System for Determining Nerve Direction to a Surgical Instrument
20210251557 · 2021-08-19
Inventors
- Allen Farquhar (Portland, OR, US)
- James E. Gharib (San Diego, CA, US)
- Norbert Kaula (Arvada, CO, US)
- Jeffrey J. Blewett (San Diego, CA, US)
Cpc classification
A61B5/05
HUMAN NECESSITIES
International classification
A61B5/00
HUMAN NECESSITIES
A61B5/05
HUMAN NECESSITIES
Abstract
A system for performing surgical procedures and assessments. The system includes the use of neurophysiology-based monitoring to determine nerve proximity and nerve direction to surgical instruments employed in accessing a surgical target site.
Claims
1. A method comprising: providing one or more electrical stimulation signals with a first stimulation electrode until a first initial bracket within which a first threshold stimulation current level lies is determined based on detecting a response of a nerve depolarized by the one or more electrical stimulation signals provided by the first simulation electrode; providing one or more electrical stimulation signals with a second stimulation electrode until a second initial bracket within which a second threshold stimulation current level lies is determined based on detecting a response of a nerve depolarized by the one or more electrical stimulation signals provided by the second stimulation electrode; narrowing the first initial bracket to a first final bracket in which the first threshold stimulation current level lies; narrowing the second initial bracket to a second final bracket in which the second threshold stimulation current level lies; determine an arc indicating general direction of a nerve relative to a surgical instrument using the first initial bracket, the second initial bracket, wherein determining a length of the arc is based on: the first threshold stimulation current level; and the second threshold stimulation current level; and indicating a general direction of a nerve relative to a surgical instrument by displaying the arc.
2. The method of claim 1, further comprising: advancing the surgical instrument through tissue to create an operative corridor to a spinal surgical target site via a lateral, trans-psoas approach.
3. The method of claim 1, further comprising: displaying an electromyographic (EMG) response of a muscle.
4. The method of claim 1, further comprising: providing one or more electrical stimulation signals with a third stimulation electrode; providing one or more electrical stimulation signals with a fourth stimulation electrode.
5. The method of claim 4, wherein the first, second, third, and fourth stimulation electrodes are positioned orthogonally to form a cross.
6. The method of claim 4, deriving x and y Cartesian coordinates of the general direction of the nerve.
7. The method of claim 6, further comprising: deriving the x Cartesian coordinate based on a difference between a threshold stimulation current associated with the first stimulation electrode and the second stimulation electrode; and deriving the y Cartesian coordinate based on a difference between a threshold stimulation current associated with the third stimulation electrode and the fourth stimulation electrodes.
8. The method of claim 6, further comprising: deriving the x Cartesian coordinate based on a difference between squared threshold stimulation current associated with the first and second electrodes; and deriving the x Cartesian coordinate based on a difference between squared threshold stimulation current associated with the third and fourth electrodes.
9. The method of claim 4, further comprising: determining a three-dimensional vector from a reference point to the nerve; and displaying a representation of the three-dimensional vector.
10. The method of claim 9, further comprising: determining the three-dimensional vector using:
i.sub.c=1/4(i.sub.w+i.sub.e+i.sub.s+i.sub.n)−KR.sup.2.
11. A method comprising: providing a first surgical accessory having at least a first stimulation electrode on a distal region and a second stimulation electrode at a second region; providing at least one sensor configured to detect an evoked response from nerve tissue depolarized by electrical stimulation; electrically stimulating the first stimulation electrode with a first set of at least one electrical stimulation signal until a first initial bracket within which a first threshold stimulation current level must lie is determined; electrically stimulating the second stimulation electrode with a second set of at least one electrical stimulation signal until a second initial bracket within which a second threshold stimulation current level must lie is determined; processing the determined first and second initial brackets to find the direction of a nerve from the surgical accessory, including: determining the first threshold stimulation current level by narrowing the first initial bracket to a first final bracket; and determining the second threshold stimulation current level by narrowing the second initial bracket to a second final bracket; displaying an arc indicating a general direction of the nerve from the surgical accessory, the general direction based on the determinations of the first initial bracket and the second initial bracket; and narrowing a length of the arc based on the determinations of the first threshold stimulation current level and the second threshold stimulation current level, the length of the arc being at least partially indicative of the direction of the nerve from the surgical accessory.
