Solis-perez2019 - A fractional mathematical model of breast cancer competition model

ABSTRACT:

A fractional mathematical model of breast cancer competition modelAuthor links open overlay panelJ.E.Solís-PérezaJ.F.Gómez-AguilarbA.Atanganaca    Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Méxicob    CONACyT-Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Méxicoc    Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South AfricaAbstractIn this paper, a mathematical model which considers population dynamics among cancer stem cells, tumor cells, healthy cells, the effects of excess estrogen and the body’s natural immune response on the cell populations was considered. Fractional derivatives with power law and exponential decay law in Liouville–Caputo sense were considered. Special solutions using an iterative scheme via Laplace transform were obtained. Furthermore, numerical simulations of the model considering both derivatives were obtained using the Atangana–Toufik numerical method. Also, random model described by a system of random differential equations was presented. The use of fractional derivatives provides more useful information about the complexity of the dynamics of the breast cancer competition model.

ORGANISM(S): Homo sapiens

SUBMITTER: Lucian Smith 

PROVIDER: MODEL1912180005 | biostudies-other |

SECONDARY ACCESSION(S): 10.1016/j.chaos.2019.06.027

REPOSITORIES: biostudies-other