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Cell Cycle and Cell Division - Mitosis and its significance

Grade 11CBSEBiology

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

🔑Concepts

Mitosis is termed as equational division because the number of chromosomes in the parent and daughter cells remains the same (2n2n2n \rightarrow 2n).

The cell cycle consists of Interphase (G1G_1, SS, and G2G_2 phases) and the M Phase (Mitosis). DNA replication occurs specifically during the SS phase, where DNA content increases from 2C2C to 4C4C, though the chromosome number remains 2n2n.

Prophase: Marked by the condensation of chromosomal material. Centrosomes move to opposite poles, and the nuclear envelope, nucleolus, Golgi apparatus, and ERER disappear.

Metaphase: Spindle fibers attach to the kinetochores of chromosomes. Chromosomes align at the equator of the cell, forming the metaphase plate.

Anaphase: The centromere of each chromosome splits simultaneously, and sister chromatids (now referred to as daughter chromosomes) migrate toward opposite poles.

Telophase: Chromosomes reach their respective poles and decondense. The nuclear envelope reforms around the chromosome clusters, and the nucleolus and other organelles reappear.

Cytokinesis: The division of cytoplasm. In animal cells, it occurs by the formation of a furrow in the plasma membrane. In plant cells, it occurs by the formation of a cell plate, starting from the center and growing outwards.

Significance of Mitosis: It leads to the production of diploid daughter cells with identical genetic complements, aids in the growth of multicellular organisms, and is crucial for cell repair and replacement (e.g., in the lining of the gut and blood cells).

📐Formulae

Number of cells after n mitotic divisions=2n\text{Number of cells after } n \text{ mitotic divisions} = 2^n

Number of generations required to produce X cells=log2(X)\text{Number of generations required to produce } X \text{ cells} = \log_2(X)

Ploidy Conservation: 2nMitosis2n\text{Ploidy Conservation: } 2n \xrightarrow{\text{Mitosis}} 2n

DNA Content: G1(2C)S-phase4CMitosisG1(2C)\text{DNA Content: } G_1(2C) \xrightarrow{\text{S-phase}} 4C \xrightarrow{\text{Mitosis}} G_1(2C).

Number of Mitotic Divisions to produce N cells=N1\text{Number of Mitotic Divisions to produce } N \text{ cells} = N - 1

💡Examples

Problem 1:

An onion root tip cell has 16 chromosomes. Calculate the number of chromosomes the cell will have at the G1G_1 phase, SS phase, and after the completion of Mitosis.

Solution:

G1=16G_1 = 16, S=16S = 16, After Mitosis=16\text{After Mitosis} = 16.

Explanation:

In Mitosis, the chromosome number (2n2n) does not change. While DNA content doubles during the SS phase (2C2C to 4C4C), the number of chromosomes remains the same throughout the cycle in equational division.

Problem 2:

How many mitotic divisions are required to produce 128 cells from a single parent cell?

Solution:

n=7n = 7

Explanation:

Using the formula 2n=X2^n = X, where XX is the total number of cells. 2n=12827=1282^n = 128 \Rightarrow 2^7 = 128. Therefore, 7 successive mitotic divisions are required.

Problem 3:

If the initial DNA content of a cell is 10 pg10 \text{ pg}, what will be the DNA content in the G2G_2 phase and in each daughter cell after cytokinesis?

Solution:

G2=20 pgG_2 = 20 \text{ pg}, Daughter cell=10 pg\text{Daughter cell} = 10 \text{ pg}.

Explanation:

During the SS phase, DNA replication doubles the content (10 pg×2=20 pg10 \text{ pg} \times 2 = 20 \text{ pg}). This amount remains constant during G2G_2. After cytokinesis, the DNA is equally distributed into two daughter cells, returning the content to the original 10 pg10 \text{ pg} per cell.

Mitosis and its significance - Revision Notes & Key Diagrams | CBSE Class 11 Biology