Considerable research has been aimed at improving the efficacy of chemother
apeutic agents for cancer therapy. A promising two-step approach that is de
signed to minimize systemic drug toxicity while maximizing activity in tumo
rs employs monoclonal antibody-enzyme conjugates for the activation of anti
-cancer prodrugs. A mathematical model based on the biology of human 3677 m
elanoma xenografts in nude mice is presented, analyzed, and numerically sim
ulated to study the biodistribution, pharmacokinetics, and intratumoral loc
alization properties of L49-beta-lactamase fusion proteins in solid tumor m
asses. The model predictions were compared with published experimental data
and an excellent correlation was found to exist.
Analytic expressions for the total concentration of conjugate in the tumor,
the time at which the concentration is maximal, and the halflife of conjug
ate in the tissue were derived. From these results, key parameters were iso
lated; and the effects of the tumor vasculature, binding kinetics, and admi
nistration schedule were investigated. The antibody-antigen dissociation ra
tio, the conjugate permeability, and the intercapillary half distance withi
n the tumor mass were found to strongly influence localization and retentio
n in the tumor. The model was used to examine various dosing strategies in
an attempt to determine which regimen would provide the best biodistributio
n results. The results of administering a uniform dose of conjugate via bol
us injection, multiple injections, and continuous infusion were compared. T
he model predicts that when saturation of binding sites does not occur, dos
ing strategy has little effect on the amount of conjugate that localizes in
the tumor.