2021/01/28 by Jayanth Pratap, Pratap, Jayanth
Biochemistry, Genetics and Molecular Biology · Mathematics · #FOS: Biological sciences #FOS: Mathematics #Optimization and Control (math.OC) #Tissues and Organs (q-bio.TO) #math.OC #q-bio.TO
paper · pdf · doi:10.48550/arxiv.2101.12120
arxiv created 2021/01/28 · arxiv updated 2021/01/29
While the use of combination therapy is increasing in prevalence for cancer treatment, it is often difficult to predict the exact interactions between different treatment forms, and their synergistic/antagonistic effects on patient health and therapy outcome. In this research, a system of ordinary differential equations is constructed to model nonlinear dynamics between tumor cells, immune cells, and three forms of therapy: chemotherapy, immunotherapy, and radiotherapy. This model is then used to generate optimized combination therapy plans using optimal control theory. In-silico experiments are conducted to simulate the response of the patient model to various treatment plans. This is the first mathematical model in current literature to introduce radiotherapy as an option alongside immuno- and chemotherapy, permitting more flexible and effective treatment plans that reflect modern therapeutic approaches.