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CENTRIFUGAL FORCE & PRINCIPLE OF SEDIMENTATIONS

CENTRIFUGATION
Centrifugation is a method for separating biomolecules from each other  in a solution. This is done by subjecting a biological sample to an intense force by spinning the sample at high speed. The application of this technique range from collection & separation of cells, organelles & molecules to the study of molecular weights of macromolecules.

Centrifugation is a technique, in which the gravitational force on a particle is increased to effect its sedimentation . sedimentation of particle depends on, the density of the particle, the size of the particles & the viscosity of the medium. The gravitational force under normal condition is 980 cm/sec2 i.e., equal to one ‘g’ unit.

Heavier particles sedimented quickly due to greater gravitational pull on them. But lighter particles that do not sediment easily can also be sediment quickly by subjecting them to higher gravitational force. Centrifuges are used to increase the gravitational forces on particles.

CENTRIFUGAL FORCE & PRINCIPLE OF SEDIMENTATIONS
         
          Centrifugal force, as defined by Isaac Newton, is the tendency of any rotating object to move away from its center of rotation. The opposing force is known as centripetal force, which is directed towards the centre of rotation.
         
Therefore , the centrifugal force on an object mainly depends on the mass of the object & the velocity or speed of rotation.

In vacuum, centrifugal for F=ω2r
ω   =   its angular velocity
r    =   radius of rotation
in any medium other than vacuum, the centrifugal force is opposed by two opposing forces:
Buoyant force – Tendency of particles to float
Force of viscous drag – Friction developed by the viscosity of the medium  
           
Types of Rotors
          The rotors are the important components of the centrifuges. Three types of centrifuges are used in the centrifuges.
i.               Fixed angle rotors
ii.             Vertical tube rotors
iii.           Swinging bucket rotors

Since the centrifuge rotors have to withstand enormous amount of force during the spin, the rotors are robustly built to withstand tremendous strains. Inspite of their heavy construction, high speed rotors show signs of metal fatigue on continues use. To avoid catastrophic accidents, it is necessary to debate their safe maximum speed on a scheduled basis, usually 10% of initial maximum speed per 1000 hours use.

Fixed angle rotors
The centrifuge tubes containing the sample are kept at an angle 30° to the horizontal and the particles are subjected to a lateral force. When the particles strike the side of the tube, they are driven downwards and sediments.

Vertical tube rotors
It is also called as zero angle rotors, the tubes are placed vertically, (i.e) parallel to the axis of rotation. In these rotors, the particles are separated as vertical zones. The diameter  of the tube is shorter than the length of tube, there is a shorter distance for the components in the tubes to travel and hence separation requires lesser time. When the centrifuge is turned off, the separated zones reorient themselves to form horizontal zones. The vertical rotors are widely used especially for purification of DNAs using cesium chloride density gradients.



Swinging bucket rotors
The tubes spin horizontally and hence the particle is subjected to a constant force. The path length for the particle to travel is increased  which is equal to depth of the suspension. Therefore, the sedimentation times is increased accordingly in this type of rotors.






TYPES OF CENTRIFUGATION

The basic centrifuge consists of two components, an electric motor with derive shaft to spin the sample and a rotor to hold tubes or other containers of the sample. Many centrifuges of different designs are available in the market. However all centrifuges can be roughly categorized into different types on the basis on their operating speed. They are
i.               Low speed centrifuges
ii.             High speed centrifuges
iii.           Medium speed centrifuges
iv.           Ultra centrifuges

i.               Low speed centrifuges
Most laboratories have a strande low speed centrifuge used for routine sedimentation of relatively heavy particles. The common centifuge has a maximum speed in the range of 4000 – 5000 rpm, with RCF values up nto 3000 x g. These instruments usually operate at room temperature with no mass of temperature control of the samples. Two types of rotors, fixed angle and swinging bucket may be used in the instrument. Centrifuge tubes or bottles that contain 12 or 50 ml of sample are commonly used. Low speed centifuges are especially useful for the sedimentation of coarse precipitates or red blood cells.

