Optimal control analysis of combined chemotherapy-immunotherapy treatment regimens in a PKPD cancer evolution model

Authors

  • Anuraag Bukkuri University of Minnesota

DOI:

https://doi.org/10.11145/j.biomath.2020.02.137

Keywords:

Mathematical oncology, dynamical systems, optimal control

Abstract

The author constructs a mathematical model capturing tumor-immune dynamics, incorporating the evolution of drug resistance, pharmacokinetics and pharmacodynamics of administered drugs, and immunotherapy possibilities. Numerical simulations are performed to analyze the model under a variety of treatment possibilities. A sensitivity analysis is performed to determine the parameters contributing the most to the variance in effector cell, resistant, and sensitive tumor cell populations. Then, a detailed optimal control analysis is performed, along with a numerical simulation of optimal treatment profiles for a hypothetical patient.

References

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Published

2020-03-02

Issue

Vol. 9 No. 1 (2020)

Section

Original Articles

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