US20150018911A1 · App 14/317,948
APPARATUS, SYSTEM, AND METHOD FOR MINIMIZED ENERGY IN PERIPHERAL FIELD STIMULATION
Publication
Application
Classifications
IPC Classifications
CPC Classifications
Applicants
Greatbatch Ltd.
Inventors
Kerry Bradley
Abstract
In various examples, an apparatus is configured for at least partial insertion in a living body. The apparatus includes an elongate lead body including a proximal lead end and a distal lead end. At least one connector is disposed proximate the proximal lead end. At least one flexible conductive surface is disposed at least partially around the lead body proximate the distal lead end. At least one conductor extends within the lead body from the at least one connector to the at least one flexible conductive surface.
Get a summary, plain-language explanation, or ask your own question.
Figures
Description
CROSS REFERENCE TO RELATED APPLICATIONS
[0001]This application claims the benefit of priority to U.S. Provisional Application Ser. No. 61/841,965, filed on Jul. 2, 2013, entitled “STIMULATION APPARATUSES, DEVICES, SYSTEMS, AND METHODS,” which is incorporated by reference herein in its entirety.
TECHNICAL FIELD
[0002]The present patent document pertains generally to peripheral field stimulation and more particularly, but not by way of limitation, to an implantable peripheral field stimulation apparatus, system, and method.
BACKGROUND
[0003]Peripheral nerve field stimulation (PNFS), where multicontact percutaneous leads are positioned underneath the skin, recruits nerve fiber endings and axons in the cutaneous and subcutaneous layers, usually within a few centimeters of the electrodes. Traditional lead designs for spinal cord stimulation (SCS) are often used for PNFS. While these can provide adequate coverage, SCS systems have certain challenges when used in PNFS applications.
OVERVIEW
[0004]This overview is intended to provide an overview of subject matter of the present patent application. It is not intended to provide an exclusive or exhaustive explanation of the invention. The detailed description is included to provide further information about the present patent application.
[0005]The present inventor has recognized, among other things, that the subject matter can be used for stimulation of peripheral nerves. Peripheral nerves can be defined as branches of peripheral nerves, groups of peripheral nerves, and/or larger areas of individual nerves. The present inventor has further recognized, among other things, that the subject matter can be used for implantable peripheral nerve stimulation. To better illustrate the apparatuses, systems, and methods described herein, a non-limiting list of examples is provided here:
[0006]Example 1 can include subject matter that can include an apparatus configured for at least partial insertion in a living body. The apparatus includes an elongate lead body including a proximal lead end and a distal lead end. At least one connector is disposed proximate the proximal lead end. At least one flexible conductive surface is disposed at least partially around the lead body proximate the distal lead end. At least one conductor extends within the lead body from the at least one connector to the at least one flexible conductive surface.
[0007]In Example 2, the subject matter of Example 1 is optionally configured such that the at least one flexible conductive surface includes a mesh.
[0008]In Example 3, the subject matter of any one of Examples 1-2 is optionally configured such that the at least one flexible conductive surface includes a coil.
[0009]In Example 4, the subject matter of any one of Examples 1-3 is optionally configured such that the at least one flexible conductive surface is disposed completely around the lead body.
[0010]In Example 5, the subject matter of any one of Examples 1-4 is optionally configured such that the at least one flexible conductive surface includes a length between 1 cm and 20 cm.
[0011]In Example 6, the subject matter of any one of Examples 1-5 is optionally configured such that the at least one flexible conductive surface includes two or more flexible conductive surfaces.
[0012]In Example 7, the subject matter of Example 6 is optionally configured such that the two or more flexible conductive surfaces includes at least three flexible conductive surfaces, wherein a center flexible conductive surface includes a first length; a distal flexible conductive surface disposed distally on the elongate lead body from the center flexible conductive surface and including a second length; and a proximal flexible conductive surface disposed proximally on the elongate lead body from the center flexible conductive surface and including a third length. The second and third lengths are shorter than the first length.
[0013]In Example 8, the subject matter of Example 7 is optionally configured such that the at least three flexible conductive surfaces are longitudinally spaced along the elongate lead body from one another.
[0014]In Example 9, the subject matter of any one of Examples 7-8 is optionally configured such that the second length is substantially equal to the third length.
