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What is a cofactor?

What is a cofactor? Here are some definitions.

Noun
  1. A contributing factor.
  2. (biochemistry) A substance, especially a coenzyme or a metal, that must be present for an enzyme to function.
  3. (biochemistry) A molecule that binds to and regulates the activity of a protein.
  4. (mathematics) The result of a number being divided by one of its factors.
  5. (mathematics) The signed determinant of the submatrix produced by removing the row and column containing a specified element; primarily used in the recursive definition and calculation of the determinant of a matrix.
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Copper is usually utilized in organisms as a cofactor in enzymes or electron transfer proteins that catalyze redox reactions or oxygen chemistry.
The trace element chromium is a cofactor for insulin and is important for glucose tolerance.
Thiamine pyrophosphate, the active form of vitamin B-1, is a key cofactor of the essential enzymes involved in carbon metabolism.
Biopterin is a vital cofactor in tryptophan hydrolase's conversion of tryptophan to serotonin.
Along with changes in eNOS, the enzyme responsible for the production of the eNOS cofactor, tetrahydrobiopterin was also increased.
Aequorin, when bound to its cofactor coelenterazine, luminesces in response to calcium binding.

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