12. The method of claim 11, further comprising: advancing the first surgical accessory through tissue to create an operative corridor to a surgical target site of a spine via a lateral, trans-psoas approach.
13. The method of claim 11, slidably placing a K-wire within the surgical accessory.
14. The method of claim 11, further comprising: actuating a button of a handle coupled to the first surgical accessory, wherein the one or more electrical stimulation signals are provided responsive to the actuating.
15. The method of claim 11, further comprising: electrically stimulating the first stimulation electrode with a first electrical stimulation signal of the first set of at least one electrical stimulation signal; determining whether the first threshold stimulation current level has been bracketed, stimulating the second stimulation electrode with a second electrical stimulation signal of the first set of at least one electrical stimulation signal and determine whether the second threshold stimulation current level has been bracketed.
16. The method of claim 11, wherein the first and second electrical stimulation signals are equal.
17. The method of claim 11, further comprising: electrically stimulating the first and second stimulation electrodes to bisect each of the first and second initial brackets until the first threshold stimulation current level has been found for the first stimulation electrode and the second threshold stimulation current level has been found for the second stimulation electrode within a predetermined range of accuracy.
18. The method of claim 11, further comprising: emitting a sound responsive to a distance between the first surgical accessory and the nerve reaching a predetermined level.
19. The method of claim 11, further comprising: determining the first initial bracket and second initial bracket by detecting a response of the nerve depolarized by the first set of at least one electrical stimulation signal and a second set of at least one electrical stimulation signal.
20. The method of claim 11, further comprising: electrically stimulating a third stimulation electrode with a third set of at least one stimulation signal until a third initial bracket within which a third threshold stimulation current level must lie is determined; electrically stimulating a fourth stimulation electrode until a fourth initial bracket within which a fourth threshold stimulation current level must lie is determined; processing the determined third and fourth initial brackets to find the direction of the nerve, including: determining the third threshold stimulation current level by narrowing the third initial bracket to a third final bracket; and determining the fourth threshold stimulation current level by narrowing the fourth initial bracket to a fourth final bracket; displaying a second arc indicating the direction of the nerve, the direction based on the determinations of said third initial bracket and said fourth initial bracket; and narrowing a length of the displayed second arc based on the determinations of said third threshold stimulation current level and said fourth threshold stimulation current level.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION
[0053] Illustrative embodiments of the application are described below. In the interest of clarity, not all features of an actual implementation are described in this specification. It will of course be appreciated that in the development of any such actual embodiment, numerous implementation-specific decisions must be made to achieve the developers' specific goals, such as compliance with system-related and business-related constraints, which will vary from one implementation to another. Moreover, it will be appreciated that such a development effort might be complex and time-consuming, but would nevertheless be a routine undertaking for those of ordinary skill in the art having the benefit of this disclosure. The systems disclosed herein boast a variety of inventive features and components that warrant patent protection, both individually and in combination.
[0054]
[0055] The act of providing multiple (e.g., four orthogonally-disposed) electrodes around the periphery of the surgical access instrument may be accomplished in any number of suitable fashions depending upon the surgical access instrument in question. For example, the electrodes may be disposed orthogonally on any or all components of a sequential dilation system (including an initial dilator, dilating cannulae, and working cannula), as well as speculum-type and/or retractor-based access systems, as disclosed in the co-pending, co-assigned May, 2002 U.S Provisional application incorporated above. The act of stimulating may be accomplished by applying any of a variety of suitable stimulation signals to the electrode(s) on the surgical accessory, including voltage and/or current pulses of varying magnitude and/or frequency. The stimulating act may be performed during and/or after the process of creating an operative corridor to the surgical target site.
[0056] The act of determining the direction of the surgical access instrument relative to the nerve via successive approximation is preferably performed by monitoring or measuring the EMG responses of muscle groups associated with a particular nerve and innervated by the nerve(s) stimulated during the process of gaining surgical access to a desired surgical target site.
[0057] The act of communicating this successive approximation information to the surgeon in an easy-to-interpret fashion may be accomplished in any number of suitable fashions, including but not limited to the use of visual indicia (such as alpha-numeric characters, light-emitting elements, and/or graphics) and audio communications (such as a speaker element). By way of example only, this may include providing an arc or other graphical representation that indicates the general direction to the nerve. The direction indicator may quickly start off relatively wide, become successively more narrow (based on improved accuracy over time), and may conclude with a single arrow designating the relative direction to the nerve.
