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    Centrifugation Theory and

    Practice

    Routine centrifuge rotors Calculation of g-force

    Differential centrifugation

    Density gradient theory

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    Centrifuge rotors

    Fixed-angle

    axis of rotation

    At rest

    Swinging-bucket

    g

    Spinning g

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    Geometry of rotors

    b c

    rmax

    rav

    rmin

    rmax

    rav

    rmin

    Sedimentation path length

    axis of rotation

    a

    rmax rav rmin

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    k-factor of rotors

    The k-factor is a measure of the time taken for aparticle to sediment through a sucrose gradient

    The most efficient rotors which operate at a high

    RCF and have a low sedimentation path lengththerefore have the lowest k-factors

    The centrifugation times (t) and k-factors for two

    different rotors (1 and 2) are related by:

    2

    21

    1

    k

    tkt

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    Calculation of RCFand Q

    2

    1000

    18.11

    QrxRCF

    r

    RCFQ 299

    RCF = Relative Centrifugal Force (g-force)

    Q = rpm; r = radius in cm

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    RCF in swinging-bucket and

    fixed-angle rotors at 40,000 rpm

    Beckman SW41 swinging-bucket (13 ml)

    gmin= 119,850g; gav= 196,770g; gmax= 273,690g

    Beckman 70.1Ti fixed-angle rotor (13 ml)

    gmin= 72,450g; gav= 109,120g;

    gmax= 146,680g

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    gd

    v lp

    18

    )(2

    Velocity of sedimentation of a particle

    v = velocity of sedimentation d = diameter of particle

    p= density of particle l= density of l iquid

    = viscosity of l iquidg = centr ifugal force

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    Differential centrifugation

    Density of liquid is uniform

    Density of liquid

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    Size of major cell organelles

    Nucleus 4-12 m

    Plasma membrane sheets 3-20 m

    Golgi tubules 1-2 m

    Mitochondria 0.4-2.5 m

    Lysosomes/peroxisomes 0.4-0.8 m Microsomal vesicles 0.05-0.3m

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    Differential centrifugation of a

    tissue homogenate (I)

    1000g/10 min

    Decant

    supernatant

    3000g/10 minetc.

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    Differential centrifugation of a

    tissue homogenate (II)1. Homogenate1000g for 10 min

    2. Supernatant from 13000g for 10 min

    3. Supernatant from 215,000g for 15 min

    4. Supernatant from 3100,000g for 45 min

    Pellet 1nuclear

    Pellet 2heavy mitochondrial

    Pellet 3light mitochondrial

    Pellet 4microsomal

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    Differential centrifugation (III)

    Expected content of pellets

    1000g pellet: nuclei, plasma membrane

    sheets 3000g pellet: large mitochondria, Golgi

    tubules

    15,000g pellet: small mitochondria,lysosomes, peroxisomes

    100,000g pellet: microsomes

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    Differential centrifugation (IV)

    Poor resolution and recovery because of:

    Particle size heterogeneity

    Particles starting out at rminhave furthest to

    travel but initially experience lowestRCF

    Smaller particles close to rmaxhave only a

    short distance to travel and experience the

    highestRCF

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    Differential centrifugation (V)

    Fixed-angle rotor:

    Shorter sedimentation path

    length

    gmax> gmin

    Swinging-bucket rotor:

    Long sedimentation path length

    gmax>>> gmin

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    Differential centrifugation (VI)

    Rate of sedimentation can be modulated byparticle density

    Nuclei have an unusually rapid

    sedimentation rate because of their sizeAND high density

    Golgi tubules do not sediment at 3000g, inspite of their size: they have an unusuallylow sedimentation rate because of their verylow density: (p- l) becomes rate limiting.

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    Density Barrier Discontinuous Continuous

    Density gradient centrifugation

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    How does a gradient separate

    different particles?

    Least dense

    Most dense

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    g

    d

    v lp

    18

    )(2

    When p> l: v is +veWhen p= l: v is 0

    Predictions from equation (I)

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    g

    d

    v lp

    18

    )(2

    When p< l: v is -ve

    Predictions from equation (II)

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    Summary of previous slides

    A particle will sediment through a

    solution if particle density > solution

    density

    If particle density < solution density,

    particle will float through solution

    When particle density = solution density

    the particle stop sedimenting or floating

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    Buoyant densitybanding

    Equilibriumdensity banding

    Isopycnic

    banding

    1

    5

    2

    3

    4

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    1

    2

    3

    3 Formats for separation of particles according

    to their density

    When density of particle < density of l iquid V is -ve

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    Discontinuous

    Resolution of density gradients

    ContinuousDensity Barrier

    I II

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    Problems with top loading

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    p

    >>l

    : v is +ve

    for al l particles

    throughout the

    gradient

    Separation of particles according to size