Molecular biology

How do you calculate ligation ratio?

Insert mass for a target insert:vector molar ratio. The relationship used is ng insert = ratio x ng vector x (insert bp / vector bp).

Worked example

Every number below is computed by the calculator, not typed in

What you are given

  • Vector mass (ng): 50
  • Vector length (bp): 5000
  • Insert length (bp): 1000
  • Insert : vector ratio: 3

Formula: ng insert = ratio x ng vector x (insert bp / vector bp)

The working

  1. Length ratio: insertBp / vectorBp = 0.2
  2. Substitute: 3 · 50 ng · (1000 / 5000) = 30 ng

Use 30 ng of insert with 50 ng of vector (3:1).

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What each symbol means

  • mᵢ: Insert mass to add (ng)
  • R: Insert to vector molar ratio
  • mᵥ: Vector mass (ng)
  • Lᵢ: Insert length (bp)
  • Lᵥ: Vector length (bp)

A printable one-page version is on the formula sheet.

Try it yourself

Two problems, with the working revealed

Problem 1 Ligation ratio

Work out the result for ligation ratio.

  • Vector mass (ng): 20
  • Vector length (bp): 7500
  • Insert length (bp): 1000
  • Insert : vector ratio: 3
Show the answer and the working

Use 8 ng of insert with 20 ng of vector (3:1).

  1. Length ratio: insertBp / vectorBp = 0.1333
  2. Substitute: 3 · 20 ng · (1000 / 7500) = 8 ng

Open this in the calculator to change the numbers.

Problem 2 Ligation ratio

Work out the result for ligation ratio.

  • Vector mass (ng): 10
  • Vector length (bp): 5000
  • Insert length (bp): 3000
  • Insert : vector ratio: 6
Show the answer and the working

Use 36 ng of insert with 10 ng of vector (6:1).

  1. Length ratio: insertBp / vectorBp = 0.6
  2. Substitute: 6 · 10 ng · (3000 / 5000) = 36 ng

Open this in the calculator to change the numbers.

Ten more problems on Ligation ratio

Do it with your own numbers.

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