[0015]In Example 10, the subject matter of any one of Examples 7-9 is optionally configured such that the first length is 12-16 mm and the second length and the third length are each 7-11 mm.
[0016]In Example 11, the subject matter of any one of Examples 1-10 is optionally configured such that the at least one conductor extends within a lumen of the lead body.
[0017]In Example 12, the subject matter of any one of Examples 1-11 is optionally configured such that the at least one conductor includes two or more conductors, wherein one of the conductors is disposed within a first lumen of the lead body and another of the conductors is disposed within a second lumen of the lead body.
[0018]In Example 13, the subject matter of Example 12 is optionally configured such that the lead body includes a stylet lumen configured to accept a stylet within the stylet lumen.
[0019]Example 14 can include, or can optionally be combined with any one of Examples 1-13 to include subject matter that can include an apparatus configured for at least partial insertion in a living body. The apparatus includes an elongate lead body including a proximal lead end, a distal lead end, and a lumen within the lead body. A connector is disposed proximate the proximal lead end. A flexible conductive surface is disposed at least partially around the lead body proximate the distal lead end. A conductor extends within the lumen, the conductor extending from the connector to the flexible conductive surface.
[0020]In Example 15, the subject matter of Example 14 is optionally configured such that the flexible conductive surface includes a mesh.
[0021]In Example 16, the subject matter of any one of Examples 14-15 is optionally configured such that the flexible conductive surface includes a coil.
[0022]In Example 17, the subject matter of any one of Examples 14-16 optionally includes at least a second flexible conductive surface disposed at least partially around the lead body proximate the distal lead end.
[0023]Example 18 can include, or can optionally be combined with any one of Examples 1-17 to include subject matter that can include an apparatus configured for at least partial insertion in a living body. The apparatus includes an elongate lead body including a proximal lead end, a distal lead end, and at least one lumen within the lead body. At least one connector is disposed proximate the proximal lead end. At least one flexible conductive surface is disposed around the lead body proximate the distal lead end. At least one conductor extends within the at least one lumen, the at least one conductor extending from the at least one connector to the at least one flexible conductive surface. A stylet lumen is disposed within the lead body, the stylet lumen being configured to accept a stylet within the stylet lumen.
[0024]In Example 19, the subject matter of Example 18 is optionally configured such that the flexible conductive surface includes a mesh.
[0025]In Example 20, the subject matter of any one of Examples 18-19 is optionally configured such that the flexible conductive surface includes a coil.
BRIEF DESCRIPTION OF THE DRAWINGS
[0026]
[0027]
[0028]
[0029]
[0030]
[0031]
[0032]
[0033]
[0034]
DETAILED DESCRIPTION
[0035]The present patent document relates to apparatuses, systems, and methods for peripheral field stimulation. For instance, the apparatuses, systems, and methods of the present patent document are used, in some examples, to provide peripheral nerve field stimulation (PNFS) to extremities or other body segments. The present patent document relates to, among other things, stimulation of peripheral nerves. Peripheral nerves can be defined as branches of peripheral nerves, groups of peripheral nerves, and/or larger areas of individual nerves.
[0036]The present inventor has recognized, among other things, that it is desirable to have PNFS apparatuses, systems, and methods which include one or more flexible conductive surfaces. The present inventor has further recognized, among other things, that it is desirable to have PNFS apparatuses, systems, and methods configured to generate a broad field. The present inventor has further recognized, among other things, that it is desirable to have PNFS apparatuses, systems, and methods configured for placement in patient extremities or other body segments. It should be understood, however, that the subject matter described herein can be used with other implantable medical devices, as well as an external device in some examples.
[0037]Spinal cord stimulation (SCS) systems have certain challenges when used in PNFS applications. One challenge is that SCS lead contacts are usually only about 3 mm in length. This length was chosen for SCS as a good compromise between DC fiber selectivity, moderate impedance, enough focal current density, and ease of manufacturability. However, selectivity and focal current density are relatively unimportant in PNFS, as the stimulation goal is to generate as broad a field as is comfortably possible. Most SCS leads cover no more than 6 cm, and they do this by using contacts that are separated by several millimeters of insulator. Even when these leads are programmed with all the same polarity, the field near the contacts still undulates in space and this can promote activation of fibers near the contacts rather than further away. And, the moderate impedance that results from small SCS contacts is likely too high for PNFS.