[0058] The direction indicator may be an important feature. By providing such direction information, a user will be kept informed as to whether a nerve is too close to a given surgical accessory element during and/or after the operative corridor is established to the surgical target site. This is particularly advantageous during the process of accessing the surgical target site in that it allows the user to actively avoid nerves and redirect the surgical access components to successfully create the operative corridor without impinging or otherwise compromising the nerves.
[0059] Based on this nerve direction feature, then, an instrument is capable of passing through virtually any tissue with minimal (if any) risk of impinging or otherwise damaging associated neural structures within the tissue, thereby making the system suitable for a wide variety of surgical applications.
[0060]
[0061] The control unit 22 includes a touch screen display 40 and a base 42, which collectively contain the essential processing capabilities (software and/or hardware) for controlling the surgical system 20. The control unit 22 may include an audio unit 18 that emits sounds according to a location of a surgical element with respect to a nerve, as described herein.
[0062] The patient module 24 is connected to the control unit 22 via a data cable 44, which establishes the electrical connections and communications (digital and/or analog) between the control unit 22 and patient module 24. The main functions of the control unit 22 include receiving user commands via the touch screen display 40, activating stimulation electrodes on the surgical access instruments 30, processing signal data according to defined algorithms (described below), displaying received parameters and processed data, and monitoring system status and report fault conditions. The touch screen display 40 is preferably equipped with a graphical user interface (GUI) capable of communicating information to the user and receiving instructions from the user. The display 40 and/or base 42 may contain patient module interface circuitry (hardware and/or software) that commands the stimulation sources, receives digitized signals and other information from the patient module 24, processes the EMG responses to extract characteristic information for each muscle group, and displays the processed data to the operator via the display 40.
[0063] In one embodiment, the surgical system 20 is capable of determining nerve direction relative to each K-wire 46, dilation cannula 48 and/or the working cannula 50 during and/or following the creation of an operative corridor to a surgical target site. Surgical system 20 accomplishes this by having the control unit 22 and patient module 24 cooperate to send electrical stimulation signals to each of the orthogonally-disposed stimulation electrodes 1402A-1402D (
[0064] The sequential dilation surgical access system 34 is designed to bluntly dissect the tissue between the patient's skin and the surgical target site. Each K-wire 46, dilating cannula 48 and/or working cannula 50 may be equipped with multiple (e.g., four orthogonally-disposed) stimulation electrodes to detect the location of nerves in between the skin of the patient and the surgical target site. To facilitate this, a surgical hand-piece 52 is provided for electrically coupling the surgical accessories 46-50 to the patient module 24 (via cable 32). In a preferred embodiment, the surgical hand piece 52 includes one or more buttons for selectively initiating the stimulation signal (preferably, a current signal) from the control unit 22 to a particular surgical access instrument 46-50. Stimulating the electrode(s) on these surgical access instruments 46-50 during passage through tissue in forming the operative corridor will cause nerves that come into close or relative proximity to the surgical access instruments 46-50 to depolarize, producing a response in the innervated myotome.
[0065] By monitoring the myotomes associated with the nerves (via the EMG harness 26 and recording electrode 27) and assessing the resulting EMG responses (via the control unit 22), the sequential dilation access system 34 is capable of detecting the direction to such nerves. Direction determination provides the ability to actively negotiate around or past such nerves to safely and reproducibly form the operative corridor to a particular surgical target site. In one embodiment, by way of example only, the sequential dilation access system 34 is particularly suited for establishing an operative corridor to an intervertebral target site in a postero-lateral, trans-psoas fashion so as to avoid the bony posterior elements of the spinal column.
[0066] A discussion of the algorithms and principles behind the neurophysiology for accomplishing these functions will now be undertaken, followed by a detailed description of the various implementations of these principles.
