  In this paper we present a study of local dynamics of the growth of cancer
tumor and healthy cells considering the presence of nutrients in the system. We
also analyze the evolution of system if we take indirectly into account the
level of alkalinity (pH) in the system which shows that influences in tumor
growth. The model consists in a set of differential equations of first order
that involves a mechanical model added by a pair of differential equations for
local oxygen and glucose.
