Binding constants were derived by fitting the model, which combines a diffusion equation with a competitive Michaelis-Menten equation (Eq. 7), to the observed data. sd of parameter estimates (in parentheses) was calculated from the correlation matrix, using the SolverAid macro from de Levie (1999). The model R2 (calculated as 1 − SSE/SSTO, with SSE the error sum of squares and SSTO the total sum of squares of log-transformed uptake fluxes) was 0.90 for Cd, 0.94 for Zn, and 0.97 for Ni. n = Number of data points.