Smart shunt devices and methods
09861524 ยท 2018-01-09
Assignee
Inventors
- Gordon Albert Thomas (Princeton, NJ, US)
- Reginald Conway Farrow (Somerset, NJ, US)
- Alokik Kanwal (Princeton, NJ, US)
Cpc classification
A61M2205/3344
HUMAN NECESSITIES
A61M27/006
HUMAN NECESSITIES
A61M2205/0244
HUMAN NECESSITIES
A61F9/00781
HUMAN NECESSITIES
International classification
G01L9/12
PHYSICS
G01F1/64
PHYSICS
G01L9/00
PHYSICS
Abstract
Devices and methods for the measurement and control of fluid using one or two capacitors are described. The devices use Micro-Electro-Mechanical-Systems (MEMS) and radio-frequency inductive coupling to sense the properties of a fluid in a tube. The single and double capacitor devices may be coupled to shunts implantable in a patient and operable to be interrogated non-invasively. The shunts employing the novel capacitor devices are insensitive to stray signals such as the orientation of a patient's head. The devices are operable to employ a wireless external spectrometer to measure passive subcutaneous components.
Claims
1. A device comprising a micro-electromechanical system (MEMS) sensor having a single capacitor, comprising a rigid capacitor plate and a flexible capacitor plate separated by a distance forming a gap, wherein the flexible capacitor plate is operable to deform in response to pressure exerted by a fluid, wherein the capacitor plates are coupled to an inductor forming a capacitor-inductor loop, wherein the device is operable to convert deformation of the flexible capacitor plate into a change in a resonant absorption of the capacitor-inductor loop.
2. The device according to claim 1 further comprising an external circuit operable to induce an alternating current in the capacitor-inductor loop and measure the absorption resonance to convert the deformation of the flexible capacitor plate in response to the fluid into a change in capacitance.
3. The device according to claim 1 wherein at least one of the capacitor plates includes a surface at least partially coated with an oil.
4. The device according to claim 1 comprising a vent extending from the gap operable to permit background pressure at the sensor to be cancelled by a differential measurement.
5. The device according to claim 1 comprising a flow sensor comprising a chamber formed between an inlet of the fluid-conveying channel and the flexible capacitor plate, the chamber operable to receive fluid exiting the channel and further comprising an outlet formed in the chamber to permit flow of the fluid out of the chamber, wherein pressure of the fluid in the chamber causes the flexible capacitor plate to deform toward the rigid capacitor plate and thereby reduce the separation between the flexible and rigid capacitor plates and reduce the capacitance relative to the capacitance when no flowing fluid is present.
6. The device according to claim 5 wherein the fluid exits the outlet to a tube with a calibrated flow resistance to contact an opposite side of the flexible capacitor plate, wherein the device measures a pressure difference across the membrane.
7. The device according to claim 1 comprising a pressure sensor further comprising a shunt tube comprising an opening adjacent a chamber formed adjacent the flexible capacitor plate, wherein pressure of the fluid is transmitted through the fluid to the chamber.
8. The device according to claim 7, wherein the gap between the capacitor plates is sealed and comprises a fixed quantity of gas, and wherein a change in pressure of the fluid changes the capacitance and resonant property of the capacitor-inductor loop.
9. The device according to claim 1 coupled to a shunt operable to be implanted in a body of a patient, wherein the flexible capacitor plate is positioned to be in fluid connection with a fluid-conveying channel of the shunt.
10. The device according to claim 9 wherein the shunt is an ocular shunt.
11. The device according to claim 9 further comprising a flow regulation device comprising a valve disposed in the channel of the shunt.
12. A device comprising a micro-electromechanical system (MEMS) sensor having a single capacitor, comprising two flexible capacitor plates separated by a distance forming a gap, wherein the flexible capacitor plates are operable to contact a fluid and deform in response to pressure exerted by the fluid, wherein the flexible capacitor plates are coupled to an inductor forming a capacitor-inductor loop, wherein the device is operable to convert deformation of the flexible capacitor plates into a change in a resonant absorption of the capacitor-inductor loop.
13. The device according to claim 12 wherein the capacitor comprises two chips bonded together, wherein each chip comprises a rigid structure housing a flexible capacitor plate.
14. The device according to claim 12 further comprising an external circuit operable to induce an alternating current in the capacitor-inductor loop and measure the absorption resonance to convert the deformation of the flexible capacitor plate in response to the fluid into a change in capacitance.
15. The device according to claim 12 comprising a vent extending from the gap operable to permit background pressure at the sensor to be cancelled by a differential measurement.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) For the purposes of illustration, there are forms shown in the drawings that are presently preferred, it being understood, however, that the invention is not limited to the precise arrangements and instrumentalities shown.
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DETAILED DESCRIPTION OF THE INVENTION
(33) The following is a detailed description of the invention provided to aid those skilled in the art in practicing the present invention. Those of ordinary skill in the art may make modifications and variations in the embodiments described herein without departing from the spirit or scope of the present invention. Unless otherwise defined, 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. The terminology used in the description of the invention herein is for describing particular embodiments only and is not intended to be limiting of the invention. All publications, patent applications, patents, figures and other references mentioned herein are expressly incorporated by reference in their entirety.
