Abstract
On the basis of the model proposed by de Pillis [5], we have performed a quantitative analysis of a mathematical model constructed with a new compartment of drug called monoclonal antibodies (mAbs) drug. Examining the existence and boundedness of solution of the model and stability of tumor-free equilibrium point, the dynamical action of the model is depicted in detail. Numerical calculations are carried out in Mathematica 8.0 to verify the analytical results so obtained. The results suggests that the model explain well about the role of mAbs drug in controlling large population of tumor cells, say \(10^{7}\), in finite time.
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Dhar, B., Gupta, P.K. (2021). Mathematical Analysis on the Behaviour of Tumor Cells in the Presence of Monoclonal Antibodies Drug. In: Das, B., Patgiri, R., Bandyopadhyay, S., Balas, V.E. (eds) Modeling, Simulation and Optimization. Smart Innovation, Systems and Technologies, vol 206. Springer, Singapore. https://doi.org/10.1007/978-981-15-9829-6_24
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DOI: https://doi.org/10.1007/978-981-15-9829-6_24
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