Dialysis prescription optimization for decreased arrhythmias
11395868 · 2022-07-26
Assignee
Inventors
- Amy Roettger (Minneapolis, MN)
- VenKatesh R. Manda (Stillwater, MN)
- John Burnes (Coon Rapids, MN)
- Rebecca Poindexter (Minneapolis, MN)
- Martin T. Gerber (Maple Grove, MN)
Cpc classification
A61B5/14546
HUMAN NECESSITIES
G16H20/40
PHYSICS
A61M1/3609
HUMAN NECESSITIES
A61B5/6866
HUMAN NECESSITIES
G16H50/30
PHYSICS
A61M1/3601
HUMAN NECESSITIES
A61M2230/04
HUMAN NECESSITIES
A61M2230/005
HUMAN NECESSITIES
A61B5/7275
HUMAN NECESSITIES
International classification
A61M1/36
HUMAN NECESSITIES
A61M1/34
HUMAN NECESSITIES
G16H50/30
PHYSICS
A61B5/00
HUMAN NECESSITIES
G16H20/40
PHYSICS
Abstract
Systems and methods are provided for determining an estimated risk of arrhythmia during or after dialysis based on changes in serum potassium concentration of a patient and an amount of fluid removed from the patient during dialysis. The systems and methods allow for a determination of a risk that arrhythmia will occur due to the changes in potassium and fluid volume of a patient during dialysis, and for optimizing a dialysis prescription in order to minimize the risk of arrhythmia.
Claims
1. A method, comprising the steps of: measuring a change in potassium concentration of a patient during dialysis to calculate a risk score for cardiac arrhythmia during or after dialysis; measuring a volume of fluid removed from the patient during dialysis; and calculating the risk score for arrhythmia for the patient; wherein the risk score is indicative of a probability of cardiac arrhythmia.
2. The method of claim 1, further comprising the step of calculating a change in potassium concentration during dialysis based on a pre-dialysis potassium concentration and a post-dialysis potassium concentration.
3. The method of claim 2, wherein at least one of the pre-dialysis potassium concentration and post-dialysis potassium concentration is measured by changes in an ECG for the patient.
4. The method of claim 2, wherein at least one of the pre-dialysis potassium concentration and post-dialysis potassium concentration is measured by a potassium monitor connected to a patient or extracorporeal flow loop.
5. The method of claim 2, wherein the potassium concentration of the patient is measured using a potassium sensor upstream of a dialyzer of a dialysis system and a potassium sensor downstream of the dialyzer.
6. The method of claim 1, wherein the step of calculating a risk score for arrhythmia uses an algorithm.
7. The method of claim 1, further comprising the step of measuring the change in potassium concentration of a patient using any one of an implantable loop recorder, implantable defibrillator, implantable cardiac monitor, blood analysis, ion-selective electrode, or flame photometer.
8. The method of claim 1, further comprising the step of increasing monitoring of the patient after dialysis if the risk score for arrhythmia is above a preset threshold.
9. The method of claim 8, wherein the predetermined threshold is between any of 0.01 and 0.03, 0.01 and 0.015, 0.01 and 0.02, 0.015 and 0.03, or 0.02 and 0.03 arrhythmias estimated per hour.
10. The method of claim 8, wherein the predetermined threshold is less than or equal to 0.02 instances of arrhythmia per hour.
11. The method of claim 1, wherein the step of calculating a risk score for arrhythmia uses a lookup table.
12. The method of claim 1, wherein the step of measuring a fluid volume removed from the patient during dialysis uses impedance measurements or a comparison of the patient's weight to a known or estimated dry weight of the patient.
13. The method of claim 1, wherein the step of calculating a risk score for arrhythmia uses a linear or non-linear function of the change in potassium concentration of a patient during dialysis and volume of fluid removed from the patient during dialysis.
14. The method of claim 1, wherein the step of calculating a risk score for arrhythmia uses a statistical model.
15. The method of claim 14, wherein the statistical model uses negative binomial mixed effects regression model, a Poisson model, or a zero-inflated negative binomial mixed regression model.
