Biomathematics

Do higher-order interactions promote coexistence in diverse ecological communities? From the human microbiome to the Amazon rainforest, diverse ecological communities are widespread in the natural world, but we do not know how this diversity is maintained by the interactions between species. A central assumption in most ecological models is that the interactions in a community …

Network Architecture Dictates Dynamics: Operating Principles of Interconnected Feedback Loops in Cell Fate Transitions Interconnected feedback loops are prevalent in cell fate transitions, yet their operating principles remain largely unexplored. In this talk, we will examine high-dimensional feedback loops (HDFLs) organized into serial, hub, and cyclic network architectures. We will see that network architecture dictates …

Systems-Level Mapping of the Tumor Microenvironment in Platinum-Resistant Ovarian Cancer Ovarian cancer remains the most lethal gynecologic cancer, with limited improvements in patient survival despite advances in personalized medicine and a high rate of recurrence (~80%). Current standard-of-care involves platinum-based chemotherapy, but the emergence of resistant clones limits long-term efficacy. Existing models often overlook critical …