[0038]Additionally, the contacts are typically rigid metallic cylinders, which can be useful in SCS to provide mechanical stability for lead positioning within the bony canal of the spine, as well as for a robust substrate for current/voltage delivery. In PNFS, however, electrode contact length and rigidity can make them difficult to position over curved body regions such as a leg or a skull, or around bony structures, and may promote skin erosion or lead breakage over time.
[0039]Finally, PNFS has been employed primarily in the trunk to treat overall back pain and this has been reasonably successful. What has not been addressed is that patients often have focal pain in extremities that would better benefit by deployment of PNFS stimulation in those regions. In addition, the power requirements of PNFS are similar to SCS, so the use of traditional SCS systems in extremity PNFS is challenged from both a stimulator size and power problem, i.e., the batteries have to be large enough to support the required stimulation power, yet such sizes cannot be implanted on the extremities because of anatomic, cosmesis, and comfort concerns.
[0040]What is needed includes stimulation systems, apparatuses, and methods that can provide PNFS to extremities using a stimulation system designed to meet the requirements of PNFS. To that end, and with reference to
[0041]Referring to
[0042]In some examples, the apparatus 100 includes an elongate lead body 102 including a proximal lead end 102A and a distal lead end 102B. In some examples, at least one connector 104 is disposed proximate the proximal lead end 102A. In some examples, the at least one connector 104 is configured to electrically couple to the stimulation device. In some examples, at least one flexible conductive surface 110 is disposed at least partially around the lead body 102 proximate the distal lead end 102B. In some examples, the at least one flexible conductive surface 110 is disposed completely around the lead body 102. The apparatus 100 further includes, in some examples, at least one conductor 106 extending within the lead body 102 from the at least one connector 104 to the at least one flexible conductive surface 110. In some examples, the at least one conductor 106 extends within a lumen 103 of the lead body 102.
[0043]In some examples, the apparatus 100 includes one flexible conductor 110. In other examples, the apparatus 100 includes two or more flexible conductive surfaces 110 separated by a distance. In some examples, the apparatus 100 includes a plurality of flexible conductive surfaces 110. In the example shown in
[0044]In some examples, the at least one flexible conductive surface 110 includes a mesh. In some examples, the at least one flexible conductive surface 110 is made of a metal mesh that envelopes the circumference of the lead body 102. In some embodiments, the mesh of the at least one flexible conductive surface 110 can include a ‘rough’ surface that increases the geometric surface area of the at least one flexible conductive surface 110. In some instances, this increased geometric surface area can reduce the resistance while increasing the reactance of the effective electrode of the at least one flexible conductive surface 110. By doing so, in some examples, the voltage to generate a specific current is reduced throughout the stimulation portion of the waveform, which can save battery power. In some examples, the mesh can include an arrangement of single cross-hatched, braided, or otherwise disposed or applied conductors; an arrangement of multistranded cross-hatched, braided, or otherwise disposed or applied conductors, and/or a variety of deposited thin film conductive elements, to name a few.
[0045]Referring to
[0046]In some examples, the apparatus 200 includes an elongate lead body 202 including a proximal lead end 202A and a distal lead end 202B. In some examples, at least one connector 204 is disposed proximate the proximal lead end 202A. In some examples, the at least one connector 204 is configured to electrically couple to the stimulation device. In some examples, at least one flexible conductive surface 210 is disposed at least partially around the lead body 202 proximate the distal lead end 202B. In some examples, the at least one flexible conductive surface 210 is disposed completely around the lead body 202. The apparatus 200 further includes, in some examples, at least one conductor 206 extending within the lead body 202 from the at least one connector 204 to the at least one flexible conductive surface 210. In some examples, the at least one conductor 206 extends within a lumen 203 of the lead body 202.
[0047]In some examples, the apparatus 200 includes one flexible conductor 210. In other examples, the apparatus 200 includes two or more flexible conductive surfaces 210 separated by a distance. In some examples, the apparatus 200 includes a plurality of flexible conductive surfaces 210. In the example shown in
[0048]In some examples, the at least one flexible conductive surface 210 includes a coil. In some examples, the at least one flexible conductive surface 210 is made of a coiled wire. In some examples, the coil can include an arrangement of single conductors; an arrangement of multistranded conductors, and/or a variety of deposited thin film conductive elements, to name a few. In some examples, the coil of the at least one flexible conductive surface 210 envelopes the circumference of the lead body 202. In some examples, the at least one flexible conductive surface 210 including a coil includes a benefit of increasing the geometric surface area relative to, for instance, a flat surface.
