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216   CONTAMINANT UPTAKE BY PLANTS FROM SOIL AND WATER

              Most current models for plant uptake of contaminants from soil, water, or
           air are formulated on a differential mass-balance basis in terms of the rates of
           contaminant interface transfer, plant growth and transpiration, and contami-
           nant metabolism, along with some estimated transfer coefficients (Riederer,
           1990; Trapp et al., 1990; Paterson et al., 1994; Trapp and Matthies, 1995; Tam
           et al., 1996). Although these models are intended primarily for delineating the
           rates of contaminant uptake by plants (or their specific parts) with time from
           given external source(s), the model calculations are very sensitive to the accu-
           racy of assumed contaminant interface-transfer rates and coefficients. Alter-
           natively, equilibrium models have been utilized in some studies to assess
           contaminant levels in plants (or their parts) after their exposure to chemicals
           in water over a certain period of time (Briggs et al., 1982; Trapp, 1995).
           However, as shown later, the actual state of a contaminant in plants may or
           may not be at equilibrium with the external source.
              A quasiequilibrium partition model has recently been developed by Chiou
           et al. (2001) to account for the passive plant uptake of contaminants from their
           external sources in soil or water. The model takes explicit account of the plant
           contaminant level in relation to the source level and plant composition. More-
           over, the model contains both equilibrium and kinetic features and sets the
           upper (equilibrium) limit for the level of a contaminant in a plant with respect
           to the external-source level, against which the actual approach to equilibrium
           of the contaminant in the plant at the time of analysis can then be estimated.
           Although in the initial model testing by Chiou et al. (2001) the partition co-
           efficients of contaminants with certain plant components have had to be esti-
           mated, the observed consistency of the plant-uptake data with the conceived
           model parameters is stimulating to warrant further investigation. The essen-
           tial features of the model are presented below.


           8.3 THEORETICAL CONSIDERATIONS

           Consider first the simpler case of a partition-limited model for the plant
           uptake of nonionic contaminants from a soil-free nutrient solution by passive
           transport through the plant vascular system. Here water is both the solvent
           for the contaminant and the medium that carries it to plant roots (and to other
           water-contacted surfaces) and eventually to other parts of the plant via
           the plant vascular system. The overall plant uptake process is driven by the
           external-water concentration and is considered to consist of a series of parti-
           tion uptakes, with the understanding that the contaminant concentrations
           within the plant may or may not come to full equilibrium with the external
           water solution. On the other hand, for any given volume element inside the
           plant, local equilibrium is assumed for a contaminant between sap water and
           the various organic constituents within that volume element. With these con-
           siderations, the concentration of a contaminant either in the whole plant or in
           a specific part of the plant (C pt ), expressed as the mass of contaminant per unit
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