Category Theory & Biology

In evolution.

In neuroscience as well as other work in studying the brain via algebraic topology.

You could have a look at the following two papers about genetics and category theory:

Category theory for genetics I: mutations and sequence alignments, https://arxiv.org/abs/1805.07002

Category theory for genetics II: genotype, phenotype and haplotype, https://arxiv.org/abs/1805.07004

These papers are revisions of the following one:

https://arxiv.org/abs/1708.05255