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| In this talk, we consider a spatio-temporal mathematical model which describes the spatial interaction of macrophages, tumor cells, normal tissue cells, and chemoattractants. The ODE model[1] is extended to a diffusive model with the directed movement of macrophage to represent the chemotaxis between macrophage and chemoattractant. We examine the effects of chemotaxis of macrophage by chemicals such as MCP-1 secreted by tumor cells. In particular, the change of density of tumor and macrophage is investigated by using various coefficients of the chemotaxis by means of chemoattractant. Numerical simulations for tumor and macrophage in two dimension are provided under various scenarios on the coefficient of directed movement.
[1] Macrophage-Tumor interactions: In vivo dynamics, H.M.Byrne, S.M.Cox, C.E.Kelly, DCDS-B 4(1):81-98 2004 |
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