16. The method of claim 1, wherein the step of calculating a risk score for arrhythmia uses at least one factor in addition to the change in potassium concentration of a patient during dialysis and the volume of fluid removed from the patient during dialysis.
17. The method of claim 16, further comprising the step of averaging the pre-dialysis potassium concentration or the post-dialysis potassium concentration measured by the at least two different methods.
18. The method of claim 1, wherein at least one of the pre-dialysis potassium concentration and the post-dialysis potassium concentration are measured using at least two different methods.
19. The method of claim 18, wherein the dialysis system is a regenerative dialysis system.
20. The method of claim 1, wherein the method is performed by a processor of a dialysis system.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
(2)
(3)
(4)
(5)
DETAILED DESCRIPTION OF THE INVENTION
(6) Unless defined otherwise, all technical and scientific terms used generally have the same meaning as commonly understood by one of ordinary skill in the art.
(7) The articles “a” and “an” are used to refer to one or to over one (i.e., to at least one) of the grammatical object of the article. For example, “an element” means one element or over one element.
(8) The term “algorithm” refers to a set of self-contained step-by-step operations to be performed to solve a problem or complete a process. An algorithm can contain one or more equations, and can also be a computer program.
(9) The term “altering the potassium prescription,” or to “alter the potassium prescription” refers to the process of changing an initially determined potassium prescription. In any embodiment, a potassium prescription can be altered during dialysis, and the described systems can automatically carry out the altered potassium prescription.
(10) An “anticipated change in fluid volume” refers to a predicted or estimated change in the fluid volume of a patient that will occur during a dialysis session.
(11) An “anticipated change in potassium concentration” refers to a predicted or estimated change in the potassium concentration of a patient that will occur during a dialysis session.
(12) An “arrhythmia” or “arrhythmia event” is a condition wherein a subject's heart beats at an abnormal rhythm. As used herein, arrhythmia can refer to atrial fibrillation, atrial flutter, ventricular fibrillation, ventricular tachycardia, bradyarrhythmia, or any type of arrhythmia known in the art.
(13) The term “based in part” refers to a calculation or determination comprising at least the noted variables. In any embodiment, other variables may be included in the calculation or determination, however, the noted variables must be used.
(14) The term “blood analysis” refers to determining the concentration of a solute in the blood of a patient by directly measuring the concentration in a sample of blood.
(15) The term “calculating,” or “to calculate” refers to the process of determining a given value mathematically. The process can be implemented using specifically purposed computers, processors, software, and the like.
(16) The term “comprising” includes, but is not limited to, whatever follows the word “comprising.” Use of the term indicates the listed elements are required or mandatory but that other elements are optional and may be present.
(17) The term “configured to obtain” refers to the ability of a component to receive information.
(18) The term “consisting of” includes and is limited to whatever follows the phrase “consisting of.” The phrase indicates the limited elements are required or mandatory and that no other elements may be present.
(19) The term “consisting essentially of” includes whatever follows the term “consisting essentially of” and additional elements, structures, acts or features that do not affect the basic operation of the apparatus, structure or method described.
(20) The term “continuously receive” refers to the ability of a component to receive information repeatedly. In any embodiment, the term “continuously receive” can refer to the ability to receive information constantly and in real-time. However, the term “continuously receive” can also refer to the ability to receive information at short intervals.
(21) The term “control” or “configured to control” refers to the ability of one component to direct the actions of a second component.
(22) The term “control electronics” refers to combinations of components that act together to maintain a system to a desired set of performance specifications. The control electronics can use processors, memory and computer components configured to interoperate to maintain the desired performance specifications.
(23) A “desired fluid volume change” is a value indicative of the difference between a pre-dialysis fluid volume of a patient and a post-dialysis fluid volume of a patient, wherein the post-dialysis fluid volume of a patient is set at some level in order to optimally treat the patient
(24) A “desired potassium concentration change” is a value indicative of the difference between a pre-dialysis potassium concentration of a patient and a post-dialysis potassium concentration of a patient, wherein the post-dialysis potassium concentration of a patient is set at some level in order to optimally treat the patient.
(25) A “determined dialysate potassium concentration” refers to a concentration of potassium in a dialysate that is set to some value.
