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Cell Biology - Cell division

Grade 12IBBiology

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

🔑Concepts

The Cell Cycle: A continuous sequence of events divided into interphase (G1G_1, SS, and G2G_2) and the MM phase (mitosis and cytokinesis).

Interphase: The most active phase where the cell carries out normal functions. G1G_1 (growth), SS (DNA replication resulting in sister chromatids), and G2G_2 (preparation for mitosis).

Mitosis: The division of the nucleus into two genetically identical daughter nuclei, involving four stages: Prophase, Metaphase, Anaphase, and Telophase.

Prophase: Chromosomes undergo supercoiling to become visible; the nuclear envelope breaks down and spindle fibers begin to form from microtubule organizing centers (MTOCsMTOCs).

Metaphase: Spindle fibers attach to the centromeres of each chromosome; chromosomes align along the equator (metaphase plate) of the cell.

Anaphase: Centromeres divide and spindle fibers contract, pulling sister chromatids toward opposite poles; once separated, they are considered individual chromosomes.

Telophase: Chromosomes reach the poles and uncoil; nuclear membranes reform around each set of chromosomes, and the spindle apparatus disappears.

Cytokinesis: The division of the cytoplasm. In animal cells, a cleavage furrow forms via a contractile ring of actin and myosin. In plant cells, vesicles fuse to form a cell plate, eventually becoming a new cell wall.

Cyclins: A group of proteins that regulate the cell cycle by binding to cyclin-dependent kinases (CDKsCDKs), which then phosphorylate target proteins to trigger specific cell cycle stages.

Oncogenesis: The process by which normal cells turn into cancer cells due to mutations in proto-oncogenes. These mutations can be triggered by mutagens such as UVUV radiation or certain chemicals.

📐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}}

Magnification=Size of imageActual size of specimen\text{Magnification} = \frac{\text{Size of image}}{\text{Actual size of specimen}}

💡Examples

Problem 1:

In a sample of 250250 onion root tip cells, 3535 cells were found to be in prophase, 1212 in metaphase, 88 in anaphase, and 55 in telophase. Calculate the Mitotic Index (MIMI) for this tissue.

Solution:

MI=35+12+8+5250=60250=0.24MI = \frac{35 + 12 + 8 + 5}{250} = \frac{60}{250} = 0.24

Explanation:

The Mitotic Index is calculated by dividing the sum of all cells in any stage of mitosis (P+M+A+TP+M+A+T) by the total number of cells observed. The result 0.240.24 indicates that 24%24\% of the cells are currently dividing.

Problem 2:

If a diploid cell (2n2n) contains 4646 chromosomes, how many DNA molecules and how many chromosomes are present at the end of the SS phase and after anaphase?

Solution:

End of SS phase: 4646 chromosomes, 9292 DNA molecules. After Anaphase: 9292 chromosomes, 9292 DNA molecules.

Explanation:

During the SS phase, DNA replication occurs. Each chromosome now consists of two sister chromatids (11 chromosome = 22 DNA molecules). In anaphase, sister chromatids are pulled apart and are then defined as individual chromosomes, thus doubling the chromosome count temporarily within the single cell until cytokinesis is complete.

Cell division - Revision Notes & Key Diagrams | IB Grade 12 Biology