Tumour Chemotherapy by Continuous Infusion Drug Using Exponential Growth
We present a theoretical framework combining exponential growth dynamics and Michaelis-Menten kinetics to model the interaction between tumor density and drug concentration delivered via an infusion pump. The model accounts for the saturation of tumor growth inhibition at high drug concentrations,...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2025-06-01
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| Series: | Journal of Engineering |
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| Online Access: | https://joe.uobaghdad.edu.iq/index.php/main/article/view/3618 |
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| author | Sokaina Sabah Hassan Hayder M. Al-Saedi |
| author_facet | Sokaina Sabah Hassan Hayder M. Al-Saedi |
| author_sort | Sokaina Sabah Hassan |
| collection | DOAJ |
| description |
We present a theoretical framework combining exponential growth dynamics and Michaelis-Menten kinetics to model the interaction between tumor density and drug concentration delivered via an infusion pump. The model accounts for the saturation of tumor growth inhibition at high drug concentrations, reflecting biological saturation effects. Continuous infusion chemotherapy is highlighted as a superior delivery method, maintaining consistent drug levels at the tumor site while reducing systemic side effects compared to conventional bolus methods. The framework provides a predictive tool for determining the critical drug concentrations and tumor densities required for tumor elimination while minimizing adverse effects. Stability analysis, based on solving nonlinear equations, identifies equilibrium points that represent steady states of tumor density and drug concentration. The stability of these points is examined to assess the long-term effectiveness of chemotherapy regimens. Illustrative numerical simulations demonstrate how variations in drug delivery rates, tumor properties, and kinetic parameters influence therapeutic outcomes. Key factors such as the minimum drug concentration needed to suppress tumor growth and conditions for tumor eradication or regrowth are identified. Sensitivity analysis further reveals how parameter changes affect system stability and outcomes, offering insights for optimizing dosing strategies. This framework bridges theoretical modeling and practical challenges in cancer chemotherapy, providing a versatile tool for understanding and improving treatment strategies. It can be adapted to various tumor types and treatment modalities, supporting advancements in personalized medicine and future cancer therapy research.
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| format | Article |
| id | doaj-art-70fd3ec511c34d9b95bf1932e3ca251e |
| institution | DOAJ |
| issn | 1726-4073 2520-3339 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj-art-70fd3ec511c34d9b95bf1932e3ca251e2025-08-20T03:22:15ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392025-06-0131610.31026/j.eng.2025.06.08Tumour Chemotherapy by Continuous Infusion Drug Using Exponential GrowthSokaina Sabah Hassan0Hayder M. Al-Saedi1Department of Mathematics, College of Science for Women, University of BaghdadDepartment of Mathematics, College of Science for Women, University of Baghdad We present a theoretical framework combining exponential growth dynamics and Michaelis-Menten kinetics to model the interaction between tumor density and drug concentration delivered via an infusion pump. The model accounts for the saturation of tumor growth inhibition at high drug concentrations, reflecting biological saturation effects. Continuous infusion chemotherapy is highlighted as a superior delivery method, maintaining consistent drug levels at the tumor site while reducing systemic side effects compared to conventional bolus methods. The framework provides a predictive tool for determining the critical drug concentrations and tumor densities required for tumor elimination while minimizing adverse effects. Stability analysis, based on solving nonlinear equations, identifies equilibrium points that represent steady states of tumor density and drug concentration. The stability of these points is examined to assess the long-term effectiveness of chemotherapy regimens. Illustrative numerical simulations demonstrate how variations in drug delivery rates, tumor properties, and kinetic parameters influence therapeutic outcomes. Key factors such as the minimum drug concentration needed to suppress tumor growth and conditions for tumor eradication or regrowth are identified. Sensitivity analysis further reveals how parameter changes affect system stability and outcomes, offering insights for optimizing dosing strategies. This framework bridges theoretical modeling and practical challenges in cancer chemotherapy, providing a versatile tool for understanding and improving treatment strategies. It can be adapted to various tumor types and treatment modalities, supporting advancements in personalized medicine and future cancer therapy research. https://joe.uobaghdad.edu.iq/index.php/main/article/view/3618ChemotherapyExponential growthInfusion drug deliveryMichaelis-Menten kineticsStability |
| spellingShingle | Sokaina Sabah Hassan Hayder M. Al-Saedi Tumour Chemotherapy by Continuous Infusion Drug Using Exponential Growth Journal of Engineering Chemotherapy Exponential growth Infusion drug delivery Michaelis-Menten kinetics Stability |
| title | Tumour Chemotherapy by Continuous Infusion Drug Using Exponential Growth |
| title_full | Tumour Chemotherapy by Continuous Infusion Drug Using Exponential Growth |
| title_fullStr | Tumour Chemotherapy by Continuous Infusion Drug Using Exponential Growth |
| title_full_unstemmed | Tumour Chemotherapy by Continuous Infusion Drug Using Exponential Growth |
| title_short | Tumour Chemotherapy by Continuous Infusion Drug Using Exponential Growth |
| title_sort | tumour chemotherapy by continuous infusion drug using exponential growth |
| topic | Chemotherapy Exponential growth Infusion drug delivery Michaelis-Menten kinetics Stability |
| url | https://joe.uobaghdad.edu.iq/index.php/main/article/view/3618 |
| work_keys_str_mv | AT sokainasabahhassan tumourchemotherapybycontinuousinfusiondrugusingexponentialgrowth AT haydermalsaedi tumourchemotherapybycontinuousinfusiondrugusingexponentialgrowth |