Methods for controlling a left ventricular assist device
11517740 · 2022-12-06
Assignee
Inventors
- Rahul Agarwal (Los Angeles, CA, US)
- Allison Connolly (Fremont, CA, US)
- Yelena Nabutovsky (Mountain View, CA)
- Julie Prillinger (Redwood City, CA, US)
Cpc classification
A61M60/237
HUMAN NECESSITIES
A61M60/531
HUMAN NECESSITIES
A61M2205/0244
HUMAN NECESSITIES
A61B5/7455
HUMAN NECESSITIES
A61M60/178
HUMAN NECESSITIES
A61M60/221
HUMAN NECESSITIES
International classification
A61B5/00
HUMAN NECESSITIES
A61M60/148
HUMAN NECESSITIES
Abstract
The present invention is generally related to methods and systems for preventing onset or worsening of RHF in patients with implanted ventricular assist devices. More particularly, the present invention relates to identifying patients at risk for RHF following implantation of a ventricular assist device based on pulmonary artery pressure measurement and/or trends and adjusting a pump operating parameter to prevent or reduce the onset or worsening of RHF in such patients, improve patient outcomes, or reduce mortality risks associated with VAD implantation. In particular, a pump operating parameter may be adjusted to reduce or minimize particularly high pressure loads on a patient's heart or amount of time the patient is exposed to such high pressure loads following implantation.
Claims
1. A method of controlling operation of a left ventricular assist device (LVAD) to reduce risk of right heart failure (RHF) in a patient following implantation of the LVAD, the method comprising: controlling operation of the LVAD that is implanted in the patient to pump blood from the patient's left ventricle to the patient's aorta; generating pulmonary artery (PA) pressure trending data for the patient via measuring pulmonary artery (PA) pressures of the patient including during the operation of the LVAD, wherein the PA pressure trending data for the patient is indicative of a variation of right ventricular afterload of the patient over a time span; determining a regression model for the PA pressure trending data for the patient; using the regression model to compute an estimated parameter value; determining a deviation between the estimated parameter value and an ideal parameter value for the patient, wherein the ideal parameter for the patient is indicative of an ideal right ventricular afterload for the patient; and controlling operation of the LVAD to adjust at least one operating parameter of the LVAD based on the deviation between the estimated parameter value and the ideal parameter value so as to reduce a deviation between the right ventricular afterload of the patient and the ideal right ventricular afterload for the patient.
2. The method of claim 1, further comprising determining a goodness of fit of the regression model of the PA pressure trending data for the patient prior to determining the deviation between the estimated parameter value and the ideal parameter value.
3. The method of claim 2, further comprising measuring additional PA pressures of the patient including during the operation of the LVAD in response to the goodness of fit being inadequate relative to an acceptable goodness of fit, and wherein the regression model is determined so as to account for the additional PA pressures of the patient.
4. The method of claim 1, wherein the PA pressures of the patient are measured only during a transient period of time following implantation of the LVAD.
5. The method of claim 4, wherein the transient period of time lasts for less than about 20 days following implantation of the LVAD prior to transitioning to a stable or steady state period.
6. The method of claim 1, wherein determining the deviation between the estimated parameter value and the ideal parameter value comprises computing a deviation between an estimated steady state PA pressure of the patient and an ideal steady state PA pressure for the patient, wherein the estimate steady state PA pressure of the patient is indicative of an estimated right ventricular afterload of the patient, and wherein the ideal stead state PA pressure for the patient is indicative of the ideal right ventricular afterload for the patient.
7. The method of claim 6, wherein the controlling operation of the LVAD to adjust at least one operating parameter of the LVAD comprises increasing a flow rate of the LVAD in response to the estimated steady state PA pressure of the patient being greater than the ideal steady state PA pressure for the patient by at least an upper threshold pressure deviation value.
8. The method of claim 6, wherein the controlling operation of the LVAD to adjust at least one operating parameter of the LVAD comprises decreasing a flow rate of the LVAD in response to the estimated steady state PA pressure of the patient being less than the ideal steady state PA pressure for the patient by at least a lower threshold pressure deviation value.
9. The method of claim 1, wherein the controlling operation of the LVAD to adjust at least one operating parameter of the LVAD comprises adjusting at least one of a flow rate of the LVAD, a pump speed of the LVAD, or a pumping operation mode of the LVAD.
10. The method of claim 9, wherein the controlling operation of the LVAD to adjust at least one operating parameter of the LVAD comprises adjusting the pumping operation mode of the LVAD.
