Denise E. Kirschner

TL;DR: This work develops methods for applying existing analytical tools to perform analyses on a variety of mathematical and computer models and provides a complete methodology for performing these analyses, in both deterministic and stochastic settings, and proposes novel techniques to handle problems encountered during these types of analyses.

TL;DR: A model for the interaction of HIV with CD4+ T cells that considers four populations, characterized by generating differing numbers of infective virions within infected T cells, can cause different amounts of T-cell depletion and generate depletion at different rates.

TL;DR: The dynamics between tumor cells, immune-effector cells, and IL-2 are illustrated through mathematical modeling and the effects of adoptive cellular immunotherapy are explored to explain both short tumor oscillations in tumor sizes as well as long-term tumor relapse.

TL;DR: Using an existing ordinary differential equation model, chemotherapy is introduced in an early treatment setting through a dynamic treatment and then solved for an optimal chemotherapy strategy based on a combination of maximizing benefit based on T cell counts and minimizing the systemic cost of chemotherapy.

TL;DR: This model combines continuous representations of chemokines with discrete agent representations of macrophages and T cells in a cellular automata-like environment and indicates that key host elements involved in granuloma formation are chemokine diffusion, prevention ofmacrophage overcrowding within the granulomas, arrival time, location and number of T cells within thegranuloma, and an overall host ability to activate macrophage.