(University of Eloued جامعة الوادي, 2019-04-23) Djellab, Nadjate; Boureghda, A.
we consider the oxygen di usion problem where the injection of oxygen into
a sick cell and di usion of the injected oxygen inside the cell. The problem
mathematically formulated through two di erent steps. At the rst stage, the
stable case having no oxygen transition in the isolated cell is searched while at
the second stage the moving boundary of oxygen absorbed by the tissues in the
cell is searched. In this study, trace of moving boundary of the oxygen di usion
problem is determined using constrained integral method, the pro le of moving
boundary is determined by third order polynomial.