(34) As will be apparent to those skilled in the art, the terms sensor and capacitor may be used interchangeably when a capacitor is used as a sensor or vice-versa.
(35) Uni-Capacitor Sensors
(36) In accordance with one embodiment, a wireless uni-capacitor flow sensor with dynamic pressure and temperature equalization is disclosed. The wireless flow sensor is useful for both liquids and gases. Disclosed devices are intended to measure slow flow rates, such as occur in a shunt in a human eye or brain, but are capable of measuring a wide range of flow rates in biological, military and industrial applications. The devices use the deformation of a flexible capacitor plate due to the dynamic pressure of a flowing fluid as a means of converting the flow rate into a change in capacitance. The sensitivity of the flow sensor is improved by equalizing the static pressure of the fluid across the flexible capacitor plate. The devices are also insensitive to temperature variations. The flexible capacitor is connected with an inductor in a resonant circuit. Changes in the circuit resonance are calibrated initially with known flow rates. In operation, changes in the flow are determined from the circuit resonance using wireless electronics.
(37) The devices can detect the flow rate after the shunt and indicate that the shunt is clogged or is failing. The uni-capacitor system disclosed herein overcomes the problem of background pressure variations which can produce signals in a bi-capacitor system that are 1000 times larger than the signal due to flow. These background variations need to be controlled to an extent that is impractical in a living patient.
(38) With reference to the drawings, wherein like numerals indicate like elements, the following are exemplary of types of components that may be included in a smart shunt.
(39) Referring to
(40) The fluid then goes through a tube with a calibrated flow resistance, R, to the back side of the same membrane. The device measures the pressure difference P1P2 across the single membrane, where the flow rate, Vf, is given by
Vf=(P1P2)/R(1).
(41) There are some applications for the flow sensor where the background, static pressure is not constant and has a range of variation that is orders of magnitude larger than the range of the pressure difference across the membrane. This would make it very difficult to separate the flow from the background. To alleviate this problem in accordance with one embodiment an apparatus is disclosed which may nullify the effect of static pressure on membrane deflection. A MEMS capacitor is constructed such that the gap 3 between the plates 2 and 4 has a vent 18 that allows the background pressure at the capacitor to be cancelled by the differential measurement. A second tube 16 is connected to the tube that carries the flowing liquid at a point 15, which is before the flowing fluid impinges onto the capacitor membrane 14. This second tube 16 allows part of the fluid to flow into the closed volume that includes the tube 16, the volume above the capacitor 19, and the gap between the plates 2. Before the liquid enters the device (initial condition) this closed volume is filled with air or some other gas. As the fluid starts to flow through the device, the fluid that flows into tube 16 pushes against the pressure of the air in the tube and will fill a volume up to a point 21. After the system equilibrates, there will be no flow in the tube 16 and the pressure in the tube will be just the static pressure of the fluid. Since the pressure in the tube must be the same in all places in the closed volume that includes the tube, the pressure at the top of the capacitor membrane 14 is the static pressure of the fluid. Since the pressure on the bottom side of the membrane also contains a component due to the static pressure of the fluid, the deflection of the membrane due to static pressure from the flowing fluid (bottom) is offset exactly (canceled) by the static pressure above the membrane. Therefore the net deflection of the membrane will only result from the pressure difference of the flowing fluid.
(42) In most cases, for in vivo use of the device, the fluids that flow through the device are electrically conducting such as saline. It is important to keep the conductive surfaces of the capacitor plates insulated from the fluid since this would short the capacitor. One way to accomplish this is to deposit an insulating material on one of the two plates 2, 4 during the fabrication. A thin insulating layer on either plate would be possible, but applying the layer to the top capacitor plate 2 would provide the least complication to the design since it would not affect the mechanical properties of the thin membrane. Another consideration is that a liquid between the plates 2, 4 would change the dielectric properties of the gap 3 between the capacitor plates 2, 4. The dielectric property of the gap 3 affects the capacitance and the performance of the circuit that is used to sense the membrane deflection. It is important that, if it is possible to have a liquid between the capacitor plates, that this liquid be present at all times between the plates so that the device calibration will not change during normal operation. In one embodiment, to assure that liquid is between the plates 2, 4, the device is constructed such that the desired fluid can be flushed through the plates before the device is calibrated and used. This fluid should have the same dielectric properties of the fluid that will be used during operation of the device since, during the operation of the flow meter, the liquid between the plates will mix with the fluid that is being measured. Otherwise the fluid that it used to flush the plates will need to be immiscible with the fluid that is used in normal operation. Such a flow meter with fluid between the capacitor plates is a straightforward alternate embodiment of the devices detailed herein.