[0067]
[0068] A basic premise behind the neurophysiology employed by the system 20 is that each nerve has a characteristic threshold current level (I.sub.Thresh) at which it will depolarize. Below this threshold, current stimulation will not evoke a significant EMG response (V.sub.pp). Once the stimulation threshold (I.sub.Thresh) is reached, the evoked response is reproducible and increases with increasing stimulation until saturation is reached. This relationship between stimulation current and EMG response may be represented graphically via a so-called “recruitment curve,” such as shown in
[0069] In order to obtain this useful information, the system 20 should first identify the peak-to-peak voltage (Vpp) of each EMG response that corresponds to a given stimulation current (I.sub.stim). The existence of stimulation and/or noise artifacts, however, can conspire to create an erroneous Vpp measurement of the electrically evoked EMG response. To overcome this challenge, the surgical system 20 may employ any number of suitable artifact rejection techniques. Having measured each Vpp EMG response (as facilitated by the stimulation and/or noise artifact rejection techniques), this Vpp information is then analyzed relative to the stimulation current in order to determine a relationship between the nerve and the given electrode on the surgical access instrument 46-50 transmitting the stimulation current. More specifically, the system 20 determines these relationships (between nerve and surgical accessory) by identifying the minimum stimulation current (I.sub.Thresh) capable of producing a predetermined Vpp EMG response.
[0070] I.sub.Thresh may be determined for each of the four orthogonal electrodes 1402A-1402D (
[0071] Arc Method
[0072] In one embodiment, successive directional information may take the form of an arc or wedge (or range) representing a zone that contains the nerve, according to an “arc” method described below. This successive directional information is based on stimulation current threshold “ranges,” and may be displayed (
[0073] In the bracketing process, an electrical stimulus is provided at each of the four orthogonal electrodes 1402A-1402D (
[0074] As shown in
[0075] This successive approximation information may be communicated to the surgeon in a number of easy-to-interpret fashions, including but not limited to the use of visual indicia (such as alpha-numeric characters, light-emitting elements, and/or graphics, as in
[0076] There are a number of possibilities for displaying the arc information. An arc or wedge might be displayed. Alternatively, an arrow might point to the midpoint of the arc. Another indicator might be used to illustrate the width of the arc (i.e. the uncertainty remaining in the result).
[0077] Upon completion of the bracketing process, a bisection process may determine more precisely the stimulation current thresholds. As with the bracketing process, current stimulations may be “rotated” among the stimulation electrodes so that the thresholds are refined substantially in parallel, according to the “arc” method. As with the bracketing method, the arc (wedge) 1502 containing the final direction vector may be computed and displayed (
[0078] The above-identified two-part hunting-algorithm may be further explained with reference to
[0079] The size of the brackets may then be reduced by a bisection method. A current stimulation value at the midpoint of the bracket is used, and if this results in a Vpp that is above Vthresh, then the lower half becomes the new bracket. Likewise, if the midpoint Vpp is below Vthresh, then the upper half becomes the new bracket. This bisection method is used until the bracket size has been reduced to I.sub.ThreshmA. I.sub.Thresh may be selected as a value falling within the bracket, but is preferably defined as the midpoint of the bracket.
[0080] The threshold-hunting algorithm of this embodiment may support three states: bracketing, bisection, and monitoring. A “stimulation current bracket” is a range of stimulation currents that bracket the stimulation current threshold I.sub.Thresh. The width of a bracket is the upper boundary value minus the lower boundary value. If the stimulation current threshold I.sub.Thresh of a channel exceeds the maximum stimulation current, that threshold is considered out-of-range. During the bracketing state, threshold hunting will employ the method described herein to select stimulation currents and identify stimulation current brackets for each EMG channel in range.
[0081] The initial bracketing range may be provided in any number of suitable ranges. In one embodiment, the initial bracketing range is 0.2 to 0.3 mA. If the upper stimulation current does not evoke a response, the upper end of the range should be increased. For example, the range scale factor may be 2. The stimulation current should preferably not be increased by more than 10 mA in one iteration. The stimulation current should preferably never exceed a programmed maximum stimulation current (to prevent nerve damage, injury or other undesirable effects). For each stimulation, the algorithm will examine the response of each active channel to determine whether the stimulation current falls within that bracket. Once the stimulation current threshold of each channel has been bracketed, the algorithm transitions to the bisection state.
