The disclosed embodiments are in the field of ultrafiltration, and more particularly in the field of selective filtration of charged/uncharged molecules potentially in biomedical and related applications.
Ultrafiltration is a membrane based filtration process of industrial and biological significance used to separate, purify and concentrate macromolecular solutions. In human physiology, the kidney performs ultrafiltration of blood through biological membranes located in nephrons, the functional units of the kidney. A related important application of ultrafiltration (using synthetic membranes) is to replace diseased kidney function using Renal Replacement Therapy (RRT) in patients suffering from Acute Renal Failure and End-stage-Renal Disease. Synthetic membranes are used to perform ultrafiltration in the food, water purification and pharmaceutical industries to name a few applications.
The replacement of renal function in persons with renal failure by dialysis is dependent on the ability to filter out waste products while preserving metabolically costly proteins, peptides and cells. Thus, there exists a need to maximize the retention of a large macromolecular solute of interest in the feed (supply) solution, and more specifically to improve the selectivity of current ultrafiltration systems. Examples of macromolecules of interest in this discussion are synthetic and natural proteins, carbohydrates, nucleic acids etc. with molecular dimensions of the order of and larger than 1 nm. Specifically, the retention of serum albumin in blood during ultrafiltration together with the clearance of middle molecules like β2-microglobulin is not satisfactorily addressed in conventional therapies.
Diffusive transport of a molecule from one point in the fluid to another is proportional to the difference of concentrations of the molecule between the two points and is approximately inversely proportional to the molecular size, up to sizes excluded by the membrane. Thus, smaller molecules are extracted from, for example, blood more quickly than larger ones.
Conventional renal function replacement therapies often include membranes that have poor selectivity toward biologically important molecules or are too large for the possibility of patient implantation. The definition of membranes includes filtration devices utilizing well-defined pores as well as those utilizing a matrix of fibers. The former category includes membranes for industrial and therapeutic ultrafiltration and high flux dialysis; the latter category includes gels for gel permeation chromatography, the glomerular basement membrane and other extracellular matrices.
This and other unmet needs of the prior art are met by devices and methods as described in more detail below.
A Renal Assist Device (RAD) employing ultrafiltration of blood (hemofiltration) can have a major impact on the cost of medical treatment of kidney failure. Dialysis is extremely expensive, time consuming, and stressful for the patient. The proposed method is superior to the prior art in hemofiltration because it significantly improves the solute retention capacity of the RAD through a nonintrusive and an inexpensive modification to the solution on the filtrate side of the membrane, rather than through costly re-design and repeated fabrication of the membrane, as required by competing nanofabrication technologies involving pore size reduction and/or surface charge modification. Disclosed method(s) may also significantly improve the capacity of ultrafiltration membranes to filter out solutes not only in implantable and extracorporeal renal replacement therapy applications, but also in food processing, pharmaceutical and waste-water-treatment applications.
The kidneys are paired organs, each similar in size to a clenched fist, that lie behind the abdominal cavity at the level of the bottom of the ribcage. In addition to their obvious role in waste excretion, the kidneys regulate multiple physiological processes essential to the health of the organism. In humans, the list of functions that kidneys accomplish include excretion of nitrogenous wastes and certain organic compounds, homeostasis of volume, osmolality, acid-base, divalent cations, phosphorus, and potassium; regulation of blood pressure and erythropoeisis, synthesis of Vitamin D, and, more controversially, antigen presentation, immunoregulation, and maintenance of redox balance. The kidney's filters (“glomeruli”) are remarkable structures, in that the blood contains 40 gm/L of albumin, a globular protein important for health, and the filtered fluid in Bowman's space has mere micrograms of albumin per liter. Yet, the kidney's filters are able to pass other proteins and peptides, such as hemoglobin, myoglobin, and β2-microglobulin that are only slightly smaller than albumin (12 kD-45 kD, compared to albumin's 66 kD).
