SYSTEM AND METHOD FOR ACCURATE ESTIMATION OF INTENTIONAL AND UNINTENTIONAL LEAKS IN FLOW GENERATION SYSTEMS
20170312463 · 2017-11-02
Inventors
Cpc classification
A61M16/1005
HUMAN NECESSITIES
G01M3/28
PHYSICS
A61M16/026
HUMAN NECESSITIES
A61M16/1045
HUMAN NECESSITIES
A61M16/208
HUMAN NECESSITIES
A61M16/0069
HUMAN NECESSITIES
G01M3/26
PHYSICS
International classification
A61M16/00
HUMAN NECESSITIES
A61M16/20
HUMAN NECESSITIES
Abstract
In one embodiment, a method for accurate leak estimation in a flow generation system includes measuring a total flow through the flow generation system, measuring a pressure in in the primary flow circuit of the flow generation system, determining when the measured pressure is within a predetermined threshold of EPAP, and calculating an intentional leak flowrate and an unintentional leak flowrate based on the relationship Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t) when the measured pressure is within the predetermined threshold. In another embodiment, a flow generation system includes in one embodiment an airflow generator connected in-line to a flow sensor, a pressure sensor and a patient interface connection by a first gas flow circuit, and a controller electrically coupled to the airflow generator, the flow sensor and the pressure sensor. The controller sends a control signal to the airflow generator based on a first flow value measured from the flow sensor and an unintentional leak flow value that is derived from a proportional relationship with an intentional leak flow value.
Claims
1. A method for accurate leak estimation in a flow generation system comprising: measuring a total flow through the flow generation system; measuring a pressure in the primary flow circuit of the flow generation system; determining when the measured pressure is within a predetermined threshold of EPAP; and calculating an intentional leak flowrate and an unintentional leak flowrate based on the relationship Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t) when the measured pressure is within the predetermined threshold.
2. The method of claim 1, wherein the total flow includes a first flow source comprising ambient air and a second flow source comprising pressurized oxygen.
3. The method of claim 1, the total flow includes a third flow source.
4. The method of claim 1, wherein the primary flow circuit comprises a flow sensor for measuring the total flow, an airflow generator and a patient interface connection.
5. The method of claim 1, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.5 cmH.sub.2O from EPAP.
6. The method of claim 1, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.2 cmH.sub.2O from EPAP.
7. The method of claim 1, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.1 cmH.sub.2O from EPAP.
8. The method of claim 1, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 1 cmH.sub.2O from EPAP.
9. The method of claim 1 further comprising: determining the intentional leak flow rate at least partially based on a selected patient interface orifice size.
10. The method of claim 1 further comprising: determining a flowrate of the lungs Q.sub.L(t) by satisfying the equations:
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t)
when P.sub.PS(t)≅EPAP,
Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t)
Q.sub.UL(p,t)=∞.Math.Q.sub.IL(p,t)
11. The method of claim 1 further comprising: determining a flowrate of the lungs Q.sub.L(t) by satisfying the equations:
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t)
when P.sub.PS(t)≅EPAP,
Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t)
12. The method of claim 1 further comprising: modeling an orifice equation for a total leaks using an empirical equation.
13. The method of claim 1, wherein the total flow includes a third flow source.
14. A flow generation system comprising: an airflow generator connected in-line to a flow sensor, a pressure sensor and a patient interface connection by a first gas flow circuit; and a controller electrically coupled to the airflow generator, the flow sensor and the pressure sensor; wherein the airflow generator is configured to change speed based on a control signal received from the controller, the control signal based on a first flow value measured from the flow sensor and an unintentional leak flow value that is derived from a proportional relationship with a predetermined intentional leak flow value.
15. The flow generation system of claim 14, wherein the intentional leak flow value is determined at least partially by a selected patient interface orifice size.
