Explore the mathematical principles governing evolutionary dynamics within spatially organized tumor environments in this 35-minute didactic lecture. Examine how spatial structure influences cancer cell evolution, including the mechanisms by which tumor architecture affects selective pressures, mutation propagation, and clonal competition. Analyze mathematical models that describe how physical constraints and spatial heterogeneity shape evolutionary trajectories in cancer progression. Investigate the interplay between cellular positioning, resource availability, and evolutionary fitness within tumor microenvironments. Study computational approaches for modeling spatial tumor evolution and understand how these insights inform therapeutic strategies targeting spatially structured malignancies.