11. The method of claim 1, wherein the regression model is defined by: p(t)=p.sub.∞+e.sup.−αt(p.sub.0−p.sub.∞), wherein: p(t) are the measured PA pressures of the patient over the time span; p.sub.0 is estimated baseline PA pressure of the patient prior to implantation of the LVAD in the patient; p.sub.∞ is estimated steady state PA pressure; and α is an estimated time constant.
12. The method of claim 1, wherein the measured PA pressures of the patient are wirelessly transmitted by pressure sensor implanted within the pulmonary artery or an interrogation unit associated with the pressure sensor.
13. The method of claim 1, further comprising determining a responsiveness of the patient to the LVAD based on the determined deviation prior to the controlling operation of the LVAD to adjust the at least one operating parameter of the LVAD.
14. The method of claim 1, wherein each of the estimated parameter value and the ideal parameter value comprise a respective time parameter value.
15. The method of claim 1, wherein at least one of an external heart blood pump controller, an implantable heart blood pump controller, or an external computing device perform the method.
16. The method of claim 1, wherein the controlling of the LVAD to adjust the at least one operating parameter of the LVAD stabilizes PA pressures of the patient within a desired range for a stabilization period following a transient period.
17. The method of claim 1, further comprising outputting at least one of a visual, audio, or haptic alert prior to the controlling of the LVAD to adjust the at least one operation parameter of the LVAD.
18. The method of claim 1, wherein the PA pressure trending data for the patient comprises PA mean pressures for the patient.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
(2)
(3)
(4)
(5)
DETAILED DESCRIPTION
(6)
(7) The method 100a may further include determining (e.g., computing or calculating) deviation(s) (e.g., Δ.sub.p, Δ.sub.α) between at least one of the estimated parameters (e.g., p.sub.∞, 1/α) and at least one of ideal parameters (e.g., p.sub.∞,ideal, 1/α.sub.ideal) 106, 106f. The estimated parameters are computed from the regression model as applied to the received plurality of PA pressure measurements or PA pressure trending data. For example, (e.g., p.sub.∞, 1/α) are estimated from the regression model (e.g., by maximizing likelihood or minimizing L2 error). Values for the ideal parameters can be computed by fitting the regression model to the PA pressure trend data or measurements from a patient population (e.g., historical data from a patient population) that responded well following implant of an LVAD, as discussed in more detail below. In other embodiments, ideal parameters may be estimated directly from historical patient population data without fitting or applying a regression model (e.g., from mean stabilization period pressure data) to the historical patient population data. The ideal parameters or threshold values as described herein may be stored in, for example, a database, computer memory, or look up table that may be accessible by a clinician, patient, processor, controller, or other computing device.
(8) In some embodiments, the method 100a includes adjusting at least one operating parameter of a blood pump based on the determined deviation 108a. Adjusting at least one operating parameter of the blood pump may include adjusting one or more of: a pumping speed, flow rate (e.g., increasing or decreasing flow rate), or a pumping operation mode (e.g., pulsatile or continuous mode) based on the calculated or computed deviations to optimize LVAD therapy 110, 110f (e.g., prevent onset or worsening of RHF). In some embodiments, adjusting one pumping parameter may adjust another parameter. For example, adjusting flow rate may adjust pumping speed and vice versa. Examples of pump operating parameters and adjustment that can be included in the present application are described in U.S. Pat. No. 8,506,471, the contents of which is incorporated herein by reference in its entirety. For example, method 100a may include a step of determining if the deviation exceeds a threshold value as described below, and increasing the flow rate if the deviation exceeds the threshold value 110. The method 100a may include a step of determining if the deviation is less than the threshold value as described below, and decreasing the flow rate if the deviation is less than the threshold 111. Further, in some embodiments, a method may include determining if a deviation falls within certain thresholds and not adjusting an operating parameter of the pump if the deviation falls within the thresholds, if for example, the patient is identified as being responsive to LVAD therapy or not at risk for RHF (see
(9) In some embodiments, as illustrated in
(10) As illustrated in
(11) With reference to
(12) With reference to
(13) With reference to
(14)
(15) Patients may show different transient period durations and different PA pressures in the stable period following LVAD implant. Differences in transient period duration or PA pressures in the stable period may be correlated to LVAD flow rates, and may also be used as a surrogate or proxy for a patient's right heart status or responsiveness to LVAD therapy. For example, LVAD patients for whom PA pressures stabilized within a pre-determined target zone (e.g., about 15 to about 35 mmHG) or within a designated time zone (e.g., less than about 15 to 20 days) may have a reduced risk of RHF and associated mortality compared to those patients for whom the PA pressures have not stabilized within the designated time period or have stabilized outside of the predetermined target zone.
