18 citations · 24 across the 7 of their papers we have counts for
7 papers
Analysis of persistence thresholds for a nonlocal PDE--ODE model of bacterial persister cells
Chongming Li, Tyler Meadows, Troy Day
Within many bacterial colonies, persister cells exist as a subpopulation that is tolerant to antibiotics and other stressors, yet not genetically distinct from the rest of the colo…
Competition in the nutrient-driven self-cycling fermentation process
Stacey R. Smith?, Tyler Meadows, Gail S. K. Wolkowicz
Self-cycling fermentation is an automated process used for culturing microorganisms. We consider a model of distinct species competing for a single non-reproducing nutrient in…
A model of virus infection with immune responses supports boosting CTL response to balance antibody response
Tyler Meadows, Elissa J. Schwartz
We analyze a within-host model of virus infection with antibody and CD8+ cytotoxic T lymphocyte (CTL) responses proposed by Schwartz et al. (2013). The goal of this work is to gain…
Growth on multiple interactive-essential resources in a self-cycling fermentor: An impulsive differential equations approach
Tyler Meadows, Gail S. K. Wolkowicz
We introduce a model of the growth of a single microorganism in a self-cycling fermentor in which an arbitrary number of resources are limiting, and impulses are triggered when the…
Global analysis of a simplified model of anaerobic digestion and a new result for the chemostat
Tyler Meadows, Marion Weedermann, Gail S. K. Wolkowicz
A. Bornhöft, R. Hanke-Rauschenbach, and K. Sundmacher, [Nonlinear Dyn., 73 (2013), pp. 535-549] introduced a qualitative simplification to the ADM1 model for anaerobic digestion. W…
Growth on Two Limiting Essential Resources in a Self-Cycling Fermentor
Ting-Hao Hsu, Tyler Meadows, Lin Wang +1
A system of impulsive differential equations with state-dependent impulses is used to model the growth of a single population on two limiting essential resources in a self-cycling…