Biomedical Engineering Reference
In-Depth Information
Figure 9.28
Comparison between calculation of trajectory and concentration contours, showing
that the “determinist trajectory” is the center line of the concentration contours. In the figure on
top, the trajectory is the cubic curve given by (6.18), below the trajectory is obtained by a first-order
predictor-corrector scheme. The channel width is 100
μ
m and the average fluid velocity 0.1 mm/s.
Particles have a radius of 1.4
μ
m and a magnetic susceptibility of 0.2. They are submitted by the
magnetic gradient to a force of 3.45 pN.
Figure 9.29
Two different families of trajectories for two different types of beads. In both cases, the
starting point is the same, but the particles on the figure at the top have a magnetic susceptibility
of 0.2 whereas those in the lower figure have a susceptibility of 0.8. One can verify that the relation
(9.40) is also verified in the case of the numerical calculation of the trajectories.