The sample is centrifuges until the particles are tightly packed into a pellet at the bottom of the tube. The upper liquid portion, the supernatant is then separated by decantation. This is also called as desktop centrifuges. In all these centrifuges the rotors are mounted on a rigid shaft. It is therefore very important that the contents of the centrifuge tubes are balanced accurately and that they are never loaded with an odd number of tubes. If the rotor is only partially loaded, the tubes have to be placed diametrically opposite to each other to disperse the load evenly. These precautions are true for all types of centifuges.

ii.                High  speed centrifuges
High speed centifuges can operate with maximum speed up to 25,000 rpm providing about 90,000 g centrifugal force in a process. They are usually equiped with refrigeration equipment to remove heat generated due to fiction between the air and the spinning rotor. The temperature can easily be maintained in the range 0-4°C by means of a thermocouple. The highest carrying capacity may be 1.5dm3. Three types of rotors are available for high speed centrifugation, the fixed angle, the swing bucket and the vertical rotor. Rotors were constructed from metals such as aluminium and titanium. Although metal rotor have great strength. But they are very have to handle, they are not corrosion resistant, and they become fatigued with use. Rotors are now available that are fabricated from carbon fiber composite materials.

These new rotors are 60% lighter than comparable aluminium and titanium rotors. Because of the lighter weight, acceleration and deceleration times are reduced, thus centrifuge run times are shorter. This also results in lower service and maintenance costs. Instruments are equipped with a brake to slow the rotor rapidly after centrifugation. These instruments are routinely used to collect microorganisms, cell debris, cells, large cellular organelles, precipitates of chemical reactions and immunoprecipitates. Although these centrifuges are usefull in isolating sub cellular organelles such as the nuclei, mitochondria, lysosomes etc.

iii.           Medium speed centrifuges

It is also called as microfuge. These instruments, which are designed for the bench top, are used for rapid pelleting of small samples. Fixed angle rotors are available to hold up to eighteen 1.5 og 0.5 tubes. The maximum speed of  most commercial microfuges is between 12,000 and 15,000 rpm, which delivers a force of 11,000 – 12,000 x g. Some instruments can accelerate to full speed in 6 seconds and deaccelerate within 18 seconds. Most instruments have a variable speed control and a momentary pulse buttons for minispins.

iv.           Ultra centrifuges
The most sophisticated of the centrifuges are the ultracentrifuges. Because of the high speed attainable, intense heat is generated in the rotor. So the spin chamber must be refrigerated and placed under a high vacuum to reduce fiction. The sample in a cell or tube is placed in a rotor, which is then driven by an electric motor. Although it is rare, metal rotors when placed under high stress sometimes break into fragments.

The rotor chamber on all ultracentrifuges is covered with protective steel armor plate. The drive shaft of the ultracentrifuge is constructed of a flexiable material to accommodate any “Wobble” of the motor due to imbalance of the samples. The low, medium and high speeds are of value only for preparative work, that is, for the isolation and separation of precipitates in biological samples.

Ultracentrifuges can be used both for preparative work and for analytical measurements. The shaft is made up of aluminum or titanium alloy of high tensile strength to with stand the great forces generated during centrifugation. Ultrcentrifuge can be carried out to obtain certain biological material in isolation from the components (macromolecule or sub-cellular particle) with respect to its molecular weight or sedimentation coefficient. This centrifuge can operate at speeds upto75,000 rpm providing centrifugal force in excess of 5,00,000 x g.

Centrifugation for isolation and purification of components is known as preparatory centrifugation, while that carried out with a desire for characterization is known as analytical centrifugation. One of the most versatile model is the Beckman TLX, a microprocessor-controlled table top ultracentrifuge. With a typical fixed angle rotor, which holds six, 0.2-2.2 ml samples, the instruments can generate 1,00,000 rpm and an RCF of 540,000 x g.