(16) The transient and stable periods for each patient following LVAD implant may be identified as disclosed herein. Further, based on PA pressure measurements (e.g., received from a PA sensor during the transient period, stable period, or both), a clinician may be notified of or alerted to a patient's status as to whether the patient has stabilized or appears to be stabilizing into a high, medium, or low PA pressure range. For example, patients who stabilize or appear to be stabilizing into particularly high stabilization PA pressures (e.g., greater than about 35 mmHG) may indicate high afterload on a right ventricle of the patient, which may accelerate RHF in the patient. Adjusting a pump operating parameter or LVAD therapy (e.g., by increasing LVAD flow rate) may relieve the increased afterload on the patient's right ventricle and prevent onset or worsening of RHF as discussed below. Conversely, low stabilization PA pressures (e.g., less than about 15 mmHG) may indicate an inability of the right ventricle to respond to increased flow due to the implanted LVAD. Decreasing flow rate in this context may be helpful to prevent onset or worsening of RHF. As such, patients at risk for onset or worsening of RHF may be identified, clinicians informed or alerted, and pump operating parameters or LVAD therapy adjusted accordingly to optimize treatment and improve patient outcomes, as discussed in more detail below. In some embodiments, non-responsive patients may also be identified (e.g., if time to stabilization is either too short or too long relative to an ideal time constant or period). Further, in some embodiments, patients responsive to LVAD therapy or not at risk of RHF may be identified, where no adjustment of pump operating parameters or LVAD therapy is necessitated. In such embodiments, the patient may continue to be monitored to see if adjustment of pump operating parameters or LVAD therapy is necessitated at a later time.
(17) With reference to
(18) As discussed above, based on a comparison (e.g., determined deviations Δ.sub.p, Δ.sub.α) between the estimated parameters of a patient's PA pressure curve and an ideal PA pressure curve, the clinician may balance or be notified to balance the patient's preload and afterload (e.g., by adjusting pumping operation parameter of the LVAD or medications administered to the patient) to prevent onset or worsening of RHF in the patient. For example, the clinician may adjust (e.g., increase or decrease) flow rate of the LVAD to keep or maintain estimated parameters p.sub.∞, 1/α of a patient within a desirable range of ideal parameters p.sub.∞,ideal, 1/α.sub.ideal, (e.g., as discussed in more detail below with reference to
(19) As illustrated in and observed pressure values p.sub.i may be computed for n available pressure readings using:
(20)
to obtain goodness of fit. For example, if MSE is greater than 25 (e.g., an acceptable threshold), the goodness of fit is greater than an acceptable threshold. If MSE is less than 25, the goodness of fit is acceptable or less than an acceptable threshold. While MSE may be used to obtain goodness of fit, other ways may also be used to evaluate goodness of fit or likelihood which may have their own different threshold values (e.g., Akaike information criterion, Bayesian information criterion). In some embodiments, MSE may be applied to an unseen validation error.
(21) Deviations Δ.sub.p=p.sub.∞−p.sub.∞,ideal, Δ.sub.α=1/α−1/α.sub.ideal are then determined by comparing the estimated parameters of the respective curves with the ideal curve (e.g., between PIdeal and P1 or PIdeal and P2). Deviation threshold values (e.g., ±th.sub.p0, ±th.sub.p1, ±th.sub.p2, ±th.sub.α0, ±th.sub.α1, ±th.sub.α2) between the estimated parameters of a patient's PA pressure curve and an ideal PA pressure curve may be used to determine whether a pump operating parameter (e.g., LVAD flow rate) is increased or decreased and subsequently, relative rates of increase or decrease, as discussed below. The deviation threshold values may also be determined or set by historical data of known flow rates and responses of patients following LVAD implant. For example, in some embodiments as discussed above, an ideal stable period or steady state pressure p.sub.∞,ideal may be determined to be between about 15-35 mmHG. Therefore, if the ideal steady state pressure p.sub.∞,ideal is set to about 25 mmHG (e.g., corresponding to “0” on the Y-axis), threshold values ±th.sub.p0 may then be set to, for example, about 10 mmHG (e.g., such that +th.sub.p0 is about 35 mm HG and −th.sub.p0 is about 15 mm HG, respectively). Threshold values ±th.sub.p1 may then be set nominally to another about 5 mmHG, about 10 mmHG, or another suitable value from ±th.sub.p0. Similarly, threshold values ±th.sub.p2 may also be set nominally to another about 5 mmHG, about 10 mmHG, or another suitable value from ±th.sub.p1. Threshold values, ±th.sub.α0, ±th.sub.α1, ±th.sub.α2 may be determined or established in a similar manner. For example, ideal time constant or time when the transient period transitions to the stable period (e.g., as discussed above), 1/α.sub.ideal, may be set based on historical data (e.g., to about 15 days corresponding to “0” on the X-axis). The threshold values ±th.sub.α0, ±th.sub.α1, ±th.sub.α2 may then be set based off 1/α.sub.ideal.