The numerical calculations to be described in detail below predict that the solute-pore (albumin-pore) electrostatic repulsion results in a sieving coefficient (percent transported through the membrane) of 0.1% for a solute having a charge number characteristic of serum albumin at the physiological pH and ionic strength. It is found that higher surface charge density, smaller pore width and more complete surface coverage by charged surface-modification agent(s) leads to lower sieving coefficients. The selectivity of the membrane toward the charged solute also leads to concentration polarization.
Modification of pore wall surface charge is one strategy for improving the selectivity of a membrane toward solutes. The selectivity of a membrane to any particular solute is inversely proportional to the sieving coefficient to be defined below.
In general terms, the driving force for ultrafiltration is a pressure differential across the relevant membrane. This leads to a transfer, from the solution in the feed side (side F) toward the permeate side (side P), of solvent molecules and, of a fraction of the solute molecules on side F determined by a number of factors such as (a) the size, shape, charge of the pores/fibers, (b) the size, shape, charge, number density of the solute molecules, and (c) the filtration velocity.
A working equation that governs ultrafiltration applications with imposed electric field Ex is:
where S is the sieving coefficient, φ0 is the partition coefficient, Kc is the hindered convection coefficient and Pe is the dimensionless Peclet number. The parameter s embodies the effect of electric field, being defined by
where F is the Faraday's constant, R is the universal gas constant, T is the temperature, Ex is the imposed electric field, z and D are the charge number and molecular diffusivity of the solute at the temperature of experiment, Kc and Kd are hindered convection and diffusion coefficients of the solute in the pore and ū is the average velocity of the solvent within a slit-shaped pore of height 2 h due to the effect of applied pressure as well as voltages.
A small sieving coefficient is essential for the success of many ultrafiltration applications. For example, a sieving coefficient of 0.01% or lower for serum albumin is desirable for ultrafiltration-based renal replacement therapy. An example of embodiments of an ultrafiltration membrane employed as a bioartificial organ is presented in U.S. Pat. No. 7,048,856 to Fissell.
As mentioned above, the ultrafiltration performance of a membrane with respect to retention/passage of solute is usually characterized by the sieving coefficient S, defined as the ratio of the permeate side (the post filtration side) concentration CP of the solute (say in units of moles per liter) to the feed side (pre-filtration) concentration CF of the solute.
Here, feed and permeate refer to the solution to be filtered by the membrane (feed) and that already filtered through the membrane (permeate) on its downstream side.
One embodiment of the disclosed invention involves the use of additives in the permeate solution to affect the sieving coefficient, as defined above. The principles upon which the exemplary embodiments are quantitatively based are the fundamental concepts of equilibrium partitioning and hindered transport. The term equilibrium partitioning refers to the fact that the equilibrium concentration (in moles per liter of the solution) of a solute in a porous or fibrous media constituting the membrane is different from the equilibrium concentration in a bulk solution. For membrane transport, one can define two partition coefficients (a) the feed side partition coefficient φ0, and (b) the permeate partition coefficient φL.
Formally, if a coordinate x is used to characterize distance across the pore of length L and if x=0 denotes the point immediately inside the membrane adjacent to the side F solution of concentration CF and x=L denotes a point immediately inside the membrane adjacent to side P having concentration CP, then, the partition coefficients are defined by
Conventionally φ0 is equal to φL.
The use of additives to affect the sieving of solutes, in the disclosed exemplary embodiments, utilizes the fact that the values of the partition coefficients, as defined above, may be tuned based on the concentration of dissolved solutes in the permeate side, thereby decreasing the sieving coefficient via the optimized addition of selected additives. The effect of additives on the sieving coefficient can be demonstrated as follows. If the partitioning coefficient φ0 is different from φL, then, the sieving coefficient, S is given by:
where Kc is the hindered convection coefficient, Kd is the hindered diffusion coefficient and
is the Peclet number which is a function of the porosity ò, filtration velocity v, diffusion coefficient D of the solute and L, the length (thickness) of the membrane.
