CHROMATOGRAPHIC BED INSERT

Abstract

A chromatographic bed insert includes a base having openings and an array of projection members positioned on the base and projecting substantially perpendicular to the base. The chromatographic bed insert has a displacement volume % D which is less than 50% of a volume defined by the chromatographic bed insert and is structured to reduce a hydraulic radius R.sub.H of a chromatography bed including the chromatographic bed insert by at least 25% compared to a corresponding chromatography bed which does not include the chromatographic bed insert.

Claims

1: A chromatographic bed insert, comprising: a base comprising a plurality of openings; and an array of projection members positioned on the base and projecting substantially perpendicular to the base, wherein the chromatographic bed insert has a displacement volume % D which is less than 50% of a volume defined by the chromatographic bed insert, and the chromatographic bed insert is configured to reduce a hydraulic radius R.sub.H of a chromatography bed comprising the chromatographic bed insert by at least 25% compared to a corresponding chromatography bed which does not comprise the chromatographic bed insert.

2: The chromatographic bed insert of claim 1, wherein the projection members comprise a free end and a fixed end which is connected to the base.

3: The chromatographic bed insert of claim 1, wherein each of the projection members has a projection member height, a first projection member thickness, and a second projection member thickness, and the projection members have a ratio of the first projection member thickness to the second projection member thickness of 1:1 to 20:1.

4: The chromatographic bed insert of claim 3, wherein each of the projection members has a ratio of the first projection member thickness to the projection member height of 1:2 to 1:20.

5: The chromatographic bed insert of claim 1, wherein the base comprises a plurality of base members positioned such that the base has the openings.

6: The chromatographic bed insert of claim 5, wherein the base members comprise a raised edge oriented in a direction substantially similar to the projection members.

7: The chromatographic bed insert of claim 1, wherein the base has the openings that form a pattern which is radially symmetric.

8: The chromatographic bed insert of claim 1, wherein the base has the openings that form a square grid.

9: The chromatographic bed insert of claim 1, wherein the base has the openings that form a hexagonal grid.

10: The chromatographic bed insert of claim 7, wherein the projection members are positioned on the base such that the array of projection members forms a pattern which is radially symmetric.

11: The chromatographic bed insert of claim 8, wherein the projection members are positioned on the base such that the array of projection members forms a square grid.

12: The chromatographic bed insert of claim 1, which comprises a plurality of layers each comprising the base and the array of projection members, wherein the layers include a first layer positioned on a second layer and form a stack in which the base of the first layer is positioned on the array of the projection members of the second layer.

13: The chromatographic bed insert of claim 12, wherein a second array of projection members associated with the second layer is aligned with a first array of projection members associated with the first layer.

14: The chromatographic bed insert of claim 12, wherein the first layer includes a first base, the second layer includes a second base, and each of the projection members in the second layer comprises a first end connected to the first base and a second end connected to the second base.

15: A chromatographic device, comprising: a chromatographic medium; and a chromatographic bed insert including a base comprising a plurality of openings, and an array of projection members positioned on the base and projecting substantially perpendicular to the base, wherein the chromatographic bed insert has a displacement volume % D which is less than 50% of a volume defined by the chromatographic bed insert, and the chromatographic bed insert is configured to reduce a hydraulic radius R.sub.H of the chromatographic device by at least 25% compared to a corresponding chromatographic device which does not comprise the chromatographic bed insert.

16: The chromatographic device of claim 15, wherein the chromatographic device has a corrected hydraulic radius R.sub.HC of less than 1 cm, and the corresponding chromatographic device which does not comprise the chromatographic bed insert has R.sub.H of at least 1 cm.

17: The chromatographic device of claim 15, wherein the chromatographic device has a hydraulic radius R.sub.HC of less than 0.75 cm, and the corresponding chromatographic device which does not comprise the chromatographic bed insert has R.sub.H of 1 to 5 cm.

18: The chromatographic device of claim 15, wherein the chromatographic medium comprises packed particles.

19: The chromatographic device of claim 18, wherein the particles are at least one selected from the group consisting of a synthetic resin particle, a polysaccharide particle, and an inorganic material particle.

20: A method of chromatographically separating constituents of a liquid mixture, the method comprising: passing the liquid mixture and an eluting solvent through a chromatographic device; and collecting fractions comprising at least one selected from the group consisting of a constituent of the liquid mixture and the eluting solvent, wherein the chromatographic device includes a chromatographic medium; and a chromatographic bed insert including a base comprising a plurality of openings, and an array of projection members positioned on the base and projecting substantially perpendicular to the base, the chromatographic bed insert has a displacement volume % D which is less than 50% of a volume defined by the chromatographic bed insert, and the chromatographic bed insert is configured to reduce a hydraulic radius R.sub.H of the chromatographic device by at least 25% compared to a corresponding chromatographic device which does not comprise the chromatographic bed insert.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0028] For a better understanding of the various embodiments described herein, and to show more clearly how these various embodiments may be carried into effect, reference will be made, by way of example, to the accompanying drawings which show at least one example embodiment, and which are now described. The drawings are not intended to limit the scope of the teachings described herein.

[0029] FIGS. 1A-1C depict a chromatography bed insert according to an exemplary embodiments of the present disclosure, where FIG. 1A shows a side-on view, FIG. 1B shows a top-down view, and FIG. 1C shows an angled view.

[0030] FIGS. 2A-2C depict a chromatography bed insert according to an exemplary embodiment of the present disclosure, where FIG. 2A shows a side-on view, FIG. 2B shows a top-down view, and FIG. 2C shows an angled view.

[0031] FIG. 3A depicts a base having a square grid pattern of openings, according to an exemplary embodiment of the present disclosure.

[0032] FIG. 3B depicts a base having a radially symmetric pattern of openings, according to an exemplary embodiment of the present disclosure.

[0033] FIG. 3C depicts a base having a hexagonal grid pattern of openings, according to an exemplary embodiment of the present disclosure.

[0034] FIG. 4A depicts a chromatography bed insert with a base having a square grid pattern and projection members having a circular cross section, according to an exemplary embodiment of the present disclosure.

[0035] FIG. 4B shows an enlarged view of the exemplary chromatography bed insert shown in FIG. 4A.

[0036] FIG. 4C shows a side-view of the exemplary chromatography bed insert shown in FIG. 4A.

[0037] FIG. 5A depicts a chromatography bed insert with a base having a square grid pattern and projection members having an elliptical cross section, according to an exemplary embodiment of the present disclosure.

[0038] FIG. 5B shows an enlarged view of the exemplary chromatography bed insert shown in FIG. 5A in which an alternating pattern of projection members is visible.

[0039] FIGS. 6A and 6B depict a chromatography bed insert having the raised edge present on the base members, according to an exemplary embodiment of the present disclosure.