(22) In the illustrated embodiment of
(23) In other embodiments, deviation Δ.sub.p is within certain thresholds that may require increasing LVAD flow rate or other pump operating parameter. The relative amount (e.g., level) of increase in flow rate may depend on or be governed by one or both values of deviations Δ.sub.p, Δ.sub.α. For example, as illustrated in
(24) In other embodiments, deviation Δ.sub.p is within certain threshold values that may require decreasing LVAD flow rate or other pump operating parameter. The relative amount of decrease in flow rate may depend on or be governed by one or both values of deviations Δ.sub.p, Δ.sub.α. For example, as illustrated in
(25)
(26) Controller 503 may be an external controller (e.g., coupled to the blood pump 502 by a percutaneous cable 506, wirelessly, or the like) or an implantable, on-board controller of blood pump 502. In some embodiments, controller 503 may be a separate external or implantable computing device (e.g., mobile tablet, laptop, mobile phone, desktop). In some embodiments, controller 503 include two or more control units (e.g., external, implanted, or both). In some embodiments, the pump 502 may include an inflow 508 coupled to a chamber of the heart (illustrated as the left ventricle, but other chambers may be cannulated by inflow 508) and an outflow 510. The blood pump system 500 further includes one or more implantable cardiac electronic devices (e.g., pressure sensors 512) configured to be implanted within the PA of the patient to collect, receive, or transmit PA pressure measurements (e.g., readings, signals). The PA pressure sensor may be automatically (e.g., programmed) or manually interrogated to collect PA pressure measurements or PA trending data. The PA pressure sensor may transmit (e.g., wired or wirelessly) the PA pressure data to an interrogation unit, the controller, or other computing device as discussed in more detail below.
(27) Many traditional sensors can be used, including MEMS, strain gauges, piezo-based sensors, capacitive sensors, transonic, ultrasound Doppler, or the like. U.S. Pat. No. 6,855,115, U.S. Provisional Patent Application 62/194,700, and U.S. Provisional Patent Application 62/194,608 describe pressure sensor configurations, interrogation units, and pressure sensing methods that may be utilized in any of the embodiments of the present disclosure. The contents of each provisional patent application and patent are incorporated herein in their entireties for all purposes.
(28) The system 500 may include an external interrogation circuit or unit 520 configured to interrogate pressure sensor 512 for PA pressure measurements. The pressure sensor 512 may be operably coupled (wired or wirelessly) with interrogation unit 520. In some embodiments, the interrogation unit 520 is a hand-held unit. The interrogation unit 520 may include a transceiver 522, an antenna 524, and a microprocessor 526 for generating, receiving, and analyzing signals (e.g., PA pressure measurements) from sensor 512 as discussed in more detail below. The antenna 524 may be integrated within a housing of the interrogation unit 520 or may be detachable such that it may be positioned on a patient's body in proximity to sensor 512. The interrogation unit 520 may include a power supply 528 configured to provide power to the unit 520 or may be operably coupled to the power supply 505 of the pump 502 or controller 503. In some embodiments, the interrogation unit 520 is integrated with the controller 503. In some embodiments, the interrogation unit 520 is electronically coupled to the controller 503 wirelessly or by wires.
(29) In use, the antenna 524 of the interrogation unit 520 may be used to interrogate sensor 512 (e.g., generate and receive signals from the sensor 512). In such embodiments, the sensor 512 may be a passive sensor without a battery or other power source. In other embodiments, the sensor 512 includes a battery or other power source and actively sends PA signals to the interrogation unit 520. In some embodiments, the interrogation unit 520 is programmed to interrogate sensor 512 at pre-set intervals during a transient period following LVAD implant (e.g., multiple times a day for about 15-20 days) to collect or receive desired PA pressure measurements according to method 100. In other embodiments, a patient or clinician may manually operate the interrogation unit 512 to collect or receive such PA pressure measurements according to a pre-determined schedule from the pressure sensor 512.