16. The flow generation system of claim 14, wherein the control signal is at least partially driven by a flowrate value of the lungs Q.sub.L(t) that is determined by satisfying the equations:
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t)
when P.sub.PS(t)≅EPAP,
Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t)
Q.sub.UL(p,t)=∞.Math.Q.sub.IL(p,t)
17. The flow generation system of claim 16, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.5 cmH.sub.2O from EPAP.
18. The flow generation system of claim 16, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.2 cmH.sub.2O from EPAP.
19. The flow generation system of claim 16, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.1 cmH.sub.2O from EPAP.
20. The flow generation system of claim 16, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 1 cmH.sub.2O from EPAP.
21. The flow generation system of claim 14, wherein the control signal is at least partially driven by a flowrate of the lungs Q.sub.L(t) that is determined by satisfying the equations:
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t)
when P.sub.PS(t)≅EPAP,
Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t)
22. The flow generation system of claim 21, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.5 cmH.sub.2O from EPAP.
23. The flow generation system of claim 21 wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.2 cmH.sub.2O from EPAP.
24. The flow generation system of claim 21, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.1 cmH.sub.2O from EPAP.
25. The flow generation system of claim 21, wherein P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 1 cmH.sub.2O from EPAP.
26. The flow generation system of claim 14, wherein an orifice equation for a total leaks value that is used to at least partially drive the control signal is modeled using an empirical equation.
27. The flow generation system of claim 14 further comprising: a humidifier connected to the first gas flow circuit upstream of the patient interface connection and downstream of both the flow sensor and pressure sensor.
28. The flow generation system of claim 14, wherein the airflow generator is an air pump.
29. The flow generation system of claim 14, wherein the flow generation system is a ventilator.
30. The flow generation system of claim 14 further comprising: a bacteria filter in-line with a second gas flow circuit, wherein the second gas flow circuit is connected to a first junction upstream of the patent interface connection and a second junction downstream of the flow sensor and pressure sensor.
31. The flow generation system of claim 14, wherein the second gas flow circuit includes a check valve upstream of the bacteria filter.
32. The flow generation system of claim 14, wherein the bacteria filter is part of a removable cartridge that comprises a portion of the first and second gas flow circuit.
33. The flow generation system of claim 14 further comprising: a heat moisture exchanger and bacteria filter in-line with the first gas flow circuit upstream of the patient interface connection and downstream of the flow sensor and pressure sensor.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0009] The foregoing purposes and features, as well as other purposes and features, will become apparent with reference to the description and accompanying figures below, which are included to provide an understanding of the invention and constitute a part of the specification, in which like numerals represent like elements, and in which:
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[0011]
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[0020]
DETAILED DESCRIPTION OF THE INVENTION
[0021] It is to be understood that the figures and descriptions of the present invention have been simplified to illustrate elements that are relevant for a more clear comprehension of the present invention, while eliminating, for the purpose of clarity, many other elements found in systems and methods for accurately estimating both intentional and unintentional leaks in flow generation systems. Those of ordinary skill in the art may recognize that other elements and/or steps are desirable and/or required in implementing the present invention. However, because such elements and steps are well known in the art, and because they do not facilitate a better understanding of the present invention, a discussion of such elements and steps is not provided herein. The disclosure herein is directed to all such variations and modifications to such elements and methods known to those skilled in the art.
[0022] Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Although any methods and materials similar or equivalent to those described herein can be used in the practice or testing of the present invention, the preferred methods and materials are described.
[0023] As used herein, each of the following terms has the meaning associated with it in this section.
[0024] The articles “a” and “an” are used herein to refer to one or to more than one (i.e., to at least one) of the grammatical object of the article. By way of example, “an element” means one element or more than one element.
[0025] “About” as used herein when referring to a measurable value such as an amount, a temporal duration, and the like, is meant to encompass variations of ±20%, ±10%, ±5%, ±1%, and ±0.1% from the specified value, as such variations are appropriate.
[0026] “P” as used herein means pressure.
[0027] “P.sub.PS” as used herein means pressure as measured by the Pressure Sensor.
[0028] “PEEP” as used herein means Positive End Expiratory Pressure.
[0029] “Q” as used herein means flowrate.
[0030] “Q.sub.FS” as used herein means flowrate as measured by the Flow Sensor.
[0031] “Q.sub.IL” as used herein means flowrate at the Intentional Leak site.
[0032] “Q.sub.UL” as used herein means flowrate at the Unintentional Leak site.
[0033] “Q.sub.L” as used herein means flowrate at the Lungs.
