What do you mean by mathematical relationship? Sure, there must be some relationship, but it will not be universal for all microRNAs and all genes. It is specific for any individual pair under consideration.

Consider:

1.Our information about regulation a gene is very limited.

2. You need a expert person in mathematics cuz bio world is not liner and also it's not basic on true numbers.

3. So if you find a formula, it's not work correctly always

Regards

Abhijeet Singh , by mathematical relationship I meant to ask if there are ways to represent by what degree miRNA is regulating a gene in comparison to its degree of regulation of another gene. Since multiple transcripts are up/down-regulated by one single miRNA.

Yes, I was expecting that and hence I tried to answer previously, that there must be of course a relationship between the miRNA and its interaction with the corresponding gene. However, this relation must be considered for that particular pair in question and can not be generalized, unless proven.

Gibbs free energy for calculating interaction between miRNA seed and target.