Mathematical oncologists apply mathematical and computational models to every aspect of cancer biology, from tumor initiation to malignant spread and treatment response. A substantial amount of medical research now focuses on the molecular biology of individual tumors to selectively target pathways involved in tumor progression, leading to careful manipulation of these pathways, and new cell-specific approaches to cancer therapy are now being developed.
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At the same time, advances in cancer immunotherapies have led to a reemergence of their use and effectiveness. Using data-driven computational models is a powerful and practical way to investigate the therapeutic potential of novel combinations of these two very different strategies for clinical cancer treatment. Trachette showcases mathematical models designed to optimize targeted drug treatment strategies in combination with immunotherapy, to gain a more robust understanding of how specific tumor mutations affect the immune system and ultimately impact combination therapy. Combined with existing and newly generated experimental data, these models are poised to improve the ability to connect promising drugs for clinical trials and reduce the time and costs of transitioning novel therapeutic approaches from 'equations to bench to bedside.' Trachette Jackson is Professor of Mathematics at the University of Michigan and recipient of many awards for her work in her field and for her commitment to increasing opportunities for girls, women, and underrepresented minority students. The Oxford Mathematics Public Lectures are generously supported by XTX Markets.