[0034] “Q.sub.TL” as used herein means Total Leak flowrate (i.e. Q.sub.TL=Q.sub.IL+Q.sub.UL).
[0035] “EPAP” as used herein means Expiratory Positive Airway Pressure.
[0036] “∞” as used herein means coefficient.
[0037] Ranges: throughout this disclosure, various aspects of the invention can be presented in a range format. It should be understood that the description in range format is merely for convenience and brevity and should not be construed as an inflexible limitation on the scope of the invention. Where appropriate, the description of a range should be considered to have specifically disclosed all the possible subranges as well as individual numerical values within that range. For example, description of a range such as from 1 to 6 should be considered to have specifically disclosed subranges such as from 1 to 3, from 1 to 4, from 1 to 5, from 2 to 4, from 2 to 6, from 3 to 6 etc., as well as individual numbers within that range, for example, 1, 2, 2.7, 3, 4, 5, 5.3, and 6. This applies regardless of the breadth of the range.
[0038] Referring now in detail to the drawings, in which like reference numerals indicate like parts or elements throughout the several views, in various embodiments, presented herein are systems and methods for accurately estimating both intentional and unintentional leaks in flow generation systems.
[0039] Methods of leak estimation described herein include modeling leak in a function with some other aspect measurable in the system. The function or relationship is found at certain points when the leak flow can be safely assumed to be equal to the measured flow from the flow sensor. This can happen at several points from breath to breath. A primary difference between the methods described herein and conventional methods is that the methods described herein corrects the net patient flow throughout the breathing phase, i.e., during inspiration and exhalation. Thus, the device can accurately measure and compensate all leaks in real time, producing accurate patient and ventilator data such as tidal volume and minute volume. Additionally, patient/device synchrony is greatly enhanced due to the accurate real time leak compensation again throughout the breathing phase. Device alarms become accurate and reliable such that false positive or false negative alarms can be greatly reduced. Additionally, tighter alarm settings become possible, improving patient safety.
[0040] Generally, embodiments of the invention include methods to find leak based on the general concept of total leak=intentional leak+unintentional leak, and the necessary condition Q.sub.FS=Q.sub.TL. Total flow from the flow generator equals the total leak (both intentional and unintentional leaks) downstream of the flow generator. The corresponding P.sub.PS (pressure measured in the device) can be determined. There are a couple of general methods in finding Q.sub.TL and P.sub.PS with respect to the ventilation devices—one during inspiration and the other during exhalation. Flow waveform is affected by intentional leak, unintentional leak, mandatory mode, spontaneous mode. The total leak with intentional leak will be higher than the case without intentional leak. Typically, it's not as easy or practical to find Q.sub.TL or P.sub.PS during inspiration as the case during exhalation. However, it is possible to get Q.sub.TL or P.sub.PS during inspiration (Examples are shown in
[0041] With reference now to
[0042] With reference now to
[0043] Embodiments of the invention utilize techniques including orifice modelling, pressure vs. flow characteristics, and real time application of P vs Q characteristic to measured pressure/flow in systems and methods for accurately estimating both intentional and unintentional leaks in flow generation systems. With reference now to
[0044] In one embodiment according to a first method:
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t) (1)
when P.sub.PS(t)≅EPAP, (2)
Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t) (3)
Q.sub.UL(p,t)=∞.Math.Q.sub.IL(p,t) (4)
where Q.sub.FS(t) is measured and Q.sub.IL(p,t) is calibrated. Q.sub.UL(p,t) can be derived from Q.sub.IL(p,t), consequently Q.sub.L(p,t) can be derived. Equation 4 assumes that Q.sub.UL has a proportional relationship with Q.sub.IL. ∞ is the coefficient that describes the proportionality. During no breathing (P.sub.PS(t)≅EPAP) equation 3 is true because Q.sub.L=0. In certain embodiments, P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.5 cmH.sub.2O from EPAP. In one embodiment, P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.2 cmH.sub.2O from EPAP. In one embodiment, P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 0.1 cmH.sub.2O from EPAP. In one embodiment, P.sub.PS(t)≅EPAP when P.sub.PS(t) is within 1 cmH.sub.2O from EPAP. ∞ can be found by substituting equation 4 into equation 3. Q.sub.IL is known to the device because it has been previously calibrated against the pressure of the system for known user interfaces, i.e., orifice size. The ∞ found during this phase of the breathing cycle is then used to calculate Q.sub.UL until the next breath and a new ∞ is found with when breath condition is met. Once Q.sub.UL has been estimated, Q.sub.L can be determined using equation 1. Since ∞ is reevaluated each breath, this will ensure leak compensation from breath to breath at each sampling cycle.