(26) “Determining a fluid volume of a patient” refers to calculating a total amount of either intra-, or extracellular fluid in the patient, or both intra- and extracellular fluid combined.
(27) “Determining a potassium concentration of a patient” refers to calculating the amount of potassium in the blood of a patient at any given point in time. The potassium concentration can be defined in terms of mmol/L, mEq/L, or any other value that provides the amount of potassium in the blood of the patient.
(28) The term “dialysate” describes a fluid into or out of which solutes from a fluid to be dialyzed diffuse through a membrane.
(29) The term “dialysate inlet” refers to the portion of a dialyzer into which dialysate enters the dialyzer.
(30) A “dialysate outlet” is the portion of a dialyzer from which dialysate exits the dialyzer.
(31) The term “dialysate flow loop” refers to the path through which dialysate can travel during dialysis.
(32) A “dialysis session” is period of time that a patient is treated by dialysis, hemodialysis, hemofiltration, ultrafiltration, combinations thereof, or other blood fluid removal therapy.
(33) The term “dialyzer” refers to a cartridge or container with two flow paths separated by semi-permeable membranes. The membranes can be in the form of hollow fibers, flat sheets, or spiral wound or other conventional forms known to those of skill in the art. Membranes can be selected from the following materials of polysulfone, polyethersulfone, poly(methyl methacrylate), modified cellulose, or other materials known to those skilled in the art.
(34) The term “downstream” refers to a position of a first component in a flow path relative to a second component wherein fluid will pass by the second component prior to the first component during normal operation. The first component can be said to be “downstream” of the second component, while the second component is “upstream” of the first component.
(35) The term “extracorporeal flow loop” refers to a fluid pathway incorporating one or more components such as but not limited to conduits, valves, pumps, fluid connection ports or sensing devices configured therein such that the pathway conveys blood from a subject to an apparatus for hemodialysis, hemofiltration, hemodiafiltration or ultrafiltration and back to the subject.
(36) A “flame photometer” is a device that measures the spectral lines in a vaporized solution in order to determine the concentration of metal ions in the solution.
(37) The term “fluid volume of a patient” refers to the total amount of intra- and extracellular fluid in the patient.
(38) The term “fluid volume removed from a patient” refers to the amount of fluid removed from a patient during a dialysis session.
(39) The term “fluid connection,” “fluidly connectable,” and “fluidly connected” refers to the ability to pass fluid or gas from one point to another point. The two points can be within or between any one or more of compartments, modules, systems, and components, all of any type.
(40) An “implantable cardiac monitor” is a device implantable into a patient that can monitor the electrical activity of the patient's heart.
(41) An “implantable defibrillator” is a device implantable into a patient that can monitor the electrical activity of the patient's heart and perform cardioversion, defibrillation and pacing of the heart.
(42) An “implantable loop recorder” is a device implantable into a patient that can monitor and record the electrical activity of the patient's heart.
(43) An “ion-selective electrode” is a sensor that converts the activity of a specific ion dissolved in a solution into an electrical potential, which can be measured by a voltmeter or pH meter and used to determine the concentration.
(44) The term “lookup table” refers to an electronic table correlating the effects of changing a particular variable or variables on a given outcome.
(45) The term “manages the risk of arrhythmia” or to “manage the risk of arrhythmia” refers to the process of causing the risk of arrhythmia to be at or below some predetermined level.
(46) The term “measuring a change in potassium concentration of a patient” or to “measure a change in potassium concentration of a patient” refers to making a calculation of the difference between a pre-dialysis potassium concentration in the patient and a post-dialysis potassium concentration in the patient.
(47) The term “measuring a fluid volume removed from the patient” or to “measure a fluid volume removed from the patient” refers to making a calculation of the difference between a pre-dialysis fluid level of the patient and the post-dialysis fluid level of the patient.
(48) The term “monitoring a patient potassium concentration,” or to “monitor a patient potassium concentration” refers to the process of measuring the potassium concentration of a patient during a dialysis session.