(30) In some embodiments, the interrogation unit 520 may be programmed to analyze or process the collected PA pressure measurements (e.g., fit a regression model, determine goodness of fit, estimate a PA pressure curve and associated parameters, calculate deviations, compare deviations with thresholds). The interrogation unit 520 may send the measurements to the controller 503 to perform the data analysis. In other embodiments, a clinician or patient may perform (e.g., manually) one or more of any of the method steps as discussed above (e.g., fitting a regression model, determining goodness of fit, estimating a PA pressure curve and associated parameters, calculating deviations, comparing deviations with thresholds). As discussed above, PA pressure measurements or data may serve as a proxy for the patient's right heart status. The interrogation unit 520, separate or integrated controller (e.g., controller 503), patient, or clinician may then adjust flow rate or other pump parameter of the blood pump 502 in response to the PA pressure measurements and analysis. For example, based on deviations Δ.sub.p, Δ.sub.α between the estimated parameters p.sub.∞, α from a PA measurement curve of a patient and estimated parameters p.sub.∞,ideal, α.sub.ideal, from an ideal PA measurement curve derived from historical data of previous patients, a flow rate or other operating parameter of the blood pump 502 may be adjusted (e.g., increased or decreased) to prevent RHF as discussed above.
(31) In some embodiments, the interrogation unit 520 includes a display 530 configured to display one or more of the PA pressure measurements, PA pressure curves, goodness of fit, estimated parameters, calculated deviations, or amount of required flow rate adjustment. In some embodiments, the interrogation unit 520 may also be configured to identify or alert a clinician or patient that a patient is at risk of RHF or to inform or recommend that the LVAD flow rate should be adjusted (e.g., via the display, or with a visual, haptic, or audible signal). In other embodiments, data or signals (e.g., PA pressure measurements or other info) from the interrogation unit 520 may be transferred or uploaded to a separate computing device (e.g., desktop, laptop, micro-PC, mobile phone, mobile tablet, controller 203) for further review, analysis, or processing (e.g., fit a regression model, determine goodness of fit, estimate a PA pressure curve and associated parameters, calculate deviations, compare deviations with thresholds). Data, alerts, or recommendations may also be displayed on a separate display or monitor (e.g., of the separate computing device) for viewing or analysis by a patient or clinician. The clinician, patient, interrogation unit, or separate computing device may access historical data of ideal parameters or thresholds from a database or lookup table for review, analysis, or processing. In some embodiments, the interrogation unit, or separate computing device may include memory for storing such information.
(32) In certain embodiments, the interrogation unit 520 or pressure sensor 512 may be integrated or operably coupled to the pump 502 or external controller 503. As discussed above, for example, the interrogation unit 520 may be powered by the power supply 505 of the pump 502 and controller 503. In some embodiments, data, alerts, or recommendations may be transmitted to and displayed on a display of the controller 503 directly from the interrogation unit 520 or indirectly from an intermediate device (e.g., second controller or other computing device). In some embodiments, the interrogation unit 520 is housed in a same housing as the external controller 503.
(33) In some embodiments, the interrogation unit 520 or pressure sensor 512 may be integrated or operably coupled with the pump 502 or external controller 503 such that a closed-loop system is provided. For example, the blood pump system 500 may be programmed or set to adjust flow rate of the LVAD as necessary to prevent onset or worsening of RHF following implant. The interrogation unit 520 may interrogate the sensor 512 to generate and receive PA pressure measurements according to a pre-determined or pre-programmed schedule. The interrogation unit 520 may then process or analyze the PA pressure measurements as described herein and instruct the controller 503 to adjust the flow rate or other operating parameter of the pump 502 based on the PA pressure measurements and analysis as discussed above. The process may then be repeated until further LVAD flow rate is not required or a patient is not at risk of RHF. In other embodiments, the PA pressure measurements may be sent or uploaded to the controller 503 or other separate computing device for processing.