[0040] FIGS. 7A-7D depict chromatography bed inserts having comprising two or more layers, according to an exemplary embodiment of the present disclosure.

[0041] FIGS. 8A and 8B show schematic illustrations of chromatography bed inserts with labeled parameters used in Tables 1-5.

[0042] FIG. 9 depicts a chromatographic device which includes a chromatography bed insert, according to an exemplary embodiment of the present disclosure.

[0043] FIG. 10 is a photograph of a chromatographic device which includes a chromatography bed insert, according to an exemplary embodiment of the present disclosure.

DETAILED DESCRIPTION OF THE INVENTION

[0044] In the following description, it is understood that other embodiments may be utilized and structural and operational changes may be made without departure from the scope of the present embodiments disclosed herein.

Definitions

[0045] The terms a or an, as used herein, are defined as one or more than one. The term plurality, as used herein, is defined as two or more than two. The term another, as used herein, is defined as at least a second or more. The terms including and/or having, as used herein, are defined as comprising (i.e., open language). Reference throughout this document to one embodiment, certain embodiments, an embodiment, an implementation, an example or similar terms means that a particular feature, structure, or characteristic described in connection with the embodiment is included in at least one embodiment of the present disclosure. Thus, the appearances of such phrases or in various places throughout this specification are not necessarily all referring to the same embodiment.

[0046] Furthermore, the particular features, structures, or characteristics may be combined in any suitable manner in one or more embodiments without limitation.

[0047] As used herein, the terms optional or optionally means that the subsequently described event(s) can or cannot occur or the subsequently described component(s) may or may not be present (e.g., 0 wt. %).

Chromatography Bed Insert

[0048] According to a first aspect, the present disclosure relates to a chromatographic bed insert (herein after referred to as an insert). The insert comprises a base comprising a plurality of openings and an array of projection members, the projection members being disposed on the base and projecting substantially perpendicular to the base. A chromatographic bed is shown in FIGS. 1A-1C and FIGS. 2A-2C, according to exemplary embodiments of the present disclosure.

[0049] In general, the base can have any suitable shape. For example, in some embodiments, the base has a circular disc shape. That is, the base is substantially circular profile when viewed from above, having a base diameter and a base thickness. A circular such base may be particularly advantageous to fit or be compatible with conventional chromatography columns. Typical conventional chromatography columns have a circular cross-section. Matching the profile of the base with the cross-section of a conventional chromatography column may be advantageous for ensuring, for example, a proper orientation of the insert, a seal between the insert and the conventional chromatography column, a secure placement of the insert (e.g., one which is substantially free of insert movement during use), or a combination of these. In other examples, the base may be a substantially elliptical profile, a polygonal profile such as a triangle, square, rectangle, rhombus, parallelogram, pentagon, hexagon, heptagon, octagon, and the like, or any suitable other profile known to one of ordinary skill in the art. In some embodiments, the plurality of openings is formed in the base. That is, the base comprises a contiguous shape of a base material in which the openings are formed or disposed. In some embodiments, the base comprises a plurality of base members arranged to form the plurality of openings. That is, the openings are formed from spaces between the base members placed in a suitable arrangement. Such base members may be connected in any suitable manner, such as being joined, abutted, overlapped, or the like. In some embodiments, the base comprises a first layer of base members which comprises base members arranged in a first direction (e.g., in an X direction as per FIG. 1B) and a second layer of base members which comprises base members arranged in second direction (e.g., in a Y direction as per FIG. 1B). In some embodiments, the base comprises a single layer of base members arranged to form the openings. In some embodiments, the base may have a base perimeter member. Such a perimeter member can be a base member which forms a solid perimeter of the base. FIG. 3A shows an example of a base which contains a perimeter member. In some embodiments, the base may be devoid of such a perimeter member. The exemplary embodiment depicted in FIGS. 1A-1C shows an insert which lacks such a perimeter member.

[0050] The base members can have any suitable shape known to one of ordinary skill in the art. The shape of the base members can be defined by a cross-section. Examples of suitable cross-sectional shapes the base members may have include, but are not limited to irregular shapes, circles, ellipses, squares, rectangles, rhombuses, parallelograms, pentagons, hexagons, heptagons, octagons, and the like or combinations thereof.

[0051] In general, the openings may have any suitable shape known to one of ordinary skill in the art. For example, the openings may be circular, elliptical, polygonal, irregularly-shaped, or combinations thereof. In some embodiments, the openings are circular openings formed in the base. In the exemplary embodiment shown in FIG. 1B, the openings are square where complete (i.e., having an opening perimeter formed by the base or base members) and irregular where incomplete (i.e., not having an opening perimeter formed by the base or base members).

[0052] In some embodiments, the openings are arranged to form a pattern. In general, the openings may be arranged to form any suitable pattern known to one of ordinary skill in the art. In some embodiments, the openings are arranged to form a pattern which is radially symmetric. An example of such a radially symmetric pattern is shown in FIG. 3B. In this exemplary radially symmetric pattern, the base comprises base members arranged radially outward from a base center and circular base members arranged circumferentially at various distances from the base center. In this example, the openings do not have a uniform size or a uniform shape. It may be noted that the exemplary base shown in FIG. 3B does not have a perimeter member and contains both complete openings and incomplete openings.

[0053] In some embodiments, the openings are arranged to form a grid. The grid may be formed from the base members. In general, the grid may have any suitable shape or combination of shapes which is capable of tessellating to cover a plane. Examples of such suitable shapes include, but are not limited to triangles, squares, rectangles, rhombuses, hexagons, a mixture of squares and triangles, a mixture of hexagons and triangles, a mixture of hexagons, squares, and triangles, a mixture of octagons and squares, a mixture of dodecagons and triangles, a mixture of dodecagons, hexagons, and squares, and irregular shapes capable of tessellating to cover a plane. The openings of the grid may be of uniform size or may be of non-uniform size. The grid can comprise complete and incomplete openings as described above. An exemplary embodiment of a base having a square grid of openings is shown in FIGS. 3B and 4A-4B. An exemplary embodiment of a base having a hexagonal grid of openings is shown in FIG. 3C.

[0054] The projection members are disposed on the base and project or extend in a direction substantially perpendicular to the base (e.g., in a Z direction as in FIG. 1A). In general, the projection members may be any suitable shape known to one of ordinary skill in the art. The shape of the projection members can be defined by a cross-section. Examples of suitable cross-sectional shapes the base members may have include, but are not limited to irregular shapes, circles, ellipses, squares, rectangles, rhombuses, parallelograms, pentagons, hexagons, heptagons, octagons, and the like, or combinations thereof.