(49) The term “monitoring an amount of fluid removed from the patient,” or to “monitor an amount of fluid removed” refers to the process of measuring the amount of fluid removed from a patient during a dialysis session.
(50) The term “post-dialysis potassium concentration” refers to the concentration of potassium in a patient after the patient undergoes dialysis.
(51) The term “potassium concentration of a patient” refers to the amount of potassium in the blood of a patient at any given point in time. The potassium concentration can be defined in terms of mmol/L, mEq/L, or any other value that provides the amount of potassium in the blood of the patient.
(52) The term “potassium prescription” refers to a preset or desired change or value in potassium concentration of a patient during a dialysis session.
(53) A “potassium pump” is a pump connected to a potassium reservoir, wherein the potassium pump controls the movement of fluid between the potassium reservoir and a dialysate flow path.
(54) A “potassium reservoir” is a container of any type that contains a solution of potassium ions.
(55) A “potassium sensor” is a component that is capable of determining the potassium concentration in a fluid.
(56) The term “predetermined level” or “predetermined number” refers to a value for a given parameter that is determined prior to the dialysis session.
(57) The term “pre-dialysis potassium concentration” refers to the potassium concentration of a patient prior to undergoing dialysis treatment.
(58) A “probability of cardiac arrhythmia” refers to any value that is correlated to the chances that a cardiac arrhythmia will occur in a given time period.
(59) The term “processor” as used herein is a broad term and is to be given its ordinary and customary meaning to a person of ordinary skill in the art. The term refers without limitation to a computer system, state machine, processor, or the like designed to perform arithmetic or logic operations using logic circuitry that responds to and processes the basic instructions that drive a computer. In any embodiment of the first, second, third, and fourth invention, the terms can include ROM (“read-only memory”) and/or RAM (“random-access memory”) associated therewith.
(60) The term “pump rate” refers to the volume of fluid that a pump conveys per unit of time.
(61) A “risk score for arrhythmia” is a numerical value indicative of the probability that an arrhythmia will occur in a patient. In any embodiment, the risk score for arrhythmia can be calculated as a probability of arrhythmia, or instead can be calculated as an estimated number of arrhythmias the patient will experience in a given time frame.
(62) “Setting” a dialysis prescription, ultrafiltration prescription, potassium prescription, or similar, generally refers to placing, adjusting, or facilitating any set of parameters required for a particular patient for the specified dialysis, ultrafiltration, potassium prescription to be achieved during a therapy session.
(63) The term “ultrafiltration prescription” refers to the amount of fluid to be removed from a patient during a dialysis session, and/or the rate of fluid removal from the patient.
(64) An “ultrafiltration pump” is a pump capable of controlling the rate of ultrafiltration from a patient during dialysis by controlling the net fluid movement between the blood side and dialysate side of the dialyzer.
(65) An “updated determined potassium concentration in the dialysate” refers to a second calculation of a determined potassium concentration in the dialysate using information not available or not used during an initial calculation of the determined potassium concentration in the dialysate.
(66) An “updated ultrafiltration prescription” refers to a second determination of an ultrafiltration prescription using information not available or not used during an initial determination of an ultrafiltration prescription.
(67) Arrhythmia Risk
(68) The first, second, and third aspects of the invention relate to systems and methods for determining a risk of cardiac arrhythmia based on an intradialytic change in fluid volume and potassium concentration of a patient, as well as system and methods to prevent an increased risk of cardiac arrhythmia during and after dialysis.
(69) The risk of cardiac arrhythmia during and after dialysis is affected by both a change in potassium concentration for a patient and an amount of fluid removed from the patient during the dialysis session. In order to lessen the risk of cardiac arrhythmia, the change in potassium concentration in a patient and the amount of fluid removed from the patient can be controlled.
