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Precipitation of protein by ultracentrifuge with angle rotor

Part 1: Model for sedimentation process

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Abstract

Precipitation of a protein by ultracentrifuge with an angle rotor was simulated by a model for sedimentation process. Assuming that the concentration of solute in an inclined ultracentrifugal tube is given by averaging the concentration in the imaginary horizontal tube, the governing equation describing the concentration in the rectangular-shaped tube with a uniform field of ultracentrifugal force for an inclined tube in an angle rotor was derived. The exact solution to this governing equation was obtained under the condition that the diffusion is absent or present. The dimensionless concentration which is reduced by the initial concentration can be expressed as the function of a dimensionless ultracentrifugal times ω 2 t in case that the diffusion is absent, and as the function of dimensionless parametersα andt *in case that the diffusion is present. From our first approximated model it is found that the precipitation of a protein by ultracentrifuge with an angle rotor proceeds more rapidly than that with a swing rotor whether diffusion is absent or present.

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Abbreviations

c kg/m3 :

concentration of solute

c 0 kg/m3 :

initial concentration of solute

c A kg/m3 :

concentration of solute for angle rotor

c s kg/m3 :

concentration of solute for swing rotor

D cm2/s:

diffusion coefficient

d cm:

diameter of ultracentrifugal tube

k 1 :

dimensionless constant

k 2 :

dimensionless constant

r cm:

radial coordinate

r 1 cm:

minimum radius of ultracentrifugal tube

r 2 cm:

maximum radius of ultracentrifugal tube

r m cm:

mean radius of ultracentrifugal tube

r s cm:

radius from which sedimentation starts

s s:

sedimentation constant

t s:

time

z cm:

vertical coordinate

α :

dimensionless parameter

α m :

dimensionless parameter

θ deg:

inclination of ultracentrifugal tube

ω s−1 :

angular velocity of rotation

References

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Authors and Affiliations

  1. Department of Bioengineering, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo

    N. Shiragami

  2. Department of Environmental Chemistry and Engineering, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, Japan

    T. Kajiuchi

Authors
  1. N. Shiragami
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  2. T. Kajiuchi
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Shiragami, N., Kajiuchi, T. Precipitation of protein by ultracentrifuge with angle rotor. Bioprocess Engineering 5, 85–88 (1990). https://doi.org/10.1007/BF00589150

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  • DOI: https://doi.org/10.1007/BF00589150

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