Mathematical model for studying the effect of one-step individual multiple fractions in cancer treatments optimization

Abstract EN

As connection with our previous publication, we have reported the application of a mathematical model for one–step with multiple fractions in cancer treatment optimization [1, 2].

in addition to the correction and extending for some previously calculated, we studied the important role of the initial tumor cell density on optimization results.

we found similar behavior with different values but not equivalent.

in this paper we present more physically reasonable new cases of (1-step) radiation profiles during the two fractions, three fractions, … , i fractions.

by examining cases and expansion on the results by using the partial differential equation models which solved by using computational methods (MATLAB, we have obtained a great results.

finally we have compared different cases of one-step i.e.

with individual multiple fractions in mathematical models of cancer treatments optimization.