In this work we study the global dynamics of the tumorangiogenesis developed by Louise Viger using the Localizationof Compact Invariant Sets. This model describes thebehavior and interactions of the population of host, effector, tumor and endothelial cells. We defined the upper andlower bounds for the cell populations. These bounds containall dynamics of the state variables for any initial conditionalso we defined conditions for the convergence to thetumor free equilibrium point and we present the simulationof the system under these conditions.
Global Dynamics of the Angiogenesis in a Tumor-Immune System Model
2015-11-01
295770 byte
Conference paper
Electronic Resource
English
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