Biology · Heredity, Variation & Evolution
Cell division, reproduction and continuity of life
A cell must distribute DNA when it divides. A sexually reproducing lineage must also avoid doubling its chromosome sets with every fertilisation. Those two accounting tasks are connected, but mitosis and meiosis distribute chromosomes differently.
The earlier lessons on biological scales and cells provide useful background: recognise a cell, its DNA and the difference between an individual and a population. The DNA and nucleotide explanation in Chemistry of Life is optional support. You need fractions such as one half and one quarter; the worked cases explain the calculations before using them. Detailed molecular copying, Mendelian inheritance and evolutionary inference return in later chapters.
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Follow copying, chromosome segregation and fertilisation, and distinguish a probability model of transmission from guaranteed offspring counts.
Copy DNA before distributing it
In the ordinary eukaryotic cell cycle used here, DNA replication occurs before mitosis. Each replicated chromosome has two sister chromatids. Mitosis separates those copies into daughter nuclei; division of the cell's contents, cytokinesis, commonly follows or overlaps with it.
The model begins with two chromosome pairs: four chromosomes and four nuclear DNA molecules. After copying, there are still four replicated chromosomes but eight DNA molecules. After mitosis and completed cell division, each daughter cell has four chromosomes and four DNA molecules.
Chromosome counting and DNA-molecule counting therefore need stated stages. An X-like drawing of a replicated chromosome shows two associated chromatids; it is not evidence that every chromosome is always X-shaped. Copying and segregation are normally accurate, but errors can occur.
Count chromosome sets and DNA copies separately
Read the diagram in words
Before copying: one cell, four chromosomes and four DNA molecules. After copying: four chromosomes and eight DNA molecules. Mitosis gives two cells with four of each. First meiosis gives two cells with two chromosomes and four DNA molecules each; second meiosis gives four cells with two of each.
| Completed stage | Number of cells | Chromosomes per cell | DNA molecules per cell | Chromosome sets per cell | Chromatids per chromosome | Chromosomes per set |
|---|---|---|---|---|---|---|
| Before copying | 1 | 4 | 4 | 2 | 1 | 2 |
| After copying | 1 | 4 | 8 | 2 | 2 | 2 |
| After mitosis and cell division | 2 | 4 | 4 | 2 | 1 | 2 |
| After first meiotic division | 2 | 2 | 4 | 1 | 2 | 2 |
| After second meiotic division | 4 | 2 | 2 | 1 | 1 | 2 |
| From | To |
|---|---|
| Before copying | After copying |
| After copying | After mitosis and cell division |
| After copying | After first meiotic division |
| After first meiotic division | After second meiotic division |
- Single chromatid
- 1
- Two associated sister chromatids
- 2
Reduce a set, then combine sets
Meiosis includes one preceding round of DNA copying and two successive divisions. In the standard model, homologous chromosomes separate in the first division; sister chromatids separate in the second. The products have one chromosome set rather than the original two.
Our four-chromosome model gives two cells after the first meiotic division, each with two replicated chromosomes and four DNA molecules. After the second division it gives four haploid cells, each with two chromosomes and two DNA molecules. This inventory does not imply that all four products become equivalent mature gametes in every life cycle.
In many animals, meiosis contributes to forming eggs or sperm, and fertilisation combines two haploid sets into a diploid set. Plants and other organisms organise these steps differently; meiosis can produce spores rather than directly produce gametes. Mitosis can also occur in haploid cells. The deeper life-cycle chapter develops these variations.
Cell division can reproduce a single-celled organism or add cells to a multicellular one. Growth by cell division does not make each new body cell a new organism. Asexual reproduction maintains lineage continuity without a union of gametes, and bacteria divide without eukaryotic mitosis.
A grid lists possible allele unions
For a one-locus diploid cross, give each parent genotype Aa. Assume each produces A and a gametes with equal probability and that the two gamete contributions combine independently. Each offspring then has four equally likely allele-union paths: A with A, A with a, a with A, or a with a.
The two middle paths both give genotype Aa. Thus the genotype probabilities are one quarter AA, one half Aa and one quarter aa. These are probabilities for the stated model, not an instruction that every four offspring must contain one of each homozygote and two heterozygotes.
No phenotype is assigned in this grid. Converting it to a trait ratio would need a dominance relationship and other genotype-to-phenotype conditions. Altered segregation, mutation or genotype-dependent survival could also change the counts at a later stage.
Two paths produce the same heterozygous genotype
Read the diagram in words
One A–A union gives AA, two opposite A–a unions give Aa, and one a–a union gives aa. The genotype probabilities are one quarter, one half and one quarter.
| Parent 2 gamete | Parent 1 gamete: A | Parent 1 gamete: a |
|---|---|---|
| Parent 2 gamete: A | AA: 0.25 | Aa: 0.25 |
| Parent 2 gamete: a | Aa: 0.25 | aa: 0.25 |
| Genotype | Probability |
|---|---|
| AA | 0.25 |
| Aa | 0.5 |
| aa | 0.25 |
Worked example
Count the two paths to a heterozygote
Parent 1 contributes A with probability 1/2 and Parent 2 a with probability 1/2, giving probability 1/4 for that path. The opposite path, a from Parent 1 and A from Parent 2, also has probability 1/4. Add them: 1/4 + 1/4 = 1/2 for Aa. Eight offspring would have an expected four Aa under repeated independent applications of the model, but a particular group of eight can differ.
Check your understanding
In the stated model, does DNA copying change four chromosomes into eight chromosomes before division?
Show reasoning
No. Before the sister chromatids separate, four replicated chromosomes contain eight DNA molecules. Chromosome and DNA-molecule counts refer to different units.
Why does fertilisation not double the chromosome-set number generation after generation in this diploid sexual model?
Show reasoning
Meiosis reduces two sets to one in the relevant reproductive pathway, and fertilisation combines two one-set contributions to restore two sets.
Does the Aa × Aa grid guarantee exactly one aa among four offspring?
Show reasoning
No. It assigns probability 1/4 to aa for each offspring under the model. A small realised group need not match the expected ratio.
What to carry forward
State what is copied, what is separated and which stage is being counted.
References
Resources supporting this lesson’s explanations and examples.
Mary Ann Clark, Matthew Douglas and Jung Choi · OpenStax4 sources
- Biology 2e — The Cell Cycle (2018)Mary Ann Clark, Matthew Douglas and Jung Choi · OpenStaxTextbook chapter
- Biology 2e — The Process of Meiosis (2018)Mary Ann Clark, Matthew Douglas and Jung Choi · OpenStaxTextbook chapter
- Biology 2e — Characteristics and Traits (2018)Mary Ann Clark, Matthew Douglas and Jung Choi · OpenStaxTextbook chapter
- Biology 2e — Prokaryotic Cell Division (2018)Mary Ann Clark, Matthew Douglas and Jung Choi · OpenStaxTextbook chapter
- Talking Glossary — Genes, alleles and inheritance terminologyNational Human Genome Research InstituteScientific glossaryTalking Glossary — Genes, alleles and inheritance terminologyAlleleChromosomeGenotypePhenotypePolygenic traitMutationGenomeLocusMitochondrial DNA