SavedAdd your journal

Journals / International Journal of Informatics and Applied Mathematics / 2023 / Cilt: 6 Sayı: 1

Viability Control of Chemo-Immunotherapy and Radiotherapy by Set-Valued Analysis

Amine MOUSTAFİD
Pages
40–56
Publication Date
2023-06-16
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

The obtained controls derive from the derivative cone of therapeutic domains as solution of minimizing problem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we set-valued analyze the problem of asymptotic stabilizing the tumor size.
📊
Key Findings & Data:A mathematical model of exponential tumor growing caused by carcinogenic substance is considered, with chemotherapy, immunotherapy, and radiotherapy effects.
💡
Conclusion & Impact:The obtained controls derive from the derivative cone of therapeutic domains as solution of minimizing problem.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:chemotherapy · immunotherapy · radiotherapy

Abstract

In this paper we set-valued analyze the problem of asymptotic stabilizing the tumor size. A mathematical model of exponential tumor growing caused by carcinogenic substance is considered, with chemotherapy, immunotherapy, and radiotherapy effects. We control the model to be viable in therapeutic domains, and reverse the exponential growing of the tumor size. The obtained controls derive from the derivative cone of therapeutic domains as solution of minimizing problem.

🔖

Cite This Article

MOUSTAFİD, A. (2023). Viability Control of Chemo-Immunotherapy and Radiotherapy by Set-Valued Analysis. International Journal of Informatics and Applied Mathematics, Cilt: 6 Sayı: 1, 40–56. https://ajindex.com/articles/947493

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. El Haout, S., Fatani, M., Farha, N., AlSawaftah, N., Mortula, M., Husseini, G.: Modeling the Effects of Chemotherapy and Immunotherapy on Tumor Growth. Journal Of Biomedical Nanotechnology. 17, 2505-2518, 2021
  2. Pratap, J.: An optimal control strategy for mathematically modeling cancer combination therapy. ArXiv Preprint ArXiv:2101.12120, 2021
  3. Nave, O.: A mathematical model for treatment using chemo-immunotherapy. Heliyon. 8, e09288, 2022
  4. Unni, P., Seshaiyer, P.: Mathematical modeling, analysis, and simulation of tumor dynamics with drug interventions. Computational And Mathematical Methods In Medicine, 2019
  5. Sharma, S., Samanta, G.: Analysis of the dynamics of a tumor{immune system with chemotherapy and immunotherapy and quadratic optimal control. Differential Equations And Dynamical Systems. 24, 149-171, 2016
  6. Rodrigues, D., Mancera, P., Carvalho, T., Gonccalves, L.: A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia. Applied Mathematics And Computation. 349, 118-133, 2019
  7. Hellal, H., Elabsy, H., Elkaranshawy, H.: Mathematical Model for Combined Radiotherapy and Chemotherapy that Fits with Experimental Data. Journal Of Physics: Conference Series. 2287, 012013, 2022
  8. Bekker, R., Kim, S., Pilon-Thomas, S., Enderling, H.: Mathematical modeling of radiotherapy and its impact on tumor interactions with the immune system. Neoplasia. 28, 100796, 2022
  9. Butuc, I., Mirestean, C., Iancu, D.: A nonlinear model in the dynamics of tumourimmune system combined with radiotherapy. UPB Sci. Bull., Ser. A. 81, 311-322, 2019
  10. Pinho, S., Bacelar, F., Andrade, R., Freedman, H.: A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy. Nonlinear Analysis: Real World Applications. 14, 815-828, 2013 Esen,  O., Cetin, E., Esen, S.: A mathematical immunochemoradiotherapy model: A multiobjective approach. Nonlinear Analysis: Real World Applications. 9, 511-517, 2008
  11. Kuznetsov, M., Kolobov, A.: Algorithm of optimization of fractionated radiotherapy within its combination with antiangiogenic therapy by means of mathematical modeling. ITM Web Of Conferences. 31, 02001,2020
  12. Kuznetsov, M., Gubernov, V., Kolobov, A.: Analysis of anticancer efficiency of combined fractionated radiotherapy and antiangiogenic therapy via mathematical modelling. Russian Journal Of Numerical Analysis And Mathematical Modelling. 33, 225-242, 2018
  13. Hutchinson, L., Mueller, H., Gaffney, E., Maini, P., Wagg, J., Phipps, A., Boetsch, C., B