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Journals / Journal of Mathematical Sciences and Modelling / 2023 / Cilt: 6 Sayı: 1

Set-Valued Control of Cancer by Combination Chemotherapy

Amine MOUSTAFİD
Pages
7–16
Publication Date
2023-04-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Set-valued analysis is used to design protocols of drug administration and applied to decrease tumor density under their carrying capacity of Gompertz growth and converge to zero.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A mathematical model of ordinary differential equations is considered to analyze the pharmacokinetics of multi-chemotherapeutic drugs and their pharmacodynamic effects on homogeneous tumors.
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Key Findings & Data:A mathematical model of ordinary differential equations is considered to analyze the pharmacokinetics of multi-chemotherapeutic drugs and their pharmacodynamic effects on homogeneous tumors.
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Conclusion & Impact:Set-valued analysis is used to design protocols of drug administration and applied to decrease tumor density under their carrying capacity of Gompertz growth and converge to zero.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Chemotherapy · Set-valued analysis · Viability theory.

Abstract

A mathematical model of ordinary differential equations is considered to analyze the pharmacokinetics of multi-chemotherapeutic drugs and their pharmacodynamic effects on homogeneous tumors. Set-valued analysis is used to design protocols of drug administration and applied to decrease tumor density under their carrying capacity of Gompertz growth and converge to zero.

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Cite This Article

MOUSTAFİD, A. (2023). Set-Valued Control of Cancer by Combination Chemotherapy. Journal of Mathematical Sciences and Modelling, Cilt: 6 Sayı: 1, 7–16. https://ajindex.com/articles/937808

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References (16)

  1. Y. Batmani, H. Khaloozadeh, Multi objective optimization of drug regimens in cancer chemotherapy using a PK-PD model, 19th Iranian Conference on Electrical Engineering, (2011), 1-1
  2. A. Floares, C. Floares, M. Cucu, L. Lazar, Adaptive neural networks control of drug dosage regimens in cancer chemotherapy, Proceedings of the International Joint Conference on Neural Networks, 1 (2003), 154-159
  3. M. M. Hadjiandreou, G. D. Mitsis, Mathematical modeling of tumor growth, drug-resistance, toxicity, and optimal therapy design, IEEE Trans. Biomed. Eng., 61(2) (2014), 415-425
  4. A. Petrovski, J. McCall, B. Sudha, Multi-objective optimization of cancer chemotherapy using swarm intelligence, AISB Symposium on Adaptive and Emergent Behaviour and Complex Systems, UK Society for AI, (2009)
  5. A. Petrovski, J. McCall, Multi-objective optimisation of cancer chemotherapy using evolutionary algorithms, International Conference on Evolutionary Multi-Criterion Optimization, Springer, Berlin, Heidelberg, (2001)
  6. J. McCall, Genetic algorithms for modelling and optimisation, J. Comput. Appl., 184(1) (2005), 205-222
  7. H. Khaloozadeh, Y. Pedram, H. S. Fatemeh, The optimal dose of CAF regimen in adjuvant chemotherapy for breast cancer patients at stage IIB, Math. Biosci., 213(2) (2008), 151-158
  8. T. Ajayi, S. Hosseinian, A. J. Schaefer, C. D. Fuller, Combination Chemotherapy Optimization with Discrete Dosing, arXiv preprint, (2021)
  9. A. Petrovski, An application of genetic algorithms to chemotherapy treatment, Ph.D. Thesis, Robert Gordon University, 1998
  10. S. L. Thomson, G. Ochoa, The Local Optima Level in Chemotherapy Schedule Optimisation, European Conference on Evolutionary Computation in Combinatorial Optimization (Part of EvoStar), Springer, Cham, (2020)
  11. K. Kassara, A unified set-valued approach to control immunotherapy, SIAM J. Control Optim., 48 (2009), 909-924
  12. M. Serhani, H. Essaadi, K. Kassara, A. Boutoulout, Control by viability in a chemotherapy cancer model, Acta Biotheor., 67 (2019), 177-200
  13. K. Kassara, A. Moustafid, Angiogenesis inhibition and tumor-immune interactions with chemotherapy by a control set-valued method, Math. Biosci., 231 (2011), 135-143
  14. A. Moustafid, General Anti-Angiogenic Therapy Protocols with Chemotherapy, Int. J. Math. Model. Computations, 11(3) (2021)
  15. A. Moustafid, General chemotherapy protocols, J. Appl. Dynamic Syst. Control, 4 (2021), 18-25
  16. L. Boujallal, O. Balatif, M. Elhia, A