System and method for dialyzer evaluation
10625011 ยท 2020-04-21
Assignee
Inventors
- Louis LeeGrande Barrett (West Point, UT, US)
- Chih-Hu HO (Farmington, UT, US)
- Eric Stroup (Midway, UT, US)
Cpc classification
B01D65/10
PERFORMING OPERATIONS; TRANSPORTING
B01D65/109
PERFORMING OPERATIONS; TRANSPORTING
International classification
Abstract
Embodiments of the disclosure provide a method for evaluating dialyzers used in different medical applications (e.g., hemodialysis). Red blood cell volume lost in a dialyzer is monitored by obtaining blood flowrate measurements and hematocrit measurements at input ports and output ports of the dialyzer. The flowrate and hematocrit measurements are used to determine an accumulation of red cell blood volume in the dialyzer. The measurements may be obtained in a lab environment with an in-vitro blood source or may be obtained in a clinical setting with an in-vivo blood source from a patient.
Claims
1. A method for evaluating a dialyzer using a dialyzer test system connected to the dialyzer, the method comprising: circulating, using a pump of the dialyzer test system, blood from a blood source through the dialyzer; and determining, using the dialyzer test system, a red blood cell volume loss corresponding to the dialyzer, wherein determining the red blood cell volume loss corresponding to the dialyzer includes: (a) determining a blood flowrate corresponding to an input side of the dialyzer via a calibrated pumping rate of the pump or an input flowmeter of the dialyzer test system; (b) determining a hematocrit value corresponding to the input side of the dialyzer via a first sensor assembly of the dialyzer test system attached to a first blood chamber of the dialyzer test system, wherein the first sensor assembly and the first blood chamber are disposed on the input side of the dialyzer; (c) determining a blood flowrate corresponding to an output side of the dialyzer via an ultrafiltration rate and the blood flowrate corresponding to the input side of the dialyzer; (d) determining a hematocrit value corresponding to the output side of the dialyzer via a second sensor assembly of the dialyzer test system attached to a second blood chamber of the dialyzer test system, wherein the second sensor assembly and the second blood chamber are disposed on the output side of the dialyzer; (e) determining, using a controller of the dialyzer system, a difference in red blood cell volume between the input side of the dialyzer and the output side of the dialyzer according to the hematocrit value corresponding to the output side of the dialyzer, the hematocrit value corresponding to the input side of the dialyzer, the blood flowrate corresponding to the input side of the dialyzer, and the blood flowrate corresponding to the output side of the dialyzer; repeatedly performing steps (a) to (e) multiple times to obtain multiple differences in red blood cell volume; and accumulating the multiple differences in red blood cell volume to obtain the blood cell volume loss corresponding to the dialyzer, wherein accumulating the multiple differences in red blood cell volume comprises: determining, through mathematical regression, a function relating difference in red blood cell volume between the input port and the output port and time; and integrating the function over a time interval of interest.
2. The method according to claim 1, further comprising: determining, using the dialyzer test system, a red blood cell volume loss corresponding to a second dialyzer; determining, using the controller of the dialyzer test system, that the red blood cell volume loss corresponding to the dialyzer is greater than the red blood cell volume loss corresponding to the second dialyzer; and determining that the second dialyzer is of higher quality than the dialyzer.
3. A method for evaluating a dialyzer using a dialyzer test system connected to the dialyzer, the method comprising: circulating, using a pump of the dialyzer test system, blood from a blood source through the dialyzer; and determining, using the dialyzer test system, a red blood cell volume loss corresponding to the dialyzer, wherein determining the red blood cell volume loss corresponding to the dialyzer includes: (a) determining a blood flowrate corresponding to an input side of the dialyzer via a calibrated pumping rate of the pump or an input flowmeter of the dialyzer test system; (b) determining a hematocrit value corresponding to the input side of the dialyzer based on blood drawn from a first port of the dialyzer test system, wherein the first port is on the input side of the dialyzer; (c) determining a blood flowrate corresponding to an output side of the dialyzer via an ultrafiltration rate and the blood flowrate corresponding to the input side of the dialyzer; (d) determining a hematocrit value corresponding to the output side of the dialyzer based on blood drawn from a second port of the dialyzer test system, wherein the second port is on the output side of the dialyzer; (e) determining, using a controller of the dialyzer system, a difference in red blood cell volume between the input side of the dialyzer and the output side of the dialyzer according to the hematocrit value corresponding to the output side of the dialyzer, the hematocrit value corresponding to the input side of the dialyzer, the blood flowrate corresponding to the input side of the dialyzer, and the blood flowrate corresponding to the output side of the dialyzer; repeatedly performing steps (a) to (e) multiple times to obtain multiple differences in red blood cell volume; and accumulating the multiple differences in red blood cell volume to obtain the red blood cell volume loss corresponding to the dialyzer, wherein accumulating the multiple differences in red blood cell volume comprises: determining, through mathematical regression, a function relating difference in red blood cell volume between the input port and the output port and time; and integrating the function over a time interval of interest.
