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BU-101 / L23 · lecture

Meiosis and the Halving of Chromosome Number

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BEFORE YOU START

You should understand the basic phases of mitosis and the structure of a chromosome, including the concept of sister chromatids and centromeres.

Why this matters

Meiosis is the essential mechanism that maintains a stable chromosome number across generations in sexually reproducing organisms.

Without a specific process to halve the chromosome number, the diploid number would double with every fertilisation, leading to an unsustainable increase in genomic complexity. Meiosis achieves this reduction through two consecutive divisions, meiosis I and meiosis II, which also introduce genetic variation via independent assortment and crossing over. This lecture focuses on the mechanical and genetic logic of how a diploid cell produces four haploid gametes.

The Logic of Reduction

In mitosis, a cell divides to produce two identical daughter cells, each with the same chromosome number as the parent. This is suitable for growth and repair. However, sexual reproduction involves the fusion of two gametes. If gametes were diploid, the zygote would be tetraploid. To prevent this, meiosis must reduce the chromosome number by half. The key distinction is that in meiosis I, homologous chromosomes (one from each parent) separate, while in meiosis II, sister chromatids separate. This ensures that each gamete receives exactly one copy of each chromosome, restoring the diploid state upon fertilisation.

Meiosis I: Separation of Homologues

Meiosis I is the reductional division. It begins with a single round of DNA replication during interphase, resulting in chromosomes composed of two sister chromatids. During prophase I, homologous chromosomes pair up in a process called synapsis, forming tetrads. This pairing allows for crossing over, where non-sister chromatids exchange genetic material, creating new combinations of alleles. The critical event occurs in anaphase I, where the homologous pairs are pulled to opposite poles. Unlike mitosis, the centromeres do not split; the sister chromatids remain attached. This ensures that each daughter cell receives one complete set of chromosomes, but each chromosome still consists of two chromatids.

\[ \text{Diploid } (2n) \xrightarrow{\text{Meiosis I}} \text{Haploid } (n) \text{ cells with duplicated chromosomes} \]

Meiosis II: Separation of Sister Chromatids

Meiosis II is the equational division, resembling mitosis in its mechanics but occurring in haploid cells. There is no DNA replication between meiosis I and meiosis II. In prophase II, the chromosomes condense again. During metaphase II, they align at the metaphase plate. In anaphase II, the centromeres finally split, and the sister chromatids are pulled apart to opposite poles. This results in four genetically distinct haploid daughter cells, each containing a single chromatid per chromosome. The process ensures that the genetic material is distributed evenly, maintaining the integrity of the genome in the gametes.

\[ \text{Haploid } (n) \text{ cells} \xrightarrow{\text{Meiosis II}} 4 \times \text{Haploid } (n) \text{ gametes} \]

Genetic Variation and Chromosome Number

The halving of chromosome number is not the only function of meiosis; it is also a primary source of genetic diversity. Independent assortment occurs during metaphase I, where homologous pairs align randomly relative to other pairs. For an organism with \( n \) pairs of chromosomes, there are \( 2^n \) possible combinations of maternal and paternal chromosomes in a gamete. Additionally, crossing over during prophase I shuffles alleles between homologous chromosomes. Together these mechanisms make it vanishingly unlikely that two gametes are genetically identical, providing the raw material for evolution and adaptation.

\[ \text{Variation} = \text{Independent Assortment} + \text{Crossing Over} \]

The concept

◆ CONCEPT · T-005 · full treatment on its own page

The cell cycle and mitosis

How a cell duplicates and divides its contents faithfully.

\[ \text{Prophase} \to \text{Prometaphase} \to \text{Metaphase} \to \text{Anaphase} \to \text{Telophase} + \text{Cytokinesis} \]
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Tier 3 ยท watch out

A common misconception is that the chromosome number changes during anaphase I. In reality, the cell remains diploid until cytokinesis is complete. The reduction to haploid is only achieved when the cell divides into two separate entities. Confusing the separation of homologues with the splitting of centromeres is a frequent error in understanding the mechanics of meiosis I versus meiosis II. C

Worked example

Problem. A hypothetical organism has a diploid chromosome number of \( 2n = 10 \). Calculate the number of chromosomes and chromatids present in a cell at the following stages: (a) Prophase I, (b) Metaphase II, (c) Telophase II (in one daughter cell).

  1. Identify the initial state: \( 2n = 10 \) means there are 10 chromosomes in a diploid cell. Before meiosis begins, DNA replication occurs, so each chromosome consists of 2 chromatids. Total chromatids = \( 10 \times 2 = 20 \).
  2. (a) Prophase I: The cell is still diploid (\( 2n \)). Chromosomes are paired but not separated. Number of chromosomes = 10. Number of chromatids = 20.
  3. (b) Metaphase II: Meiosis I has occurred, so the cell is now haploid (\( n \)). \( n = 5 \). The chromosomes are still duplicated (2 chromatids each). Number of chromosomes = 5. Number of chromatids = \( 5 \times 2 = 10 \).
  4. (c) Telophase II: Meiosis II has occurred, separating sister chromatids. The cell is haploid (\( n \)). Each chromosome is now a single chromatid. Number of chromosomes = 5. Number of chromatids = 5.
\[ \text{Prophase I: } 10 \text{ chr}, 20 \text{ chrm} \quad \text{Metaphase II: } 5 \text{ chr}, 10 \text{ chrm} \quad \text{Telophase II: } 5 \text{ chr}, 5 \text{ chrm} \]

Units check. Chromosomes and chromatids are counted as discrete entities, so the units are consistent with the integer counts of genetic structures.

CHECK YOURSELF

Three quick tests

  1. What is the primary difference between anaphase I and anaphase II?
    AnswerIn anaphase I, homologous chromosomes separate; in anaphase II, sister chromatids separate.
  2. If a cell has \( 2n = 4 \), how many chromosomes are in a gamete?
    Answer2 chromosomes.
  3. During which phase does crossing over occur?
    AnswerProphase I.
UNIT

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NOTES

Lecture notes drafted with a local model and checked line by line by the editor; every number in the worked example was recomputed.

Concepts cited: T-005 · Threads: structure, systems