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The rate of drug delivery to cells and the subsequent rate of drug metabolism are dependent on the cell membrane permeability to the drug. In some cases, tissue may be composed of different types of cells that exhibit order of magnitude differences in their membrane permeabilities. This paper presents a brief review of the components of the tissue scale three-compartment pharmacokinetic model of drug delivery to single−cell−type populations. The existing model is extended to consider tissue composed of two different cell types. A case study is presented of infusion mediated delivery of doxorubicin to a tumor that is composed a drug reactive cell type and of a drug resistive cell type. The membrane permeabilities of the two cell types differ by an order of magnitude. A parametric investigation of the population composition is conducted and it is shown that the drug metabolism of the low permeability cells are negatively influenced by the fraction of the tissue composed of the permeable drug reactive cells. This is because when the population is composed mostly of drug permeable cells, the extracellular space is rapidly depleted of the drug. This has two compounding effects: (i) locally there is simply less drug available to the neighboring drug resistant cells, and (ii) the depletion of the drug from the extracellular space near the vessel-tissue interface leaves less drug to be transported to booth cell types farther away from the vessel.

A model is proposed describing multiple binding of multivalent antigen to specific receptors of immunocompetent cells. The rate at which these multiple bonds can dissociate and the effective valence of the antigen appear to be of the greatest importance in determining the degree of receptor occupancy at equilibrium. In particular, as antigen concentration decreases, only antigens with high number of determinants per molecule maintain the ability to form multiple bonds even if the dissociation rate is relatively high. Assuming that multiple binding is directly linked to lymphocyte activation, this may result in an inverse relation between antigen valence and ability to induce selection of clones with higher affinities.