[0045] An exemplary Q.sub.IL graph is shown in
[0046] In one embodiment according to a second method:
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t) (1)
when P.sub.PS(t)≅EPAP, (2)
Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t) (4)
where Q.sub.FS(t) is measured & Q.sub.IL(p) is calibrated. Q.sub.UL(p) can be modeled from pre-calibrated family of Q vs. P chart. Consequently Q.sub.L(p,t) can be derived from equation 2. In one embodiment, Q.sub.UL(p) is derived from a pre-calibrated family of Q vs. P chart or a lookup table. P vs. Q relationship can be easily obtained via interpolation/extrapolation of the data (see for example
[0047] In one embodiment according to a third method:
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t) (1)
when P.sub.PS(t)≅EPAP, (2)
Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t) (4)
the orifice equation for total leaks, i.e., Q.sub.TL(p)=Q.sub.IL(p)+Q.sub.UL(p) can be modeled in one embodiment using (but not limited to) the following equations:
P.sub.PS(t)=7.57×10.sup.4Q.sub.TL(t).sup.1.85L/(D.sup.5P.sub.abs)(Empirical) (5)
or P.sub.PS(t)=8fρQ.sub.TL(t).sup.2L/(D.sup.5π.sup.2)(Darcy Weisbach) (6)
Now, Q.sub.TL(p) can be determined. The total leak opening can be characterized as an orifice. Using equations 5 and 6, the total leak orifice's diameter can be estimated during no breathing (P.sub.PS(t)≅EPAP). The diameter value calculated during this phase of the breathing cycle is captured and then applied back to the equation 5 and 6 to find the Q.sub.TL throughout the breath (including when P.sub.PS(t)≠EPAP). Q.sub.TL(t) can be an average value between the values calculated from the two equations, (5) and (6). During the next breath, when the condition is met, i.e., (2), the orifice diameter will be estimated again to ensure that any changes in the patient interface is accounted for.
[0048] In certain embodiments, the third method can run in the background all the time in conjunction with either the first or second method. The leak compensation can be verified from other methods, such as the first or second method. In certain embodiments, the third method can point out incorrect mask (user interface) selection if this option is available. If there is no Q.sub.UL, the total leak estimated from the third method can be compared to the known Q.sub.IL of the selected mask. From the comparison, the system can tell whether the correct mask was selected. In the embodiments, the third method by itself would be sufficient to yield Q.sub.L for various configurations.
[0049] In certain embodiments, the leak characteristics can be formulated as defined area size, the functional relationship between Q.sub.FS and P.sub.PS, a tabulated (e.g. lookup table) relationship between Q.sub.FS and P.sub.PS, or a curve fit relationship between Q.sub.FS and P.sub.PS. Defined area size can be possibly in the orifice, or any other shape. The total leak can be formulated more commonly as an orifice. However, the total leak can take the form of other configurations such as square, octagon, etc. Regarding the functional relationship between Q.sub.FS and P.sub.PS, the total leak also can be represented as mapping between Q.sub.FS and P.sub.PS. This can include non-linear relationships including fuzzy-logic type expert system. This relies on known knowledge—either empirical or theoretical. A tabulated relationship i.e. lookup table or other forms of tabulated relationship can also be employed. Alternatively, combinations of lookup table and functional relationship or other methods can be beneficial as these can expedite the sampling process and yield the desirable result faster. A curve fit relationship between Q.sub.FS and P.sub.PS can be utilized as shown for example in
[0050] The methods described herein are compatible with various system configurations. For example, embodiments of systems may include a humidifier that is either an internal or external humidifier. In certain embodiments, systems have an internal exhalation valve. In certain embodiments, system have an external exhalation valve with an exhalation flow sensor. In certain embodiments, system have an external exhalation valve without an exhalation flow sensor but with known control mechanism. The patient interface in certain embodiments may be a nasal mask, full face mask, pillow mask, cannula, trach tube, endotracheal tube, etc. Thus, various patient interfaces with or without intentional leak can be utilized. Interfaces can include both vented and non-vented masks/patient interfaces, and both Single limb and dual limb systems. Single limb with and without intentional leak with various patient interface and with or without external exhalation valve, dual limb with and without intentional leak with various patient interface and with or without external exhalation valve. Interfaces may or may not have an internal exhalation valve. Embodiments of the leak detection algorithm apply to virtually all combinations of leaks, patient interface, components such as exhalation valve, etc.