(43) The capacitor plates may be coated with an insulating, inert fluid, such as an oil. To avoid the need for having fluid between the capacitor plates, in one embodiment the geometry of the closed volume (that comprises essentially the tube 16, the volume above the capacitor 19, and the gap 3 between the plates 2, 4) is designed such that liquid will not flow beyond the end of the tube 20. Initially there is no liquid in the tube and the pressure in the closed volume is P.sub.0. The volume of air initially is V.sub.0+V.sub.C, where V.sub.0 is the volume in the entire length, L.sub.0, of the tube from point 15 to 20. V.sub.C is the remaining volume of air including the air above the capacitor and in the gap between the capacitor plates. When fluid is flowing through the flow meter the total volume of air in the closed volume, V, at equilibrium is V.sub.T+V.sub.C, where V.sub.T is the volume of air in the length, L.sub.F, in the tube from the point 21 to 20, which is the end of the tube. When liquid is flowing through the device the pressure in the closed volume is P.sub.S. One of the well-known laws of thermodynamics is that, for a gas, the product of the pressure times the volume is constant for a closed volume. That is, for the flow meter described here,
P.sub.0(V.sub.0+V.sub.C)=P.sub.S(V.sub.T+V.sub.C)(2)
and
P.sub.0(L.sub.0A.sub.T+V.sub.C)=P.sub.S(L.sub.FA.sub.T+V.sub.C)(3)
where A.sub.T, is the cross-sectional area inside the tube. If the maximum allowable pressure, P.sub.MAX, is defined as the pressure that compresses the liquid to the end of the tube (20), then with L.sub.F=0,
(44)
(45) From Eq. 4 it can be further derived that a sufficient condition for the fluid to not reach the volume above the capacitor at the maximum designed static pressure, P.sub.MAX, is that the total length of the tube, L.sub.0, is long enough to assure that
(46)
(47) Eq. 5 specifies the required relationship between the geometrical parameters L.sub.0, V.sub.C, and A.sub.T as a function of the pressures P.sub.0 and P.sub.MAX. In practice there may be other factors that constrain L.sub.0, V.sub.C, and A.sub.T including limitations of space. In particular, if the tube diameter A.sub.T is small to accommodate an interface to a shunt device for regulating intracranial fluid flow, then the volume V.sub.C will need to be small enough to keep L.sub.0 from being unacceptably long. Since the device will be used in vivo, the flow meter will contain a cap 22 that hermetically seals it from the surroundings. In some embodiments the closed volume above the capacitor 19 may be smaller than the space within the cap 22 to limit V.sub.C. Therefore, a cap 17 that is smaller than the cap 22 may be used to define the volume 19. The cap 17 may be hermetically sealed directly to the MEMS capacitor.
(48) With the contribution from the static fluid pressure on the membrane deflection eliminated by the current invention, the capacitance, C, of the MEMS device is then a function of the pressure difference generated by the fluid flow rate and C is approximately given by the equation:
(49)
where .sub.0 is the permittivity of free space, A is area of the capacitor plates, d is the initial separation or the capacitor plates, w is the deflection induced at the center of the membrane by the pressure, P, of the flowing fluid. w is given approximately by:
(50)
where c.sub.1 is a dimensionless parameter, t is the thickness of the capacitor membrane, and is the residual stress of the capacitor membrane. The MEMS capacitor is connected in series with an inductor 11 that includes wire wound around a suitable core material 12. The capacitor and inductor are mounted on a substrate 13. Alternate embodiments of this scheme include mounting the inductor directly on the MEMS device or fabricating the inductor on the MEMS device including using either of the metal levels that are used for the capacitor plates (2 or 4 in
(51) Now referring to
(52) Detection of the MEMS capacitance can be done using mutual induction, which is a technique that is well known to those who are knowledgeable in the art of wireless transmission technology. One embodiment is shown in
(53) An important consideration for the flow sensor is the sensitivity, which is the ability to measure flow rates that are in the range of the flow rates for intracranial fluids. The intracranial flow rate may be as small as 20 milliliters per hour. There are two interrelated parts of the flow rate sensitivity that are important. The first is the mechanical sensitivity of the MEMS capacitor. The second is the relative error of the resonant frequency measurement, which relates to the quality factor, Q, of the measurement circuit. The first consideration concerns the deflection, w, of the membrane in response to the pressure of the flowing fluid and the corresponding change in capacitance that is induced. In equation 7 the thickness, t, of the membrane has to be large enough to be reliable under normal operating conditions. That is, the fracture strength of the membrane needs to be large enough to limit failure of the membrane within some specified range of pressure. The residual stress, , in the membrane is a key parameter since for many materials it can vary over several orders of magnitude depending on membrane growth method and processing conditions. Ideally the residual stress, , should be at a minimum and tensile to give the maximum pressure induced deflection of the membrane.
(54) The following example parameters are used to estimate the sensitivity of the flow sensor:
(55) TABLE-US-00001 TABLE 1 Parameter Description Value Unit A Area of capacitor plates 4 mm.sup.2 t Membrane Thickness 0.5 micrometers d Initial spacing between 4 micrometers capacitor plates Intial membrane stress 1 10.sup.6 Pascal Density of liquid (water) 1 10.sup.3 kg/mm.sup.3 .sub.0 Permittivity of free space 8.85 10.sup.12 MKS c1 Dimensionless parameter 3.393 L.sub.S Inductance of sensor coil 0.01 henry R.sub.S Resistance of sensor loop 0.21 ohm L.sub.D Inductance of detector coil 0.001 henry R.sub.D Resistance of detector 1 10.sup.6 ohm resistor M Mutual induction between 0.0001 henry L.sub.S and L.sub.D V.sub.D Amplitude of detector drive 5 Volts voltage
(56) Now referring to
(57)
(58) Using the values in Table 1, f.sub.S is approximately 3.3 Hz which is much smaller than df.sub.S/dV.sub.F (60 Hz) at V.sub.F=20 milliliter/hour.