[0049]Referring to
[0050]In some examples, the apparatus 300 includes an elongate lead body 302 including a proximal lead end 302A and a distal lead end 302B. In some examples, at least one connector 304 is disposed proximate the proximal lead end 302A. In some examples, the at least one connector 304 is configured to electrically couple to the stimulation device. In some examples, a flexible conductive surface 310 is disposed at least partially around the lead body 302 proximate the distal lead end 302B. In some examples, the flexible conductive surface 310 is disposed completely around the lead body 302. The apparatus 300 further includes, in some examples, at least one conductor 306 extending within the lead body 302 from the at least one connector 304 to the flexible conductive surface 310. In some examples, the at least one conductor 306 extends within a lumen 303 of the lead body 302.
[0051]In some examples, the flexible conductive surface 310 includes a mesh. In some examples, the flexible conductive surface 310 is made of a metal mesh that envelopes the circumference of the lead body 302. In some embodiments, the mesh of the flexible conductive surface 310 can include a ‘rough’ surface that increases the geometric surface area of the flexible conductive surface 310. In some instances, this increased geometric surface area can reduce the resistance while increasing the reactance of the effective electrode of the flexible conductive surface 310. By doing so, in some examples, the voltage to generate a specific current is reduced throughout the stimulation portion of the waveform, which can save battery power. In some examples, the mesh can include an arrangement of single cross-hatched, braided, or otherwise disposed or applied conductors; an arrangement of multistranded cross-hatched, braided, or otherwise disposed or applied conductors, and/or a variety of deposited thin film conductive elements, to name a few. In other examples, the flexible conductive surface can include a coil, for instance, similar to the at least one flexible conductive surface 210 described herein. In some examples, the coil can include an arrangement of single conductors; an arrangement of multistranded conductors, and/or a variety of deposited thin film conductive elements, to name a few. In some examples, the apparatus 300 includes one relatively long flexible conductor per lead body 302. In some examples, the flexible conductive surface 310 includes a length between 1 cm and 20 cm along the lead body 302. In some examples, this has the advantage of relatively simple manufacture as well as simple programming. Additionally, in some examples, when programmed with a single polarity, this unbroken isopotential surface can reduce the undulating field that occurs when separated contacts are used, such as found on traditional SCS-type leads that have spaced-apart contacts, as seen in
[0052]Referring to
[0053]In some examples, the apparatus 600 includes an elongate lead body 602 including a proximal lead end 602A′, 602A″ and a distal lead end 602B. In some examples, at least one connector 604′ is disposed proximate the proximal lead end 602A′. In some examples, the at least one connector 604′ includes a plug-like connector for engagement with the stimulation device. In other examples, the connector 604″ includes one or more contacts 605″ disposed in-line longitudinally along the lead body 602 proximate the proximal lead end 602A″ of the lead body 602. In some examples, the at least one connector 604′, 604″ is configured to electrically couple to the stimulation device. In some examples, a plurality of flexible conductive surfaces 610 is disposed at least partially around the lead body 602 proximate the distal lead end 602B. In some examples, the plurality of flexible conductive surfaces 610 is disposed completely around the lead body 602. The apparatus 600 further includes, in some examples, at least one conductor 606 extending within the lead body 602 from the at least one connector 604′, 604″ to the plurality of flexible conductive surfaces 610. In some examples, the at least one conductor 606 extends within a lumen 603 of the lead body 602.
[0054]In some examples, the apparatus 600 includes at least three flexible conductive surfaces including a center flexible conductive surface 610A including a first length, a distal flexible conductive surface 610B disposed distally on the elongate lead body 602 from the center flexible conductive surface 610A and including a second length, and a proximal flexible conductive surface 610C disposed proximally on the elongate lead body 602 from the center flexible conductive surface 610A and including a third length. In some examples, the second and third lengths of the being shorter than the first length. In some examples, the at least three flexible conductive surfaces 610A, 610B, 610C are longitudinally spaced along the elongate lead body 602 from one another. In some examples, the second length is substantially equal to the third length. In some examples, the first length is about 12-16 mm and the second length and the third length are each about 7-11 mm. In some examples, the flexible conductive surfaces 610 are longitudinally spaced along the lead body 602. In some examples, spacing between each of the flexible conductive surfaces 610 is substantially similar. In other examples, spacing between each of the flexible conductive surfaces 610 varies.