[0055] The projection members may have a size which is defined by a projection member height which refers to a maximum distance in a direction perpendicular to the base (i.e., a Z-direction as shown in FIG. 1A), a first projection member thickness (e.g., a length), and a second projection member thickness (e.g., a width). For projection members which have a square cross-section, the first projection member thickness (length), and the second projection member thickness (width) are equal. For projection members which have a circular cross-section, the length and width are both equal and are the diameter of the circular cross-section. For projection members which have an elliptical cross-section, the first projection member thickness (length) refers to a maximum length, and a second projection member thickness (width) refers to a maximum width. In some embodiments, the projection members have a ratio of the first projection member thickness to the second projection member thickness of 1:1 to 20:1, preferably 1:1 to 10:1, preferably 1:1 to 7:1, preferably 1.5:1 to 6.5:1, preferably 2:1 to 5:1, preferably 2.25:1 to 4.75:1, preferably 2.5:1 to 4.5:1, preferably 2.75:1 to 4.25:1, preferably 3:1 to 4:1. In some embodiments, the projection members have a rectangular cross section and an aspect ratio of 1.25:1 to 7:1, preferably 1.5:1 to 6.5:1, preferably 2:1 to 5:1, preferably 2.25:1 to 4.75:1, preferably 2.5:1 to 4.5:1, preferably 2.75:1 to 4.25:1, preferably 3:1 to 4:1. In some embodiments, the projection members have an elliptical cross section and an aspect ratio of 1.25:1 to 7:1, preferably 1.5:1 to 6.5:1, preferably 2:1 to 5:1, preferably 2.25:1 to 4.75:1, preferably 2.5:1 to 4.5:1, preferably 2.75:1 to 4.25:1, preferably 3:1 to 4:1.

[0056] In general, the projection members may be disposed on the base in any suitable arrangement. The projection members are preferably positioned so as to not obstruct the openings present in the base. In some embodiments, the projection members are attached to or disposed on the base members. The projection members may, in general, be attached to or disposed on any part of the base members. In some embodiments, the projection members are attached to or disposed on the base at locations where base members connect or intersect. An example of this is shown in FIGS. 4A-4C. These figures show projection members having a circular cross-section disposed at intersections or junctions of base members which form a square grid. The arrangement shown in the exemplary embodiments depicted in FIGS. 4A-4C results in the projection members being arranged in a square grid. Another example is shown in FIGS. 5A-6B. These figures show projection members having an elliptical cross-section disposed at intersections or junctions of base members which form a square grid. In these the exemplary embodiments, the projection members have a length which is oriented substantially parallel to the base members. Such an orientation may be advantageous for structural stability or for preventing obstruction of the openings.

[0057] The projection members may be arranged in any suitable arrangement. Such a projection member arrangement may be the same as or may be different from the arrangement of the base members. For example, if the base members form a hexagonal grid, the projection members may be arranged to form a hexagonal arrangement or a non-hexagonal arrangement. In some embodiments, the projection members are disposed on the base such that the array of projection members forms a grid. In some embodiments, the projection members are disposed on the base such that the array of projection members forms a pattern which is radially symmetric.

[0058] There is no specific limit on a number or density of projection members which may be present. FIGS. 1A-1C depict an exemplary inset having a lower projection member density and a closer spaced arrangement of smaller openings compared with the exemplary inset shown in FIGS. 2A-2C. Projection member density may refer to a number of projection members per unit area encompassed by the base.

[0059] In embodiments which have projection members having an asymmetric cross-section (e.g., rectangular or elliptical), the projection members may be arranged in an alternating arrangement. Such an arrangement may have the projection members arranged such that a first set of projection members is oriented such that the length is oriented in a first orientation (e.g., along an X-direction as shown in FIGS. 6A-6B) and a second set of projection members is oriented such that the length is oriented in a second orientation (e.g., along a Y-direction as shown in FIGS. 6A-6B). Such a first set of projection members can be any suitable number of projection members or any suitable fraction of a total number of projection members present. The alternating may occur with any suitable pattern or frequency. For example, adjacent projection members may alternate moving along an X-direction, a Y-direction, or both. An example of alternating in both the X- and Y-directions is shown in FIGS. 6A and 6B.

[0060] In some embodiments, the projection members each comprise a fixed end which is connected to the base and a free end. The free end, being the end which is at an opposite extent of the projection member from the fixed end connected to the base, is not connected to the base. A projection member may be connected to any number of other projection members. Such a connection may be formed by any suitable structure, for example struts or base members from the base of another layer described below. The struts may be arranged in any suitable arrangement and be oriented in any suitable direction. For example, there may be struts which are disposed between adjacent projection members and be oriented in a direction in an X-Y plane (using the labeled axes shown in FIG. 1B). In another example, there may be struts which are disposed between adjacent projection members and be oriented in in a diagonal direction such that the strut is oriented with a Z-axis component to a vector describing the orientation (using the labeled axes shown in FIG. 1A). In some embodiments, a projection member may be unconnected to another projection member.

[0061] In some embodiments, the insert comprises a cap. The cap may be similar to the base as described above. That is, the cap comprises a plurality of openings. The cap may be similar to or different from, in any aspect, the corresponding base of the insert. The exemplary embodiments depicted in FIGS. 1A-1C and 2A-2C show inserts which have caps. In some embodiments, the cap is connected to the projection members. In some embodiments, the cap is not connected to the projection members. In some embodiments, the cap is connection to a first set of projection members and is not connected to a second set of projection members. Projection members connected to the cap may be the same as or different from projection members which are not connected to the cap.

[0062] In some embodiments, the base and/or cap comprises base members which comprise a raised edge. The raised edge is oriented in a direction substantially similar to the projection members. For example, a raised edge on a base member can be oriented toward the free end of the projection members and/or cap as appropriate. The raised edge can have any suitable profile or cross-section. An exemplary embodiment having the raised edge is shown in FIGS. 5A and 5B. The raised edge is shown as structural element 510 in these figures. In this exemplary embodiment, the raised edge has a substantially triangular cross-section. These triangular raised edges are disposed on substantially rectangular base members. The resulting overall cross-section is an irregular pentagon having a house shape. The raised edge may be advantageous for directing a flow of material though a chromatographic device which contains the insert.

[0063] In some embodiments, the insert comprises two or more layers. Each of these layers comprises a base and an array of projection members as described above. The layers can be arranged to form a stack in which the base of an upper layer is located on top of the array of projection members of a lower layer. In general, there is no limit to the number of layers which may be present in an insert. In some embodiments, the projection members of a lower layer are connected to the base of an upper layer. In some embodiments, the projection members of a lower layer do not comprise a free end. In some embodiments, the projection members of a lower layer are not connected to the base of an upper layer. In some embodiments, the projection members of a lower layer comprise a free end. Such an arrangement may form a gap between the base of the upper lay and the projection members of the lower layer. In some embodiments, the inset comprises interlayer support members which are disposed between the bases and connect each base to at least one other base. The interlayer support members may be substantially the same as the projection members or may be different. Such differences can be in any suitable parameter, for example length, width, aspect ratio, cross-sectional shape, etc., as described above. In general, the same description which applies to the projection members may apply to the interlayer support members. In some embodiments, the interlay support members have a greater thickness and/or width compared to the projection members. Such increased thickness and/or width may be advantageous for providing additional structural support to the insert. FIGS. 7A-7D depict an insert having two layers, according to an exemplary embodiment of the present disclosure.

