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Abstract

In this work, we characterize the viability kernel of a two-dimensional dynamical system describing the interaction between tumor cells and effector cells, controlled by chemotherapy and immunotherapy, subjected to biological constraints. We use viability theory to calculate analytically the viability kernel that measures the relevance of combination therapy based on the condition of the cells during the first diagnosis and evaluate the chances of remission of a patient.

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Sabir, S., Raissi, N. (2019). Analysis of Tumor/Effector Cell Dynamics and Decision Support in Therapy. In: Mondaini, R. (eds) Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-030-23433-1_11

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