[0055]In some examples, the flexible conductive surfaces 610 have different lengths along the lead body 602. In the example shown in
[0056]In some examples, this decreasing length-from-center pattern is done to have the current density delivered from the lead be grossly-but-evenly distributed along the array length when connected to a simple single source (voltage or current) stimulation system. This allows for redistribution of current density “hot spots,” which occur near the edge of a single conductive surface, as seen in
[0057]In some examples, the apparatus 600 can include more or fewer than seven flexible conductive surfaces 610. In some examples, the apparatus 600 can include flexible conductive surfaces 610 of various lengths tailored to the particular application for which the apparatus 600 is being used. As such, it is contemplated in various examples, that the flexible conductive surfaces 610 can include any combination of lengths desired for peripheral nerve stimulation.
[0058]In some examples, each of the flexible conductive surfaces 610 includes a mesh. In some examples, each of the flexible conductive surfaces 610 is made of a metal mesh that envelopes the circumference of the lead body 602. In some embodiments, the mesh of each of the flexible conductive surfaces 610 can include a ‘rough’ surface that increases the geometric surface area of each of flexible conductive surfaces 610. In some instances, this increased geometric surface area can reduce the resistance while increasing the reactance of the effective electrode of each of the flexible conductive surfaces 610. By doing so, in some examples, the voltage to generate a specific current is reduced throughout the stimulation portion of the waveform, which can save battery power. In some examples, the mesh can include an arrangement of single crosshatched, braided, or otherwise disposed or applied conductors; an arrangement of multistranded crosshatched, braided, or otherwise disposed or applied conductors, and/or a variety of deposited thin film conductive elements, to name a few. In other examples, each of the flexible conductive surfaces can include a coil, for instance, similar to the at least one flexible conductive surface 210 described herein. In some examples, the coil can include an arrangement of single conductors; an arrangement of multistranded conductors, and/or a variety of deposited thin film conductive elements, to name a few.
[0059]Referring to
[0060]Referring to
[0061]It is noted that, while the present figures portray example leads with flexible conductive surfaces having a greater diameter than the respective lead bodies, in other examples, it is contemplated that the flexible conductive surfaces have substantially the same diameter as the respective lead bodies, making the leads isodiametric.
[0062]In some examples, the lead (for instance, any of the apparatuses 100, 200, 300, 600, 900A, 900B, 900C) has a relative small diameter, ranging between about 0.1 mm and about 1 mm. In some examples, this allows for better ability to place and position the lead over areas with thin regions of soft tissue, such as the skull, for instance, improving cosmesis as well as reducing the likelihood of erosion. In some embodiments, the lead body 102, 202, 302, 602 is made of a biocompatible polymer, which is flexible and durable within the body. In some examples, this can be advantageous for extremities, which are typically in motion and undergo shape changes and make frequent contact with the outside world during activities of daily living.
[0063]In various examples described herein, it is contemplated that peripheral nerves may be directly targeted to mitigate chronic pain of limbs, for instance. The various flexible conductive surfaces 110, 210, 310, 610 described herein allow for increased flexibility of the respective lead bodies 102, 202, 302, 602, allowing for better body conformance, increased comfort, decreased skin erosion, and the like. Additionally, the various flexible conductive surfaces 110, 210, 310, 610 described herein allow for increased contact, leading to more effective and efficient use of power, which, in some examples, can be advantageous due to the desired smaller size of components. In some examples, the various flexible conductive surfaces 110, 210, 310, 610 described herein allow for stimulation of a relatively wide area with relatively low power needed to do so.
[0064]The present inventor has recognized various advantages of the subject matter described herein. For instance, in some examples, the apparatuses, systems, and methods described herein can be used to better provide PNFS using one or more flexible conductive surfaces. In various examples, the apparatuses, systems, and methods described herein are considered advantageous in that they allow for generation of a broad field to provide better PNFS. Additionally, in various examples, the apparatuses, systems, and methods described herein include PNFS apparatuses, systems, and methods sized, shaped, or otherwise configured for placement in patient extremities or other body segments. While various advantages of the example apparatuses, systems, and methods are listed herein, this list is not considered to be complete, as further advantages may become apparent from the description and figures presented herein.
