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Apparatus for performing and universally detecting capillary isoelectric focusing without mobilization using concentration gradient imaging systems    
United States Patent5395502   
Link to this pagehttp://www.wikipatents.com/5395502.html
Inventor(s)Pawliszyn; Janusz B. (Waterloo, CA)
AbstractThe separations resulting from capillary electrophoresis performed in a microbore capillary tube are detected on-line by focusing a light beam in the form of a line or sheet of light on the capillary passage in which the separations take place so that the width of the sheet of light encompasses the length of the passage in which separations of interest are expected to take place. The separations form concentration gradients in the capillary passage encompassed by the light beam and cause refraction of portions of the light beam. The variation in the intensity of light along the width of the light beam after passage through the sample is sensed and is indicative of the concentration gradients and separation occurring in the sample. An apparatus including a relatively short capillary tube with liquid reservoirs secured at each end may be used with the detector to perform various capillary electrophoretic separation techniques. By using a reagent which reacts with an analyte not having an isoelectric point to form a product having an isoelectric point, such analyte may be detected and measured by isoelectric focusing techniques.
   














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Drawing from US Patent 5395502
Apparatus for performing and universally detecting capillary isoelectric

     focusing without mobilization using concentration gradient imaging

     systems - US Patent 5395502 Drawing
Apparatus for performing and universally detecting capillary isoelectric focusing without mobilization using concentration gradient imaging systems
Inventor     Pawliszyn; Janusz B. (Waterloo, CA)
Owner/Assignee     Torres; Anthony R. (Centerville, UT)
Patent assignment
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Publication Date     March 7, 1995
Application Number     08/201,670
PAIR File History     Application Data   Transaction History
Image File Wrapper   Patent Term   Fees
Litigation
Filing Date     February 25, 1994
US Classification     204/603 204/644
Int'l Classification     G01N 027/26 G01N 027/447
Examiner     Niebling; John
Assistant Examiner     Starsiak Sr.; John S.
Attorney/Law Firm     Mallinckrodt & Mallinckrodt
Address
Parent Case     RELATED APPLICATIONS This is a continuation of application Ser. No. 07/819,325, filed Jan. 13, 1992, now abandoned, which is a continuation-in-part of application Ser. No. 07/657,066, filed Feb. 19, 1991, entitled "Method and Apparatus for Detecting Concentration Gradients", now U.S. Pat. No. 5,153,666, which was a continuation-in-part of application Ser. No. 07/271,008, filed Nov. 14, 1988, also entitled "Method and Apparatus for Detecting Concentration Gradients", now U.S. Pat. No. 4,993,832.
Priority Data    
USPTO Field of Search     204/183.2 204/182.9 204/299 R 356/344
Patent Tags     performing universally detecting capillary isoelectric focusing without mobilization concentration gradient imaging
   
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5235409
Burgi
356/436
Aug,1993

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Pawliszyn
356/128
Oct,1992

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Weinberger
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Hafeman
205/777.5
May,1986

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Jul,1973

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I claim:

1. A capillary isoelectric focusing system comprising light transmitting material forming a capillary passage therethrough in which separation of components of a sample take place; means for causing separation of components of a sample to take place in the capillary passage by means of isoelectric focusing and for maintaining such separation in the capillary passage as desired; means for generating a light beam having a width and a height, wherein the width is substantially greater than the height and is sufficient to extend a predetermined length along the capillary passage; means for directing the light beam through the capillary passage so that the light beam passes through a predetermined length of the passage, said predetermined length being such as to simultaneously include any separations of interest due to isoelectric focusing present in the passage; and detector means for detecting the intensity of light in the light beam after passing through the capillary passage at various positions along the predetermined length of the passage and to provide an output representative of the light intensity along the predetermined length of the passage, the intensity of the light at various positions along the predetermined length of the passage being indicative of sample separation along the length of the passage.

2. A capillary isoelectric focusing system according to claim 1, wherein the detector means includes a detector having a narrow sensing area compared to the width of the light beam and means for moving the detector along the predetermined length of the passage.

3. A capillary isoelectric focusing system according to claim 2, wherein the detector is a photodiode.

4. A capillary isoelectric focusing system according to claim 3, wherein a shield is provided between the photodiode and the capillary passage which moves with the photodiode, and an opening in the shield which defines the sensing area of the photodiode.