(59) The mutual induction, M, between the detection and sensor coils shown in
(60) Now referring to
(61) In accordance with one embodiment, in
(62) In another embodiment, a MEMS capacitor may be formed by two rigid chip structures bonded together, each of the chips including a flexible membrane. Such a capacitor may employed to form a sensor including two flexible capacitor plates separated by a distance forming a gap, wherein the flexible capacitor plates include membrane structures operable to contact a fluid and deform in response to pressure exerted by the fluid, wherein the device is operable to convert deformation of the membranes into a change in the resonant absorption of a capacitor-inductor loop.
(63) Pressure Sensor
(64) Now referring to
(65) In the pressure sensor 115, no flow is required and only the pressure is transmitted through the fluid to the region P1 below the bottom capacitor plate 4. The gap between the capacitor plates 2, 4 may be, and is preferably, at a fixed pressure which would be sealed in by the layer containing the top, fixed capacitor 2 plate during fabrication. Each of the capacitor plates 2, 4 are attached to a wire 2a, 4a, respectively, which connects to an inductor 11 in the form of a coil. This coil may be remote from the capacitor and part of the coil may serve as an antenna for probing the resonant properties of the circuit. As in the case of the flow sensor, changing pressure near the capacitor moves the free membrane 14 and changes the capacitance. The changing capacitance in turn changes the resonant property of the circuit, which may be measured wirelessly. The sensor 115 may be calibrated after fabrication by measuring it in a fluid of known pressure. The calibration may also include a measurement of the effect of temperature (since increased temperature would expand the fluid between the capacitor plates 2, 4 and mimic a pressure reduction). A temperature correction may be included in the measurement electronics. Using MEMS type technology, this device may be made small enough to incorporate in a shunt for the treatment of glaucoma and the associated monitoring of the intraocular pressure.
(66) Fluid Composition Sensor
(67) With reference to
(68) The device 120 functions under the assumption that the fluid contains solutes of some kind, such as salt in the cerebro-spinal fluid. As the concentration of the solvent varies, both real and imaginary part of the dielectric constant in the capacitor varies. This variation is measured by the resonance of the circuit including the capacitor and inductor 11, providing an indication of the composition of the fluid. In the case of the salt in the cerebro-spinal fluid, the conductivity of the fluid would change substantially, the capacitor loss would respond and the width of the resonance would allow an indication of the fluid composition. The shape of the absorption resonance of the LC circuit may be modified by the dielectric constant of the constituents of the fluid and provide information about them. The device may be calibrated after fabrication by immersing it in appropriate fluid and recording the changes in resonance under controlled compositions.
(69) The composition sensor 120 may be employed to measure the normally occurring variations so that the physician would have a better understanding of a particular patient. It also serves to monitor directly the effect of medication in the fluid.
(70) Flow Restoration Component
(71) With reference to
(72) The device 130 may be coupled to a capacitor which in turn is coupled to a wireless circuit that delivers power to the implanted part of the device 130. In this case, the moveable plate in the capacitor is comparable in size to the shunt and is strong enough to be driven electrically to produce a substantial pressure pulse. The pulse travels down the ventricular catheter and is absorbed in the region near the end of the catheter. In a preferred embodiment a train of pulses in the form of solutions may be used. Losses in the shunt tube are not problematic because the tube length is often short. The energy of the pulse is partly reflected from the shunt end, but mostly absorbed in damped vibrations. These vibrations tend to dislodge particulate matter from the openings near the shunt end, thus clearing the intake openings. When the openings are clear, the pressure waves tend to drive particles away from the openings, thus lengthening the time before the next clearing would be required.
(73) A range of pulse sizes, widths and frequencies are available through the external electronics.
(74) In various embodiments of this flow restoration device, it may be paired with designs of the fluid intake device to optimize the function of both. In one embodiment, the end of the ventricular catheter 132 may be covered with a meshwork which may be directly in the path of the pressure pulse propagation direction.
(75) Flow Regulation Component
(76) With reference to
(77) In one embodiment the valve is a butterfly valve 152 which is rotatable about a shaft 153 which provides friction so that under normal flow conditions the valve does not move. When the disk in the valve 152 is open it is in the plane of the flow and provides only negligible impedance to the flow. The disk can be continuously rotated and, when closed, would essentially stop the flow. The shaft 153 may have an end exterior of the shunt tube which may be connected to AC motor coils which allow a signal from a flow or pressure meter to change the position of the valve. Advantages of this embodiment include controllability of the valve and the ability of the valve to respond immediately to abnormalities in the fluid, and, if desired, correct for the pulsatile component of the pressure in fluids such as cranial fluids, ocular fluids and blood.
(78) External Wireless Communication
(79) When small coupling powers are required, the external communicator may be a combination of a microprocessor, a special antenna and a cell phone and could be easily portable. For more intense coupling power and more detailed processing links to external power and computing equipment may be desirable.
