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Explore optimal control theory applications in cancer treatment protocols through this comprehensive lecture by Urszula Ledzewicz from Łódź University of Science and Technology and Southern Illinois University. Delve into the evolution of cancer therapy beyond traditional cell-killing approaches to encompass tumor microenvironment manipulation, including immune system modulation and vascularization control. Examine novel combination therapies that integrate cytotoxic treatments with immunotherapy and anti-angiogenic approaches, focusing on experimentally confirmed synergistic effects where one therapy enhances another's effectiveness. Investigate the complex challenges of drug administration in combination therapies, addressing critical questions of dosage, frequency, and sequencing while balancing therapeutic efficacy against potentially fatal side effects from chemotherapy, immunotherapy, and angiogenic inhibitors. Learn how optimal control mathematical models provide solutions for designing dosing protocols that maximize treatment effectiveness while minimizing drug toxicity, offering alternatives to expensive and limited clinical trial testing. Analyze various combination therapy models incorporating antiangiogenic treatment, chemotherapy, radiotherapy, and immunotherapy while addressing synergistic phenomena. Examine obstacles including evolving tumor heterogeneity, developing drug resistance, and the crucial role of pharmacokinetics and pharmacodynamics in treatment modeling. Discover how appropriately selected lower doses can achieve superior results compared to traditional maximum allowable dose regimens with rest periods, introducing metronomic chemotherapy concepts. Review specific case studies including chronic myeloid leukemia treatment through tyrosine kinase inhibitors combined with immuno-modulatory therapies, comparing optimal solutions with best-in-class approaches using limited dosage ranges and predetermined timing protocols, while acknowledging theoretical limitations and ongoing research challenges.
