Tumor uptake as a function of tumor mass: a mathematic model.

Inverse correlations of tumor uptake (u), measured in percent injected dose per gram, with tumor mass (m) are demonstrated for phospholipid vesicle, nonspecific and specific monoclonal antibody tracers. Correlation coefficients implied u = B mA in 11 different animal experiments. Experimental exponent (A) values lay in the range -0.28-0.64 with a mean of -0.43 while intercept (B) values varied from 3 to 18. Spherical and cylindrical tumor models implied exponents of -0.33 and -0.5, respectively. Comparison of three implantation sites of the human LS174T xenograft revealed a narrow range of exponents (-0.38- -0.46) indicating a consistent geometry for this tumor. Blood flow to the lesion site and inside its volume (as dictated by tumor size) are factors in tumor uptake. Our results indicate that biodistribution data should include the variation of tumor uptake with mass. For less than 10 g lesions, we predict that radiation absorbed dose will be highly dependent upon tumor size.