4. The method according to claim 3, further comprising: determining, using the dialyzer test system, a red blood cell volume loss corresponding to a second dialyzer; determining, using the controller of the dialyzer test system, that the red blood cell volume loss corresponding to the dialyzer is greater than the red blood cell volume loss corresponding to the second dialyzer; and determining that the second dialyzer is of higher quality than the dialyzer.
5. A method for evaluating a dialyzer using a dialyzer test system connected to the dialyzer, the method comprising: circulating, using a pump of the dialyzer test system, blood from a blood source through the dialyzer; determining, using the dialyzer test system, a red blood cell volume loss corresponding to the dialyzer, wherein determining the red blood cell volume loss corresponding to the dialyzer includes: (a) determining a blood flowrate corresponding to an input side of the dialyzer via a calibrated pumping rate of the pump or an input flowmeter of the dialyzer test system; (b) determining a hematocrit value corresponding to the input side of the dialyzer via a first sensor assembly of the dialyzer test system attached to a first blood chamber of the dialyzer test system, wherein the first sensor assembly and the first blood chamber are disposed on the input side of the dialyzer; (c) determining a blood flowrate corresponding to an output side of the dialyzer via an ultrafiltration rate and the blood flowrate corresponding to the input side of the dialyzer; and (d) determining a hematocrit value corresponding to the output side of the dialyzer via a second sensor assembly of the dialyzer test system attached to a second blood chamber of the dialyzer test system, wherein the second sensor assembly and the second blood chamber are disposed on the output side of the dialyzer; determining, using the dialyzer test system, a red blood cell volume loss corresponding to a second dialyzer; determining, using a controller of the dialyzer test system, that the red blood cell volume loss corresponding to the dialyzer is greater than the red blood cell volume loss corresponding to the second dialyzer; and determining that the second dialyzer is of higher quality than the dialyzer.
6. The method according to claim 5, wherein determining the red blood cell volume loss corresponding to the dialyzer further comprises: (e) determining, using the controller of the dialyzer system, a difference in red blood cell volume between the input side of the dialyzer and the output side of the dialyzer according to the hematocrit value corresponding to the output side of the dialyzer, the hematocrit value corresponding to the input side of the dialyzer, the blood flowrate corresponding to the input side of the dialyzer, and the blood flowrate corresponding to the output side of the dialyzer.
7. The method according to claim 6, wherein determining the red blood cell volume loss corresponding to the dialyzer further comprises: repeatedly performing steps (a) to (e) multiple times to obtain multiple differences in red blood cell volume; and accumulating the multiple differences in red blood cell volume to obtain the red blood cell volume loss corresponding to the dialyzer.
8. The method according to claim 7, wherein accumulating the multiple differences in red blood cell volume comprises: multiplying each difference in red blood cell volume in the multiple differences in red blood cell volume by a respective time slice to obtain respective red blood cell volume losses corresponding to multiple respective time slices; and summing the respective red blood cell volume losses corresponding to the multiple respective time slices to obtain the red blood cell volume loss corresponding to the dialyzer.
9. The method according to claim 7, wherein accumulating the multiple differences in red blood cell volume comprises: determining, through mathematical regression, a function relating difference in red blood cell volume between the input port and the output port and time; and integrating the function over a time interval of interest.
10. A method for evaluating a dialyzer using a dialyzer test system connected to the dialyzer, the method comprising: circulating, using a pump of the dialyzer test system, blood from a blood source through the dialyzer; determining, using the dialyzer test system, a red blood cell volume loss corresponding to the dialyzer, wherein determining the red blood cell volume loss corresponding to the dialyzer includes: (a) determining a blood flowrate corresponding to an input side of the dialyzer via a calibrated pumping rate of the pump or an input flowmeter of the dialyzer test system; (b) determining a hematocrit value corresponding to the input side of the dialyzer based on blood drawn from a first port of the dialyzer test system, wherein the first port is on the input side of the dialyzer; (c) determining a blood flowrate corresponding to an output side of the dialyzer via an ultrafiltration rate and the blood flowrate corresponding to the input side of the dialyzer; and (d) determining a hematocrit value corresponding to the output side of the dialyzer based on blood drawn from a second port of the dialyzer test system, wherein the second port is on the output side of the dialyzer; determining, using the dialyzer test system, a red blood cell volume loss corresponding to a second dialyzer; determining, using a controller of the dialyzer test system, that the red blood cell volume loss corresponding to the dialyzer is greater than the red blood cell volume loss corresponding to the second dialyzer; and determining that the second dialyzer is of higher quality than the dialyzer.