In particular, in the small Pe limit, that is, as Pe approaches zero, which corresponds to purely diffusive equilibration between the permeate and feed solutions through the pore,
A physical interpretation of the last equation is that any attractive/repulsive interaction in any part of the feed-pore-permeate system biases the Brownian motion of the solute molecules to redistribute more/fewer molecules in the zone of attraction/repulsion.
With respect to the effect of additives in the disclosed exemplary embodiments, it is important to note that (a) if φL increases, then the sieving coefficient decreases, as revealed by the last two equations for S, and (b) the concentration of additives can be used to affect a change in φL. In particular, consider a permeate solution containing at least two dissolved ingredients: solute A and an additive B. The partition coefficient φL of solute A increases with increasing concentration of additive B, under certain conditions disclosed below.
Disclosed embodiments may involve the addition of varying amounts of, for example, large soluble charged/uncharged additive molecules B in the filtrate solution at the start/during the ultrafiltration that leads to an alteration in the value of φL for solute A. An increase in φL due to the addition of the additive B will result in a lower sieving coefficient S for solute A or improved selectivity. This in combination with other variables such as induced electric fields and/or surface coatings serve to greatly increase the selectivity (represented by sieving coefficient) of ultrafiltration membranes. For example, if the solute of interest is a large negatively charged species, a large negatively charged additive may be an appropriate choice for addition to the permeate solution. Its presence will likely increase the repulsive effects on the solute and thus reduce the sieving coefficient and prevent migration of the solute into the permeate.
A better understanding of the exemplary embodiments will be had when reference is made to the accompanying drawings, wherein identical parts are identified with identical reference numerals, and wherein:
In contrast to
When a suitable additive is employed in the system the concentration differential may be decidedly altered.
Specific embodiments of the additive molecule include synthetically manufactured polysaccharides and proteins, biologically extracted polysaccharides and proteins. The solute A may comprise manufactured or biologically extracted proteins or other biologically active molecules. The solvents employed in the permeate side may include water, and organic solvents. The membrane may comprise either synthetic or biological membranes, but preferably should be highly impermeable to the additive of choice. Some particular characteristics of the additive may include: high solubility in the solvent of choice; a diameter that is sufficiently large relative to the average pore diameter to hinder passage, or, if a fibrous membrane is used, then larger than the average spacing between fibers; if the solute of interest possesses a molecular charge, the additive should preferably have a charge of the same sign as the solute.
An example of a suitable additive for use in improving membrane selectivity toward albumin is a dextran such as Dextran 500 (may be obtained from GE Life Sciences) or its sulfate salt. By means of example, Dextran 500 has a molecular weight close to 500,000 Da, and is readily soluble in water. The flexible polymeric structure of dextran leads to a large excluded volume; the solubility of dextran allows the use of higher concentrations to enhance repulsive interactions. Using Dextran 500 as an example of an embodiment of an additive for use in increasing the selectivity of a membrane toward a large negatively charged macromolecule of choice, Dextran has several important characteristics. The size of Dextran 500 molecules (˜30 nm) will help to maintain a low probability of the additive entering an ultrafiltration membrane with sufficiently small pore sizes and fiber spacings (e.g. <10 nm) from the permeate solution, despite the flexibility of dextran. The optional use of dextran sulfate as additive B serves to electrostatically intensify the intermolecular repulsive interactions, when the solute is negatively charged (such as the protein serum albumin at physiological pH). The intermolecular repulsions between dextran (sulfate) and solute molecules in the permeate solution will lead to a higher φL (e.g. Cp decreases) for the solute and consequently according to the equations above, an even lower sieving coefficient.
