Q.51 In a mouse genome, the numbers of functional Vα, Jα, Vβ, Dβ, Jβ gene segments are 79, 38, 21, 2 and 11, respectively. The total number of possible combinations for αβ T cell receptors are ______ × 106.

Q.51 In a mouse genome, the numbers of functional

Vα, Jα, Vβ, Dβ, Jβ gene segments are
79, 38, 21, 2 and 11, respectively.
The total number of possible combinations for
αβ T cell receptors are
______ × 106.

Total Number of Possible αβ T Cell Receptor Combinations in Mouse Genome

The diversity of the adaptive immune system is generated through
V(D)J recombination. In T lymphocytes, the
αβ T cell receptor (TCR) is formed by rearrangement
of multiple gene segments. This article explains how to calculate
the total number of possible αβ T cell receptor combinations
in a mouse genome.

Correct Answer

138 × 106

Step-by-Step Explanation

1. α-Chain Combinations

The α-chain of the T cell receptor is formed by
Vα–Jα recombination.

α-chain combinations = Vα × Jα

= 79 × 38 = 3002

2. β-Chain Combinations

The β-chain is formed by
Vβ–Dβ–Jβ recombination.

β-chain combinations = Vβ × Dβ × Jβ

= 21 × 2 × 11 = 462

3. Total αβ T Cell Receptor Combinations

One α-chain pairs with one β-chain to form a complete αβ TCR.

Total combinations = 3002 × 462

= 1,386,924

4. Expression in Scientific Notation

1,386,924 ≈ 1.38 × 106

Final Answer

138 × 106

Key Takeaway

The vast diversity of T cell receptors arises from the combinatorial
joining of gene segments. Even without junctional diversity,
the mouse genome can generate over
138 million distinct αβ T cell receptors.

 

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