Clearing factor

Abstract: The goals of the centrifugation of cell suspensions are to obtain the maximum yield of cells with minimum adverse effects of centrifugation. In the case of mechanically sensitive cells such as mouse sperm, the two goals are somewhat contradictory in that g-forces sufficient to achieve high yields are damaging, and g-forces that yield high viability produce low yields. This paper mathematically analyzes the factors contributing to each goal. The total yield of pelleted cells is determined by the sedimentation rate governed by Stokes' Law, and depends on the relative centrifugal force, centrifugation time, size and shape of the cells, density of the cells and medium, viscosity of the medium, and the length of the column of suspension. Because in the situation analyzed the column is short relative to the rotor radius, the analysis considers the centrifugal field to be quasi-homogeneous. The assumption is that cells are not damaged during sedimentation, but that they become injured at an exponential rate once they are pelleted, a rate that will depend on the specific cell type. The behavior is modeled by the solution of coupled differential equations. The predictions of the analysis are in good agreement with experimental data on the centrifugation of mouse sperm.

Abstract: 1. A description is given of the construction details and operation characteristics of an improved type of air-driven ultracentrifuge operating in vacuum and suitable for the determination of sedimentation constants of protein molecules. 2. The rotor of the centrifuge is made of a forged aluminum alloy; it is oval in shape, measures 185 mm. at its greatest diameter, and weighs 3,430 gm. It carries a transparent cell located at a distance of 65 mm. from the axis of rotation and designed to accommodate a fluid column 15 mm. high. 3. The rotor has been run repeatedly over long periods at a speed of 60,000 R.P.M., which corresponds to a centrifugal force of 260,000 times gravity in the center of the cell. At this speed no deformation of the rotor nor leakage of the cell has been observed. 4. The sharp definition of sedimentation photographs taken at high speed serves to indicate the absence of detectable vibrations in the centrifuge. 5. When a vacuum of less than 1 micron of mercury is maintained in the centrifuge chamber, the rise in the rotor temperature amounts to only 1 or 2°C. after several hours' run at high speed. 6. There has been no evidence of convection currents interfering with normal sedimentation of protein molecules in the centrifugal field. 7. A driving air pressure of about 18 pounds per square inch is sufficient to maintain the centrifuge at a steady speed of 60,000 R.P.M. With a driving pressure of 80 pounds per square inch, it can be accelerated to this speed in less than 20 minutes, and also brought to rest in about the same length of time by the application of the braking system. 8. The adaptation of Svedberg's optical systems to this centrifuge for photographically recording the movement of sedimentation boundaries is described.