(80) Referring now to
(81) The system 100 preferably includes at least one server 60 coupled to one or more user computers 70 over a network 80, such as the Internet. The server 60 and user computers are operable to carry out computing activity (e.g., the execution of suitable software code) in connection with implementing the functions and actions of the system 100 disclosed and described herein.
(82) By way of example, the server 60 and/or the user computers 70 may be implemented using known hardware, firmware, and/or software, as well as specialized software for carrying out specific functions and actions desirable for implementing embodiments of the invention. For example, with reference to
(83) Data are preferably input to, and output from, the data processing unit 102 by way of an input/output device (or I/O interface) 108. Operators of the system 100 may desire to input software programs and/or data into the computer 101 by way of an external memory 110 that is coupled to the I/O interface 108 by way of a suitable link (such as a cable, wireless link, etc.) The external memory 110 may be implemented via a flash-drive, disc, remotely located memory device, etc.
(84) The server 60 and/or the user computers 70 may also include an interface device 111, which is operatively coupled to the I/O interface 108 of the computer 101 via a suitable link, such as a cable, wireless link, etc. The interface device 111 includes at least one display 112, as well as an input device 114, such as a keyboard, mouse, voice recognition system, etc. The operators of the system 100, such as an IT professional (on the server 60 end) or a researcher (on the user computer 20 end), preferably utilizes the interface device 111 to provide information to the computer 101 in connection with entering appropriate data and/or programs into the system 100.
(85) The computer 101 manipulates data via suitable software code in accordance with various embodiments of the invention and may display results on the display 112 for consideration by the various operators (IT professionals, users, etc.). In accordance with well-known techniques, the results may also be stored within the memory 104 of the computer 101, output and saved on the external memory device 110, and/or provided in any of a number of other ways.
(86) It is noted that the functional blocks illustrated in
(87) Irrespective of how the system 100 is implemented and/or partitioned, it preferably carries out one or more methods for providing output from one or more sensors associated with a smart shunt to a communication system that is operable to provide information to a care provider located remotely.
(88) Now referring to
(89) In one embodiment a method of testing a shunt itself is disclosed for evaluating the precursive behavior to occlusion of the shunt to improve decisions on shunt revision. See, Published U.S. Patent Application 2010/0228179 No Clog Shunt Using a Compact Fluid Drag Path, the entirety of which is incorporated herein by reference. The method can be used in a brief examination of the shunt in the operating room after the ventricular end is inserted in the head. Occlusion can be detected very quickly by testing the flow of cerebrospinal fluid.
(90) Dual Capacitor Sensors
(91) In accordance with another embodiment, dual capacitor flow sensors are provided.
(92) Dual capacitor sensors as disclosed herein are capable of measuring the slow flow characteristic of the cerebrospinal fluid in the range from less than 4 mL/hour to above 100 mL/hour. These sensors are suitable for long-term implantation at least in part because they use a wireless external spectrometer to measure passive subcutaneous components. The sensors are pressure-sensitive capacitors, in the range of 5 pF with an air gap at atmospheric pressure. Each capacitor is in series with an inductor to provide a resonant frequency that varies with flow rate. At constant flow, the system is steady with to <0.3 mL/hr over a month. At variable flow rate, {dot over (V)}, the resonant frequency, f.sub.0, which is in the 200-400 MHz range, follows a second order polynomial with respect to {dot over (V)}. For this sensor system the uncertainty in measuring f.sub.0 is 30 kHz which corresponds to a sensitivity in measuring flow of {dot over (V)}=0.6 mL/hr. Pressures up to 20 cm H.sub.2O relative to ambient pressure can also be measured. An implantable twin capacitor system is provided that can measure flow, which is fully compensated for all hydrostatic pressures.
(93) The dual capacitor smart shunts disclosed herein employ an implanted pair of capacitive pressure sensors made using MEMS technology to monitor flow and provide early warning of a shunt failure. The devices are sensitive enough to allow the detection of the approach to shunt occlusion and to monitor the efficacy of treatments. Such devices may allow a physician to check for failure of CSF flow without surgery and make an informed and quick decision about further diagnosis and treatment.
(94) For a fuller understanding of the embodiments herein it useful to discuss some of the underlying theory of sensor operation.
(95) Theory of Sensor Operation
(96) Pressure drop due to viscous drag along the walls of a tube when fluid flows through, is governed by Poiseuille's law. The flow rate of the fluid produces a dynamic contribution to the pressure drop. The difference in pressure, P, between two points in the flow is proportional to the volumetric flow rate, {dot over (V)}:
P=R.sub.hyd{dot over (V)},(11)
where R.sub.hyd is the hydraulic flow resistance, which depends on the geometry of the channel between the two points where the pressure is measured and the viscosity, , of the fluid. For a circular cross-section channel with diameter, D, and length, l, it is:
(97)
(98) The pressure sensor employed in one or more embodiments is a parallel plate capacitor with a fixed upper plate and a flexible lower plate designed to be in contact with the fluid. The pressure of the fluid pushes against the lower plate and the deflection produces a change in the distance between the capacitor plates, thus resulting in a change in capacitance. The capacitance change is directly proportional to the fluid pressure. The capacitor is connected to an inductor, which is inductively coupled to a spectrometer that allows for wireless detection of the flow or pressure.