5. A capillary isoelectric focusing system according to claim 1, wherein the means for generating a light beam is a laser which generates the light beam and a cylindrical lens which shapes the beam.

6. A capillary isoelectric focusing system according to claim 1, including a lens positioned between the capillary passage and the detector to expand the light beam after passage through the capillary passage.

7. A capillary isoelectric focusing system according to claim 1, additionally including a first reservoir and a second reservoir, wherein the light transmitting material is secured to and extends between the first reservoir and the second reservoir whereby the first reservoir, second reservoir, and light transmitting material are secured together as a unit with the capillary passage communicating with and interconnecting the first and second reservoirs and the first and second reservoirs being at opposite ends of the passage, each of said reservoirs being adapted to receive an electrode positioned therein and at least one of said reservoirs adapted to cooperate with a means for adding liquid to or withdrawing liquid from the reservoir.

8. A capillary isoelectric focusing apparatus according to claim 7, additionally including an electrode positioned in each of the reservoirs.

9. A capillary isoelectric focusing apparatus according to claim 8, additionally including means cooperable with one of the reservoirs for adding liquid to or withdrawing liquid from the reservoir.

10. A capillary isoelectric focusing apparatus according to claim 9, wherein the means for adding liquid to or withdrawing liquid from the reservoir is a syringe and a tube secured to the syringe and extending into the reservoir.

11. A capillary isoelectric focusing apparatus according to claim 7, wherein the capillary passage has a diameter of between 10 and 100 microns.

12. A capillary isoelectric focusing apparatus according to claim 7, wherein the capillary passage is 10 centimeters long.

13. A capillary electrophoresis system according to claim 1, wherein the diameter of the capillary passage is between about 10 and 100 microns.

14. A capillary electrophoresis system according to claim 1, wherein the detector means is a light detecting array.

15. A capillary isoelectric focusing system according to claim 14, wherein the light detecting array is a photodiode array.
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BACKGROUND OF THE INVENTION

1. Field

The invention is in the field of capillary electrophoresis, detection methods for capillary electrophoresis and apparatus based on such methods, and on Schlieren optics.

2. State of the Art

It has been known for some time that a refractive index gradient such as produced by a concentration gradient in a fluid such as a gas, liquid, or supercritical fluid, will cause deflection of light passed through the gradient. The optical method of observing and measuring the deflection of light caused by refractive index gradient fields is generally referred to as Schlieren optics. In the past, Schlieren images resulting from light deflections have been recorded on photographic plates and the plates then analyzed for light intensity distribution using densitometers. Recently, evaluation of the photographic images has been done by computer. These methods are useful in studying plasmas where very complicated toroidal and parabolic shapes are generated.

U.S. Pat. No. 4,547,071 discloses a sensor for measuring density gradients in a nonhomogeneous fluid sample using Schlieren optics. In such sensor, a laser light beam is directed through a sample chamber and is moved along said chamber. A quadrant light position sensor located on the opposite side of the chamber detects the deflection of the laser light beam as it is moved through the sample. The amount of deflection indicates the density gradient at any point in the sample. Rather than moving the laser beam along the sample chamber, the beam can be held constant and the sample chamber with sample therein moved. However, moving a laser and detector together in relation to a sample chamber and keeping the laser beam focused on the sample chamber, even a relatively large chamber, is difficult, as is moving a sample chamber through the laser beam so as to keep the laser beam properly focused. Trying to do either with a small capillary sample chamber is very difficult and impractical.

My U.S. Pat. Nos. 4,784,494, 4,940,333 and 4,993,832 show detectors that can be used to detect concentration and thermal gradients in very small samples. The detectors utilize a light source to generate one or two probe beams of light that pass through the sample having the gradient to be detected and the deflection of the probe beam or beams is measured on a beam position detector. Various light sources may be used to generate the probe beam or beams, such as a laser or light emitting diode (LED). These detectors, however, are designed generally to be used where the gradients to be detected move through the probe beam or beams of light.