11. The method according to claim 10, wherein determining the red blood cell volume loss corresponding to the dialyzer further comprises: (e) determining, using the controller of the dialyzer system, a difference in red blood cell volume between the input side of the dialyzer and the output side of the dialyzer according to the hematocrit value corresponding to the output side of the dialyzer, the hematocrit value corresponding to the input side of the dialyzer, the blood flowrate corresponding to the input side of the dialyzer, and the blood flowrate corresponding to the output side of the dialyzer.
12. The method according to claim 11, wherein determining the red blood cell volume loss corresponding to the dialyzer further comprises: repeatedly performing steps (a) to (e) multiple times to obtain multiple differences in red blood cell volume; and accumulating the multiple differences in red blood cell volume to obtain the red blood cell volume loss corresponding to the dialyzer.
13. The method according to claim 12, wherein accumulating the multiple differences in red blood cell volume comprises: multiplying each difference in red blood cell volume in the multiple differences in red blood cell volume by a respective time slice to obtain respective red blood cell volume losses corresponding to multiple respective time slices; and summing the respective red blood cell volume losses corresponding to the multiple respective time slices to obtain the red blood cell volume loss corresponding to the dialyzer.
14. The method according to claim 12, wherein accumulating the multiple differences in red blood cell volume comprises: determining, through mathematical regression, a function relating difference in red blood cell volume between the input port and the output port and time; and integrating the function over a time interval of interest.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
(2)
(3)
(4)
(5)
(6)
DETAILED DESCRIPTION
(7) Dialyzers can accumulate red cells in mechanical corners and pockets within the dialyzer filter fibers. When red blood cells stagnate within the dialyzer filter fibers instead of being rejuvenated by circulation through the body, heart, and lungs, they tend to deteriorate over time and coagulate, that is, bond to each other forming a clot. Blood clots during dialysis represent blood loss from the overall body blood volume of red cells. Increased clotting or blood coagulation within the dialyzer can render the dialyzer increasingly ineffective as the treatment continues and ultimately restrict the dialysis circuit flow rate through parts of the dialyzer.
(8) In an exemplary embodiment, the disclosure provides for quantifying actual red cell loss as a result of using a particular dialyzer. As blood passes through the small fibers of the dialyzer, the incidental movement and collisions of the red cells with the extended lengths of the internal straw-like fibers can cause red cells to lodge within the dialyzer. Heparin use is limited because, while it tends to minimize the lodging and clotting of red cells within the dialyzer, it also reduces the patient's short-term ability to stop bleedingwhether externally or internallyfor several hours. A practical dose of Heparin for patient safety may not be sufficient to prevent clotting from occurring within the hundreds of cumulative feet of internal dialyzer fibers.
(9) In services such as Continual Renal Replacement Therapy (CRRT), where slow-speed dialysis in the Intensive Care Unit (ICU) environment is at times administered, clotting in the dialyzer is common. When clotting occurs, replacement of the dialyzer and tubing set on the CRRT device is often performed, and this results in the loss of the residual blood discarded in the dialyzer and tubing set from the patient. Incidental loss of this blood volume in discarded disposables can, in some cases, present a negative effect on the patient's overall blood volume level.
(10) Exemplary embodiments of the disclosure use measured or other available information to calculate and quantify the loss of red cell volume due to these cells either clotting or lodging in the dialyzer over time. This quantified loss of red cell volume can potentially be used as another qualifier for dialyzer effectiveness and quality of dialyzer filters.
(11) Exemplary embodiments of the disclosure provide a method for quantitatively evaluating the clotting rate of a dialyzer and using the quantitative evaluation as a potential rating value for dialyzer efficiency. A family of dialyzers with low loss of red blood cells per a given treatment time may be considered better than a different family of dialyzers with a much shorter clotting time, even when both families of dialyzers have the same dialyzer clearance rating.