[0065]Although the subject matter of the present patent application has been described with reference to various examples, workers skilled in the art will recognize that changes can be made in form and detail without departing from the scope of the subject matter recited in the below claims.
[0066]The above Detailed Description includes references to the accompanying drawings, which form a part of the Detailed Description. The drawings show, by way of illustration, specific examples in which the present apparatuses and methods can be practiced. These embodiments are also referred to herein as “examples.”
[0067]The above Detailed Description is intended to be illustrative, and not restrictive. For example, the above-described examples (or one or more elements thereof) can be used in combination with each other. Other embodiments can be used, such as by one of ordinary skill in the art upon reviewing the above description. Also, various features or elements can be grouped together to streamline the disclosure. This should not be interpreted as intending that an unclaimed disclosed feature is essential to any claim. Rather, inventive subject matter can lie in less than all features of a particular disclosed embodiment. Thus, the following claims are hereby incorporated into the Detailed Description, with each claim standing on its own as a separate embodiment. The scope of the invention should be determined with reference to the appended claims, along with the full scope of equivalents to which such claims are entitled.
[0068]In this document, the terms “a” or “an” are used to include one or more than one, independent of any other instances or usages of “at least one” or “one or more.” In this document, the term “or” is used to refer to a nonexclusive or, such that “A or B” includes “A but not B,” “B but not A,” and “A and B,” unless otherwise indicated. In this document, the terms “about” and “approximately” or similar are used to refer to an amount that is nearly, almost, or in the vicinity of being equal to a stated amount.
[0069]In the appended claims, the terms “including” and “in which” are used as the plain-English equivalents of the respective terms “comprising” and “wherein.” Also, in the following claims, the terms “including” and “comprising” are open-ended, that is, an apparatus or method that includes elements in addition to those listed after such a term in a claim are still deemed to fall within the scope of that claim. Moreover, in the following claims, the terms “first,” “second,” and “third,” etc. are used merely as labels, and are not intended to impose numerical requirements on their objects.
[0070]The Abstract is provided to allow the reader to quickly ascertain the nature of the technical disclosure. It is submitted with the understanding that it will not be used to interpret or limit the scope or meaning of the claims.
Claims
1. An apparatus configured for at least partial insertion in a living body, the apparatus comprising:
an elongate lead body including a proximal lead end and a distal lead end;
at least one connector disposed proximate the proximal lead end;
at least one flexible conductive surface disposed at least partially around the lead body proximate the distal lead end; and
at least one conductor extending within the lead body from the at least one connector to the at least one flexible conductive surface.
2. The apparatus of
3. The apparatus of
4. The apparatus of
5. The apparatus of
6. The apparatus of
7. The apparatus of
a center flexible conductive surface includes a first length;
a distal flexible conductive surface disposed distally on the elongate lead body from the center flexible conductive surface and including a second length; and
a proximal flexible conductive surface disposed proximally on the elongate lead body from the center flexible conductive surface and including a third length, the second and third lengths being shorter than the first length.
8. The apparatus of
9. The apparatus of
10. The apparatus of
11. The apparatus of
12. The apparatus of
13. The apparatus of
14. An apparatus configured for at least partial insertion in a living body, the apparatus comprising:
an elongate lead body including a proximal lead end, a distal lead end, and a lumen within the lead body;
a connector disposed proximate the proximal lead end;
a flexible conductive surface disposed at least partially around the lead body proximate the distal lead end; and
a conductor extending within the lumen, the conductor extending from the connector to the flexible conductive surface.
15. The apparatus of
16. The apparatus of
17. The apparatus of
18. An apparatus configured for at least partial insertion in a living body, the apparatus comprising:
an elongate lead body including a proximal lead end, a distal lead end, and at least one lumen within the lead body;
at least one connector disposed proximate the proximal lead end;
at least one flexible conductive surface disposed around the lead body proximate the distal lead end;
at least one conductor extending within the at least one lumen, the at least one conductor extending from the at least one connector to the at least one flexible conductive surface; and
a stylet lumen disposed within the lead body, the stylet lumen configured to accept a stylet within the stylet lumen.
19. The apparatus of
20. The apparatus of