Mathematical model of 3H-2,4-D uptake by diffusion and influx, or by a combination of diffusion, influx and efflux. (A) In the presence of NPA, the active 3H-2,4-D efflux is assumed to be completely inhibited, while the active influx and diffusion of 3H-2,4-D are unaffected. Therefore, the mathematical representation of 3H-2,4-D flux by diffusion remains unchanged. In the case of an active influx, the flux of 3H-2,4-D is assumed to be proportional to the source (extracellular) concentration of dissociated 3H-2,4-D (i.e. a linear kinetics of influx carriers is assumed). The appropriate parameter—influx carrier activity of the membrane (k
Inf)—is again transformed into the cell-specific rate-constant k
I, the influx parameter, to obtain the final differential equation (3) of the model. (B) With no inhibitor present in the medium, all of the three transport mechanisms (i.e. diffusion, active influx, and active efflux) take part in the net uptake of 3H-2,4-D by the cell. Therefore, the contributions of all these three processes are combined in the final differential equation (4) of the model.