Bifurcation Analysis and Optimal Control of the Tumor Macrophage Interactions

Lakshmi N Sridhar
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Lakshmi N Sridhar: Chemical Engineering Department, University of Puerto Rico, USA

Biomedical Journal of Scientific & Technical Research, 2023, vol. 53, issue 5, 45218-45225

Abstract: Bifurcation analysis and optimal control was performed on a model describing the interaction between tumors and macrophages. The MATLAB program MATCONT was used to perform the bifurcation analysis and the optimization language promo is used in conjunction with the state-of-the-art global optimization solvers IPOPT and BARON for the optimal control calculations. Both single and multi-objective nonlinear model predictive control (that involves Multi objective optimal control) calculations were performed. The bifurcation analysis revealed oscillation causing Hopf bifurcations while the optimal control showed the existence of spikes in the control profiles. Both were eliminated using an activation factor involving the hyperbolic tangent function.

Keywords: Journals on Medical Drug and Therapeutics; Journals on Emergency Medicine; Physical Medicine and Rehabilitation; Journals on Infectious Diseases Addiction Science and Clinical Pathology; Open Access Clinical and Medical Journal; Journals on Biomedical Science; List of Open Access Medical Journal; Journals on Biomedical Engineering; Open Access Medical Journal; Biomedical Science Articles; Journal of Scientific and Technical Research (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:abf:journl:v:53:y:2023:i:5:p:45218-45225

DOI: 10.26717/BJSTR.2023.53.008470

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