Is there any academic fields where pure mathematics (Abstract Algebra or Number theory) are applied to medical/biological studies? I am currently looking for applications of pure mathematics ( Especially abstract algebra or number theory) to medical studies, currently I can only think of the explore of deep learning (used in medical image analysis), design of Graph Neural Networks, and a little bit use of integer programming (Not sure if it is pure math)... Thanks so much in advance!

varice2r

varice2r

Answered question

2022-09-05

Is there any academic fields where pure mathematics (Abstract Algebra or Number theory) are applied to medical/biological studies?
I am currently looking for applications of pure mathematics ( Especially abstract algebra or number theory) to medical studies, currently I can only think of the explore of deep learning (used in medical image analysis), design of Graph Neural Networks, and a little bit use of integer programming (Not sure if it is pure math)... Thanks so much in advance!

Answer & Explanation

Penelope Powers

Penelope Powers

Beginner2022-09-06Added 12 answers

Number theory and algebra are both important components in the mathematics of folding things. Many medical objects or devices (e.g. stent) need to enter the body through the smallest possible opening, and then expand into something larger, often something rigid that ideally shouldn’t be able to spontaneously recompress. Medical devices is a field that uses a lot of number theory and abstract algebra.

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