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 …
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 …
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 …
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 …
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
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 …
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 …
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
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 …
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 …
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 …
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 …
models for oncolytic virotherapy do not incorporate this process. In this article, we propose a …