[0064] In some embodiments, a lower array of projection members associated with a lower layer is aligned with an upper array of projection members associated with an upper layer. Such alignment may be an alignment of position, of orientation, or both. That is, the projection members may be oriented and positioned such that the upper layer projection members occupy a similar portion in the X-Y plane (using the coordinate system defined in FIG. 1B) as the projection members of the lower layer.

[0065] In some embodiments, the cap of one layer forms the base of another layer. That is, the same material or structure(s) present which are connected to a set of projection members which are disposed on a first base and form a first layer are connected to a set of projection members disposed on the material or structure and form a second layer.

[0066] In general, there is no restriction on what material or materials may be used to construct the insert. Examples of suitable materials which may be used include, but are not limited to glasses such as soda lime glass, borosilicate glass, fused quartz, tempered glass, and laminated glass; polymers such as polycarbonate, polystyrene, polypropylene, polyethylene, polyvinylidene difluoride (PVDF), polytetrafluoroethylene (PTFE), polymethylpentene, polyvinyl chloride (PVC), polysulfone, polyethylene terephthalate, polyester, polyamide, polyetheramide, and blends or copolymers thereof; metals such as stainless steel, aluminum, titanium, alloys thereof, and the like. Preferred materials which may be used are polypropylene, polyethylene, and stainless steel. Polymers may be polymer-comprising composites or reinforced polymers. For example, the polymers may be reinforced with fibers such as glass fibers, wood fibers, carbon fibers, or aramid fibers; inorganic particulates; or mixtures thereof. Such materials may be combined in any suitable manner. For example, different parts of the insert can be constructed from or comprise different materials. In another example, the same part of the insert can be constructed from or comprise different materials, such as a metal coated with a polymer.

[0067] The insert has a displacement volume (% D) which is less than 50%, preferably less than 45%, preferably less than 40%, preferably less than 35%, preferably less than 30%, preferably less than 27.5%, preferably less than 25%, preferably less than 22.5%, preferably less than 20%, preferably less than 18%, preferably less than 16% of a volume defined by the chromatographic bed insert. That is, based on an area encompassed by the base and a height of the projection members, and if applicable, the cap, the inset occupies less than the percentage described above. In some embodiments, the insert has a displacement volume (% D) which is at least 5%, preferably at least 7.5%, preferably at least 10%, preferably at least 11%, preferably at least 11.5%, preferably at least 12%, preferably at least 12.5%, preferably at least 13%, preferably at least 14%, preferably at least 15%, preferably at least 15.5% of a volume defined by the chromatographic bed insert. The remaining volume defined by the chromatographic bed insert is defined by the openings and spaces between the projection members. In some embodiments, the volume defined by the openings and spaces between the projection members is greater than 50%, preferably greater than 52.5%, preferably greater than 55%, preferably greater than 57.5%, preferably greater than 60%, preferably greater than 62.5%, preferably greater than 65%, preferably greater than 67.5%, preferably greater than 70%, preferably greater than 72.5%, preferably greater than 75%, preferably greater than 77.5%, preferably greater than 80%, preferably greater than 82.5%, preferably greater than 85%, preferably greater than 84% of a volume defined by the chromatographic bed insert. In some embodiments, the volume defined by the openings and spaces between the projection members is less than 95%, preferably less than 92.5%, preferably less than 90%, preferably less than 89%, preferably less than 88.5%, preferably less than 88%, preferably less than 87.5%, preferably less than 87%, preferably less than 86.5%, preferably less than 86%, preferably less than 85.5%, preferably less than 85%, preferably less than 84.5% of a volume defined by the chromatographic bed insert.

[0068] The chromatographic bed insert is configured to reduce the hydraulic radius (RH) of a chromatography bed comprising the chromatographic bed insert by at least 25%, preferably by at least 30%, preferably by at least 35%, preferably by at least 40%, preferably by at least 45%, preferably by at least 50%, preferably by at least 55%, preferably by at least 60%, preferably by at least 65%, preferably by at least 70%, preferably by at least 75%, preferably by at least 77.5%, preferably by at least 80%, preferably by at least 82.5%, preferably by at least 85%, preferably by at least 87.5%, preferably by at least 90%, preferably by at least 91%, preferably by at least 92%, preferably by at least 93%, preferably by at least 94%, preferably by at least 95%, preferably by at least 95.5%, preferably by at least 96%, preferably by at least 96.5%, preferably by at least 97%, preferably by at least 97.5%, preferably by at least 98%, preferably by at least 98.5%, preferably by at least 99%, preferably by at least 99.5%, compared to a corresponding chromatography bed which does not comprise the chromatographic bed insert.

[0069] As used herein, corresponding chromatography bed which does not comprise the chromatographic bed insert refers to a chromatography bed which is substantially the same as another chromatography bed which contains the insert described above, except for the absence of said insert. Such a chromatography bed may have substantially the same dimensions and chromatographic material including material type, particle size, packing density, or other suitable measure. Such a chromatography bed may have substantially the same amount of chromatographic material, but such material not be displaced by the volume taken up by the material of the insert.

Chromatographic Device

[0070] The present disclosure also relates to a chromatographic device comprising the insert described above and a chromatographic medium.

[0071] In general, the chromatographic medium may be any suitable chromatographic medium known to one of ordinary skill in the art. In some embodiments, the chromatographic medium comprises packed particles. In some embodiments, the particles are at least one selected from the group consisting of a synthetic resin particle, a polysaccharide particle, and an inorganic material particle. In some embodiments, the particles are polysaccharide particles. In preferred embodiments, the particles are synthetic resin particles. Such particles may be suitable for any type of chromatographic separation, such as size exclusion chromatography, ion exchange chromatography, affinity chromatography, or combinations thereof. The particles may be functionalized. Such functionalization can involve or result in the presence of suitable functional groups and/or moieties on the surface of the particle. For example, the particles may be functionalized with an antigen, an antibody, an enzyme, a substrate, a receptor, or a ligand. Such functionalization may be advantageous for separation or purification of biological analytes or from mixtures of biological origin.

