The study of the ways nutrients and food influence gene expression is called

Nutrigenomics

Explanation:

Nutrigenomics may be defined as the branch of biology that mainly deals with the relationship between human genome, health and nutrition. This field explains the effect of a gene and its relationship with nutrition in an individual organism.

Nutrigenomics is effective in reducing the chance of obesity in the organisms.  Nutrigenomics explains the genetic factor and nutrition pattern in the organisms.

Thus, the answer is nutrigenomics.

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