A double dose of topics - responding to missed antibiotic doses and first passage times under constant immigration

Speaker: Hwai-Ray Tung (University of Utah)

Date: 11/19/24

Abstract: This talk consists of two shorter talks. The first asks what to do when you forget to take a dose of antibiotics; in particular, should you take one dose or two for your next dose? To answer this, we examine a mathematical model that links antibiotic concentration with bacteria population dynamics through simulations, then develop an approximate model to analytically understand when double dosing is advantageous. The second asks when a target is reached by searchers that are recruited to the starting position at some constant rate. When searchers are added quickly, we are able to describe the first passage time for general classes of search problems. Both projects are work done with Sean Lawley.