[0072] In some embodiments, the corresponding chromatographic device which does not comprise the chromatographic bed insert has a hydraulic radius (R.sub.H) of at least 1 cm, preferably 1 to 5 cm, preferably 1.5 to 4.5 cm, preferably 1.75 to 4.25 cm, preferably 2 to 4 cm, preferably 2.25 to 3.75 cm, preferably 2.5 to 3.5 cm and the chromatographic device has a corrected hydraulic radius (R.sub.HC) of less than 1 cm, preferably less than 0.95 cm, preferably less than 0.90 cm, preferably less than 0.85 cm, preferably less than 0.80 cm, preferably less than 0.75 cm, preferably less than 0.70 cm, preferably less than 0.65 cm, preferably less than 0.60 cm, preferably less than 0.55 cm, preferably less than 0.50 cm, preferably less than 0.45 cm, preferably less than 0.40 cm, preferably less than 0.35 cm, preferably less than 0.30 cm, preferably less than 0.25 cm, preferably less than 0.20 cm, preferably less than 0.15 cm, preferably less than 0.10 cm, preferably less than 0.05 cm. In some embodiments, the corresponding chromatographic device which does not comprise the chromatographic bed insert has a hydraulic radius (R.sub.H) of 1 to 5 cm and the chromatographic device has a hydraulic radius (R.sub.HC) of less than 0.75 cm.

[0073] Exemplary chromatographic devices are shown in FIGS. 9 and 10.

[0074] In some embodiments, the chromatographic device has a compression factor of 1.05 to 1.5, preferably 1.08 to 1.4, preferably 1.1 to 1.3, preferably 1.13 to 1.2. The compression factor is a ratio of the volume occupied by an amount of chromatographic medium in a loose state to the volume occupied by the same amount of chromatographic medium after packing to form the chromatographic device.

[0075] In some embodiments, the chromatographic device has a permeability of 1,000 to 10,000 cm.sup.2/bar-hour, preferably 1250 to 9750 cm.sup.2/bar-hour, preferably 1500 to 9500 cm.sup.2/bar-hour, preferably 1750 to 9250 cm.sup.2/bar-hour, preferably 2000 to 9000 cm.sup.2/bar-hour, preferably 2250 to 8750 cm.sup.2/bar-hour, preferably 2500 to 8500 cm.sup.2/bar-hour, preferably 2750 to 8250 cm.sup.2/bar-hour, preferably 3000 to 8000 cm.sup.2/bar-hour, preferably 3250 to 7750 cm.sup.2/bar-hour, preferably 3500 to 7500 cm.sup.2/bar-hour. Generally, the permeability refers to a solvent permeability. Such a solvent may be any suitable solvent known to one of ordinary skill in the art.

Method of Chromatographic Separation

[0076] The present disclosure also relates to a method of chromatographically separating constituents of a liquid mixture. The method involves passing the liquid mixture and an eluting solvent through the chromatographic device described above and collecting fractions comprising at least one selected from the group consisting of a constituent of the liquid mixture and the eluting solvent.

[0077] In general, the passing may be performed by any suitable technique or with any suitable parameters known to one of ordinary skill in the art. Example of such parameters include flow rate, pressure, concentration, and temperature. For example, the liquid mixture and/or the eluting solvent may be passed using a gravity-fed mechanism. In another example, the liquid mixture and/or the eluting solvent may be passed though the application of pressure. The method may be a method of liquid chromatography. Liquid chromatography (LC) refers to a process of selective retention of one or more components of a fluid solution as the fluid uniformly percolates through a column of a finely divided substance (a chromatographic medium), or through capillary passageways. The retention results from the distribution of the components of the mixture between one or more stationary phases and the bulk fluid, (i.e., mobile phase), as this fluid moves relative to the stationary phase(s). Liquid chromatography includes, without limitation, reverse phase liquid chromatography (RPLC), high performance liquid chromatography (HPLC), ultra-high performance liquid chromatography (UHPLC), supercritical fluid chromatography (SFC), and ion-exchange chromatography.

[0078] As used herein, the term HPLC or high performance liquid chromatography refers to liquid chromatography in which the degree of separation is increased by forcing the mobile phase under pressure through a stationary phase, typically a densely packed column. As used herein, the term UHPLC or ultra-high performance liquid chromatography refers to a liquid chromatography technique similar to HPLC except the operating pressures are higher than HPLC (e.g., about 100 MPa vs. about 40 MPa), the columns are typically smaller in diameter, and resolution can be greater.

[0079] Ion-exchange chromatography separates molecules based on their respective charged groups. Ion-exchange chromatography retains analyte molecules on a column based on coulombic (ionic) interactions. Molecules undergo electrostatic interactions with opposite charges on the stationary phase matrix. The stationary phase typically consists of an immobile matrix that contains charged ionizable functional groups or ligands. To achieve electroneutrality, these inert charges couple with exchangeable counterions in the solution. Ionizable molecules that are to be purified compete with these exchangeable counterions for binding to the immobilized charges on the stationary phase. These ionizable molecules are retained or eluted based on their charge. Initially, molecules that do not bind or bind weakly to the stationary phase are first to wash away. Altered conditions are needed for the elution of the molecules that bind to the stationary phase. The concentration of the exchangeable counterions, which competes with the molecules for binding, can be increased or the pH can be changed. A change in pH affects the charge on the particular molecules and, therefore, alters binding. Additionally, concentration of counterions can be gradually varied to separate ionized molecules. This type of elution is called gradient elution. On the other hand, step elution can be used in which the concentration of counterions is varied in one step.

[0080] Where a numerical limit or range is stated herein, the endpoints are included. Also, all values and subranges within a numerical limit or range are specifically included as if explicitly written out.

[0081] Obviously, numerous modifications and variations of the present invention are possible in light of the above teachings. It is therefore to be understood that, within the scope of the appended claims, the invention may be practiced otherwise than as specifically described herein.