(34) In some embodiments, the controller 503 may be configured to carry out any of the steps as described above with respect to methods described herein. For example, the controller 503 may be configured to receive a plurality of pulmonary artery (PA) pressure measurements or PA trending data from an implantable cardiac electronic device; fit a regression model to the plurality of PA pressure measurements or PA trending data; determine a deviation between at least one estimated parameter and at least one ideal parameter, wherein the at least one estimated parameter is computed from the regression model; or adjust at least one operating parameter of the blood pump based on the determined deviation. The controller 503 may be integrated with the interrogation unit as discussed above. In other embodiments, the controller 503 may include a processor, memory, transceiver, antenna, for carrying out steps of the methods as described herein. As discussed above, a closed-loop system may be provided such that the controller 503 is operably coupled to the pump, pressure sensor, or interrogation unit.
(35) Although the invention is described in terms of a LVAD, one will appreciate that the invention may be applied equally to other implantable blood pump systems or coupled to other portions of the heart. While blood pump 502 is generally illustrated as a centrifugal blood pump, it should be understood that blood pump may have other configurations (e.g., axial flow or mixed flow blood pumps).
(36) Further, the invention is described in terms of comparing the estimated parameters of a patient's PA pressure curve and an ideal PA pressure curve derived from PA pressure measurements during the transient period to determine whether to adjust LVAD flow rate. However, one will appreciate that in other embodiments, comparing measured PA pressures during the stable period of a patient with stable period pressure of an ideal patient population may also be used to determine whether to adjust LVAD flow rate.
(37) One or more computing devices may be adapted to provide desired functionality by accessing software instructions rendered in a computer-readable form. When software is used, any suitable programming, scripting, or other type of language or combinations of languages may be used to implement the teachings contained herein. However, software need not be used exclusively, or at all. For example, some embodiments of the methods and systems set forth herein may also be implemented by hard-wired logic or other circuitry, including but not limited to application-specific circuits. Combinations of computer-executed software and hard-wired logic or other circuitry may be suitable as well.
(38) Embodiments of the methods disclosed herein may be executed by one or more suitable computing devices. Such system(s) may comprise one or more computing devices adapted to perform one or more embodiments of the methods disclosed herein. As noted above, such devices may access one or more computer-readable media that embody computer-readable instructions which, when executed by at least one computer, cause the at least one computer to implement one or more embodiments of the methods of the present subject matter. Additionally or alternatively, the computing device(s) may comprise circuitry that renders the device(s) operative to implement one or more of the methods of the present subject matter.
(39) Any suitable computer-readable medium or media may be used to implement or practice the presently-disclosed subject matter, including but not limited to, diskettes, drives, and other magnetic-based storage media, optical storage media, including disks (e.g., CD-ROMS, DVD-ROMS, variants thereof, etc.), flash, RAM, ROM, and other memory devices, and the like.
(40) In the description above, various embodiments of the present invention are described. For purposes of explanation, specific configurations and details are set forth in order to provide a thorough understanding of the embodiments. However, it will also be apparent to one skilled in the art that the present invention may be practiced without the specific details. Furthermore, well-known features may be omitted or simplified in order not to obscure the embodiment being described. The subject matter of the present invention is described here with specificity, but the claimed subject matter may be embodied in other ways, may include different elements or steps, and may be used in conjunction with other existing or future technologies.
(41) This description should not be interpreted as implying any particular order or arrangement among or between various steps or elements except when the order of individual steps or arrangement of elements is explicitly described. Different arrangements of the components depicted in the drawings or described above, as well as components and steps not shown or described are possible. Similarly, some features and sub-combinations are useful and may be employed without reference to other features and sub-combinations. Embodiments of the invention have been described for illustrative and not restrictive purposes, and alternative embodiments will become apparent to readers of this patent. Accordingly, the present invention is not limited to the embodiments described above or depicted in the drawings, and various embodiments and modifications may be made without departing from the scope of the claims below.
(42) Other variations are within the spirit of the present invention. Thus, while the invention is susceptible to various modifications and alternative constructions, certain illustrated embodiments thereof are shown in the drawings and have been described above in detail. It should be understood, however, that there is no intention to limit the invention to the specific form or forms disclosed, but on the contrary, the intention is to cover all modifications, alternative constructions, and equivalents falling within the spirit and scope of the invention, as defined in the appended claims.
(43) The use of the terms “a” and “an” and “the” 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 term “or” in reference to a list of two or more items, covers all of the following interpretations of the word: any of the items in the list, all of the items in the list, and any combination of items in the list. 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. The term “connected” is to be construed as partly or wholly contained within, attached to, or joined together, even if there is something intervening. 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 embodiments of 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.
(44) 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.
(45) 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.