[0051] As shown in the system pneumatic schematic circuit of
[0052] Junctions 126 and 128 may be open junctions that allow the free flow of gas throughout the connected gas lines at the junctions. In certain embodiments, one or both of the junctions 126, 128 are 3-way valves that can be controlled electronically via the controller 114, pneumatically piloted or actuated by a pressure gradient during inspiration and exhalation. In certain embodiments, if a 3-way valve is used at a junction 126, 128, the redundant first and/or second check valves 117, 143 can be removed. If the second junction 128 uses a three way valve, it can optionally be housed within the cartridge 140. The second check valve 143 can optionally be included within the cartridge 140. In one embodiment, a junction valve is located at the second junction 128. In certain embodiments, the junction valve is configured to limit or block gas access to a particular branch of the junction when gas transfer to that branch is not desired. For example, in one embodiment, a junction valve located at the second junction 128 has a first position during an inhalation phase, blocking the downstream gas flow to the bacteria filter 142, and a second position during an exhalation phase, blocking downstream gas flow to the humidifier 116. Similarly, and in addition, a junction valve can be located at junction 128 that has a first position during an inhalation phase, blocking upstream gas flow to the bacteria filter, and a second position during exhalation, blocking upstream access to the humidifier. In this case, the junction valve can be housed within the cartridge. The junction valve can be a flexible pressure actuated check valve, or an actuating valve that communicates with the controller 114 for receiving control signals to open or close corresponding with inhalation and exhaustion. In certain embodiments, the patient interface 118 includes a connection port 118′ and the flexible tubing, mask and/or mouthpiece that the patient breathes directly into. In certain embodiments, the patient interface includes masks (e.g. nasal, full, total, pillow, or combinations of these), a mouth piece, an endotracheal tube or a tracheostomy tube. The patient interface 118 may or may not have intentional leakage. The cartridge 140 is a removable cartridge that includes a bacteria filter 142 connected-in line to the second check valve 143. The cartridge 140 is constructed of materials such as medical grade plastics that are capable of withstanding high temperature sterilization, are autoclaveable, or are similar of withstanding some type of sterilization or autoclaving chamber. As shown in the circuit of
[0053] In one embodiment, the system 100 includes an exhalation valve 130 wired to the controller 114 and connected to the gas flow circuit 120 downstream of the airflow generator 112 and upstream of the humidifier 116. The exhalation valve 130 can in certain embodiments be one of a voice coil actuator, stepper motor valve, proportional solenoid valve or a pneumatically piloted balloon valve. The exhalation valve 130 receives a signal from the controller 114 to open or shut, and can also receive an instruction for partially opening. In certain embodiments, the exhalation valve 130 is located at the first junction 126, between the first junction 126 and the second check valve 143, or between the second check valve 143 and the bacterial filter 142. In certain embodiments, the first junction 126 is eliminated when the exhalation valve 130 is located along the exhalation circuit 123. A second exhalation valve or leak port for passive exhalation can be located at the first junction 126, between the first junction 126 and the second check valve 143, or between the second check valve 143 and the bacterial filter 142. Some or all of the bacterial filter 142, second check valve 143, exhalation valve 130 and an exhalation leak port can be implemented as a single component. One or more flow sensors 122 and pressure sensors 124 can be present within the gas flow circuit 120. In one embodiment, a flow sensor 122 is wired to the controller 114 and connected to the gas flow circuit 120 downstream of the pump 112 and upstream of the humidifier 116. A flow sensor can be placed along the exhalation circuit 123 for embodiments where the exhalation valve 130 is placed along the exhalation circuit (e.g. after the exhalation valve 130 when the exhalation valve 130 is between the second check valve 143 and the bacterial filter 142). In one embodiment, a pressure sensor 124 is wired to the controller 114 and connected to the gas flow circuit 120 downstream of the pump 112 and upstream of the humidifier 116. The flow and pressure sensors can receive measurements that indicate and measure events such as pump airflow, exhalation airflow, pump pressure, exhalation pressure, etc. The controller 114 can use these measurements to control airflow and exhalation levels accordingly, based on the desired treatment begin administered to the patient.
