I am reading Dennis M. Brown “Drug Delivery Systems in Cancer”. On Page 29 when referring to monotonic increase or decrease of n (being the number of cells n(t) I believe) then how are they getting
AUC50 = T(1-1/n)
I get how it equal k(1/n) because we just raise each side of equation IC50n * T = k to the 1/n power but not getting the the double equality here.
The relationship between IC50 and AUC50 occurs when n = 1 in (IC50)n * T = k which reduces to AUC50 = k, meaning effect only depends on AUC.