Analytical ultracentrifuge
Analytical ultra centrifuge is the most commonly used centrifuge. These instruments can operate at 70,000 rev min-1. And the relative centrifugal field is about 500000 g.

Instrumentation
It consists of a motor, rotor in a protective armored chamber. This chamber is refrigerated and evacuated. And there is an optical system to observe the sedimenting material throughout the process.

Optical system
·                Three types of optical systems are available in the analytical centrifuge.
·                Light absorption system
·                Schlieren system
·                Rayleigh interferometric system.

Rotor
·                The rotor is solid, with holes to hold the test tube.
·                This rotor is connected with a wire coming from the drive shaft of a high speed motor.
·                The tip of the rotor contains a thermistor for measuring the temperature.
·                Several types of rotors are available.

Analytical cell & counter poise cell
§    A wide variety of cells is available and has a capacity of between 0.4 and 1.0 cm3.
§    Analytical cells are used with the ultra violet light absorption optical system.
§    This is used to prevent the convection and usually have a 12mm optical path length centerpiece.
§    Double sector cells are used to absorbing components in the solvent and to correct the redistribution of solvent components.
§    Double sector cells also facilitate the measurements of differences in sedimentation co-efficient.

Lens
·                The rotor chamber contains an upper condensing lens & lower collimating lens. The condensing lens with a camera lens focuses light on to a photographic plate. The collimating lens collimates the light, so the sample cell is illuminated by parallel light. In more advanced instruments the photographic detector system is replaced by an electronic scanning system.

Procedure
§    In the ultra violet absorption system, suitable wavelength of light is passed through the moving analytical cell.
§    Analytical cell contains the solution under analysis(protein/nucleic acid)
§    The intensity of the transmitted light is recorded on a photographic plate/scanning system.
§    The scanning system allowing direct visualization of the results during the experiment.
§    Different wavelengths of light can be selected.
§    The optical system records the change in refractive index of a solution.
§    In the schlieren optical system, the deviated light is passed through a schlieren diaphragm and a cylindrical lens.
§    The result is production of peak in the final image on the photographic plate, which is used as the detector system.
§    After a period of sedimentation, the peak height is diminished and the width increases.
§    But the disadvantage is schlieren system is not sufficiently sensitive to detect small concentration differences.
§    Hence more sensitive Rayleigh interference optical system is used.
§    Thus the analytical ultra centrifuge plays a crucial role in the techniques.





Applications:
·                It has many applications in biology, especially in protein chemistry, nucleic acid chemistry etc.

Determination of relative molecular mass:
·                To determine the relative molecular mass of a macro molecule based on sedimentation velocity and sedimentation equilibrium. In the sedimentation velocity method, the sedimentation co efficient of the molecule is initially determined either by boundary sedimentation or band sedimentation. In this method, the particles are uniformly distributed through the cell. The relative molecular mass of the particle may then determined by using the Svedberg equation.
                RTs
Mr = -----------------
              D (1-   V P)
Mr = relative molecular mass
R = molar gas constant
T = absolute temperature
D = diffusion co efficient
V = partial specific volume
P = density of the solvent at 20° C.
·                This technique is extremely useful for the determination of the relative molecular mass of proteins.

Estimation of purity of macromolecules:
§    This is extensively used in the estimation of the purity of DNA preparations, viruses and proteins.
§    This is done by, sedimenting boundary using the technique of sedimentation velocity.
§    Homogeneity is recognized by a single sharp symmetrical sedimenting boundary.
§    Impurities in the preparation are displayed as additional peaks.
§    Detection of conformational changes in macromolecules.
§    It is successfully applied to the detection of conformational changes in macromolecules.
§    For e.g. DNA may exist as single or double stands, either linear or circular in nature.
§    DNA will undergo a number of conformational changes, if it is exposed to organic solvent or elevated temperature.
§    The conformation changes may be ascertained by examining differences in the sedimentation velocity of the sample.
§    The more compact molecules having a lower frictional force and more disordered molecules have a greater frictional force and sedimentation occurs more slowly.
§    Conformational changes therefore detected by differences in sedimentation rates of the sample.