The partition coefficients of many macromolecular solutes are increasing functions of its own concentration and the concentration of other macromolecules present in the solution. The explanation for the above-discussed increase of partition coefficients is that, as the solution concentration(s) of similar/dissimilar macromolecule(s) increases, intermolecular repulsive interactions lead to a more significant reduction in the probability of a given solute molecule being located in the solution space more significantly than the probability for the same solute molecule being located in the pore/fiber-gap space. Herein, “repulsive intermolecular interaction” should be understood to include excluded volume effects.
Example calculations. The numerical simulation software COMSOL Multiphysics is used for the following calculation showing, how in one embodiment, appropriate patterning of surface charge on the pore walls can be used to enhance the selectivity to charged solutes. The geometry of the feed and permeate channels, the flow of the feed solution, and the nanopore membrane is shown in
The results of the calculations are as follows. The feed side solution will be forced into the nanopores due to the pressure drop across the membrane. A −46 mV Pattern A patch is used. The streamline pattern for the flow of the feed solution is shown in
The concentration polarization effect is evident in
In
The sieving coefficient calculated for 8 nm and 7 nm wide nanopores are listed in
In an embodiment, a first solute molecule is chosen and present in the feed solution, a suitably chosen second additive molecule is used in the permeate solution (side P); and the membrane is impermeable to the second additive molecule. In this case, the intermolecular interactions between the additive molecules and the solute molecules will take place only in the bulk solution on side P (permeate solution). In comparison to an ultrafiltration system where no such additive is added to the permeate solution, intermolecular repulsive interactions between the solute and additive will render the solute molecules less likely to locate in the bulk permeate solution, and, therefore, more likely to locate themselves inside the pore, increasing the permeate side partition coefficient φL for the solute. Moreover, the intermolecular repulsion can be made stronger by using a higher concentration of the dissolved additive.
Exemplary embodiments of the additive molecule B in the disclosed invention include but are not limited to synthetically manufactured or biologically extracted polysaccharides and proteins. Specific embodiments of the test molecule include but are not limited to synthetically manufactured or biologically extracted proteins and biological molecules. Exemplary embodiments of the solvent include but are not limited to water and organic solvents. Specific embodiments of the membrane include but are not limited to synthetic membranes and/or biological membranes either in vitro or in vivo. Specific applications for the operation of the membrane-based filter include, but are not limited to ultrafiltration, dialysis, and diafiltration.
In an embodiment, an ultrafiltration membrane (optionally comprising pores) separates two solutions, one the feed solution contains a solute of interest, the other, the permeate contains a separate solution. A suitable additive B is selected and employed at a suitable concentration, but is present only in the permeate side of the membrane. In this scenario, the intermolecular interactions between the additive and the solute of interest will take place only in the solution on the permeate side of the membrane. The result being that, in contrast to a system that employs no additive, repulsive intermolecular interactions between the solute and the additive will cause the solute molecules to locate more likely in the pore than in the permeate solution. In terms of the above referenced equations, the net effect is that φL is increased, thus decreasing the sieving coefficient. Optionally, the intermolecular repulsion may be increased by employing a higher concentration of the additive.
In an embodiment, the membrane employs in silica-based synthetic nanomembranes at physiological pH, this leads to an improvement in permeability (due to the phenomenon of electroosmosis) as well as selectivity, unlike conventional RAD technologies which involve trade-offs between permeability and selectivity. Further, no expensive surface modification step is required for the electrically enhanced RAD as compared to conventional methods and technologies that depend on repulsion between like charged walls and solutes to improve selectivity of the membrane. The membrane may be enhanced by the use of electrical fields and/or the introduction of selected additive molecules to the permeate solution prior to or during the filtration process.
In an embodiment of a device employing an additive, a first solute molecule is chosen and present in the feed solution, a suitably chosen second additive molecule is used in the permeate solution (side P); and the membrane is impermeable to the second additive molecule. In this case, the intermolecular interactions between the additive molecules and the solute molecules will take place only in the bulk solution on side P (permeate solution). In comparison to an ultrafiltration system where no such additive is added to the permeate solution, intermolecular repulsive interactions between the solute and additive will render the solute molecules less likely to locate in the bulk permeate solution, and, therefore, more likely to locate themselves inside the pore, increasing the permeate side partition coefficient φL for the solute. Moreover, the intermolecular repulsion can be made stronger by using a higher concentration of the dissolved additive.
