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A model of tumor growth that interacts
with the immune system is introduced.
This model considers three main
compartments: proliferative tumor
cells, quescent tumor cells, and
the immune system. The proliferating
tumor cells are in turn divided
into two others sub-compartments
(tumor cells during interphase and
mitosis) to take into account the
cell cycle. We show that the system
exhibits a tumor free fixed point,
and the conditions fot its stability
are stablished. Conditions for the
existence and stability of coexisting
fixed points are also provided.
Numerical simulations with and without
quescent are shown, as wll as the
sensibility analysis of the model's
parameters.
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