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Global Classical Solutions to a Doubly Haptotactic Cross-diffusion System Modeling Oncolytic Virotherapy
, M.Sc. Thesis Sharif University of Technology ; Hesaraki, Mahmoud (Supervisor)
Abstract
This thesis studies a haptotaxis system proposed as a model for oncolytic virotherapy , accounting for interaction between uninfected cancer cells , infected cancer cells , extracellular matrix (ECM) and oncolytic virus . In addition to random movement , both uninfected and infected tumor cells migrate haptotactically toward higher ECM densities; moreover , besides degrading the non-diffusible ECM upon contact the two cancer cell populations are subject to an infection-induced transition mechanism driven by virus particles which are released by infected cancer cells ,and which assault the uninfected part of the tumor .The main results assert global classical solvability in an associated...
Casson fluid flow with heat and mass transfer in a channel using the differential transform method
, Article Kuwait Journal of Science ; Volume 49, Issue 1 , 2022 , Pages 1-19 ; 23074108 (ISSN) ; Ali, K ; Ashraf, M ; Sharif University of Technology
University of Kuwait
2022
Abstract
In the present investigation, we consider the heat and mass transfer characteristics of steady, incompressible and electrically conducting Casson fluid flow in a channel. The effect of chemical reactions have also been considered. The differential transform method (DTM) is applied to a system of non-linear ODEs, and the results are obtained in the form of DTM series. The principal gain of this approach is that it applies to the non-linear ODEs without requiring any discretization, linearization or perturbation. The velocity, mass and heat transfer profiles thus obtained are in good agreement with those provided by the quasi-linearization method (QLM). Graphical results for velocity,...