(70)
(71) In any embodiment of the first, second, or third aspects of the invention, a risk score can be calculated corresponding to a probability of arrhythmia due to the changes in potassium levels and fluid levels of a patient during dialysis. As shown in
(72) One of ordinary skill in the art will understand, that once an ultrafiltration prescription and potassium prescription are set, there are several methods to achieve the desired changes. The amount of fluid removed from a patient can be altered by changing the rate at which ultrafiltrate is removed from the blood of the patient. The potassium concentration in a patient can be altered by changing the concentration of potassium in the dialysate, changing the blood flow rate during dialysis, or changing the dialysate flow rate during dialysis. These methods, or any other methods of achieving a particular change in potassium concentration and a particular change in fluid volume for the patient are within the scope of this invention. In any embodiment of the first, second, or third aspects of the invention, the ultrafiltration prescription and/or potassium prescription can be set by a processor, as described herein. The processor, after determining the desired change in fluid volume and the desired change in potassium concentration, can set an ultrafiltration prescription and a potassium prescription to achieve these desired changes. The processor can then transmit the prescriptions or instructions for achieving the prescribed changes to control electronics in order to carry out the determined prescriptions, as described herein. In any embodiment of the first, second, or third aspects of the invention, the ultrafiltration prescription and potassium prescription can be set by a user as opposed to a processor. One of skill in the art will understand how to set a dialysis prescription based on the desired changes in potassium concentration and fluid volume, such as by controlling the pump rate of an ultrafiltration pump or by changing the potassium concentration of the dialysate.
(73) In any embodiment of the first, second, or third aspects of the invention, the amount of fluid removed from the patient, and the potassium concentration of the patient can be monitored during dialysis. The monitored values can be used to calculate a second risk score based on the actual results during dialysis. If the monitored values deviate from the prescription determined prior to dialysis, the described methods can include altering the ultrafiltration prescription and/or potassium prescription to ensure that the patient risk score for arrhythmia does not cross the predetermined level. In any embodiment of the first, second, or third aspects of the invention, the amount of fluid removed from the patient and the potassium concentration of the patient can be continuously monitored, and new risk scores can be continuously calculated. This allows the ultrafiltration and potassium prescriptions to be continuously updated and the ultrafiltration rate and potassium concentration in the dialysate to be continuously adjusted based on real-time analysis of the risk scores.
(74) In any embodiment of the first, second, or third aspects of the invention, the potassium concentration in the dialysate can be changed at a predetermined time and by a predetermined amount. For example, at some point during the dialysis session, the potassium concentration in the dialysate can be changed from 0 mEq/L to 2 mEq/L during a dialysis session in order to better control the changes in patient potassium concentration. In any embodiment of the first, second, or third aspects of the invention, the change in potassium concentration in the dialysate can occur at any point during the dialysis session, including at or near the half-way point of the dialysis session. In any embodiment of the first, second, or third aspects of the invention, the potassium concentration of the dialysate can be changed by any amount, including from between 0 mEq/L to 2 mEq/L, from 0 mEq/L to 1 mEq/L, or from 1 mEq/L to 2 mEq/L. In any embodiment of the first, second or third aspects of the invention, the potassium concentration of the dialysate can be changed from 2 mEq/L to 0 mEq/L, from 2 mEq/L to 1 mEq/L or from 1 mEq/L to 0 mEq/L. One of ordinary skill in the art will understand that other predetermined adjustments to the potassium concentration can be made at various times during a dialysis session in order to better control the changes in patient potassium concentration.
(75) In any embodiment of the first, second, or third aspects of the invention, the system can be used to calculate a risk score for arrhythmia after a dialysis session by measuring the change in potassium concentration of the patient during dialysis and measuring the fluid volume removed from the patient during dialysis. The change in potassium concentration during dialysis can be calculated as the difference between the pre-dialysis potassium concentration for the patient and the post-dialysis potassium concentration of the patient. Calculation of a risk score for arrhythmia after a dialysis session can be useful in order to minimize the adverse affects of arrhythmias due to changes during dialysis. For example, if after dialysis a patient is determined to be at high risk for arrhythmia, increased monitoring can be used to ensure that any arrhythmia events are immediately treated.
(76)
(77) Potassium reservoir 307 can be fluidly connected to the dialysate flow loop and contain a source of potassium ions. In any embodiment of the first, second, or third aspects of the invention, the potassium reservoir 307 can contain a concentrated solution of potassium. Potassium can be added to the dialysate by operation of potassium pump 308 in order to achieve a desired concentration of potassium in the dialysate. The desired concentration of the potassium can be determined as described herein, and the potassium pump can be controlled to achieve the determined potassium concentration of the dialysate.