(99) For a square membrane with a half-width, a, the pressure changes the capacitor gap, w, at the center. The area is a.sup.2/4, (a square supported on all sides). The pressure is given by
(100)
where c.sub.1=3.393, c.sub.2=8/6(1+v), .sub.0 is the initial stress of the membrane, t is the thickness of the membrane, E is the Young's modulus and v is Poisson's ratio. For the SiN.sub.x membrane that was fabricated for certain embodiments herein the Young's modulus E is 220 MPa, v is 0.28 and .sub.0 is from 100 MPa to 400 MPa. For membrane stresses in SiN.sub.x that are in this range the first term on the right hand side of Equation 13 is much larger than the term proportional to w.sup.3. That is, the center deflection is a linear function of the pressure. The sensor is more sensitive when the initial membrane stress is smaller, but should be optimized along with the area, membrane thickness, and capacitor plate spacing to minimize the chance that the plates touch at the maximum design pressure.
(101) The capacitance is calculated by first modeling the shape of the membrane under pressure either by using an analytical formula or finite element analysis. For a square membrane w is replaced by w(x,y) with axa and aya. An analytical model as follows was used in connection with the embodiments herein:
(102)
where w.sub.0=w(0,0) is the deflection at the center of the membrane and includes contributions from the pressure that produces the flow minus the pressure drop from viscous drag (e.g. Equation 11). w.sub.0 is governed by Equation 13. The capacitance is then calculated numerically.
(103)
where d is the capacitor plate spacing in the absence of pressure. The resonant frequency of a closed loop circuit with the sensor in series with an inductance, L, is then:
(104)
(105) In practice, when the capacitor is used to measure flow, w.sub.0, is generally comprised of a static pressure component from the fluid that deflects the flexible membrane inward and a component from the flow governed by Eq. 11 that counteracts the static pressure. If the sensor is in the fluid path of a ventriculoperitoneal shunt, the static pressure at the inlet of the shunt is proportional to the CSF pressure that controls the rate of flow through the shunt. There is also a component of hydrostatic pressure that depends on the path of the fluid, any devices in the path of the fluid (e.g., valves) and the orientation of the shunt with respect to gravity. A single capacitive pressure sensor detects the combined affect of CSF pressure, hydrostatic pressure and flow. The flow component is most conveniently separated by comparing the measurements from two capacitive sensors in the fluid path of the shunt and using Equation 11.
(106) There is no analytical solution for the flow rate as a function of frequency for the case of a square membrane, but by inspection of Eqs. 11, 13, 15, and 16, a non-linear relationship is expected. However, a calibration can be easily recorded. For membrane deflections that are small compared to the gap between the capacitor plates, the theory predicts that the frequency is almost a linear function of the flow rate. For larger deflections the frequency is a non-linear function. The design of the capacitor then dictates the response.
(107) As an example, with reference to
(108) Experiments
(109) Materials and Methods
(110) Capacitive Sensor Fabrication
(111) Pressure-sensitive capacitors were fabricated using MEMS technology. The core of the sensor is the capacitor with a flexible membrane. With reference to
(112) Now referring to
(113) In accordance with another example, a dual layer differential flow sensor may be fabricated employing Al.sub.2O.sub.3 as an oxide etch barrier. With reference to
(114) Now referring to
(115) Now referring to
(116) Now referring to
(117) The foregoing examples are illustrative. It will be apparent to those skilled in the art that sensors in accordance with the present disclosure may be fabricated according to a number of different schemes, using various acceptable materials and designs.
(118) Incorporation of Inductor Coil and Chip Carrier with the Chip
(119) In one embodiment a chip carrier may be a rectangular piece of biocompatible material (such as medical grade plexiglass), which serves as a platform that can accommodate the variable capacitor chip. For example, a chip carrier may be a cubic block of 1.30.90.2 cm with a fluid channel of 0.8 mm diameter that is planar and runs straight through the carrier allowing the fluid to enter at one end and exit through the other. This configuration allows the fluid to make contact with the lower part of the capacitors when the chip is placed on top of the chip carrier. The capacitor chip is glued to the top of the carrier to form a watertight seal. Next, inductors were coupled to each of the pressure sensors by directly soldering the inductor coils onto the capacitor plate leads.
(120) Test Configuration
(121) The configuration of the sensor used for the tests reported here is shown in
(122) Examples of the sensors and the spectrometer are shown in
(123) With reference to
(124) Clinical Configuration
(125) Now referring to
(126) With the expectation of a variable pressure in the brain and the peritoneal cavity and a variable flow resistance in the pressure control valve, there is no reference pressure accessible except in the gap of the capacitor. The solution is to employ dual capacitors and use the difference signal as a measure of flow and the average as a measure of pressure. A tilt-sensor (not shown) may also be used to improve accuracy.
