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Advances in Nano Research Volume 18, Number 4, April 2025 , pages 381-387 DOI: https://doi.org/10.12989/anr.2025.18.4.381 |
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Sensitivity analysis and simulation: Cells growth rate with mathematical modeling |
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Ghulam Murtaza, Riadh Marzouki, Muzamal Hussain, Elimam Ali, Abdur Rauf and Lubna Rasool
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| Abstract | ||
| Using the NETCR (normal-exposed-tumor-cancer-recovered) model, the present work is done to create a dynamic cancer model that shows how cancer progresses from normal cells to cancerous cells. By analyzing the dynamics of the disease and utilizing Python software to determine numerical simulation of cancer cells. The growth rates of normal, exposed, tumor and cancer cells are equivalent to the natural death rate of cells against concentrations of cells are depicted in various graphs. The rates at which cells divide are represented by the growth rates of normal, exposed, tumor, and cancer cells. Furthermore, sensitivity study is performed for various parameters and identified the optimal control strategies by utilizing nanotechnology approaches. | ||
| Key Words | ||
| cancer transmission; cells transmission; dynamical stability; nanotechnology; optimal control; sensitivity analysis | ||
| Address | ||
| Ghulam Murtaza and Muzamal Hussain: Department of Mathematics, University of Sahiwal, Sahiwal, 57000, Pakistan Riadh Marzouki: Department of Chemistry, College of Science, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi Arabia Elimam Ali: Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia Abdur Rauf and Lubna Rasool: Department of Chemistry, University of Sahiwal, Sahiwal, 57000, Pakistan | ||