A fitted operator method for a model arising in vascular tumor dynamics

dc.contributor.authorKolade, Owolabi
dc.contributor.authorKailash, Patidar
dc.contributor.authorShikongo, Albert
dc.date.accessioned2020-06-04T15:19:17Z
dc.date.available2020-06-04T15:19:17Z
dc.date.issued2020
dc.description.abstractIn 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 the effects of cancer treatment on the cell cycle of human cancer lines, during the process of radiotherapy or chemotherapy, therefore, we include the spatial effects of cells in each phase and analyse the extended model. The extended model is not easy to solve analytically, because perturbation by cancer therapy causes the flow cytometric profile to change in relation to one another. Hence, making it difficult for the resulting model to be solved analytically. Thus, in [16] it is reported that the non-standard schemes are reliable and propagate sharp fronts accurately, even when the advection, reaction processes are highly dominant and the initial data are not smooth. As a result, we construct a fitted operator finite difference method (FOFDM) coupled with non-standard finite difference method (NSFDM) to solve the extended model. The FOFDM and NSFDM are analyzed for convergence and are seen that they are unconditionally stable and have the accuracy of O(Dt +(Dx)2), where Dt and Dx denote time and space step-sizes, respectively. Some numerical results confirming theoretical observations are presented.en_US
dc.identifier.citationKolade, M. 2020. A fitted operator method for a model arising in vascular tumor dynamics. Commun. Math. Biol. Neurosci. 2020:4. doi: https://doi.org/10.28919/cmbn/4069en_US
dc.identifier.urihttps://doi.org/10.28919/cmbn/4069
dc.identifier.urihttp://hdl.handle.net/10566/5221
dc.language.isoenen_US
dc.publisherTianjin Polytechnic Universityen_US
dc.subjectCytometric dynamicsen_US
dc.subjectStability analysisen_US
dc.subjectFitted operator methoden_US
dc.subjectCell cycleen_US
dc.titleA fitted operator method for a model arising in vascular tumor dynamicsen_US
dc.typeArticleen_US

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