Capillary electrophoresis has become an important separation method in bioanalytical chemistry. Separation and detection of very small amounts of biological samples, about pL-nL volumes, can be achieved with capillary electrophoresis. This is generally not possible with more conventional methods of separation, even with high performance liquid chromatography. There are several capillary electrophoresis separation methods in use for different kinds of samples. They include capillary zone electrophoresis, moving boundary capillary electrophoresis, capillary isotachophoresis, and capillary isoelectric focusing. Capillary zone electrophoresis, moving boundary capillary electrophoresis, and isotachophoresis all have the advantage that the sample moves through a capillary sample separation chamber during the separation so can be used with the detectors of my cited prior patents. Capillary zone electrophoresis and moving boundary capillary electrophoresis are dynamic processes where separation occurs at an instant in time and then the zones immediately begin to diffuse and disperse. The diffusion takes place as the samples move through the sample chamber to the detector. This makes detection of the various zones more difficult and less accurate than may be desired. Isotachophoresis has the advantage that the zones stay relatively sharp as the sample moves through the capillary, but isotachophoresis is a difficult process to work with.

Isoelectric focusing has been employed for separation of sample components based on differences in their isoelectric points. Recently, the development of capillary electrophoresis techniques has generated interest in preforming the isoelectric focusing in capillaries, since efficient dissipation of Joule heat from a 10-100 .mu.m diameter capillary eliminates convection effects which occur in larger sample chambers and enables highly efficient separations. Capillaries with microbores, i.e., with very small inner diameter, also require only small amounts of sample, which is desirable for analysis of biological materials, such as monoclinal antibodies and other proteins. The capillary isoelectric focusing process involves establishing an electrical field between the ends of the capillary and establishing a stable pH gradient inside the capillary using a mixture of amopholytes. At the same time, an ampholytic analyte, such as a protein, moves along this pH gradient and is focused at the point where the pH is equivalent to its isoelectric point. The migration then ceases. Thus, a stationary condition is reached and maintained in the capillary. During this separation process, narrow Gaussian bands are generated with high peak concentrations which results in high separation resolution of the analytes. In order to detect the now focused analytes with available detectors, the focused zones must be moved through a stationary detector which is usually located at one end of the capillary. Thus, the focusing of the sample in the capillary is followed by a mobilization process. The commonly used mobilization process requires addition of salt to the electrolyte at one end of the capillary. The salt causes changes in pH at that end of the capillary. Because of this pH shift, the analytes focused in the capillary are no longer at their isoelectric points and will consequently move or migrate toward the end of the capillary and will pass through the detector. During the mobilization process, distortion of the focused zones and loss in resolution are unavoidable. Further, the mobilization process also takes at least about 15 minutes compared to the about five minutes required for the focusing itself using commonly available isoelectric focusing systems. Since the detection is necessary, the required mobilization makes the isoelectric focusing a relatively slow separation method thought to have little advantage compared to other capillary electrophoretic techniques. Therefore, it is necessary to develop an on-line detection method to eliminate the mobilization step and thereby improve the speed and performance of detection using the isoelectric focusing separation technique.

Several on-line scanning spectroscopic and radiometric detection methods have been developed for electrophoresis performed on slabs. However, such methods cannot be satisfactorily used with electrophoresis carried out in microbore capillaries because of their small size. Recently, there have been attempts made to continuously monitor capillary isoelectric focusing separation. In one instance, photographs were taken of the focusing of blue dye stained proteins inside a 0.4-0.6 mm i.d. capillary, and the photographs used to study the zones of proteins. However, this technique requires labeling of the proteins and can not give good quantitative information. In another instance, the separation in the capillary was monitored using chemical electrodes spaced along the length of the sample chamber. Although a complicated 100 chemical electrode array was used, the resolution obtained in these experiments was very poor.

With currently available capillary electrophoresis equipment, the capillary tube is generally about a meter in length and each end must be manually positioned in a container holding solute or sample to be separated. The longer the capillary tube, the longer the time necessary for a sample to move through the tube. When a new sample is to be separated, one end of the capillary tube has to be moved to another container which contains the new sample. Also, as the ends of the capillary are moved from container to container, the electrodes necessary for operation of the system must also be moved. Since voltages up to about 10 KV are required to operate the system, the person moving the capillary tube and electrodes from container to container may easily come into dangerous contact with the electrodes.

