Keon Abedi L&S Math & Physical Sciences
Evolutionary dynamics in non-delta autocorrelated environmental noise.
This project will investigate how the frequency of a mutation changes over time when in the presence of correlated environmental noise. This is an open question in the biophysics of evolutionary dynamics, which seeks a quantitative framework for Darwin’s theory of natural selection. The core idea of evolution is that a mutation’s frequency tends to increase over generations when it offers an advantage to its hosts. For example, in an environment with antibiotics, mutations conferring antibiotic resistance are strongly favored and can quickly become prevalent across a bacterial population; we say there is a high “fixation probability”. However, this changes when organisms are subjected to temporally-structured or seasonal environments: a mutation beneficial in one epoch but unhelpful or costly at other times is less likely to be found at high frequencies. By extending mathematical models of evolution to also account for such not-totally-uncorrelated (more formally: “non-delta autocorrelated”) environmental noise, I will aim to calculate the fixation probability of a mutation in these conditions, and to explore its implications for microbial evolution.