[0082] Embodiments of the present disclosure may also be as set forth in the following parentheticals. [0083] (1) A chromatographic bed insert, comprising a base comprising a plurality of openings, and an array of projection members, the projection members being disposed on the base and projecting substantially perpendicular to the base, wherein the chromatographic bed insert has a displacement volume (% D) which is less than 50% of a volume defined by the chromatographic bed insert, and the chromatographic bed insert is configured to reduce the hydraulic radius (Rn) of a chromatography bed comprising the chromatographic bed insert by at least 25% compared to a corresponding chromatography bed which does not comprise the chromatographic bed insert. [0084] (2) The chromatographic bed insert of (1), wherein the projection members comprise a fixed end which is connected to the base and a free end. [0085] (3) The chromatographic bed insert of any one of (1) to (2), wherein each projection member has a projection member height, a first projection member thickness, and a second projection member thickness, and the projection members have a ratio of the first projection member thickness to the second projection member thickness of 1:1 to 20:1. [0086] (4) The chromatographic bed insert of (3), wherein the projection members have a ratio of the first projection member thickness to the projection member height of 1:2 to 1:20. [0087] (5) The chromatographic bed insert of any one of (1) to (4), wherein the base comprises a plurality of base members positioned such that the base has the openings. [0088] (6) The chromatographic bed insert of (5), wherein the base members comprise a raised edge oriented in a direction substantially similar to the projection members. [0089] (7) The chromatographic bed insert of any one of (1) to (6), wherein the base has the openings that form a pattern which is radially symmetric. [0090] (8) The chromatographic bed insert of any one of (1) to (7), wherein the base has the openings that form a square grid. [0091] (9) The chromatographic bed insert of any one of (1) to (7), wherein the base has the openings that form a hexagonal grid. [0092] (10) The chromatographic bed insert of (7), wherein the projection members are positioned on the base such that the array of projection members forms a pattern which is radially symmetric. [0093] (11) The chromatographic bed insert of (8), wherein the projection members are positioned on the base such that the array of projection members forms a square grid. [0094] (12) The chromatographic bed insert of any one of (1) to (10), which comprises a plurality of layers each comprising the base and the array of projection members, wherein the layers include a first layer positioned on a second layer and form a stack in which the base of the first layer is positioned on the array of the projection members of the second layer. [0095] (13) The chromatographic bed insert of (11), wherein a second array of projection members associated with the second layer is aligned with a first array of projection members associated with the first layer. [0096] (14) The chromatographic bed insert of any one of (11) to (12), wherein the projection members comprise a first end connected to a first base and a second end connected to a second base. [0097] (15) A chromatographic device, comprising a chromatographic bed insert, comprising a base comprising a plurality of openings, and an array of projection members, the projection members being disposed on the base and projecting substantially perpendicular to the base, and a chromatographic medium, wherein the chromatographic bed insert has a displacement volume (% D) which is less than 50% of a volume defined by the chromatographic bed insert, and the chromatographic bed insert is configured to reduce the hydraulic radius (R.sub.H) of the chromatographic device by at least 25% compared to a corresponding chromatographic device which does not comprise the chromatographic bed insert. [0098] (16) The chromatographic device of (15), wherein the corresponding chromatographic device which does not comprise the chromatographic bed insert has a hydraulic radius (R.sub.H) of at least 1 cm and the chromatographic device has a corrected hydraulic radius (RHC) of less than 1 cm. [0099] (17) The chromatographic device of (16), wherein the corresponding chromatographic device which does not comprise the chromatographic bed insert has a hydraulic radius (R.sub.H) of 1 to 5 cm and the chromatographic device has a hydraulic radius (R.sub.HC) of less than 0.75 cm. [0100] (18) The chromatographic device of any one of (15) to (17), wherein the chromatographic medium comprises packed particles. [0101] (19) The chromatographic device of (18), wherein the particles are at least one selected from the group consisting of a synthetic resin particle, a polysaccharide particle, and an inorganic material particle. [0102] (20) A method of chromatographically separating constituents of a liquid mixture, the method comprising passing the liquid mixture and an eluting solvent through the chromatographic device of any one of (15) to (19), and collecting fractions comprising at least one selected from the group consisting of a constituent of the liquid mixture and the eluting solvent.

[0103] While this specification contains many specific implementation details, these should not be construed as limitations on the scope of what may be claimed, but rather as descriptions of features that may be specific to particular embodiments.

[0104] Certain features that are described in this specification in the context of separate embodiments can also be implemented in combination in a single embodiment. Conversely, various features that are described in the context of a single embodiment can also be implemented in multiple embodiments separately or in any suitable sub-combination. Moreover, although features may be described above as acting in certain combinations and even initially claimed as such, one or more features from a claimed combination can in some cases be excised from the combination, and the claimed combination may be directed to a sub-combination or variation of a sub-combination.

[0105] Thus, the foregoing discussion discloses and describes merely exemplary embodiments of the present disclosure. As will be understood by those skilled in the art, the present disclosure may be embodied in other specific forms without departing from the spirit thereof. Accordingly, the disclosure of the present disclosure is intended to be illustrative, but not limiting of the scope of the disclosure, as well as other claims. The disclosure, including any readily discernible variants of the teachings herein, defines, in part, the scope of the foregoing claim terminology such that no inventive subject matter is dedicated to the public.

[0106] The examples below are intended to further illustrate protocols for preparing, characterizing, and using the chromatography bed insert and the chromatographic device as well as performing the method described above and are not intended to limit the scope of the claims.

EXAMPLES

Corrected Hydraulic Radius (R.SUB.HC.)

[0107] The following example provides exemplary calculations for corrected hydraulic radius R.sub.HC using the following variables and referring to FIG. 8A and FIG. 8B. [0108] A=area normal to flow [cm.sup.2] [0109] P=wetted perimeter normal to flow [cm] [0110] R.sub.H=Hydraulic Radius [cm] [0111] A.sub.P=cross-sectional area of individual projection member normal to flow [cm.sup.2] [0112] P.sub.P=perimeter of projection member cross-section normal to flow [cm] [0113] N=number of projection members [#] [0114] A.sub.I=cross-sectional area of the insert [cm.sup.2] [0115] P.sub.I=perimeter of the insert [cm] [0116] A.sub.C=corrected cross-sectional area normal to flow [cm.sup.2] [0117] P.sub.C=corrected wetted perimeter normal to flow [cm] [0118] R.sub.HC=corrected Hydraulic Radius [cm] [0119] L=maximum length of projection member cross-section [cm] [0120] W=maximum width of a projection member cross-section [cm] [0121] Aspect Ratio=ratio of L to W [0122] % D=percent displacement of initial hydraulic chamber volume by insert [%] [0123] CF=Compression Factor

[0124] For an area A normal to flow with a perimeter P as shown in FIG. 8A, the hydraulic radius is defined as:

[00001]$\begin{array}{cc}{R}_H=A/P& \left(\mathrm{Equation}1\right)\end{array}$

[0125] The addition on wetted perimeter via non intersecting projection members of area A.sub.P and a wetted perimeter P.sub.P in a quantity of N as shown in FIG. 8B may significantly modify both the cross-sectional area and wetted perimeter of the hydraulic chamber as shown by the equations below:

[00002]$\begin{array}{cc}{A}_I=N*A_P& \left(\mathrm{Equation}2\right)\end{array}$$\begin{array}{cc}{P}_I=N*P_P& \left(\mathrm{Equation}3\right)\end{array}$$\begin{array}{cc}{A}_C=A-N*A_P=A-A_I& \left(\mathrm{Equation}4\right)\end{array}$$\begin{array}{cc}{P}_C=P+N*P_P=P+P_I& \left(\mathrm{Equation}5\right)\end{array}$

[0126] Addition of projection members may reduce the wetted cross-sectional area since the projection members are solid and not open to flow. Addition of projection members may be additive to the wetted perimeter since each projection member provides additional wetted perimeter.