One of the most promising applications for capillary electrophoresis is for routine analysis in research laboratories, pharmaceutical manufacturing facilities, and hospitals. However, in many cases, relatively rapid separation and accurate detection of samples is required, because the feedback of the analyzed data is essential for observing effectiveness of a therapy, adjusting drug doses in treatment of patients in hospitals, or controlling process conditions in industrial manufacturing. Also, since different methods of capillary electrophoresis apply to different types of samples and situations, it would be convenient to be able to run different methods on the same instrument. It is impossible for current commercial capillary electrophoresis instruments to change from one separation method to another. Each instrument and capillary cartridge is designed for a particular type of separation, e.g., for capillary isotachophoresis, or for moving boundary capillary electrophoresis. A further problem is that current commercially available capillary electrophoresis instruments lack sensitive, universal, and inexpensive detectors. Although conventional absorption spectrophotometric detectors can be universal, they are not sensitive enough for capillary electrophoresis using narrow capillaries, and an expensive monochromator is required. The fluorometric detectors in use not only need expensive lasers and photomultipliers but also require fluorescent derivatization for most analytes. The commercial capillary electrophoresis instruments with such detectors are usually expensive and large devices.

Also, it is sometimes desirable to separate and identify sample components or determine if such components are present in a sample, for components which do not lend themselves to separation by electrophoretic techniques. Thus, other more complicated detectors and detection methods are required to detect these components.

SUMMARY OF THE INVENTION

According to the invention, it has been found that concentration gradient detection is uniquely suited for use as a detection means and method for detecting the various bands of components as separated by capillary isoelectric focusing techniques. It has also been found that isoelectric focusing can be effectively accomplished in relatively short capillary tubes, such as capillary tubes with about ten centimeters overall length, and that the actual separations take place within an even shorter portion of such tubes. Further, it has been found that a light beam can be generated as a sheet or line of light, i.e., a beam of predetermined width with very small height dimension, that can be focused on the capillary passage in the capillary tube and the separated sample therein so as to extend along the capillary passage through the portion containing the separated sample. The light within the light beam is deflected by the concentration gradients in the sample along the width of the light beam to produce variations in the intensity of the light beam along its width which are representative of the concentration gradients established in the capillary passage by the isoelectric focusing. By monitoring the light beam after passing through the capillary tube and sample therein, the separation of the sample can be easily and quickly determined.

In a preferred embodiment of the invention, the intensity of the light beam after passing through the sample is monitored by a light detector in the form of a photodiode array extending along the portion of the capillary tube where the expected separations take place. The photodiode array is made up of individual sensing elements of a size small enough to be able to resolve and detect the differences in light intensity caused by the refraction of the light passing through the concentration gradients in the sample. With such an arrangement, the light source, detector, and sample chamber, i.e., capillary passage, are all fixed relative to one another to maintain accurate light beam focusing and detection, yet the measurements can be made with a stationary sample separation in the capillary. It is not necessary to move the sample through the light beam to obtain a measurement. The entire sample of interest is comprehended by the light beam passing through the sample. Further, in the preferred embodiment, the light beam is generated by an inexpensive He-Ne laser with a cylindrical lens to convert the beam from the laser into a sheet of light and to focus the sheet onto the capillary passage. Various other means of producing the sheet of light could be used, however.

In an alternate preferred embodiment of the invention, the intensity of the light beam after passing through the sample is monitored by a light detector in the form of a single photodiode having a narrow sensing area compared to the width of the light beam to be detected so that the detector senses only a small portion of the beam at any one time. The photodiode is mounted for movement along the sample chamber where the expected separations take place. By moving the photodiode along the sample chamber through the beam, the diode measures the light intensity at the particular location it moves through and thereby provides an output proportional to the intensity of the beam at each point the photodiode moves through. Since the light beam is not moved with the detector, i.e., the sample chamber and the light beam remain fixed in relation to one another, the problem with maintaining alignment of the light beam and sample chamber is not present.

A simple and easy to use capillary electrophoresis apparatus can be constructed with a first reservoir and a second reservoir connected and held together with a sheet of glass, such as a microscope slide. A capillary tube secured to the slide extends between the reservoirs so that the capillary passage through the capillary tube extends between and connects the two reservoirs. Electrodes are inserted into the reservoirs and the reservoirs are configured to easily accept a tube extending from a syringe to enable liquid to be easily added to or withdrawn from a reservoir. Thus, the solute or sample can be easily changed in a reservoir by withdrawing it from the reservoir with the syringe and adding new solute or sample, or mixture, with a syringe. In such apparatus, the capillary passage will usually be about ten centimeters long and have a capillary diameter of between ten and one-hundred microns. The reservoirs have small capacity so that only small sample volumes are needed. The volume of the reservoir, however, will be larger than the volume of the capillary so that enough sample will be present to fill the capillary. With such an arrangement, any method of electrophoresis may be used. It is not necessary to use a different apparatus for each different method of electrophoresis.