[0054] Alternate embodiments of system configurations are shown in
[0055] In the embodiment of
[0056] Advantageously, the leak compensation algorithm opens up many possibilities. It makes the HFT devices compatible with wide range of patient interfaces (nasal cannula, all mask types and any existing and future patient interfaces), it makes it possible to monitor vital patient and ventilator data, it enables implementing various delivery modes which are not possible with other existing devices, and it expands the ability to add alarms.
Experimental Examples
[0057] The invention is now described with reference to the following Examples. These Examples are provided for the purpose of illustration only and the invention should in no way be construed as being limited to these Examples, but rather should be construed to encompass any and all variations which become evident as a result of the teaching provided herein.
[0058] Without further description, it is believed that one of ordinary skill in the art can, using the preceding description and the following illustrative examples, make and utilize the present invention and practice the claimed methods. The following working examples therefore, specifically point out the preferred embodiments of the present invention, and are not to be construed as limiting in any way the remainder of the disclosure.
[0059] With reference now to
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t)
when P.sub.PS(t)≅EPAP,Q.sub.UL(p,t)=α.Math.Q.sub.IL(p,t)
e.g., at t=t.sub.1 for P.sub.PS(t.sub.1)=10 cmH.sub.2O near the end of exhalation
where Q.sub.FS(t) is measured and Q.sub.IL(p) is from pre-calibrated (see
Q.sub.UL(p=10,t.sub.1)=α.Math.Q.sub.IL(p=10,t.sub.1) where Q.sub.IL(p=10,t.sub.1)=30 lpm (from picture A)
and from Q.sub.FS(t.sub.1)=Q.sub.UL(p,t.sub.1)+Q.sub.IL(p,t.sub.1) and Q.sub.L(t.sub.1)=0
Q.sub.UL(p,t.sub.1)=Q.sub.FS(t.sub.1)−Q.sub.IL(p,t.sub.1)=40−30=10 lpm where Q.sub.FS(t.sub.1)=40 lpm (measured at t.sub.1)
Then, α=Q.sub.UL(p,t.sub.1)/Q.sub.IL(p,t.sub.1)=10/30=1/3
This α is used for other pressure as well.
Q.sub.FS(t)=Q.sub.IL(p,t)+α.Math.Q.sub.IL(p,t)+Q.sub.L(t)
Or Q.sub.L(t)=Q.sub.FS(t)−Q.sub.IL(p,t)−α.Math.Q.sub.IL(p,t)
Or Q.sub.L(t)=Q.sub.FS(t)−(1+α).Math.Q.sub.IL(p,t)
Condition:
[0060] Q.sub.IL(p) are pre-calibrated. User inputs this information, i.e., Q.sub.IL(p) is known to the device.
Advantageously, as shown in
[0061] With reference now to
[0075] Tracking the third method described above, the algorithm works as follows:
Q.sub.FS(t)=Q.sub.IL(p,t)+Q.sub.UL(p,t)+Q.sub.L(t)
when P.sub.PS(t)≅EPAP,Q.sub.FS(t)=Q.sub.IL(t)+Q.sub.UL(t)
Model the orifice equation for total leaks, i.e., Q.sub.TL(p)=Q.sub.IL(p)+Q.sub.UL(p)
Using (but not limited to) the following two equations:
P.sub.PS(t)=7.57×10.sup.4Q.sub.TL(t).sup.1.85L/(D.sup.5P.sub.abs)(Empirical equation)
P.sub.PS(t)=8fρQ.sub.TL(t).sup.2L/(D.sup.5π.sup.2)(from Darcy Weisbach)
Now, Q.sub.TL(p) can be determined.
