Table 1.

Human physical parameters encountered in magnetic drug delivery. (Essential quantities needed for the sub-sequent non-dimensionalization are bolded.)

Parameter	Symbol	Parameter Range
Particle Radius	a	1 nm – 5 μm
Distance from Magnet	d	1 mm – 30 cm
Magnetic Field Strength(or Magnetic Intensity)	|B⃑| |H⃑|	0.1 – 1.5 T 8 × 104 – 1.2 × 106 A/m
Magnet Length	LM	1 - 30 cm
Magnetic Drift Velocity	|V⃑R|	9 × 10-15 m/s – 3.8 × 10-4 m/s
Magnetic Force on a Particle	|F⃑M|	5 × 10-25 – 1.1 × 10-11 N
Maximum Centerline Blood Velocity	VB max	0.5 mm/s – 40 cm/s
Vessel Diameter	dB	7 μm – 3 cm
Blood Viscosity	η	0.003 Pa s
Centerline Stokes Drag on a Particle	|F⃑S|	3 × 10-14 – 1.1 × 10-7 N
Temperature	T	310 K (body temperature)
Brownian Diffusion Coefficient	DB	1 × 10-14 - 1 × 10-12 m2/s
Scattering Diffusion Coefficient	DS	3.5 × 10-12 - 6 × 10-10 m2/s
Total Diffusion Coefficient (in blood)	DTot	1 × 10-14 – 6 × 10-10 m2/s
Diffusion Coefficient (in membrane)	DM	0 (if particles larger than pores) - 1.5 × 10-12
Diffusion Coefficient (in tissue)	DT	0 (if particles larger than interstitial spaces) - 1.2 × 10-14