Thus it has a number of important applications and therefore plays an important role in biological world.


TYPES OF CENTRIFUGATION
Centrifuge classified based on the purpose of centrifugation, speed at which centrifuge is operate. All centrifugations fall into two categories.

i.               Differential centrifugation ( makes use of different speeds of effect sedimentation of different particles, step & )
ii.             Density gradient centrifugation ( makes use of different densities of the particles at same speed)







DIFFERENTIAL CENTRIFUGATION

          1. During centrifugation, particles sediment through the medium in which they are suspended at rates related to their size, shape & density. Differences in the sedimentation coefficients of the various subcellular particles provide the means for their effective separation.

2. Differential centrifugation, a technique introduced to cellular research in the early 1940s by the noted biologist & Nobel  laureate Albert claude is one of the classic procedures for isolating subcellular particles & involves the stepwise removal of classes of particles by successive centrifugation at increasing RCF.

3. The most common & simple method is the differential centrifugation pelleting of samples. In this method, the centrifuge tube is filled with a homogenous solution & then centrifuged at required rpm for required time & temperature. It results in two fractions, a pellet at the bottom of the tube containing the sedimented material at that speed & a supernatant solution containing the unsedimented material. ( any particular component of the homogenous solution, that may end up in the supernatant (or) in the pellet (or) if may be distributed in both the fraction dependeds upon its size/or the speed & length of centrifugation).

4. The process of separation of cell organelles is known as subcellular fraction. To isolate a specific organelle are homogenized in a suitable homogenizing medium at 4°c. the resulting suspension containing many subcellular organization.
This type of separation is commonly used in simple pelleting & in obtaining partially pure-preparation of subcellular organelles & macromolecules.
For the study of subcellular organelles, tissue or cells are first disrupted to release their internal contents. This crude disrupted cell mixture is referred to as a homogenate. During centrifugation of a cell homogenate, larger particles sediment faster than smaller ones & this provides the basis for obtaining crude organelle fractions by differential centrifugation. A cell homogenate can be centrifuged at a series of progressively higher g-forces & times to generate pellets of partially purified organelles.

5. This method uses a series of 4 different centrifugation steps. Each step yields a pellet & supernatant. The supernatant is subjected to centrifugation next step.

6. The two fractions are recovered by decanting the supernatant solution into a fresh tube & leaving the pellet in the original tube. The supernatant can now be recentrifuged at a higher speed to effect further sedimentation of lighter particles with formation of a new pellet & supernatant, the pellet can also be recentrifuged after resuspending in a suitable media. Thus, by increasing the speed (rpm) & hence the g value step by step, one can pellet down different components of the homogenate at each step. This type of centrifugation, is known as differential centrifugation.

7. Differential centrifugation is used to fractionate different organelles of the cells. For examples in, a typical procedure, the cells are homogenized in 10 volumes of buffer containing 0.25 sucrose ( to maintain isotonic condition). The homogenate is centrifuged at 1,000 x g for 20 minutes to pellet the nuclei. The supernatant solution is recentrifuged again at 10,000x g for 20 minutes to pellet the mitochondria, lysosomes & peroxisomes. The supernatant solution is again centrifuged at 30,000xg for 30 minutes to pellet the microsomes.

The supernatant is further centrifuged at 1,05,555xg for 60 minutes to pellet ribosomes. The final supernatant solution is the cytosolic fraction, which contains tRNAs, soluble enzymes & precursors for macromolecules. Thus, different organelles of the cells can be fractionated by differential centrifugation.