A method of the invention allows electrophoretic separation, particularly using the isoelectric focusing technique, for various sample components not otherwise subject to such separation. The method involves selecting a reagent capable of separation and having a high degree of specificity for the component to be detected. The reagent is added to the sample, preferably in an amount sufficient to interact with all of the sample component to be detected that might be in the sample. The reagent has its own isoelectric point and the product of reagent and component has a different isoelectric point. Thus, with isoelectric focusing, the reagent in the sample, and the product of reagent and component in the sample, will each be separated to form different bands in the sample which can be detected by the detector of the invention.

THE DRAWINGS

The best mode presently contemplated for carrying out the invention is shown in the accompanying drawings in which:

FIG. 1 is schematic representation of a light beam passing through a gradient;

FIG. 2, a schematic representation of a light beam passing through a sample chamber, showing the deflection angle produced by the presence of a refractive index gradient in the chamber;

FIG. 3, a second schematic representation of a light beam passing through a sample chamber with a concentration gradient;

FIG. 4, a schematic representation of a light beam passing through a sample chamber similar to FIG. 2, but showing a wide beam with a gradient in part of the beam;

FIG. 5, a further schematic representation of a wide light beam passing through a sample chamber with a concentration gradient in a portion of the beam;

FIG. 6, a vertical section through the capillary passage of an electrophroesis apparatus of the invention;

FIG. 7, a fragmentary horizontal section taken on the line 7--7 of FIG. 6, but showing the light source, lenses, and detector in top plan view;

FIG. 8, a fragmentary vertical section taken through a capillary tube showing sample component separation resulting from isoelectric focusing;

FIG. 9, a vertical section through a light beam formed by the apparatus of the invention;

FIG. 10, a fragmentary vertical section taken on the line 10--10 of FIG. 7;

FIG. 11, a fragmentary top plan view of an alternate detector of the invention;

FIG. 12, a block diagram of a detector of the invention;

FIG. 13, a curve representing the light intensity profile of a probe light beam passing through a sample separated by isoelectric focusing in the apparatus of the invention and produced as the output signal by a moving detector;

FIG. 14, a set of three curves labeled a, b, and c with curve a representing a peak of the curve of FIG. 13, curve b representing the integral of curve a, and curve c representing the integral of curve b and second integral of curve a;

FIG. 15, a set of three curves labeled a, b, and c representing the light intensity profiles of a probe light beam passing through a sample during separation by isoelectric focusing in the apparatus of the invention and produced as the output signals by a moving detector;

FIG. 16, a set of three curves labeled a, b, and c representing the light intensity profiles of a probe light beam passing through a sample during separation by isoelectric focusing in the apparatus of the invention and produced as the output signal by a diode array detector;

FIG. 17, a fragmentary vertical section of an alternate sample receiving reservoir usable with the apparatus of FIGS. 6 and 7;

FIG. 18, a set of three curves labeled a, b, and c being schematic representations of light intensity profiles showing separations obtained through a method of the invention;

FIG. 19, a curve representing the concentration profile of a sample separated in the apparatus of the invention and mobilized to move through a detector and produced as the output signal by the detector;

FIG. 20, a set of two curves labeled a and b showing the concentration gradient profiles of the same sample separated using capillary zone electrophoresis and moving boundary capillary electrophoresis; and

FIG. 21, a curve showing the concentration gradient profile for the same sample as used for FIG. 20, showing the sample separated by isoelectric focusing.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT

It is well known that light passing through a refractive index gradient in a solution is deflected. The physical reason for light deflection when passing through this gradient lies in the relationship between the refractive index and light propagation velocity. Different parts of the light advance to a different degree with time, which generates the phase shift. Thus, as shown in FIG. 1, during a given time period t+dt, light at the top of a light beam indicated by arrow 10 which is passing through a solution with a refractive index of n+dn will travel a distance of D1. The light at the bottom of the light beam indicated by arrow 11 which is passing through a solution with a refractive index of n will travel a distance D2. This results in a tilt of the light wavefront and since light travels perpendicular to the wavefront, the light beam is tilted as illustrated. In FIG. 1, D2 is greater than D1 resulting in an upward tilt, but depending upon the values of n and n+dn, the tilt could be downward.

