Far East Journal of Dynamical Systems

The Far East Journal of Dynamical Systems publishes original research papers and survey articles in all aspects of dynamical systems, including chaos, fractals, and ergodic theory. It encourages application-oriented research in physics, life sciences, and social sciences.

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ANALYSIS OF THE DYNAMICS OF A DIFFUSION MODEL USING ONYX-015 ADENOVIRUSES IN CANCER THERAPY

Authors

  • N’DRI Gnangbi Donald Odilon
  • TIA Kessé Thiban
  • OKOU Hypolithe
  • NINDJIN Aka Fulgence

Keywords:

ONYX-015 adenoviruses, tumor cells, cancer therapy, boundedness, permanence, Lyapunov’s functional, diffusion, metastasis, equilibrium, local stability, global stability, delay

DOI:

https://doi.org/10.17654/0972111825010

Abstract

We start from the equations established in [1] to which we add a diffusion term. We show under certain conditions that by taking into account the metastasis of the cancer, we succeed in eradicating the tumor. On the other hand, we managed to identify conditions under which we can live in the long term with the tumor mass. Thus, for an appropriate tumor size, the proposed therapy seems to be effective when we are at the metastasis phase.

Received: January 8, 2025
Accepted: March 3, 2025

References

[1] Yongmei Su, Chen Jia and Ying Chen, Optimal Control Model of Tumor Treatment with Oncolytic Virus and MEK Inhibitor, Hindawi Publishing Corporation BioMed Research International Volume 2016 (2016), p. 8. Article ID 5621313.

[2] Aka Fulgence Nindjin, Kessé Thiban Tia, Hypolithe Okou and Albin Tetchi, Stability of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes and time-delay in two dimensions, Advances in Difference Equations (2018), 1-17.

[3] Y. Chen and Y. M. Su, An improved model of tumor therapy with oncolytic virus, Journal of Henan University of Science Technology 37(4) (2016), 92-96.

[4] G. Cherubini, T. Petouchoff, M. Grossi, S. Piersanti, E. Cundari and I. Saggio, ElB55K-deleted Adenovirus (ONYX-015) overrides Gl/S and G2/M checkpoints and causes mitotic catastrophe and endoreduplication in p53-proficient normal cells, Cell Cycle 5(19) (2006), 2244-2252.

[5] N. Bagheri, M. Shiina, D. A. Lauffenburger and W. M. Korn, A dynamical systems model for combinatorial cancer therapy enhances oncolytic adenovirus efficacy by MEK-inhibition, PLos Computational Biology 7(2) (2011), p. 10, Article ID e1001085.

[6] R. Zurakowski and D. Wodarz, Model-driven approaches for in vitro combination therapy using ONYX-015 replicating oncolytic adenovirus, Journal of Theoretical Biology 245(1) (2007), 1-8.

[7] J. M. Bergelson, J. A. Cunningham, G. Droguett, E. A. Kurt-Jones, A. Krithivas, J. S. Hong, M. S. Horwitz, R. L. Crowell and R. W. Finberg, Isolation of a common receptor for Coxsackie B viruses and adenoviruses 2 and 5, Science 275(5304) (1997), 1320-1323.

[8] M. E. Wilcox, W. Yang, D. Senger, N. B. Rewcastle, D. G. Morris, P. M. Brasher, Z. Q. Shi, R. N. Johnston, S. Nishikawa, P. W. Lee, P. A. Forsyth, Reovirus as an oncolytic agent against experimental human malignant gliomas, J. Natl. Cancer Inst. 93(12) (2001), 903-912.

[9] T. YouShan and G. Qian, A mathematical model of combined therapies against cancer using viruses and inhibitors, Science in China Series A: Mathematics 51(12) (2008), 2315-2329.

[10] Ian Ganly, David Kirn, Susan G. Eckhardt, Gail I. Rodriguez, David S. Soutar, Randol Otto, Andrew G. Robertson, Oirhigh Park, Mark L. Gulley, Carla Heise, Daniel D. Von Hoff and Stanley B. Kaye, A phase I study of ONYX-015, an E1B attenuated adenovirus, administred intratumorally to patients with recurrent head and neck cancer, Clinical Cancer Research 6(3) (2000), 798-806.

[11] M. R. Patel and R. A. Kratzke, Oncolytic virus therapy for cancer: the first wave of translational clinical trials, Translational Research 161(4) (2013), 355-364.

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Published

2025-07-23

Issue

Vol. 38 No. 2 (2025)

Section

Articles

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How to Cite

ANALYSIS OF THE DYNAMICS OF A DIFFUSION MODEL USING ONYX-015 ADENOVIRUSES IN CANCER THERAPY. (2025). Far East Journal of Dynamical Systems, 38(2), 217-248. https://doi.org/10.17654/0972111825010