Magnetic Cell Separation by M. Zborowski and J. J. Chalmers (Eds.)

By M. Zborowski and J. J. Chalmers (Eds.)

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34), characteristic of the field‐induced displacement of the deoxygenated erythrocytes in the high gradient magnetic field, are as follows: R ¼ 2 mm the erythrocyte radius V ¼ 3:35  10À17 m3 wdeoxy ðCGSÞ ¼ À0:454  10À6 the erythrocyte volume deoxygenated erythrocyte susceptibility wH2 O ðCGSÞ ¼ À0:720  10À6 DwðCGSÞ ¼ 0:266  10À6 Dw ¼ 3:35  10À6 ðSIÞ r ¼ 1:15  103 Dr ¼ 0:15  103 kg m3 water susceptibility net susceptibility of deoxygenated erythrocyte in water as above but in the SI units system kg m3 the erythrocyte density difference between the erythrocyte and water density D ¼ 1:10  10À13 m2 s erythrocyte diffusion coefficient ½from Eq: ð1:28Þ; at 293 KŠ  ¼ 10À3 Pa s solution viscosity at room temperature; RT ¼ 293 K B0 ¼ 1 T magnetic field dB0 T ¼ 100 dx m magnetic field gradient 20 MAGNETIC CELL SEPARATION B0 A magnetic field strength ¼ 796;000 m m0 m g ¼ 9:81 2 standard gravitational acceleration s t ¼ 10 min ¼ 600 s H ¼ Substitution of the above numerical values to Eqs.

Inspired by OberteuVer [45]. 26 MAGNETIC CELL SEPARATION References [1] Purcell, E. M. (1985). Electricity and magnetism. Berkeley Physics Course— Volume 2. McGraw‐Hill, New York. [2] Feynman, R. , Leighton, R. B. and Sands, M. (1977). Lectures on physics: Mainly electromagnetism and matter. Addison‐Wesley, Reading, MA. [3] Becker, R. (1982). Electromagnetic fields and interactions. , New York. [4] Stratton, J. A. (1941). Electromagnetic theory. McGraw‐Hill, New York. [5] Cullity, B. D. (1972).

The paramagnetic atoms behave as elementary magnetic dipoles, randomly oriented in space in the absence of the external magnetic field. V. 109 Â 10À31 kg is the electron mass. In the CGS system of units, mB % 9:274 Â10À21 ðerg=GÞ. The Langevin theory of paramagnetism applies to an ideal gas of magnetic dipoles in thermal equilibrium with the environment using methods of classical statistical mechanics. The theory is successful in predicting magnetization and magnetic susceptibility of gases (such as oxygen) and solutions.

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