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Changes in internal volume of the beads were calculated from the changes in concentration of this molecule as water moved into and out of the pores of the beads with time [29], [30].
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The mean water loss from the beads was calculated from the following equation, W_{text{l}}, % =, [(W_{text{o}} - W_{text{d}} )/W_{text{o}} ] times 100 where W 0 is the initial weight before drying and W d represents the final weight after drying.
Porosity of the calcium alginate beads was calculated from the density of the alginate and the weight change before and after drying [1]; the following formula was applied: ε = W W − W D / ρ W W D / ρ AL + W W − W D / ρ W, Open image in new window (11).
The hydration of the beads was calculated from the radial distribution function of water beads around each glycerol backbone bead (Fig. 4b).
The z position of a motor-coated bead was calculated from the calibration curve.
The bead intensity profile was fitted with a third order polynomial function and the z position of the bead was calculated from the calibration curve.
The force F exerted on the bead was calculated from the Hooke's law: F = k.Δx, where k is the stiffness of the trap (k = 60 pN.μm−1) and Δx the displacement of the bead from its equilibrium position.
The mean and s.d. of the remaining beads were calculated.
The values of pseudo-first-order and pseudo-second-order rate constants for the removal of atrazine by adsorption on alginate-stabilized AgNPs beads at room temperature were calculated from the straight line plots of Fig. 6a, b.
Average background intensities were calculated from designated background and address only beads.
Both the moving direction and speed of the fluid streamlines were calculated from the tracks of the polystyrene beads on the images.
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