[0082] During the bisection state (
[0083] During the monitoring state (
[0084] A method for computing the successive arc/wedge directional information from stimulation current threshold range information is described. The stimulation current threshold is presumed to be proportional to a distance to the nerve. The nerve may be modeled as a single point. Since stimulation current electrodes are in an orthogonal array, calculation of the X- and Y-dimension components of the direction vector may proceed independently. With reference to
x=i.sub.w.sup.2−i.sub.e.sup.2y=i.sub.s.sup.2−i.sub.n.sup.2 (1)
where i.sub.e, i.sub.w, i.sub.n, and is represent the stimulation current thresholds for the east, west, north, and south electrodes 802B, 802D, 802A, 802C, respectively. (The equations may be normalized to an arbitrary scale for convenience.)
[0085] As the threshold hunting method begins, the stimulation current thresholds are known only within a range of values. Therefore, the X- and Y-dimension components are known only within a range. This method provides an extension to the previous definitions, as follows:
x.sub.min=i.sub.w,min.sup.2−i.sub.e,max.sup.2x.sub.max=i.sub.w,max.sup.2−i.sub.e,min.sup.2y.sub.min=i.sub.s,min.sup.2−i.sub.n,max.sup.2y.sub.max=i.sub.s,max.sup.2−i.sub.n,min.sup.2 (2)
Just as i.sub.e,min and i.sub.e,max bracket i.sub.e, x and y are bracketed by [x.sub.min, x.sub.max] and [y.sub.min, y.sub.max]. Stated another way, the point (x,y) lies within a rectangle 900 described by these boundaries, as shown in
[0086] The arc method may have several advantages. First, the arc is capable of narrowing in a relatively quick fashion as more stimulations and responses are analyzed. This method provides general directional information much faster than if the current threshold for each electrode 1402 was determined before moving on the next electrode 1402. With general directional information, it may be possible to terminate the stimulation before having the ultimate precision of the stimulation current vectors. This will result in a faster response, in many instances. The arc method may provide a real-time view of the data-analysis. This helps illustrate the value of additional stimulations to a user. This educates and empowers the user. The user can observe the progress of this method, which aids in the understanding of the time the system 20 takes to converge on the final direction vector. More frequent display updates help time “go faster” for the user. This method avoids a long pause that might seem even longer. Disclosure of the intermediate acts (narrowing arcs) in the process of finding the direction vector invites mutual trust between the user and the access system 30. An arc may provide a more intuitive visualization for neural tissue than a direction vector.
[0087] The arc method may also be useful in tracking direction as the instrument and stimulation electrodes move relative to the nerve. For example, if the uncertainty in the stimulation current threshold increases, this can be reflected in an increasing arc size.
[0088] The sequential dilation access system 34 (
[0089] In one embodiment, the surgical system 20 accomplishes this through the use of the surgical hand-piece 52, which may be electrically coupled to the K-wire 46 via a first cable connector 51a, 51b and to either the dilating cannula 48 or the working cannula 50 via a second cable connector 53a, 53b. For the K-wire 46 and working cannula 50, cables are directly connected between these accessories and the respective cable connectors 51a, 53a for establishing electrical connection to the stimulation electrode(s). In one embodiment, a pincher or clamp-type device 57 is provided to selectively establish electrical communication between the surgical hand-piece 52 and the stimulation electrode(s) on the distal end of the cannula 48. This is accomplished by providing electrical contacts on the inner surface of the opposing arms forming the clamp-type device 57, wherein the contacts are dimensioned to be engaged with electrical contacts (preferably in a male-female engagement scenario) provided on the dilating cannula 48 and working cannula 50. The surgical hand-piece 52 includes one or more buttons such that a user may selectively direct a stimulation current signal from the control unit 22 to the electrode(s) on the distal ends of the surgical access components 46-50. In an important aspect, each surgical access component 46-50 is insulated along its entire length, with the exception of the electrode(s) at their distal end. In the case of the dilating cannula 48 and working cannula 50, the electrical contacts at their proximal ends for engagement with the clamp 57 are not insulated. The EMG responses corresponding to such stimulation may be monitored and assessed in order to provide nerve proximity and/or nerve direction information to the user.