(78) Fluid removal from the patient can be controlled by an ultrafiltrate system, comprising an ultrafiltration pump 305 and ultrafiltrate reservoir 304 fluidly connected to the dialysis flow loop. The ultrafiltration pump 305 can control the net fluid movement between the patient and the dialysate flow loop. Ultrafiltration pump 305 can be operated to draw fluid out of the dialysate flow loop 301 and into the ultrafiltrate reservoir 304. This will cause a net movement of fluid across the dialyzer 309 from the patient to the dialysate flow loop 301, thereby removing fluid from the patient. In any embodiment of the first, second, or third aspects of the invention, ultrafiltration pump 305 can also be operated to move fluid from ultrafiltrate reservoir 304 to the dialysate flow loop 301, providing a net movement of fluid across the dialyzer 309 from the dialysate flow loop 301 to the patient. In any embodiment of the first, second, or third aspects of the invention, movement of fluid between the dialysate flow loop 301 and ultrafiltrate reservoir 304 can be controlled by multiple pumps, wherein each pump can move fluid in a single direction.
(79) Dialysate regeneration module 303 can be utilized to remove waste products from the dialysate. In any embodiment of the first, second or third aspects of the invention, dialysate regeneration module 303 can be a sorbent cartridge, which can contain sorbent materials that act to remove solutes from the dialysate in order to regenerate the dialysate. In any embodiment of the first, second or third aspects of the invention, dialysate regeneration module 303 can be any system known in the art capable of regenerating dialysate so that the dialysate can be circulated back to the dialyzer 309. In any embodiment of the first, second, or third aspects of the invention, a potassium sensor 306 can be included in the dialysate flow loop in order to monitor the concentration of potassium in the dialysate. The potassium monitor can be used to ensure that the proper potassium prescription is actually being used. In any embodiment of the first, second, or third aspects of the invention, a second potassium sensor (not shown) can be included downstream of the dialyzer. The difference between the potassium concentration prior to the dialysate reaching the dialyzer and the potassium concentration after the dialysate passes through the dialyzer can be used to calculate the potassium concentration of the patient. This allows continuous monitoring of the potassium concentration of the patient, and can allow for adjustment of the potassium or ultrafiltration prescription during dialysis in response to changes in patient potassium levels.
(80) Although the system shown in
(81) As explained, in any embodiment of the first, second, or third aspects of the invention, the potassium concentration of the dialysate can be changed during a dialysis session. This change can be made manually, such as by changing the dialysate being used, or can be made in an automated fashion. In any embodiment of the first, second, or third aspects of the invention, a separate potassium feed solution can be provided. This potassium feed solution, similar to the potassium reservoir 307 and pump 308 of the system illustrated in
(82) Calculation of Risk Scores
(83) A prospective observational study was conducted to characterize the type and frequency of arrhythmias in patients receiving hemodialysis. 66 patients were implanted in the study. Data from each dialysis session, in addition to pre and post-session blood chemistries were collected bi-weekly for the first four weeks, and weekly for the following 22 weeks. Cardiac data from implantable cardiac monitoring systems were used to continuously monitor cardiac rhythm, heart rate and activity. The data from the cardiac monitoring system was collected concurrently with the hemodialysis treatment data over six months. All cardiac events were reviewed and adjudicated. Clinically significant arrhythmias (CSA) were defined to include bradycardia of ≤40 bpm for ≥6 seconds; asystole≥3 seconds; sustained ventricular tachycardia of ≥130 bmp for ≥30 seconds and symptomatic arrhythmias. Other documented arrhythmias, referred to as reviewer confirmed arrhythmias (RCA) included arrhythmias that do not meet the CSA arrhythmia definitions, atrial fibrillation and sinus tachycardia of >130 bpm. During the six months, 44 of the enrolled patients (67%) experienced a total of 1,720 CSA while 64 subjects (97%) had at least one of 12,686 RCA. During the study, a blood analysis was done in order to determine the serum potassium concentration of the patients. Because, during the study, blood was not routinely collected outside of the first dialysis session of the week, analysis was limited to the first dialysis session of the week. The time interval studied for the potassium analysis was the eight hours following the first dialysis session of the week. In any embodiment of the first, second, or third aspects of the invention, a time period for analysis of longer or shorter than 8 hours can be used, including between any of 1 hr to 2 days, 1 hr to 6 hrs, 1 hr to 8 hrs, 4 hrs to 12 hrs, 8 hrs to 1 day, or 8 hrs to 2 days.