The light path through the refractive index gradient can be calculated by using the Fermat principle that the light path through the medium is such that the time necessary for its traversal is minimum. The relationship between the angle of deflection, .theta., and the refractive index gradient normal to the light propagation dn/dx and path length through this gradient, D, can be written as

tan .theta.=sinh (D/n)(dn/dx)=(D/n)(dn/dx)+(dn/dx).sup.3 (D.sup.3 /n.sup.3 3!)+(dn/dx).sup.5 (D.sup.5 /n.sup.5 5!)+. . .

where n is the refractive index of the medium. In situations where the sensor of the invention will be used, D and .theta. are small. We can then approximate:

.theta.=(D/n)(dn/dx)

FIG. 2 illustrates the detection principle behind this method. With a nonuniform distribution of a solute in the sample chamber shown schematically between sample chamber walls 12 and 13 giving a sample chamber distance D, a concentration gradient is established. This gradient forms the corresponding refractive index gradient dn/dx=(dn/dc)(dc/dx), which then tilts or deflects the propagating light beam by angle .theta.=(D/n) (dn/dc)(dc/dx). This deflection can be measured by measuring the position of the light beam on the position detector 14. The information produced during the measurement of the concentration gradient relates to the universal property of the solute--refractive index n. Consequently, the concentration gradient produced by any solute that has a different n than the solvent will be detected by noting a deflection or tilt in the light beam.

FIG. 3 shows the same principal as FIG. 2, but illustrates it somewhat differently. Thus, if a concentration gradient represented by line 16 exists in a sample in a sample chamber defined by walls 12 and 13, a probe beam of light 17 directed through the sample will be deflected as indicated above by an angle .theta.. This causes the position of the beam to move on the surface of the position sensor 14 as indicated above.

FIG. 4 is similar to FIG. 2, but shows a wide light beam with a concentration gradient 18 within the width of the light beam. Thus, rather than the light beam being uniformly deflected as shown in FIGS. 1, 2, and 3, a portion of the light beam 19, on one side of the gradient 18, which does not pass through a gradient, passes straight through the sample to detector 14. Portion 20 of the light beam passes through the gradient 18 and is deflected by angle .theta. as shown by the broken arrows, and falls onto detector 14 partially overlapping portion 19. Where the overlap occurs on the detector, indicated at 22, the light striking detector 14 is brighter than in non overlapping areas. Portion 21 of the light beam on the other side of the gradient 18, again passes straight through the sample and onto detector 14. As indicated in FIG. 4, there will be an area 23 where little or no light will fall. Thus, the single light beam after passing through a sample with one or more gradients therein will have varying intensity indicating the gradients present in the sample. A gradient in the sample will generally result in a bright spot followed by a spot of very little intensity, or, if just measuring intensity, a level representing the light passing straight through the sample, an increased or positive signal (the increased intensity), followed by decreased or negative signal (the decreased intensity), followed again by the level representing the light passing straight through the sample.

If the detector 14 is broken down into many small detectors, such as an array of detectors, each detector detecting the light from a small portion of the beam, a comparison or scanning of the individual detectors will produce an output signal representative of the intensity of the light beam falling on the array along its length. Alternatively, a single, small detector which detects only a portion of the light beam could be positioned to be moved through the beam along its width and measure the light intensity as it is moved.

