For women with breast cancer, IL6 (b = 2.469, 95% CI [− 7.614, 12.552], p = 0.631) and TNFα (b = 0.036, 95% CI [− 6.345, 6.418], p = 0.991) were not statistically significant moderators of the effect of exercise intensity on changes in muscle strength (Table 2, Model 1.2). This evidence concerns the gene TNF and breast carcinoma.