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Continuity and change - Cell and nuclear division

Grade 12IBBiology

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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The cell cycle is an ordered sequence of events: Interphase (comprising G1G_1, SS, and G2G_2 phases) followed by the M-phase (mitosis and cytokinesis).

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DNA replication occurs during the SS phase of interphase to ensure that each daughter cell receives a complete set of genetic information.

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Mitosis consists of four main stages: Prophase, Metaphase, Anaphase, and Telophase (PMAT), resulting in two genetically identical diploid (2n2n) daughter nuclei.

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Cytokinesis is the physical division of the cytoplasm. In animal cells, it involves a cleavage furrow; in plant cells, it involves the formation of a cell plate.

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Cyclins are a group of proteins that regulate the cell cycle by binding to cyclin-dependent kinases (CDKs), ensuring tasks are performed at the correct time.

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Meiosis involves two consecutive nuclear divisions (Meiosis I and Meiosis II) to produce four non-identical haploid (nn) daughter cells.

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Genetic variation in meiosis is promoted by crossing over during Prophase I and independent assortment of bivalents during Metaphase I.

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Non-disjunction is the failure of homologous chromosomes or sister chromatids to separate properly, leading to aneuploidy (e.g., Down Syndrome, which is Trisomy 2121).

📐Formulae

Mitotic Index=Number of cells in mitosisTotal number of cells observed\text{Mitotic Index} = \frac{\text{Number of cells in mitosis}}{\text{Total number of cells observed}}

Possible chromosome combinations=2n\text{Possible chromosome combinations} = 2^n

Magnification=Image sizeActual size\text{Magnification} = \frac{\text{Image size}}{\text{Actual size}}

💡Examples

Problem 1:

A student observes a sample of onion root tip cells under a microscope. Out of 150150 cells observed, 1212 are in prophase, 55 are in metaphase, 33 are in anaphase, and 44 are in telophase. Calculate the mitotic index for this tissue.

Solution:

Total cells in mitosis=12+5+3+4=24\text{Total cells in mitosis} = 12 + 5 + 3 + 4 = 24 Mitotic Index=24150=0.16\text{Mitotic Index} = \frac{24}{150} = 0.16

Explanation:

The mitotic index is the ratio of the number of cells undergoing mitosis to the total number of cells. It is often expressed as a decimal or a percentage (16%16\% in this case).

Problem 2:

Calculate the number of possible unique gametes that can be produced by an organism with a diploid number of 2n=82n = 8 due to independent assortment only.

Solution:

If 2n=8, then n=4\text{If } 2n = 8, \text{ then } n = 4 Combinations=2n=24=16\text{Combinations} = 2^n = 2^4 = 16

Explanation:

Independent assortment occurs during Metaphase I. The number of possible combinations of maternal and paternal chromosomes in gametes is 2n2^n, where nn is the haploid number.