(127) Fluid flows from the ventricle 600 through a ventricular catheter 442 of shunt 440 to the first sensor 410, which measures P1 relative to the gas encapsulated between the capacitor plates 402, 404. Fluid then flows through a calibrated length of shunt tube 450 (length of order 10 cm and flow resistance R.sub.hyd) to the second sensor 420, which measures P2. P2 is lower because of the flow by an amount P1P2=R.sub.hyd {dot over (V)}. When the sensor system 400 is horizontal, the pressure difference and the calibrated value of R.sub.hyd determines {dot over (V)}. The average of P1 and P2 determines the pressure P, which is related to the CSF pressure, but must be corrected for the fluid path length from the entrance of the shunt 440 (in the ventricle 600) and the vertical height difference.
(128) When the patient is in the horizontal position, the pressure difference P1P2 is from the flow. The situation is different when the patient and whole shunt system 400 including the capacitors is in the vertical position. In this case, there is a gravitational, hydrostatic pressure difference across the 1.5 mm height between the two sensors 410, 420, with the standard formula P2P1=gh, where is the density of the fluid, g is the gravitational constant and h is the height of fluid, and pressure is often given in terms of h in units of mm H.sub.2O. Even for h=1.5 mm H.sub.2O, the pressure needs to be included in the analysis, but it is known and it is constant. A tilt sensor may be useful to improve the accuracy.
(129) After the fluid passes both sensors 410, 420, the fluid proceeds through tube 444 to a conventional pressure control device 460, of which there are various successful examples commercially available. The pressure control device 460 substantially modifies the relationship between flow and pressure and the variations in this relationship makes a device that measures both P and F more valuable. Now referring to
(130) Method for Obtaining Pressure and Flow Information Using Twin Sensors and Patient's Position
(131) As shown in
(132) Now referring to
(133) Supine Patient Position
(134) All of the valves measured in
(135) Vertical Patient Position
(136) All of the valves measured in
(137) Occlusion
(138) One of the most important conditions of the shunt is a malfunction because of an occlusion. Although it may be possible to gain some information from the pressure measurements, the combination of pressure and flow will be most valuable. For example, with a vertical patient, a history of flow readings may be recorded over time. A systematic decrease in the flow rate for a vertical patient may indicate a narrowing of the flow path between the ventricle and any point in the shunt tube. A stoppage of flow indicates an occlusion. In this case, the pressure will only be due to the height difference in the shunt tube. Further confirmation is that, with the patient horizontal, the ventricular pressure will result from the sensor pressure reading. Measurements presented below indicate the characteristics of this type of system.
(139) Results and Discussion
(140) Frequency Vs. Flow Rate
(141) The frequency variation as a function of flow rate measured using the configuration shown in
(142) Measurements of the same device over a month resulted in a frequency drift equivalent to <0.3 mL/hr, which is on the order of the uncertainty in the flow rate. Systematic drifts in the system are apparently small. Also, the sensitivity to temperature was measured to be equivalent to {dot over (V)}1 ml/(hr C.). It is expected that ambient pressure effects on the sensor in vivo, will be minimal when differential pressure measurements are employed.
(143) Frequency Vs. Pressure
(144) The frequency variation as a function of hydrostatic pressure was measured using the configuration shown in
(145) As discussed earlier the vertical sensor orientation is preferred for twin capacitors in vivo since the shunt valve is open and the hydrostatic pressures can be easily compensated. The degree of verticality is important. As an example for the sensors that we have tested the frequency shift for a hydrostatic pressure corresponding to a sensor height difference of h=1.50 mm is 400 kHz. To reduce the uncertainty, this contribution should be measured carefully. The solution is to have the axis connecting the center of the two capacitors held vertically. In this orientation, the static gravitational pressure difference between the sensors is at a maximum, but it is insensitive to the angle from the vertical. Provided that this contribution remains a constant, a correction can be made because all of the physical parameters are known or can be easily measured. The vertical position is where the shunt valve is open and is also where the difference height as a function of angle, q, from vertical is least sensitive. Also,
h=h.sub.0 cos(q),(17)
wherein h is slowly varying for q near 0. Tilt sensors are commercially available with sensitivities of 0.01 and with double axes. For the present systems, in one embodiment the height, h=1.50 mm, the fluid density, =1.007 gm/cm.sup.2, and the gravitational constant, g=980 cm/s.sup.2, a tilt angle of 0.01 corresponds to a change in height of only 8/10000 mm. This procedure is feasible even on a capacitor pair that is implanted in a patient. The tilt sensor can be mounted on the external spectrometer. With this control, the value of h can be adjusted to h.sub.0 or a correction can be introduced for a finite value of h. The patient can also be moved slightly to maximize the frequency. The twin capacitor system is preferable.
(146) Additional Flow Sensor Evaluation Tests
(147) All of the tests above were carried out wirelessly, using inductive coupling between loops on the sensor and on the reader.
(148) Dual Resonance Test:
(149) In a separate test, two different coils for two capacitors were used to produce resonances near 250 MHz and 350 MHz. The data shown in
(150) Sensitivity and Resonance Width Test:
(151) The resonant center frequency can be determined by fitting the entire curve to an uncertainty of 30 kHz much less than the resonance width, as shown in
(152) As noted above, sensors as disclosed herein coupled to standard shunts may be measured with an external wireless spectrometer and an orientation sensor. Test results from a MEMS-based capacitive pressure sensor show that systems disclosed herein may be sensitive to flow rates from below 0.6 mL/hr to above 100 mL/hr. Such systems are also sensitive to pressures from less than 1 mm H.sub.2O to more than 200 mm H.sub.2O.