B.DENSITY GRADIENT CENTRIFUGATION

Density gradient centrifugation employs medium which has gradients. The separation under the centrifugal field is therefore dependent upon the buoyant densities of the particles. The gradients, apart from existing their separating effect, eliminate mixing of separated components due convection & mechanical vibrations.
This method gives a much better separation than differential centrifugation.

This technique was introduced to cellular research in the late 1940’s & early 1950’s by N.G. Anderson & M.K.Brakke & is an exceedingly powerful preparative tool.

Types of density gradient centrifugation

The density gradient centrifugation is of two types

1.Rate-zonal centrifugation using a preformed gradient of different densities (linear or step gradients using glycerol or sucrose solution.)
2. Isopycnic centrifugation using a self-forming gradient during the centrifugation (e.g. cesium choride gradient).

Characteristics of Good Gradient Materials
§    It should not affect the biological activity of the sample.
§    It should be non-corrosive to the rotor.
§    It should   be easily sterilizable.
§    It should be cheap & readily available.
§    It should not interfere with the easy technique.
§    It should be easily removable from the purified product.
§    It should not get absorbed in the ultraviolet range.

Examples
Sucrose, caesium Chloride, Ficoll and Polyvinyl pyrrolidone (Percoll)

Sucrose
It is a low cost material and its modest viscosity makes it the most commonly used gradient solute. However, a maximum density of about 1.29 g/cm3 only can beobtained with sucrose. It cannot be used in certain applications because it has an osmotic effect due to its ability to penetrate through some cell membranes. Thus it may cause shrinkage of some organelles by osmotic withdrawl of water from them. Since ordinary contains a high concentration of calcium, it cannot be used for making gradients. A specially purified reagent grade sucrose should be used for analytical purpose. Sucrose solution should be prepared freshly. Solutions that are slightly turbid or cloudy should be discarded promptly. Low concetrations of sucrose solution (0.25M) support microbial growth.

Caesium Chloride
Since, it s freshly soluble in water, solutions of high density and low viscosity can be prepared. However, the ionic nature of the saltand its low molecular cause severe osmotic effects when cells or organelles are suspendedin the medium. Therefore caesium chloride is used extensively for the separation of RNA and DNA only. The solutions of ceasium chloride produce gradients from 1.099 to 1.9 cm-3 by simple centifugation. The major disadvantage is the high cost of the salt.

Ficoll
The molecular weight of ficoll is about4,00,000. It is a polymer of sucrose and epichlorohydrin. It is originally developed as a plasma substitute for transfusion purposes. It is stable non ionic polymer. But  it is contaminated with small ionic materials and therefore ficoll solutions are dialyzed extensively before use. It has become a useful gradient solute because of its low osmotic effects. Ficoll solutions are highly viscous in nature and it is more difficult to dissolve them in high concentration then sucrose. It is also quite expensive. Therefore it is used only in essential cases.

Percoll
It is polyvinyl pyrolidone coated colloidal silica. Using percoll gradients with density ranges from 1.0 to 1.3 g / cm3 can be formed. It is non toxic to cell and has a very low viscosity. Its osmotic effects also very low. Percoll suspensions produce self generating gradients by simple centrifugation. An initially uniform suspension of percoll when centrifuged at forces > 10,000 x g redistribution itself to form a gradients. The steepness of the gradient charges with time of centrifugation, the geometry of the rotor and the initial concentration of the suspension.

Principles of rate zonal centrifugation
Particle separation by the zonal technique is based upon differences in the size, shape and the density of the particles, the density and viscous of the medium and the applied centrifugal field. However, subcellular organelles such as mitochondria, lysosomes and peroxisomes which have different densities but are similar in size cannot be separated efficiently using this method.

The bottom of the centrifugation medium contains the highest density. However, its density does not exceed that of the densest particles to be separated. The sample is carefully layered on top of a pre-formed liquid density gradient. The density of the gradient increases very slow from the top to bottom. The sample is then centrifuged until the particles travel through the gradient to form discrete zones. Centrifugation must be terminated before any one of the separated zones reaches the bottom of the tube.