Specific embodiments of the additive molecule B in the disclosed invention include but are not limited to synthetically manufactured or biologically extracted polysaccharides and proteins. Specific embodiments of the test molecule include but are not limited to synthetically manufactured or biologically extracted proteins and biological molecules. Specific embodiments of the solvent include but are not limited to water and organic solvents. Specific embodiments of the membrane include but are not limited to synthetic membranes and/or biological membranes either in vitro or in vivo. Specific applications for the operation of the membrane-based filter include, but are not limited to ultrafiltration, dialysis, and diafiltration.
In an embodiment, an ultrafiltration membrane (optionally comprising pores) separates two solutions, one the feed solution contains a solute of interest, the other, the permeate contains a separate solution. A suitable additive B is selected and employed at a suitable concentration, but is present only in the permeate side of the membrane. In this scenario, the intermolecular interactions between the additive and the solute of interest will take place only in the solution on the permeate side of the membrane. The result being that, in contrast to a system that employs no additive, repulsive intermolecular interactions between the solute and the additive will cause the solute molecules to locate more likely in the pore than in the permeate solution. In terms of the above referenced equations, the net effect is that φL is increased, thus decreasing the sieving coefficient. Optionally, the intermolecular repulsion may be increased by employing a higher concentration of the additive.
In an embodiment, the membrane employs in silica-based synthetic nanomembranes at physiological pH, which leads to an improvement in permeability (due to the phenomenon of electroosmosis) as well as selectivity, unlike conventional renal replacement therapies which involve trade-offs between permeability and selectivity. Further, no expensive surface modification step is required for the electrically enhanced RAD as compared to conventional methods and technologies that depend on repulsion between like charged walls and solutes to improve selectivity of the membrane. The membrane may be enhanced by the use of electrical fields and/or the introduction of selected additive molecules to the permeate solution prior to or during the filtration process. A diagram of an embodiment of an implanted form of a RAD is shown in
Exemplary implantable embodiments comprise a main filter chamber 200 with a filter membrane, a feed line 210 for allowing a feed supply of fluid to enter the filter chamber on the feed side of the membrane, a permeate exit line 213 for reintroducing fluid into the body, and a waste exit line 214 for allowing filtered species to travel to, for example the bladder for elimination. The membrane may incorporate an electric field to increase selectivity as discussed above. Additionally, the permeate solution may contain a selected additive 20 chosen to improve the sieving coefficient of the membrane toward a solute 10 of choice. In an embodiment, the solute of choice is a large charged macromolecule such as albumin, and the additive is a dextran such as Dextran 500.
Having shown and described an embodiment of the invention, those skilled in the art will realize that many variations and modifications may be made to affect the described invention and still be within the scope of the claimed invention. Additionally, many of the elements indicated above may be altered or replaced by different elements which will provide the same result and fall within the spirit of the claimed invention.
This patent application is a continuation of and claims the benefit of priority from PCT/US2010/022687, filed 1 Feb. 2010, which is in turn entitled to the benefit of priority from U.S. Provisional Patent Application No. 61/148,833, filed 30 Jan. 2009. Each of the applications is hereby incorporated by reference in its entirety.
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5545131 | Davankov | Aug 1996 | A |
6623441 | Kihara et al. | Sep 2003 | B1 |
7048856 | Fissell et al. | May 2006 | B2 |
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Number | Date | Country | |
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20120310136 A1 | Dec 2012 | US |
Number | Date | Country | |
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61148833 | Jan 2009 | US |
Number | Date | Country | |
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Parent | PCT/US2010/022687 | Feb 2010 | US |
Child | 13195774 | US |