(153) Devices and methods in accordance with the present disclosure are operable to head off brain injury and death, reduce brain surgeries and test medicines.
(154) Although the systems and methods of the present disclosure have been described with reference to exemplary embodiments thereof, the present disclosure is not limited thereby. Indeed, the exemplary embodiments are implementations of the disclosed systems and methods are provided for illustrative and non-limitative purposes. Changes, modifications, enhancements and/or refinements to the disclosed systems and methods may be made without departing from the spirit or scope of the present disclosure. Accordingly, such changes, modifications, enhancements and/or refinements are encompassed within the scope of the present invention.
REFERENCES
(155) All references listed are incorporated herein by reference in their entirety. Di Rocco, C., L. Massimi, and G. Tamburrini, Shunts vs endoscopic third ventriculostomy in infants: are there different types and/or rates of complications? A review. Childs Nerv Syst, 2006. 22(12): p. 1573-89. Garton, H. J. and J. H. Piatt, Jr., Hydrocephalus. Pediatr Clin North Am, 2004. 51(2): p. 305-25. Robertson, J. S., M. I. Maraqa, and B. Jennett, Ventriculoperitoneal shunting for hydrocephalus. British medical journal, 1973. 2(5861): p. 289-292. Vinchon, M., et al., Shunt revision for asymptomatic failure: surgical and clinical results. Neurosurgery, 2003. 52(2): p. 347-53; discussion 353-6. Caldarelli, M., C. Di Rocco, and F. La Marca, Shunt complications in the first postoperative year in children with meningomyelocele. Childs Nerv Syst, 1996. 12(12): p. 748-54. Blount, J. P., J. A. Campbell, and S. J. Haines, Complications in ventricular cerebrospinal fluid shunting. Neurosurg Clin N Am, 1993. 4(4): p. 633-56. Kulkarni, A. V., et al., Predicting who will benefit from endoscopic third ventriculostomy compared with shunt insertion in childhood hydrocephalus using the ETV Success Score. Journal of Neurosurgery: Pediatrics, 2010. 6(4): p. 310-315. Kulkarni, A. V., et al., Endoscopic Third Ventriculostomy Vs Cerebrospinal Fluid Shunt in the Treatment of Hydrocephalus in Children: A Propensity Score-Adjusted Analysis. Neurosurgery, 2010. 67(3): p. 588-593 10.1227/01.NEU.0000373199.79462.21. Sekula, R. F., et al., Laparoscopically assisted peritoneal shunt insertion for hydrocephalus. British Journal of Neurosurgery, 2009. 23(4): p. 439-442. Winston, K. R., J. A. Lopez, and J. Freeman, CSF Shunt Failure with Stable Normal Ventricular Size. Pediatric Neurosurgery, 2006. 42(3): p. 151-155. Akar, O., T. Akin, and K. Najafi, A wireless batch sealed absolute capacitive pressure sensor. Sensors and Actuators A: Physical, 2001. 95(1): p. 29-38. Chang, S.-P. and M. G. Allen, Demonstration for integrating capacitive pressure sensors with read-out circuitry on stainless steel substrate. Sensors and Actuators A: Physical, 2004. 116(2): p. 195-204. Lei, K. F., K.-F. Lee, and M.-Y. Lee, Development of a flexible PDMS capacitive pressure sensor for plantar pressure measurement. Microelectronic Engineering, 2012. 99(O): p. 1-5. Ha, D., et al., Polymer-based miniature flexible capacitive pressure sensor for intraocular pressure (IOP) monitoring inside a mouse eye. Biomedical Microdevices, 2012. 14(1): p. 207-215. Sutera, S. P. and R. Skalak, The History of Poiseuille's Law Annual Review of Fluid Mechanics, 1993. 25(1): p. 1-20. Oosterbroek, R. E., et al., A micromachined pressure/flow-sensor. Sensors and Actuators A: Physical, 1999. 77(3): p. 167-177. Oosterbroek, R. E., et al. Designing, realization and characterization of a novel capacitive pressure/flow sensor. in Solid State Sensors and Actuators, 1997. TRANSDUCERS '97 Chicago., 1997 International Conference on. 1997. Vlassak, J. J. and W. D. Nix, New bulge test technique for the determination of Young's modulus and Poisson's ratio of thin films. Journal of Materials Research, 1992. 7(12): p. 3242-3249. Pan, J. Y., et al. Verification of FEM analysis of load-deflection methods for measuring mechanical properties of thin films. in Solid-State Sensor and Actuator Workshop, 1990. 4th Technical Digest., IEEE. 1990. Ohta, T., et al., Development of a Fully Implantable Epidural Pressure (EDP) Sensor, in Intracranial Pressure VII, J. Hoff and A. L. Betz, Editors. 1989, Springer Berlin Heidelberg. p. 48-51. (Reprinted with kind permission from Springer Science and Business Media). Irani, D. N., Properties and Composition of Normal Cerebrospinal Fluid, in Cerebospinal Fluid In Clinical Practice, D. N. Irani, Editor 2009, Saunders Elsevier: Philadelphia. p. 69.