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Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application
(Tianjin Polytechnic University, 2018)
In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chemotherapy
application of spatial tumor-host interaction is considered. At some certain parameters, we derive the steady
state ...
Efficient numerical method for a model arising in biological stoichiometry of tumor dynamics
(American Institute of Mathematical Sciences, 2019)
In this paper, we extend a system of coupled first order non-linear system of delay differential equations (DDEs) arising in modeling of stoichiometry of tumour dynamics, to a system of diffusion-reaction system of partial ...
A fitted operator method for a model arising in vascular tumor dynamics
(Tianjin Polytechnic University, 2020)
In this paper, we consider a model for the population kinetics of human tumor cells in vitro, differentiated
by phases of the cell division cycle and length of time within each phase. Since it is not easy to isolate ...
A fitted numerical method for a model arising in HIV-related cancer-immune system dynamics
(Tianjin Polytechnic University, 2019)
The effect of diseases such as cancer and HIV among our societies is evident. Thus, from the mathematical
point of view many models has been developed with the aim to contribute towards understanding the dynamics
of ...
A fitted operator method for tumor cells dynamics in their micro-environment
(Tianjin Polytechnic University, 2019)
In this paper, we consider a quasi non-linear reaction-diffusion model designed to mimic tumor cells’
proliferation and migration under the influence of their micro-environment in vitro. Since the model can be used
to ...
Numerical solution for a problem arising in angiogenic signalling
(American Institute of Mathematical Sciences, 2019)
Since the process of angiogenesis is controlled by chemical signals, which stimulate
both repair of damaged blood vessels and formation of new blood vessels, then other chemical
signals known as angiogenesis inhibitors ...