# Category Theory for Genetics

@article{Tuyras2017CategoryTF, title={Category Theory for Genetics}, author={R{\'e}my Tuy{\'e}ras}, journal={arXiv: Category Theory}, year={2017} }

We introduce a categorical language in which it is possible to talk about DNA sequencing, alignment methods, CRISPR, homologous recombination, haplotypes, and genetic linkage. This language takes the form of a class of limit-sketches whose categories of models can model different concepts of Biology depending on what their categories of values are. We discuss examples of models in the category of sets and in the category of modules over the Boolean semi-ring $\{0,1\}$. We identify a subclass of…

## 2 Citations

Applied Category Theory for Genomics -- An Initiative

- Biology
- 2020

This work explains why applied category theory carries such a hope, and moves on to show how it could actually do so, albeit in baby steps, to integrate the humongous amount of heterogeneous informations in genomics.

МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, 2020 MATHEMATICS AND EDUCATION IN MATHEMATICS, 2020 Proceedings of the Forty-ninth Spring Conference of the Union of Bulgarian Mathematicians 2020 TEACHING CATEGORY THEORY TO UNDERGRADUATES

- Mathematics
- 2020

2 is irrational 2500 years ago is still valid and will be valid ‘until the end of the Universe’. Thus, mathematics operates on grand scales and many mathematicians will be reluctant to include the…

## References

SHOWING 1-10 OF 36 REFERENCES

An Introduction to Recombination and Linkage Analysis

- Biology
- 1996

This introduction describes Mendel's work and the subsequent discovery of linkage, the apparent cause of variable linkage, namely recombination, and linkage analysis is described.

Modeling interference in genetic recombination.

- Computer ScienceGenetics
- 1995

It is found that some biologically inspired point process models incorporating one or two additional parameters provide a dramatically better fit to the data than the usual "no-interference" Poisson model.

Category Theory for the Sciences

- Mathematics
- 2014

Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.

The Effect of Recombination on the Reconstruction of Ancestral Sequences

- BiologyGenetics
- 2010

It is shown that recombination can severely bias ancestral sequence reconstruction (ASR), and the biological predictions derived from ASRs carried out with real data are changed.

Pattern recognition in genetic sequences by mismatch density

- Computer Science
- 1984

An algorithm is given which scans any set of similarities and screens out those which fail to meet the condition, based on the concept of match density, as suggested by Goad and Kanehisa (1982).

Characterization of human crossover interference.

- BiologyAmerican journal of human genetics
- 2000

An equation is presented that provides the probability of the occurrence of a double crossover between two nonrecombinant, informative polymorphisms and, in contrast to earlier suggestions, interference was found to continue uninterrupted across the centromeres.

Categories for the Working Mathematician

- Mathematics
- 1971

I. Categories, Functors and Natural Transformations.- 1. Axioms for Categories.- 2. Categories.- 3. Functors.- 4. Natural Transformations.- 5. Monics, Epis, and Zeros.- 6. Foundations.- 7. Large…

Why would phylogeneticists ignore computerized sequence alignment?

- BiologySystematic biology
- 2009

It is tested by reviewing the current practices for multiple sequence alignment in published phylogenetic analyses and providing suggestions as to why phylogeneticists are apparently dissatisfied with computerized sequence alignment and how to deal with it.

Maternal ancestry and population history from whole mitochondrial genomes

- BiologyInvestigative Genetics
- 2015

In the era of whole nuclear genome sequencing, mitochondrial genomes are continuing to be informative as a unique tool for the assessment of female-specific aspects of the demographic history of human populations.