(84) A negative binomial mixed effects regression model was used to determine an estimate of the predicted arrhythmia rate as a function of the interdialytic change in potassium and the volume of fluid removed during the dialysis session. The negative binomial mixed effects regression model was chosen for this statistical analysis for several reasons, including that (1) the dependent variable is a count variable; (2) the dependent variable is ill-dispersed; (3) the observation time for subjects varied, thus the model is adjusted to account for the varying length of observation time per subject; and (4) there is correlation among repeated measures per subject; i.e., each subject is represented by multiple sessions in the analysis, so a random subject intercept is included. One of ordinary skill in the art will understand that alternative models, including but not limited to Poisson and zero-inflated negative binomial mixed regression models, could be used in place of the negative binomial mixed effects regression model. SAS 9.3 was used to model the data using proc GLIMMIX via maximum likelihood with the default canonical log link function. Gauss-Hermite Quadrature was used for likelihood estimation because the model does not have a closed form solution.
(85) Table 1 illustrates the observed results for intradialytic changes in potassium from the study. In Table 1, N refers to the number of observations, the Mean refers to the mean values observed during the study. Min refers to the minimum value observed in the study for each entry, Max refers to the maximum value observed for each entry, and 25.sup.th Pctl and 75.sup.th Pctl refer to the values for each entry relating to the 25.sup.th and 75.sup.th percentiles for each entry, respectively.
(86) TABLE-US-00001 TABLE 1 25th 75th Variable N Mean Std Dev Median Min Pctl Pctl Max Pre-dialysis 1376 4.901454 0.780386 4.8 2.8 4.3 5.4 8.7 Potassium Post-dialysis 1352 3.629586 0.613732 3.5 2.6 3.3 3.8 8.7 Potassium Intradialytic 1332 −1.26381 0.76329 −1.3 −4.5 −1.7 −0.8 3.2 Change in Potassium
(87) As shown in Table 1, 50% of the observations shows a pre-dialysis potassium level of between 4.3 and 5.4 mEq/L, a post-dialysis potassium level of between 3.3 and 3.8 mEq/L, and an intradialytic change in potassium of between −1.7 and −0.8 mEq/L. The values falling between the 25.sup.th and 75.sup.th percentiles were used in the modeling.
(88) Table 2 shows the observed results for the amount of fluid removed from the patients during each session of the study.
(89) TABLE-US-00002 TABLE 2 25th 75th Variable N Mean Std Dev Median Min Pctl Pctl Max Volume 1592 3.367023 1.347978 3.3 −0.9 2.5 4.2 7.7 Removed (L)
(90) As illustrated in Table 2, 50% of the observations showed between 2.5 and 4.2 L of fluid removed from the patient during each dialysis session. The values falling between the 25.sup.th and 75.sup.th percentiles were used in the modeling.
(91)
(92) The solutions obtained from the modeling are shown in Table 3.
(93) TABLE-US-00003 TABLE 3 Solutions for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| Intercept −4.4918 0.3254 65 −13.80 <.0001 Change_Potassium −0.3252 0.1365 1253 −2.38 0.0174 VolumeRemoved −0.2050 0.2069 1253 −0.99 0.3218 Change_Po * −0.2636 0.1174 1253 −2.24 0.0250 VolumeRemo
(94) As shown in Table 3, the interaction between change in potassium level and the volume removed is statistically significant, with a P value equal to 0.0250. Using the solutions shown in Table 3, an estimate for the frequency of cardiac arrhythmia based on changes in potassium level and amount of fluid removed during dialysis can be created, as shown in Table 4.
