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Drug Percolation in Tumors

 

By Rupak K. Banerjee, University of Cincinnati, Cincinnati, OH; Cynthia Sung, Human Genome Sciences, Inc., Rockville, MD; Peter M. Bungay and Robert L. Dedrick, National Institutes of Health, Bethesda, MD; and William W. van Osdol, ALZA Corporation, Mountain View, CA

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Absorption of monoclonal antibody (top) and its binding with tumor antigens (bottom) in a spherical tumor. At tstarting, the mAb has penetrated into the normal tissue and is beginning to enter the tumor and bind with the Ag. After 12 hours, the level of mAb in the normal tissue is maximum, and binding inside the tumor is nearly complete. After 24 hours, the level of mAb in the normal tissue and tumor has reduced, and the binding to Ag in the tumor is complete.

A joint imaging and therapy study has been performed that examines a new technique for delivering systemically-administered drugs to tumors embedded in normal tissue. The simple, antibody-based protocol labels a monoclonal antibody (mAb) with a radionuclide. The radiolabeled mAb is injected into the bloodstream of the patient. Carried to the site by the blood plasma, the mAb diffuses into the interstitial volume of the nodule, where it targets and binds with tumor antigens (Ag). Excess mAb diffuses out of the tumor nodule and is removed from the surrounding normal tissue by the lymphatic system capillaries.

A 3D FiDAP simulation of this process was performed using a spherical tumor nodule immersed in a region of normal tissue. Species transport equations were solved to track the transient concentrations of the mAb, the tumor Ag, and the mAb-Ag complex, created after the mAb binds with the Ag inside the tumor region. Sources and sinks in the species equations included both diffusion (into and out of the tumor) and reaction (inside the tumor). The results have helped explain how diffusive gradients in the normal tissue affect mAb percolation (spread and consumption) in the tumor. One of the goals of the FiDAP simulations was to test the degree of approximation in earlier models that were limited to the tumor nodule alone. Based on the choice of boundary conditions on the tumor surface, the earlier models either overor under-predicted the mAb percolation in the tumor. The FiDAP results clearly showed that a simulation that incorporates mAb transport in both the normal and tumor tissue is needed for the most accurate prediction of percolation time.1

FiDAP was also used to explore the influence of mAb diffusivity and dose on the time course of mAb distribution in the tumor. Calculations were performed using the experimental values of mAb diffusivity measured by Clauss and Jain2 and Berk et al.3, the latter being larger by a factor of about thirty. When the low diffusivity values were used, the time needed for the mAb to reach the center of the tumor nodule and attain its maximum average concentration was significantly longer than when the high diffusivity values were used. Lower diffusivities were also associated with lower peak levels of mAb.

If the higher mAb diffusivity measurements are more accurate, this has important implications for imaging and therapy. High mAb diffusivity may produce higher tumor concentrations at earlier times than low diffusivities, but the mAb concentration in the surrounding normal tissue is higher as well, making detection more difficult. In addition, at later times, mAb efflux from the tumor is more rapid, potentially compromising therapy. The question also arises whether higher diffusivity permits the use of lower antibody doses. This possibility must be weighed carefully, because absorption in organs of high capacity places limits on how much the dose can effectively be reduced. Though more research is needed, it is clear that these studies have shed new light on how antibodies are absorbed for the detection and treatment of tumors.

References:

  1. R.K. Banerjee, C. Sung, P.M. Bungay, R.L. Dedrick and W.W. van Osdol, Annals of Biomedical Engineering, 30, p. 828-839, 2002.
  2. M.A. Clauss and R.K. Jain, Cancer Res. 50, p. 3487- 3492, 1990.
  3. D.A. Berk, F. Yuan, M. Leunig and R.K. Jain, Proc. Natl. Acad. Sci. USA. 94, p. 1785-1790, 1997.

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