Advances in glioblastoma multiforme treatment: new models for nanoparticle therapy
E Ozdemir-Kaynak, AA Qutub… - Frontiers in physiology, 2018 - frontiersin.org
The most lethal form of brain cancer, glioblastoma multiforme, is characterized by rapid
growth and invasion facilitated by cell migration and degradation of the extracellular matrix …
growth and invasion facilitated by cell migration and degradation of the extracellular matrix …
Nanomedicine for glioblastoma: Progress and future prospects
Glioblastoma is the most aggressive form of brain tumor, accounting for the highest mortality
and morbidity rates. Current treatment for patients with glioblastoma includes maximal safe …
and morbidity rates. Current treatment for patients with glioblastoma includes maximal safe …
Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo–Fabrizio derivative
AMS Mahdy - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this study, fractional order is applied to the glioblastoma multiforme (GBM) and IS
interaction models. The monoclonal brain tumor GBM gives rise to other tumors with varying …
interaction models. The monoclonal brain tumor GBM gives rise to other tumors with varying …
Simulation of the phase field Cahn–Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method
V Mohammadi, M Dehghan - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
The main aim of this research work is to find the numerical solution based on a meshless
technique for both the time-dependent Cahn–Hilliard and tumor growth partial differential …
technique for both the time-dependent Cahn–Hilliard and tumor growth partial differential …
Modeling the dynamics of glioma-immune surveillance
S Khajanchi - Chaos, Solitons & Fractals, 2018 - Elsevier
The proposed mathematical model describes how glioma cells evolve and survive the brief
encounter with the immune system mediated by macrophages and the tumor specific CD8+ …
encounter with the immune system mediated by macrophages and the tumor specific CD8+ …
Quantifying the role of immunotherapeutic drug T11 target structure in progression of malignant gliomas: Mathematical modeling and dynamical perspective
S Khajanchi, S Banerjee - Mathematical Biosciences, 2017 - Elsevier
The paper describes a mathematical model with synergistic interaction between the
malignant glioma cells and the immune system, namely, macrophages, activated Cytotoxic T …
malignant glioma cells and the immune system, namely, macrophages, activated Cytotoxic T …
[HTML][HTML] Galerkin finite element method for cancer invasion mathematical model
S Ganesan, S Lingeshwaran - Computers & Mathematics with Applications, 2017 - Elsevier
A finite element scheme for the solution of a cancer invasion model is proposed. The cancer
dynamics model consists of three coupled partial differential equations which describe the …
dynamics model consists of three coupled partial differential equations which describe the …
[HTML][HTML] A note on the numerical approach for the reaction–diffusion problem to model the density of the tumor growth dynamics
E Özuğurlu - Computers & Mathematics with Applications, 2015 - Elsevier
In this article, we numerically solve an equation modeling the evolution of the density of
glioma in the brain—the most malignant form of brain tumor quantified in terms of net rates of …
glioma in the brain—the most malignant form of brain tumor quantified in terms of net rates of …
Brain glioma growth model using reaction-diffusion equation with viscous stress tensor on brain MR images
J Yuan, L Liu - Magnetic resonance imaging, 2016 - Elsevier
In this paper, a new reaction-diffusion model with viscous stress tensor is proposed for
modeling the diffusion and invasion of brain glioma cells, which is based on the model in …
modeling the diffusion and invasion of brain glioma cells, which is based on the model in …
Post-surgery glioma growth modeling from magnetic resonance images for patients with treatment
Reaction diffusion is the most common growth modelling methodology due to its simplicity
and consistency with the biological tumor growth process. However, current extensions of …
and consistency with the biological tumor growth process. However, current extensions of …