Mathematical Problems Inspired by the Lenski Experiment

We will discuss some basic models of mathematical population genetics and explore their application to the study of the Lenski experiment. Additionally, we will describe novel models capable of offering a (partial) parsimonious explanation for the deceleration of relative fitness. These models are also capable of addressing questions such as whether it is advantageous to be efficient. If time allows, we will also delve into examples of mathematical modeling beyond the Lenski experiment, including the study of bacterial populations carrying plasmids.