[PDF][PDF] Synergistic effects of oncolytic adenovirus and MEK inhibitors on glioma treatment dynamics: Analysis and optimal control

MK Nono, EBM Ngouonkadi, S Bowong… - Applied Mathematical …, 2020 - m-hikari.com
In this paper, we investigate the dynamics and optimal control of a combination therapy
model of glioma with adenoviruses and MEK inhibitors. We provide a theoretical study of the …

Oncolytic virotherapy for tumours following a Gompertz growth law

AL Jenner, PS Kim, F Frascoli - Journal of theoretical biology, 2019 - Elsevier
Oncolytic viruses are genetically engineered to treat growing tumours and represent a very
promising therapeutic strategy. Using a Gompertz growth law, we discuss a model that …

Stochastic dynamics of a nonlinear tumor-immune competitive system

M Sardar, S Khajanchi, S Biswas - Nonlinear Dynamics, 2024 - Springer
The paper uses nine coupled ordinary differential equations (ODEs) to describe a tumor-
immune competitive system. The model is then reduced to four nonlinear coupled ODEs …

[PDF][PDF] A mathematical model of oncolytic virotherapy with time delay

Z Wang, Z Guo, H Smith - Mathematical Biosciences and …, 2019 - aimspress.com
Oncolytic virotherapy is an emerging treatment modality which uses replication-competent
viruses to destroy cancers without causing harm to normal tissues. By the development of …

Mathematical modelling of the spatio‐temporal response of cytotoxic T‐lymphocytes to a solid tumour

A Matzavinos, MAJ Chaplain… - … Medicine and Biology, 2004 - academic.oup.com
In this paper a mathematical model describing the growth of a solid tumour in the presence
of an immune system response is presented. In particular, attention is focused upon the …

Mathematical modeling, analysis, and simulation of tumor dynamics with drug interventions

P Unni, P Seshaiyer - Computational and mathematical …, 2019 - Wiley Online Library
Over the last few decades, there have been significant developments in theoretical,
experimental, and clinical approaches to understand the dynamics of cancer cells and their …

Non-Gaussian dynamics of a tumor growth system with immunization

M Hao, T Gao, J Duan, W Xu - arXiv preprint arXiv:1207.5890, 2012 - arxiv.org
This paper is devoted to exploring the effects of non-Gaussian fluctuations on dynamical
evolution of a tumor growth model with immunization, subject to non-Gaussian {\alpha} …

Parameter estimation and treatment optimization in a stochastic model for immunotherapy of cancer

M Diabate, L Coquille, A Samson - Journal of Theoretical Biology, 2020 - Elsevier
Abstract Adoptive Cell Transfer therapy of cancer is currently in full development and
mathematical modeling is playing a critical role in this area. We study a stochastic model …

Modeling of oncolytic viruses in a heterogeneous cell population to predict spread into non-cancerous cells

K Buntval, HM Dobrovolny - Computers in Biology and Medicine, 2023 - Elsevier
New cancer treatment modalities that limit patient discomfort need to be developed. One
possible new therapy is the use of oncolytic (cancer-killing) viruses. It is only recently that …

Mathematical modelling of the dynamics of tumor growth and its optimal control

JI Ira, MS Islam, JC Misra, M Kamrujjaman - 2020 - preprints.org
In the last few decades, the dynamics of tumor cells and their growths are presented via
clinical, experimental, and theoretical approaches, which leads to the development of the …