[0127] The corrected hydraulic radius R.sub.HC is then defined as:

[00003]$\begin{array}{cc}{R}_{\mathrm{HC}}=A_C/P_C=\left(A-N*A_P\right)/\left(P+N*P_P\right)& \left(\mathrm{Equation}6\right)\end{array}$

[0128] The percent displacement of the projection members is of interest to be reduced since area occupied by the projection member reduces the overall hydraulic chamber volume available for chromatographic media. Percent displacement by the projection members of an insert in a hydraulic chamber at any given cross-section normal to flow can be defined as:

[00004]$\begin{array}{cc}\%D=N*A_P/A*100\%& \left(\mathrm{Equation}7\right)\end{array}$

[0129] Effective insert designs will reduce both R.sub.HC and % D, preferably to values of less than 1 cm, preferably less than 0.75 cm, preferably less than 0.5 cm and less than 50%, preferably less than 37.5%, preferably less than 25%. As demonstrated in the equations provided, increasing P.sub.P while decreasing A.sub.P achieves both objectives. Additionally, increasing N will reduce R.sub.HC but increase % D.

[0130] It is known that wall effect have can have an effect on packed beds at 25 cm diameter (R.sub.H=6.5 cm) or less, with increase effects observed at 2.5 cm diameter (R.sub.H=0.625 cm) or less. (See, Physical and Functional Properties of Chromatography MediaA Down Scale Study, E. Hennson, Uppsala University thesis.) Therefore, combinations of A.sub.P, P.sub.P, N that may provide an R.sub.HC of 1 cm for hydraulic chambers of a cross-sectional areas, A, that may be of 50 cm.sup.2 or more as desired.

[0131] The projection member profile shape and overall area are the primary parameters of the P.sub.P/A.sub.P relationship. A means to increase the ratio of P.sub.P/A.sub.P is to increase the aspect ratio of the projection member shape, as defined by:

[00005]$\begin{array}{cc}\mathrm{AR}=L/W& \left(\mathrm{Equation}8\right)\end{array}$

[0132] In the case of a rectangular projection member profile, the A.sub.P and P.sub.P of a projection member cross-section can be defined as:

[00006]$\begin{array}{cc}{A}_P=L*W& \left(\mathrm{Equation}9\right)\end{array}$$\begin{array}{cc}{P}_P=2*L+2*W& \left(\mathrm{Equation}10\right)\end{array}$

[0133] The P.sub.P/A.sub.P relationship can be expressed in terms of AR and A.sub.P as:

[00007]$\begin{array}{cc}{P}_P/A_p=2*\left(1+1/\mathrm{AR}\right)*\mathrm{Sqrt}\left(\mathrm{AR}/A_P\right)& \left(\mathrm{Equation}11\right)\end{array}$

[0134] Equation 11 can then be used to show that for any constant A.sub.P, the P.sub.P/A.sub.P ratio always increases with increasing AR when considering AR must always be equal to or greater than one.

[0135] A second means of increasing the P.sub.P/A.sub.P ratio is by reducing the A.sub.P for a projection member cross-section. As show in Tables 1, 2, and 3 the P.sub.P/A.sub.P ratio increases as A.sub.P is reduced.

[0136] The function of the A.sub.P/P.sub.P is also defined by the geometric shape of the projection members, such as circular vs rectangular vs elliptical or convoluted. Tables 1, 2, and 3 show a comparison of structural parameters for insets with projection members having circular, elliptical, and rectangular projection member profiles respectively. In general, ellipses are found to maximize P.sub.P/A.sub.P at any given aspect ratio for non-convoluted shapes, but at increasingly small projection member cross-sections (<0.5 cm.sup.2) the P.sub.P/A.sub.P ratio becomes increasingly large regardless of the actual projection member cross-section profile.

TABLE-US-00001 TABLE 1 Calculated structural properties for an insert having projection members with a circular cross-section Circular Profile P.sub.P A.sub.P Diameter Perimeter Area P.sub.P/A.sub.P cm cm cm.sup.2 cm.sup.1 0.0035 0.011 0.00001 1143 0.035 0.11 0.001 114 0.113 0.35 0.01 35 0.357 1.12 0.1 11 1.131 3.55 1.00 4 0.2 0.63 0.031 20 0.25 0.79 0.049 16 0.3 0.94 0.071 13 0.35 1.10 0.096 11 0.4 1.26 0.126 10 0.5 1.57 0.196 8.0 0.6 1.88 0.28 6.7 0.7 2.20 0.38 5.7 0.8 2.51 0.50 5.0 0.9 2.83 0.64 4.4 1.0 3.14 0.79 4.0 1.25 3.93 1.23 3.2 1.5 4.71 1.77 2.7 2 6.28 3.14 2.0 2.5 7.85 4.91 1.6 5 15.71 19.63 0.8 6 18.85 28.27 0.7 10 31.42 78.54 0.4 14 43.98 153.94 0.29

TABLE-US-00002 TABLE 2 Calculated structural properties for an insert having projection members with an elliptical cross-section. Elliptical Profile L W AR Perimeter Area P.sub.P/A.sub.P Length Width Aspect cm cm.sup.2 cm.sup.1 Cm cm Ratio Perimeter Area P.sub.P/A.sub.P 0.0072 0.0018 4.000 0.016 0.000010 1619.7 0.0224 0.0056 4.000 0.051 0.00010 520.6 0.072 0.018 4.000 0.165 0.0010 162.0 0.224 0.056 4.000 0.513 0.010 52.1 0.716 0.179 4.000 1.640 0.10 16.3 2.24 0.56 4.000 5.129 1.0 5.2 0.5 0.125 4.000 1.145 0.049 23.3 0.5 0.25 2.000 1.242 0.098 12.6 0.375 0.125 3.000 0.878 0.037 23.9 1 0.25 4.000 2.290 0.196 11.7 2 0.5 4.000 4.580 0.785 5.8 2 0.5 4.000 4.580 0.785 5.8 2.5 0.25 10.000 5.581 0.491 11.4 2.5 0.125 20.000 5.561 0.245 22.7 0.25 0.25 1.000 0.785 0.049 16.0

TABLE-US-00003 TABLE 3 Calculated structural properties for an insert having projection members with a rectangular cross-section. Rectangular Profile L W AR Perimeter Area P.sub.P/A.sub.P Length Width Aspect cm cm.sup.2 cm.sup.1 cm cm Ratio Perimeter Area P.sub.P/A.sub.P 0.02 0.01 2.000 0.06 0.00020 300.0 0.064 0.02 4.000 0.16 0.0010 156.3 0.08 0.02 4.000 0.20 0.002 125.0 0.12 0.03 4.000 0.30 0.004 83.3 0.16 0.04 4.000 0.40 0.006 62.5 0.4 0.10 4.000 1.00 0.040 25.0 0.44 0.11 4.000 1.107 0.049 22.6 0.75 0.15 5.000 1.80 0.113 16.0 0.8 0.20 4.000 2.00 0.160 12.5 1.6 0.40 4.000 4.00 0.640 6.3 2.4 0.60 4.000 6.00 1.440 4.2 3.2 0.80 4.000 8.00 2.560 3.1 4 1.00 4.000 10.00 4.00 2.5 8 2.00 4.000 20.00 16.00 1.3 0.22 0.22 1.000 0.888 0.049 18.0