(12)
(13)
(14) An input needle or catheter 16 is inserted into an access site of the patient 10, such as in the arm, and is connected to extracorporeal tubing 18 that leads to a peristaltic pump 20 and then to a dialyzer or blood filter 22. The dialyzer 22 removes toxins and excess fluid from the patient's blood. The dialyzed red cell blood volume is returned from the dialyzer 22 through extracorporeal tubing 24 and return needle or catheter 26. In some parts of the world (primarily the United States), the extracorporeal blood flow may additionally receive a heparin drip to prevent clotting. The excess fluids and toxins are removed by clean dialysate liquid, which is supplied to the dialyzer 22 via tube 28 and removed for disposal via tube 30. A typical hemodialysis treatment session takes about 3 to 5 hours in the United States.
(15) In the exemplary environment depicted in
(16)
(17) The exemplary system 200 shows a generalized embodiment which may be incorporated in either the hemodialysis system 12 provided, as outlined in
(18) For an integrated embodiment, the hematocrit measurement engine 214, the flowrate measurement engine 216, and the accumulated red blood volume engine 218 correspond to hardware that includes one or more processors, for example, microprocessors or microcontrollers. The hardware also includes a non-transitory computer-readable medium for temporary and/or permanent storage, for example, a read-only memory (ROM), a random access memory (RAM), a flash memory, and other computer memories and storage.
(19) Additionally, the hematocrit measurement engine 214 may utilize one or more optical blood sensor assemblies, for example, optical blood sensor assembly 34, to measure hematocrit values at both main blood flow ports of the dialyzer 204. The accumulated red blood volume engine 218 may be a computing device, for example, the controller 35, that utilizes a processor and storage to determine the hematocrit values of the dialyzer 204, read the blood flowrate entering the dialyzer 204 from the processor in the dialysis machine 12, read the ultra-filtration rate of the dialysis machine 12 and then calculate the accumulated red blood volume lost in the dialyzer 204.
(20) In the system 200 of
(21) Multiple methods may be used to determine the flowrates Q.sub.b_in and Q.sub.b_out. As shown in
(22) In another exemplary embodiment, for a laboratory environment for evaluating dialyzers (
(23) In the laboratory environment, the ports for dialysate flow can be plugged such that a UFR is zero. UFR may not be required in a laboratory setting where patients are not treated. The laboratory environment may produce a base red cell efficiency value through time testing. Another study may be performed to evaluate whether the efficiency of a given dialyzer is affected by the pulling of fluids, and hence red cells, against the straw fiber walls under osmality of dialysate flow versus the laboratory condition with no dialysate flow. Nonetheless, the mass balance of the equations remains the same.
(24) In addition to determining flowrates, the system 200 also determines hematocrit at the input port of the dialyzer 204 (HCT.sub.in) and the output port of the dialyzer 204 (HCT.sub.out). In one embodiment, a ratiometric technique, as disclosed in U.S. Pat. No. 5,372,136 entitled, System and Method for Non-Invasive Hematocrit Monitoring, which is incorporated by reference in its entirety, can be used to determine hematocrit values at locations 206 and 208 in
(25) The method of measuring hematocrit can be varied. Simultaneous or near simultaneous (within minutes) samples of blood from before and after the dialyzer (206 and 208 in
(26) The accumulated red blood volume engine 218 receives hematocrit measurements from the hematocrit measurement engine 214 and receives flowrate measurements from the flowrate engine 216. Using the hematocrit and the flowrate measurements, the accumulated red blood volume engine 218 determines the red cell blood volume loss (or red blood volume loss) in the dialyzer 204. The amount of red blood volume loss in the dialyzer 204 is determined by accumulating over time the difference between red blood volume flowing into the dialyzer 204 and red blood volume flowing out of the dialyzer 204.
(27) Red blood volume flowing into the dialyzer 204 is related to the hematocrit at the input port of the dialyzer 204 and the blood flowrate at the input port of the dialyzer 204 through Eq. 1.
(28)
(29) Red blood volume flowing out of the dialyzer 204 is related to the hematocrit at the output port of the dialyzer 204 and the filtered blood flowrate at the output port of the dialyzer 204 through Eq. 2.
(30)
(31) The filtered blood flowrate Q.sub.b_out is related to the Ultra-Filtration Rate (UFR) and the input blood flowrate Q.sub.b_in through Eq. 3.
