Mathematical model of molecular evolution through a stochastic analysis
Abstract
1Today we are able to describe genome evolution but, there are still several open questions on this area such as: Which is the probability that a mutation occurs at a nucleotide level? Is it possible to predict the evolution of a particular genome?, or talking about preservation, is there a way to simulate the genetic diversity for endangered species? In this paper it is shown that it is possible to make a mathematical model not only of mutations on the genome of species, but of evolution itself, including factors such as artificial and natural selection. It is also presented the algorithm to obtain the probabilities of mutation for each specific part of the genome and for each specie.\n\nEven more, it is presented a mathematical method to estimate the amount of generations between two related genomes and a function capable of predict the amount of mutations through time a genome will suffer.\n\nThe potential of having this tool is giantic going from genetic engineering applied to medicine to filling up blank spaces in phylogenetic studies or preservation of endangered species due to genetic diversity.
02 /Specification & Classification
Click any tag to browse matching papers- Research Focus
- Approach
Reproducibility ledger
Nobody has reported trying to reproduce this paper yet. Did you replicate an experiment or run the code? Your report saves the next lab a week.
Sign in to file a reproducibility report.
Related papers
- Markov chains applied to molecular evolution simulation
Joel Valdivia Ortega·bioRxiv·May 30, 2019
- A Branching Process Model of Evolutionary Rescue
R. B. R. Azevedo, P. Olofsson·Mathematical BiosciencesPeer-reviewed·Nov 1, 2021
- Evolution of mutation rates in digital genomes: the roles of genetic drift, mutational supply, and genome size
Quentin Fernandez De Grado, Antoine Frénoy·bioRxiv·Jul 3, 2026
- The landscape of nucleotide diversity in Drosophila melanogaster is shaped by mutation rate variation
G. V. Barroso, J. Y. Dutheil·bioRxiv·Sep 16, 2021
- How sequence context-dependent mutability drives mutation rate variation in the genome
M. Oman, A. Alam, R. Ness·Genome Biology and EvolutionPeer-reviewed·Feb 26, 2022
- Causal inference clarifies the roles of background selection and mutation rate variation in shaping human genetic diversity
Gustavo Valadares Barroso, Nicholas W Collier, … Aaron P. Ragsdale·bioRxiv·Sep 10, 2026