Explore a captivating Oxford Mathematics Public Lecture that delves into the fascinating world of mathematical biology, addressing intriguing questions about three-headed monsters, brain tumors, and even divorce prediction. Discover how Professor James D Murray applies reaction-diffusion theory and developmental constraints to explain limb morphogenesis and petermorphism in various species. Learn about the history of trepanations and modern computer scans in brain tumor research, and understand the process of creating and quantifying mathematical models for low-grade tumors. Gain insights into tumor growth, surgical interventions, and the unexpected connections between mathematical biology and relationship dynamics as explored by John Gottman.