Q.sub.b_out=Q.sub.b_inUFREq. 3
(32) Embodiments of the disclosure use the hematocrit monitoring engine 214 to measure the HCT of the blood entering the dialyzer 204 and then the HCT blood exiting the dialyzer 204. Due to the nature of the dialyzer 204, no red blood cells are lost across dialyzer membranes within the dialyzer 204only fluid, for example, urea, passes through into the waste collecting dialysate. Since red blood cells do not cross the dialyzer membranes into the waste, mass balance analysis of the red blood cell volume over time may be used to determine the red blood cell loss in the dialyzer 204, based on the input and output dialysis measurements of the dialyzer 204.
(33) A difference R between red blood volume flowing into the dialyzer 204 and red blood volume flowing out of the dialyzer 204 may be defined according to Eq. 4.
R=RBV.sub.inRBV.sub.outEq. 4
(34) Combining Eq. 1 through Eq. 4 yields Eq. 5.
R=HCT.sub.inQ.sub.b_inHCT.sub.out(Q.sub.b_inUFR)Eq. 5
(35) The accumulated red blood volume engine 218 determines R using relationships shown in Eq. 1 through Eq. 5, depending on what information it receives from the hematocrit measurement engine 214 and flowrate engine 216. Note that in
(36) After determining R, the accumulated red blood volume engine 218 continually combines historical values of R to determine the amount of red blood volume loss in the dialyzer 204 over the designated period of time. During dialysis, the amount of red blood volume loss in the dialyzer 204 over the period of time represents an active clotting within the dialyzer.
(37)
(38) At step 504, the system 200 measures hematocrit at both the input port and the output port of the dialyzer 204. Using techniques already described, HCT.sub.in and HCT.sub.out are measured. Eq. 1 and Eq. 2 relate HCT.sub.in and HCT.sub.out to the flowrates obtained at step 502.
(39) In a fully functional new dialyzer, mass balance shows that R is zero at time=t.sub.0. At step 506, the system 200 determines a change in red blood cell volume between the input port and the output port of the dialyzer 204 (R at time=t.sub.n). Using the flowrates at step 502 and the hematocrit measurements at step 504, the system 200 determines R at time=t.sub.n with relationships provided in Eq. 4, Eq. 5, or substitutive equivalents of both, depending on which parameters are available to the system 200.
(40) At step 508, the system 200 then determines an accumulated red blood cell volume remaining in the dialyzer. This may be done in multiple ways. In one embodiment, the accumulated red blood cell volume may be determined in a piecewise incremental fashion by multiplying the R values by their respective time slices and summing discrete time period residual loss of blood in the dialyzer. In another embodiment, the accumulated red blood cell volume may be realized by determining a function for R through mathematical regression and then integrating the resulting function over the time interval of interest.
(41) Dialyzer efficiency may be evaluated according to embodiments of the disclosure. The accumulated red blood cell volume remaining in the dialyzer may be determined as a function of elapsed time, allowing dialyzers to be compared according to volume of red cells lost per unit time. By qualifying dialyzer efficiency in this manner, manufacturers and customers have a better understanding or idea of how red cells move through a dialyzer. The accumulated red blood cell volume may be stratified in categories, for example, good, fair, and poor. The categorization of dialyzers in this manner may help a manufacturer produce a dialyzer with new shells incorporating coatings that streamline how red cells move through the dialyzer. The categorization of dialyzers in this manner may also help healthcare providers select appropriate dialyzers for specific applications.
(42) As described, dialyzer efficiency may be qualified according to volume of red cells lost per unit time. In an embodiment, the output of a system configuration for evaluating dialyzers, for example, the laboratory environment of
(43) In an exemplary implementation, the HCT computer and display 35 may determine that the dialyzer is in one of the three categories by comparing the accumulated red blood cell volume to two accumulated red blood cell volume thresholds. The two thresholds include a first threshold separating good dialyzers from fair dialyzers, and the second threshold separating fair dialyzers from poor dialyzers. The second threshold is higher than the first threshold, such that the accumulated red blood cell volume increases on the continuum of good, fair, and poor. The HCT computer and display 35 may compare accumulated red blood cell volume obtained at step 508 with the first and the second thresholds to determine whether the dialyzer under test is a good dialyzer, a fair dialyzer, or a poor dialyzer and then display the category of the dialyzer on the screen for a user.