(95) TABLE-US-00004 TABLE 4 Standard Error Lower Upper Label Estimate Lower Upper Mean Mean Mean Mean Change_Potassium = −2 −4.1635 −4.8673 −3.4598 0.01555 0.005579 0.007694 0.03144 VolumeRemoved = −2.3 Change_Potassium = −2 −3.8414 −4.4195 −3.2632 0.02146 0.006326 0.01204 0.03827 VolumeRemoved = 3.3 Change_Potassium = −2 −3.5192 −4.1693 −2.8691 0.02962 0.009816 0.01546 0.05675 VolumeRemoved = 4.3 Change_Potassium = −1 −4.2252 −4.8854 −3.5649 0.01462 0.004921 0.007556 0.02830 VolumeRemoved = 2.3 Change_Potassium = −1 −4.1666 −4.7136 −3.6196 0.01550 0.004323 0.008973 0.02679 VolumeRemoved = 3.3 Change_Potassium = −1 −4.1080 −4.6960 −3.5201 0.01644 0.004927 0.009132 0.02960 VolumeRemoved = 4.3 Change_Potassium = 0 −4.2868 −5.0512 −3.5223 0.01375 0.005357 0.006401 0.02953 VolumeRemoved = 2.3 Change_Potassium = 0 −4.4918 −5.1303 −3.8534 0.01120 0.003645 0.005915 0.02121 VolumeRemoved = 3.3 Change_Potassium = 0 −4.6969 −5.4453 −3.9484 0.009124 0.003481 0.004316 0.01929 VolumeRemoved = 4.3
(96) For simplicity, the volume removed in each entry of Table 4 is shown in liters, and the change in potassium is shown in mEq/L. The mean values presented in Table 4 are the antilog of the estimates from the modeling, and represent an estimated rate of arrhythmias per hour. Using the data presented in Tables 1-4, one of ordinary skill in the art can create an algorithm that relates the changes in potassium levels and the amount of fluid volume removed to the frequency of arrhythmia. In any embodiment of the first, second or third aspects of the invention, the system can use this algorithm to calculate the risk scores for arrhythmia. In any embodiment of the first, second, or third aspects of the invention, the algorithm can calculate the risk score as a linear or non-linear function of the changes in fluid volume and potassium concentration in the patient.
(97)
(98) In any embodiment of the first, second, or third aspects of the invention, the dialysis prescription can be set according to the model described, or any other statistical model capable of estimating arrhythmias based on intradialytic changes in potassium and the amount of fluid removed. As illustrated in
(99) In any embodiment of the first, second, or third aspects of the invention, the risk score for arrhythmia of each patient can be calculated prior to a dialysis session using the statistical model as described herein. In any embodiment of the first, second, or third aspects of the invention, the risk score for arrhythmia can instead be determined using a lookup table. A lookup table can be created that includes the data used in the statistical model, correlating the frequency of arrhythmia with intradialytic changes in potassium and the amount of fluid removed. The system can utilize the lookup table, starting with a desired potassium concentration change and a desired fluid removal amount, and determine the frequency of arrhythmia due to these changes. If the lookup table provides a high frequency of arrhythmia for a given set of parameters, the system can adjust either or both of the desired potassium concentration change and the desired fluid volume change until the data in the lookup table provides a frequency of arrhythmia below some predetermined value.
(100) One of skill in the art will understand that other variables beyond changes in potassium and the fluid volume removed from a patient may influence the rate or risk factor for arrhythmia. For example, certain patients may be more susceptible to arrhythmia than other patients. In any embodiment of the first, second, or third aspects of the invention, the calculation of the risk score can take into account one or more other factors beyond changes in potassium and fluid volume. However, in any embodiment of the first, second, or third aspects of the invention, the calculation of the risk score can be at least based in part on changes in potassium levels and/or fluid volume removed.
(101) One skilled in the art will understand that various combinations and/or modifications and variations can be made in the described systems and methods depending upon the specific needs for operation. Moreover features illustrated or described as being part of an aspect of the invention may be used in the aspect of the invention, either alone or in combination, or follow a preferred arrangement of one or more of the described elements