IFNB1 and neoplasm: We found that JAK2 and mutual antagonism between STAT1 and STAT3 play a major role in regulation of the apoptosis and anti-apoptotic status in cancer cells, thus tumour growth dynamics, and obtained the optimal injection strategies of both JAK2 inhibitors and IFN-β by minimizing costs and maximizing anti-tumour efficacy through an optimal control theory.