Principles of rate isopycnic centrifugation
Isopycnic centrifugation depends only upon the buoyant density of the particle. Shape and size of the particle do not have any effect on separation. In isopynic centrifugation, the maximum density of the gradient always exceeds the densityof the most dense particles. During centrifugation, sedimentation of the particles occurs until the buoyant density of the particle and the density of the gradient are equal. At this point of isodensity no further sedimentation occurs, irrespective of howlong centrifugation continues.

This technique is used to separate particles of similar size but of differing density. Subcellular organelles such as golgi apparatus (r = 1.11 g/cm3), mitochondria (r = 1.19 g/cm3), and peroxisomes (r = 1.23 g/cm3) can be effectively separated by this method.

The sedimentation rate of rigid spherical particle is calculated using the equation

                                  V  =  2/9 x r2p pm)/η x g


In the above equation,the density ot the sedimentation particle(ρp) becomes equivalent to the density of the medium (ρm) then V will become zero. A density gradient is prepared in a tube in such a manner that the density goes on increasing toward the bottom of the tube. A solution of different particles differing in their buoyant densities is centrifuged in this medium. Different particles will travel different length and become stationary at a region where the density of the layer below them is greater than their own buoyant density. This is the basis of isopycnic centrifugation technique. This is also known as sedimentation equilibrium centrifugation.

Commonly use gradient materials and their densities at 20°C

Material
Maximum density (g/cm3)
Sucrose (66%)
1.33
Glycerol
1.26
RbBr
1.63
CsCl
1.91
Cesium formate
2.11
Ficol
1.18

Preparation of Density Gradients
Two types of density gradients may be prepared for centrifugation purposes. They are
·                Discontinuous density gradient
·                Continuous density gradient

Discontinuous density gradient
In Discontinuous density gradient, density increases abruptly from one layer to another. It is prepared by carefully layering solutions of continuously decreasing densities over each other. The highest density solution is placed at the bottom and the lightest density solution is at the top. The sample is then layered at the top layer.

Continuous density gradient
Continuous density gradient is prepared using a special device which has two chambers. One chamber contains high density solution and the other chamber contains a very less dense solution.

          The chamber that contains a high dense solution has an outlet and a stirrer. When the tap of the first chamber is opened, the dense solution drips into the centrifuge tube. The levels of solution are the first chamber thus decreases and is compensated by the less dense solution from the second chamber.
         
          Using the stirrer, the solution is mixed well. The density of the solution in the first chamber is slightly less than that of original solution. The tap is agin opened to fill up a particular length of the centrifuge tube and then closed. By repeating this, a continuous linear density gradient is formed.

Sample Application
          The volume of the sample that can be applied to the centrifuge tube depends upon the cross sectional area of the gradient prepared in the centrifuge tube. Thus a volume of 1ml can be applied to centrifuge tubes having a inner diameter of 2.5 cm. the concentration of the medium in which the sample is prepared should be about 10 times less than the concentration of the strating gradient. The sample can be applied through the syringe which is held about 2 to 3 mm above the gradient inclined at an angle of 45°C touching the wall of the centrifuge tube. For fragile solution like DNA, a pipette is used.

Recovery of the sample
          The first method used in the recovery of samples involves puncturing of the centrifugation tube at the bottom with the help of a needle and collecting the dripping medium in separate tubes.

          The second method is called the displacement technique. In this a cover with an outlet is placed at the top of the gradient. A very dense solution is pumped through this tube. The dense solution displaces the gradient layers which strat coming out from the outlet provided in the cover and are collected in separate tubes.

Applications
i.               Rate – zonal centrifugation method is useful for separation of RNA-DNA hybrids and ribosomal subunits.
ii.             Isopycnic centrifugation method is suitable for separation of intracellular organelles such as mitochondria, lysosomes and peroxisomes.
iii.           It is also suitable for nucleic acid fractionation.