[HTML][HTML] Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects

L Shangerganesh, N Nyamoradi… - … & Mathematics with …, 2019 - Elsevier
This paper considers the nonlinear system of cancer invasion model with haptotaxis effects
in a bounded domain Ω⊂ R n under the homogeneous Neumann and Robin type boundary …

[PDF][PDF] Lower bounds for the finite-time blow-up of solutions of a cancer invasion model

L Shangerganesh, G Sathishkumar… - Electronic Journal of …, 2019 - real.mtak.hu
In this article, we consider non-negative solutions of the nonlinear cancer invasion
mathematical model involving proliferation and growth functions with homogeneous …

[HTML][HTML] Existence of tumor invasion model with mesenchymal and epithelial transition processes in variable exponent spaces

VND Mani, SM Anthoni - Partial Differential Equations in Applied …, 2021 - Elsevier
This work illustrate the solvability of the system consist of tumor cells of two types along with
epithelial cells and mesenchymal densities. The role of proteins matrix metalloproteinases …

Existence and optimal control analysis of acid-mediated tumor invasion model

PT Sowndarrajan - Advances in Differential Equations and …, 2023 - pphmjopenaccess.com
EXISTENCE AND OPTIMAL CONTROL ANALYSIS OF ACID-MEDIATED TUMOR
INVASION MODEL Page 1 Advances in Differential Equations and Control Processes © …

Solvability of the acid-mediated tumor growth model with nonlinear acid production term

VND Mani, S Karthikeyan, L Shangerganesh… - Journal of Elliptic and …, 2023 - Springer
The main goal of the paper is to establish the solvability of the 3D acid-mediated tumor
growth model combined with the Dirichlet and Neuman boundary conditions in the fractional …

Solvability of solid tumor invasion model

VN Deiva Mani, SM Anthoni, N Nyamoradi - Results in Mathematics, 2021 - Springer
We illustrate the solvability through weak-renormalized solutions for an invasion system of
healthy tissue by a solid tumor under the Dirichlet boundary conditions and the assumptions …

Blow-up phenomena of a cancer invasion model with nonlinear diffusion and haptotaxis term

L Shangerganesh, G Sathishkumar… - Bulletin of the Malaysian …, 2021 - Springer
In this paper, we consider a nonlinear cancer invasion mathematical model with
proliferation, growth and haptotaxis effects. We obtain lower bounds for the finite-time blow …

The Solvability of the Cancer Invasion System with the EMT and MET Processes

VND Mani, SM Anthoni - Discontinuity, Nonlinearity, and …, 2022 - lhscientificpublishing.com
This work deals with the existence of the system consists of coupling dynamics of the two
types of tumor cells among the density of epithelial cells (ECs) and the mesenchymal cells …