Dynamics of a linearly-perturbed May-Leonard competition model The May-Leonard model was introduced to examine the behavior of three competing populations where rich dynamics, such as limit cycles and nonperiodic cyclic solutions, arise. In this talk, we will discuss an extended May-Leonard model, where the system is perturbed by adding the capability of global mutations, allowing …

Optimization of Immunotherapy Treatment Regimen for Glioblastoma The most common and aggressive primary brain cancer, Glioblastoma multiforme (GBM), exhibits a highly immune-suppressed tumor microenvironment. Monotherapy with anti-PD-1—a common immunotherapy which targets the PD-L1/PD-1 axis—has proved to be unsuccessful likely due to added layers of immune suppression. Murine experiments show that CCR2+ myeloid cells are chemo-kinetically …

Immunotherapy: Using math to help the immune system fight cancer In recent years, immunotherapy has been taking a central role in cancer therapies. In this talk we will provide an overview of some of our recent works in mathematical modeling of immunotherapy. Among the topics we will discuss are engineered T cell therapy, transforming growth …