A deterministic and stochastic model for the system dynamics of tumor–immune responses to chemotherapy

X Liu, Q Li, J Pan - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
Modern medical studies show that chemotherapy can help most cancer patients, especially
for those diagnosed early, to stabilize their disease conditions from months to years, which …

[PDF][PDF] Analysis of a deterministic-stochastic oncolytic M1 model involving immune response via crossover behaviour: Ergodic stationary distribution and extinction

A Atangana, S Rashid - AIMS Math, 2023 - researchgate.net
Oncolytic virotherapy is a viable chemotherapeutic agent that identifies and kills tumor cells
using replication-competent pathogens. Oncolytic alphavirus M1 is a naturally existing …

[HTML][HTML] Efficient virotherapy of cancer in the presence of immune response

BS Choudhury, B Nasipuri - International Journal of Dynamics and Control, 2014 - Springer
In recent times the possibilities of treating cancer using specific types of viruses are being
explored. Here we consider a nonlinear mathematical model based on ordinary differential …

Spatial model for oncolytic virotherapy with lytic cycle delay

J Zhao, JP Tian - Bulletin of mathematical biology, 2019 - Springer
We formulate a mathematical model of functional partial differential equations for oncolytic
virotherapy which incorporates virus diffusivity, tumor cell diffusion, and the viral lytic cycle …

[HTML][HTML] Hopf bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy, part II

TA Phan, JP Tian - Journal of mathematical analysis and applications, 2022 - Elsevier
In part II, we analyze our stochastic model which incorporates microenvironmental noises
and uncertainties related to immune responses. Outcomes of the therapy in our model are …

[引用][C] On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model

JG Otero, M Bodzioch… - Mathematical Models and …, 2024 - World Scientific
Celyvir is an advanced therapy medicine, consisting of mesenchymal stem cells (MSCs)
containing the oncolytic virus ICOVIR 5. This paper sets out a dynamic system which …

[HTML][HTML] A cellular automata model of oncolytic Virotherapy in pancreatic cancer

J Chen, D Weihs, FJ Vermolen - Bulletin of Mathematical Biology, 2020 - Springer
Oncolytic virotherapy is known as a new treatment to employ less virulent viruses to
specifically target and damage cancer cells. This work presents a cellular automata model of …

A generic viral dynamic model to systematically characterize the interaction between oncolytic virus kinetics and tumor growth

MI Titze, J Frank, M Ehrhardt, S Smola, N Graf… - European Journal of …, 2017 - Elsevier
Oncolytic viruses (OV) represent an encouraging new therapeutic concept for treatment of
human cancers. OVs specifically replicate in tumor cells and initiate cell lysis whilst tumor …

[HTML][HTML] Assessing the impact of immunotherapy on oncolytic virotherapy in the treatment of cancer

S Omer, H Mambili-Mamboundou - Journal of Applied Mathematics and …, 2024 - Springer
Combined oncolytic virotherapy and immunotherapy are novel treatment protocols that
represent a promising and advantageous strategy for various cancers, surpassing …

[HTML][HTML] Lytic cycle: a defining process in oncolytic virotherapy

Y Wang, JP Tian, J Wei - Applied Mathematical Modelling, 2013 - Elsevier
The viral lytic cycle is an important process in oncolytic virotherapy. Most mathematical
models for oncolytic virotherapy do not incorporate this process. In this article, we propose a …