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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 ...
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 ...