[0137] Table 4 is a comparison of various sized hydraulic chambers with a circular cross-section normal to flow and the R.sub.HC based on the addition of a multitude of non-intersecting projection members. In this comparison the Aspect Ratio of the rectangular projection member cross-section was set to 5, and shows the N (number of projection members) required to obtain R.sub.HC<0.5 and a % D of 25%. For both circular and rectangular projection member cross-sections, this generally requires a projection member cross-section of <1 cm.sup.2, sometimes <0.5 cm.sup.2, and oftentimes <0.25 cm.sup.2. It is noted that, in an embodiment in which non-intersecting supports that may lay outside this design are extreme aspect ratio (AR10) projection members within large hydraulic areas of 500 cm.sup.2 or more. Such projection members may yield R.sub.HC of interest with % D<25%, but even in these cases the maximum width of the projection member cross-section would be <0.5 cm, and oftentimes0.25 cm.

TABLE-US-00004 TABLE 4 Calculated properties of a chromatographic device having a circular profile and including an insert having projection members with a rectangular cross-section. Cross-Section Normal to Flow Projection member Cross-Section:Rectangle Circular Profile Aspect Ratio: 5 D A P A.sub.P P.sub.P N R.sub.HC cm cm.sup.2 cm cm.sup.2 cm # cm % D 4.4 15.2 13.8 0.0500 1.20 25 0.3183 8% 4.4 15.2 13.8 0.0500 1.20 50 0.1720 16% 8.0 50 25.1 0.1000 1.70 100 0.2054 20% 8.0 50 25.1 0.0500 1.20 225 0.1313 23% 11.3 100 35.4 0.0500 1.20 300 0.2149 15% 11.3 100 35.4 0.1000 1.70 200 0.2134 20% 17.8 250 56.0 0.0500 1.20 775 0.2142 16% 17.8 250 56.0 0.0500 1.20 975 0.1641 20% 25.2 500 79.3 0.0500 1.20 1150 0.3032 12% 25.2 500 79.3 0.0500 1.20 1800 0.1831 18% 35.7 1000 112.1 0.1500 2.08 1000 0.3880 15% 35.7 1000 112.1 0.1000 1.70 2000 0.2282 20% 79.8 5000 250.7 0.0500 1.20 11500 0.3149 12% 79.8 5000 250.7 0.1000 1.70 10000 0.2323 20% 79.8 5000 250.7 0.2500 2.68 5000 0.2774 25%

[0138] Table 5 shows a comparison of cylindrical hydraulic chambers with uncorrected versus corrected hydraulic radii to demonstrate potential achievable effects of the disclosure in which [0139] R.sub.H=A/P [0140] A=Wetted Area [0141] P=Wetted Perimeter

TABLE-US-00005 TABLE 5 Comparison of R.sub.H (no insert) and R.sub.HC (with insert) for a cylindrical chromatographic device. Cylindrical Device Parameters No Insert With Insert D A P R.sub.H RH.sub.C cm cm.sup.2 cm cm cm 0.500 0.20 1.57 0.125 1.00 0.79 3.14 0.250 2.00 3.14 6.28 0.500 5.00 19.63 15.71 1.25 0.148 7.00 38.48 21.99 1.75 30.0 706.86 94.25 7.50 40.0 1256.64 125.66 10.0 45.0 1590.43 141.37 11.3 0.168 50.0 1963.50 157.08 12.5 60.0 2827.43 188.50 15.0 80.0 5026.55 251.33 20.0 100 7853.98 314.16 25.0 0.170 200 31415.93 628.32 50.0

[0142] Table 6 shows various parameters of chromatographic devices which contain different inserts and chromatographic media, according to exemplary embodiments of the present disclosure. The compressibility ratio (CF) is the initial volume of the medium divided by the final filled volume of the medium comprising the packed bed. In this case, used the volume before and after each particle was packed in the column and passed through the liquid multiple times. Typically, compression factor is measured by introducing the particles into a chromatographic device, measuring the volume of unpacked particles, then packing using a packing fluid flowrate of 100 to 150 cm/hr and measuring the volume of packed particles.

[0143] Permeability is defined as the ratio of linear velocity to the pressure drop per unit height of packed bed. Typically, permeability measured in a range where the relationship between linear velocity and pressure drop is proportional. Under such conditions, permeability is to a first approximation constant, but an average value over the range of measurement is typically reported. [0144] A=Cross-sectional area of device [cm.sup.2] [0145] P=wetted perimeter normal to flow [cm] [0146] R.sub.H=Hydraulic Radius [cm] [0147] A.sub.C=corrected cross-sectional area normal to flow [cm.sup.2] [0148] P.sub.C=corrected wetted perimeter normal to flow [cm] [0149] R.sub.HC=corrected Hydraulic Radius [cm] [0150] L=maximum length of projection member cross-section [cm] [0151] W=maximum width of a projection member cross-section [cm] [0152] Aspect Ratio=ratio of L to W [0153] % D=percent displacement of initial hydraulic chamber volume by insert [%] [0154] CF=Compression Factor

TABLE-US-00006 TABLE 6 Parameters of Chromatographic Devices Projection Perme- Bead Member ability Bead diameter Density Length Width Aspect A P R.sub.H Ac Pc R.sub.HC (cm.sup.2/ Material (m) (cm.sup.2) (cm) (cm) Ratio (cm.sup.2) (cm) (cm) (cm.sup.2) (cm) (cm) % D CF bar-hr) Example 1 Synthetic 55 0.6 10.0 2.50 4.0 78.54 31.42 2.5 72.27 126.79 0.57 7.98 1.20 4800 (FIG. 5A-5B) resin Example 2 Synthetic 55 78.54 31.42 2.5 65.47 523.79 0.13 16.64 1.11 7500 (FIG. 3C) resin Example 3 Synthetic 55 4.0 5.0 1.25 4.0 15.21 13.82 1.1 12.23 78.37 0.156 19.60 1.12 7050 (FIG. 7A-7C) resin Example 4 Synthetic 55 2.4 5.0 1.25 4.0 15.21 13.82 1.1 13.17 57.00 0.23 13.40 1.08 7400 (FIG. 7A-7C) resin Example 5 Agarose. 85 4.0 5.0 1.25 4.0 15.21 13.82 1.1 12.23 78.37 0.16 19.60 1.13 3460 (FIG. 7A-7C)