FIG. 5 shows the same principal as FIG. 4, but relates it more directly to a system of the invention. Thus, again, the light beam may be considered as many parallel light rays 25. A gaussian refractive index gradient produced by a similar gaussian concentration gradient as would appear in a sample in a sample chamber is represented schematically by curve 26. Line 27 represents both the plane of the sample chamber where the light beam passes through the sample and an axis indicating length along the sample chamber for the refractive index gradient curve 26. Axis n represents the refractive index of the sample within the sample chamber. Line 28 represents the detector plane and also an axis representing the intensity of light passing straight through the sample chamber when no refractive index gradient is present. Curve 29 represents the intensity I of the light striking the detector plane. When the light beam passes through the sample chamber, the individual light rays 25 are refracted and bent out of their original path upon encountering the refractive index gradient 26 produced by a concentration gradient inside the sample chamber. If the intensity of each light ray is constant, equalling I.sub.o, the relative changes of the light intensity on the detector plane can be given by: ##EQU1## Here, x is the direction along the sample chamber, z is the direction along the light beam, n is the refractive index inside the sample chamber, d is the diameter of the sample chamber, and L is the distance between sample chamber and the detector plane. In this equation, [1/n(x)] dn/dx corresponds to the light beam deflection angle, and is small. Its high power in the second term of the equation can be neglected, compared with the first term, then: ##EQU2## which shows that the relative changes of the probe beam intensity on the detector plane are proportional to the second derivative of the refractive index inside the capillary. The relationship between the magnitude of the refractive index change and the sample's concentration is approximately linear. Hence, the relative changes of probe beam intensity on the detector plane are also expected to be proportional to the second derivative of the sample's concentration inside the capillary.

FIGS. 6 and 7 show a capillary electrophoresis apparatus of the invention. As shown, a capillary tube 35, preferably of glass, has a capillary passage 36 therein. Open containers 37 and 38, forming reservoirs 39 and 40, respectively, are secured to the ends of capillary tube 35 so that capillary passage 36 communicates with reservoirs 39 and 40. The assembly is held together as a unit by a member 41 to which the capillary tube 35 and containers 37 and 38 are secured. If the capillary tube is glass, it is preferred that member 41 also be glass and that the capillary be secured thereto by epoxy so that no refractive interface is formed between the two. The containers 37 and 38 may be of any suitable material, such as polyethylene, and secured to member 41 by any suitable adhesive, such as epoxy. Containers 37 and 38 may be provided with tops 42 and 43, respectively, which hold electrodes 44 and 45 in position in reservoirs 39 and 40, respectively. Tubes 46 and 47 extend through tops 42 and 43, respectively, to open near the bottom of reservoirs 39 and 40, respectively. Fittings 48 and 49 on the tops of tubes 46 and 47 where they pass through the respective tops are adapted to receive tubes from a source of, or receptacle for, liquid to be added to, or withdrawn from, the reservoir. Such means may conveniently take the form of a syringe such as shown schematically as 50 with a tube 51 to connect it to the appropriate fitting 48 or 49. The syringe may be manually operated or motor driven, or various other types of pumps or delivery systems could be used. Of course, electrodes 44 and 45 and tubes 46 and 47 could be positioned in the reservoirs by various other means and containers 37 and 38 could remain with open tops. An advantage of providing containers 37 and 38 with tops, and providing that the tops seal such containers, is that the pressure in the containers can then be controlled. Thus, a syringe or other delivery system can be used to pressurize a reservoir to force liquid into the capillary passage, or can be used to draw a partial vacuum in a reservoir to draw liquid from the opposite reservoir into the capillary passage. The unit described may be mounted on a base 52, if desired.

For the unit described, the capillary tube may vary in length as desired, but tube lengths between three centimeters and fifteen centimeters have been found satisfactory for various types of capillary electrophesis. Further, the diameter of the capillary passage may also vary as desired, with diameters of between 10 .mu.m and 100 .mu.m having been found satisfactory. Either round or square capillary passages may be used, but square passages have been found particularly suitable for use with the detector and detection method of the invention. When a square capillary is used, diameter of the capillary refers to the length of a side of the square. The size of the reservoir is not critical, although the volume of a reservoir must be large enough so that the capillary passage can be filled by the particular method being used to fill the capillary. In addition, the electrodes must be in contact with liquid in the reservoir. Thus, the volume of the reservoirs will generally be larger than the volume of the capillary passage extending between them. For example, in the configuration shown in FIGS. 6 and 7, reservoirs each having a volume of about 0.2 milliliters has been found satisfactory for various size capillary passages, such as a fifteen centimeter long passage of 20 .mu.m diameter.

The electrodes 44 and 45 are connected to a source of high voltage (not shown) by wires 53 and 54, respectively. The voltage will preferably be in the range of between 5 KV and 10 KV, depending upon the type of separation being used. Generally, higher voltages will result in faster separation times, but the voltage is limited by the current flow through the sample in the capillary passage which generates heat in the sample. The heat generation must be kept below the level of heat that is readily dissipated through the capillary tube or the capillary tube may explode. The current flow is generally monitored by monitoring current f