 and F2 can be represented in ratios or percentages.