Fractional time-delay mathematical modeling of Oncolytic Virotherapy

P Kumar, VS Erturk, A Yusuf, S Kumar - Chaos, Solitons & Fractals, 2021 - Elsevier
An emerging treatment tool which uses replication-competent viruses to dissipate cancers
without causing deficit to normal tissues, named as oncolytic virotherapy, is discussed in the …

A delayed fractional-order tumor virotherapy model: Stability and Hopf bifurcation

S Amine, Y Hajri, K Allali - Chaos, Solitons & Fractals, 2022 - Elsevier
A fractional-order tumor virotherapy model with two time delays is presented and analyzed
in this paper. The existence, positivity and bounbdedness of solutions under positive initial …

Natural killer cells recruitment in oncolytic virotherapy: a mathematical model

NS Senekal, KJ Mahasa, A Eladdadi, L de Pillis… - Bulletin of Mathematical …, 2021 - Springer
In this paper, we investigate how natural killer (NK) cell recruitment to the tumor
microenvironment (TME) affects oncolytic virotherapy. NK cells play a major role against …

[HTML][HTML] On a mathematical model of tumor-immune system interactions with an oncolytic virus therapy

SRJ Jang, HC Wei - Discrete and Continuous Dynamical Systems …, 2022 - aimsciences.org
We investigate a mathematical model of tumor–immune system interactions with oncolytic
virus therapy (OVT). Susceptible tumor cells may become infected by viruses that are …

Novel dynamics in an additional food provided predator-prey system with mutual interference

S Wickramasooriya, J Martin, A Banerjee… - arXiv preprint arXiv …, 2023 - arxiv.org
The provision of additional food (AF) sources to an introduced predator has been identified
as a mechanism to improve pest control. However, AF models with prey dependent …

Age-structure model for oncolytic virotherapy

C Ding, Z Wang, Q Zhang - International Journal of Biomathematics, 2022 - World Scientific
A non-local delay differential system was developed by age-infected consideration to
understand the interaction between tumor cells and oncolytic virus. The critical threshold …

On a three-dimensional and two four-dimensional oncolytic viro-therapy models

R Adenane, E Avila-Vales, F Avram, A Halanay… - Boletín de la Sociedad …, 2023 - Springer
We revisit and carry out further computations on tumor-virotherapy compartmental models of
Tian (Math Biosci Eng 8 (3): 841,), Wang et al.(Appl Math Model 37 (8): 5962–5978,), Phan …

Bistability and chaotic behaviors in a 4D cancer oncolytic Virotherapy mathematical model: Pspice and FPGA implementations

P Deivasundari, MK Nono, EBM Ngouonkadi… - Physica …, 2024 - iopscience.iop.org
Oncolytic viruses (OVs) exploit characteristics of mass cells and tumor-related reaction of the
body to the presence of antigen, to lyse malignant cells and modulate the tumor …

Hopf and backward bifurcations induced by immune effectors in a cancer oncolytic virotherapy dynamics

MK Nono, EBM Ngouonkadi, S Bowong… - International Journal of …, 2021 - Springer
Oncolytic virotherapy is emerging as a promising new method for cancer treatment. In this
paper, we consider a mathematical model for treatment of cancer by using oncolytic …

Complex dynamic behaviors of a tumor-immune system with two delays in tumor actions.

J Li, X Ma, Y Chen, D Zhang - Discrete & Continuous …, 2022 - search.ebscohost.com
The action of a tumor on the immune system includes stimulation and neutralization, which
usually have different time delays. In this work we propose a tumor-immune system to …