(44) In some embodiments, instead of three categories, two categories or a pass/fail categorization may be employed by the HCT computer and display 35. The HCT computer and display 35 may compare the accumulated red blood volume obtained at step 508 with a pass-fail threshold, such that when the accumulated red blood volume exceeds the threshold, the dialyzer is categorized under the fail category and when the accumulated red blood volume is equal to or below the threshold, the dialyzer is categorized under the pass category. The HCT computer and display 35 may then provide a user with either a pass or a fail for the dialyzer under test.
(45) In an exemplary implementation, dialyzer efficiency can be compared and categorized based on measured R values instead of the accumulated red blood volume. A R value at a designated time t.sub.m for each dialyzer being evaluated may be compared to one another. In some embodiments, a dialyzer with the lowest R value at the designated time t.sub.m is the most efficient dialylzer. In some embodiments, the dialyzers are categorized as good, fair, and poor by comparing each dialyzer's R value at the designated time t.sub.m with a first R threshold and a second R threshold. In some embodiments, the dialyzers are categorized as pass/fail by comparing each dialyzer's R value at the designated time t.sub.m with a R threshold.
(46) An alternative system configuration 600 to measuring dialyzer efficiency is shown in
(47) In an initial step, the prepared blood in container 610 is pumped out of the container 610 through blood line 620 using the peristaltic pump 630. The blood arrives at the input side of the dialyzer 650 through tubing set 620 after the pump. At location 640, the blood line can be configured to contain a blood draw button, which self-seals once a hypodermic needle is inserted and removed.
(48) The dialyzer ports 660, which normally support dialysate flow, are blocked. As in the laboratory environment of
(49) The flow rate Q.sub.b_in may be set by the speed of pump 630. At timed intervals, a blood draw is performed, for example, 5 cc to 7 cc, by inserting a needle connected to a syringe into the button at 640 and pulling the syringe until the appropriate volume registers in the syringe markings. A separate syringe and needle is used to collect a similar sample from the output side of the dialyzer at the button 670. Blood sample in both syringes may then be immediately measured with a Coulter cell counter, or other cell counter device, to obtain the HCT.sub.in and HCT.sub.out values from the 640 button and the 670 button, respectively.
(50) With Q.sub.b_in, HCT.sub.in, and HCT.sub.out determined, R may be obtained using, for example, step 506 of
(51) In
(52) Using a cell counter may provide higher precision than other methods for determining the hematocrit values in the system 600. In some embodiments, approximations of the hematocrit values are possible by measuring hemoglobin instead. The hemoglobin measurements may then be used to approximate the hematocrit values. Hemoglobin measurements may incur some loss in precision compared to direct measurements of hematocrit. A quick conversion between measured hemoglobin numbers and hematocrit may be performed by multiplying the hemoglobin numbers by 3.0.
(53) All references, including publications, patent applications, and patents, cited herein are hereby incorporated by reference to the same extent as if each reference were individually and specifically indicated to be incorporated by reference and were set forth in its entirety herein.
(54) The use of the terms a and an and the and at least one and similar referents in the context of describing the invention (especially in the context of the following claims) are to be construed to cover both the singular and the plural, unless otherwise indicated herein or clearly contradicted by context. The use of the term at least one followed by a list of one or more items (for example, at least one of A and B) is to be construed to mean one item selected from the listed items (A or B) or any combination of two or more of the listed items (A and B), unless otherwise indicated herein or clearly contradicted by context. The terms comprising, having, including, and containing are to be construed as open-ended terms (i.e., meaning including, but not limited to,) unless otherwise noted. Recitation of ranges of values herein are merely intended to serve as a shorthand method of referring individually to each separate value falling within the range, unless otherwise indicated herein, and each separate value is incorporated into the specification as if it were individually recited herein. All methods described herein can be performed in any suitable order unless otherwise indicated herein or otherwise clearly contradicted by context. The use of any and all examples, or exemplary language (e.g., such as) provided herein, is intended merely to better illuminate the invention and does not pose a limitation on the scope of the invention unless otherwise claimed. No language in the specification should be construed as indicating any non-claimed element as essential to the practice of the invention.
(55) Preferred embodiments of this invention are described herein, including the best mode known to the inventors for carrying out the invention. Variations of those preferred embodiments may become apparent to those of ordinary skill in the art upon reading the foregoing description. The inventors expect skilled artisans to employ such variations as appropriate, and the inventors intend for the invention to be practiced otherwise than as specifically described herein. Accordingly, this invention includes all modifications and equivalents of the subject matter recited in the claims appended hereto as permitted by applicable law. Moreover, any combination of the above-described elements in all possible variations thereof is encompassed by the invention unless otherwise indicated herein or otherwise clearly contradicted by context.