In this work, we consider the following variables in a mathematical model:C(t)=density of the N2 complex at time t;I(t)=density of the N1 complex at time t;T(t)=tumour volume at time t;G(t)=concentration of TGF-β at time t;L(t)=concentration of TGF-β inhibitor at time t;S(t)=concentration of IFN-β at time t;In this study, regulation of N1 and N2 TANs is explored through TGF-β inhibitor and IFN-β controls in the framework of optimal control theory having the objective of minimizing the tumour size with least drug administration cost. This evidence concerns the gene TGFB1 and neoplasm.