Note that Q.sub.TL(p) can be determined via 1 or 2 above. Or Q.sub.TL(p) can also be determined by a combination of 1 & 2—taking average or weighted average method.
Also, method three can run in the background all the time in conjunction with either method one or method two to verify the leak compensation from other methods, i.e., one and two. Method three can point out incorrect mask (i.e., Q.sub.IL(p), user interface) selection if this option is available. Method three by itself would be sufficient to yield Q.sub.L(p) for many configurations. Advantageously, as shown in
[0076] Embodiments of the invention have been applied throughout the breath cycle, for example during inspiration and exhalation in order to accurately determine the net flow to the patient (lung). With reference now to
[0077] With reference now to the example in
[0078] Using this general equation relating the different air flows,
Q.sub.FS(t)=Q.sub.IL(P,t)+Q.sub.UL(t)+Q.sub.L(t)
[0079] The system looks for the following condition,
Q.sub.L=0;Q.sub.FS=Q.sub.IL+Q.sub.UL
[0080] Which happens at point 1 and 2 when,
P.sub.PS≅EPAP=5 cmH.sub.2O
Q.sub.FS(1)=25 LPM;Q.sub.FS(2)=36 LPM
Q.sub.IL(1)=25 LPM;Q.sub.IL(2)=25 LPM
[0081] Solving for Q.sub.UL at point 1 and 2:
Q.sub.UL(1)=Q.sub.FS(1)−Q.sub.IL(1)=25−25=0 LPM
Q.sub.UL(2)=Q.sub.FS(2)−Q.sub.IL(2)=36−25=11 LPM
[0082] Point 1 shows that there is no unintentional leak. Point 2 shows that unintentional leak is introduced, α, ratio between Q.sub.UL to Q.sub.IL, can be calculated here
[0083] The ratio, α is then applied at other pressure points to determine the unintentional leak until a new ratio is found.
[0084] With reference now to the example in
Q.sub.FS(t)=Q.sub.TL(t)+Q.sub.L(t)
[0085] The system finds the points which satisfy the following condition,
Q.sub.L=0;Q.sub.FS=Q.sub.TL
[0086] Which happens at point 1 and 2 when,
P.sub.PS≅EPAP=5 cmH.sub.2O
Q.sub.FS(1)=Q.sub.TL(1)=25 LPM
Q.sub.FS(2)=Q.sub.TL(2)=36 LPM
[0087] The system plug the corresponding flow and pressure values at point 1 and 2 into an equation or combination of equations modeling flow orifice. Darcy Weisbach's equation is used here to demonstrate.
[0088] Where the following are known,
[0089] L=length of flow path
[0090] f=flow coefficient
[0091] ρ=air density
[0092] D, orifice diameter can be calculated at the point 1 and 2 to be,
[0093] D(1)=5.9 mm
[0094] D(2)=6.8 mm
[0095] The orifice diameter at point 2 is larger because additional leak is introduced. The orifice diameter values are then applied at other pressure points to find the total leak. Again, Darcy Weisbach's equation is used here for the sake of providing an example. The system may use different function or multiple functions.
[0096] Where
[0097] Q.sub.FS Flow @Flow Sensor
[0098] Q.sub.IL Intentional Leak
[0099] Q.sub.UL Unintentional Leak
[0100] Q.sub.L Lung
[0101] Q.sub.TL Total Leak=Q.sub.IL+Q.sub.UL
[0102] Q stands for flowrate
[0103] P.sub.abs absolute pressure
[0104] EPAP Expiratory Positive Airway Pressure
[0105] ρ (density of gas) constant 1.22
[0106] F constant 0.045 (empirically derived)
[0107] α coefficient
[0108] D diameter of orifice
[0109] L length of patient tube, e.g., 6 ft
[0110] The disclosures of each and every patent, patent application, and publication cited herein are hereby incorporated herein by reference in their entirety. While this invention has been disclosed with reference to specific embodiments, it is apparent that other embodiments and variations of this invention may be devised by others skilled in the art without departing from the true spirit and scope of the invention.