Dear Mark, In previous version we computed the magnetic force, then calculated acceleration then the speed increment. In other words we took into account the inertia. The already calculated results indicate that the particle gains the steady speed fast. So I have simplified the calculation algorithm - the inertia is ignored now. The particle reaches the steady speed instantly. That allows to decrease the number of calculation steps drastically. So I was able to compute the particle trajectory for a longer distance. I simulated the case of k=1 (saline). The particle traveled about 45 cm in 15 seconds and almost reached the coil. Initially the speed was 2.2 cm/sec (on February 17 we have computed 2.1 cm/sec). Then the speed increases as the particle moves toward the coils. Please see the picture and pdf-file attached. Modifications took 1.5 hours (calculations ran on a spare computer with zero time cost). Next I will calculate for the k=1000 and k=10000 (drag force ratio tissue to saline). Best regards, Alex