## Abstract

For successful use of monoclonal antibodies and their conjugates for diagnosis and therapy, it is helpful to understand both macroscopic and microscopic aspects of antibody distribution. Antibody distribution in a tumor is simulated by splicing together information on global pharmacokinetics, transport across the capillary wall, diffusive penetration through the tumor interstitial space, and antigen-antibody interaction. One interesting implication of this simulation is a microscopic dosimetry for radioimmunotherapy. The information of microscopic radioconjugate distribution will enable us to calculate absorbed dose in a tumor at the microscopic scale. The first step is to simulate the spatial antibody concentration profile in a tumor as a function of time after intravenous (bolus) injection, using reasonable values for the parameters involved. The second step is to calculate, also as a function of time, the absorbed radiation dose distribution resulting from each concentration profile. Parameter values for IgG pharmacology and a radiation point source function for I-131 are used to explore the effect of affinity on the antibody distribution and consequent absorbed dose in the tumor. The geometry simulated corresponds to a spherical nodule of densely packed tumor cells. Absorbed doses are calculated for radiation from a single nodule and for a cubic lattice of such nodules. This modeling analysis demonstrates that 1) antigen-antibody binding in tumors can retard antibody percolation; 2) high antibody affinity at a given dose tends to decrease antibody percolation and result in a heterogeneous distribution; 3) heterogeneous antibody distribution results in heterogeneous absorbed dose. This is more apparent in the case of radiation from a single nodule or small tumors. PERC and PERC-RAD, the computer program packages developed for these analyses, provide a convenient and flexible way to assess the impact of macroscopic and microscopic parameters on the distribution of immunoconjugates (PERC) and the consequent absorbed radiation dose in tumors (PERC-RAD). This mathematical model and the general principles developed here can be applied as well as to other biological ligands and beta-emitters.

Original language | English |
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Pages (from-to) | 369-384 |

Number of pages | 16 |

Journal | [Hokkaido igaku zasshi] The Hokkaido journal of medical science |

Volume | 66 |

Issue number | 3 |

Publication status | Published - 1991 May |

Externally published | Yes |

## ASJC Scopus subject areas

- Medicine(all)