[0090] When employed in spinal procedures, for example, such EMG monitoring would preferably be accomplished by connecting the EMG harness 26 to the myotomes in the patient's legs corresponding to the exiting nerve roots associated with the particular spinal operation level (see
TABLE-US-00001 TABLE 1 Channel Color ID Myotome Spinal Level Blue Right 1 Right Vastus Medialis L2, L3, L4 Violet Right 2 Right Tibialis Anterior L4, L5 Grey Right 3 Right Biceps Femoris L5, S1, S2 White Right 4 Right Gastroc. Medial S1, S2 Red Left 1 Left Vastus Medialis L2, L3, L4 Orange Left 2 Left Tibialis Anterior L4, L5 Yellow Left 3 Left Biceps Femoris L5, S1, S2 Green Left 4 Left Gastroc. Medial S1, S2
[0091]
[0092] In another embodiment, the K-wire 46 and dilating cannula 48 in
[0093] In the embodiment shown, the trajectory of the K-wire 46 and initial dilator 48A is such that they progress towards an intervertebral target site in a postero-lateral, trans-psoas fashion so as to avoid the bony posterior elements of the spinal column. Once the K-wire 46 is docked against the annulus of the particular intervertebral disk, cannulae of increasing diameter 48B-48D may then be guided over the previously installed cannula 48A (sequential dilation) until a desired lumen diameter is installed, as shown in
[0094] Once a nerve is detected using the K-wire 46, dilating cannula 48, or the working cannula 50, the surgeon may select the DIRECTION function to determine the angular direction to the nerve relative to a reference mark on the access components 46-50, as shown in
[0095] Where the “circles” in
[0096] Where R is the cannula radius, standardized to 1, since angles and not absolute values are measured.
[0097] After conversion from Cartesian coordinates (x,y) to polar coordinates (r,θ), then θ is the angular direction to the nerve. This angular direction may then be displayed to the user, by way of example only, as the arrow 90 shown in
[0098] After establishing an operative corridor to a surgical target site via the surgical access system 34, any number of suitable instruments and/or implants may be introduced into the surgical target site depending upon the particular type of surgery and surgical need. By way of example only, in spinal applications, any number of implants and/or instruments may be introduced through the working cannula 50, including but not limited to spinal fusion constructs (such as allograft implants, ceramic implants, cages, mesh, etc.), fixation devices (such as pedicle and/or facet screws and related tension bands or rod systems), and any number of motion-preserving devices (including but not limited to total disc replacement systems).
[0099] Segregating the Geometric and Electrical Direction Algorithm Models
[0100] There are other relationships resulting from the symmetry of the four electrodes described above:
d.sub.w.sup.2+d.sub.e.sup.2=d.sub.s.sup.2+d.sub.n.sup.2 (1)
and
d.sub.0.sup.2+R.sup.2=1/4(d.sub.w.sup.2+d.sub.e.sup.2+d.sub.s.sup.2+d.sub.n.sup.2) (2)
where d.sub.0 is the distance between the nerve activation site and the midpoint between the electrodes (i.e., the origin (0, 0) or “virtual center”). These results are based purely on geometry and apply independent of an electrical model.
[0101] As described above under the “arc” method, the geometric model can be extended to define a region of uncertainty based on the uncertainty in the distance to the nerve:
[0102] In
Generalized 1-D Model
[0103]
[0104] The 1-D model can be extended to two or three dimensions by the addition of electrodes.
3-D Geometric Model
[0105] Using the four co-planar electrodes (
[0106] 3-D direction to the nerve is possible by comparing the distance to the nerve activation site from the k-wire electrode 2300 to that of the other electrodes.
where d.sub.0 (as noted above) is the distance between the nerve activation site and the midpoint between the electrodes (i.e., the origin (0, 0) or “virtual center”), and d.sub.k is the distance between the nerve activation site and the k-wire electrode 2300. 3-D direction is possible by converting from Cartesian (x, y, z) to spherical (ρ, θ, φ) coordinates. The arc method described above may also be extended to three dimensions. Other 3-D geometric models may be constructed. One possibility is to retain the four planar electrodes 1402A-1402D and add a fifth electrode 1404 along the side of the cannula 1400, as shown in
[0107] Another possibility is to replace the four planar electrodes 2502A-2502D with two pairs (e.g., vertices of a tetrahedron), as shown in
Electric Model
[0108] The direction algorithm described above assumes direct proportionality between distance and the stimulation current threshold, as in equation (2).
i.sub.th=Kd (6)
where i.sub.th is the threshold current, K is a proportionality constant denoting a relationship between current and distance, and d is the distance between an electrode and a nerve.
[0109] An alternative model expects the stimulation current threshold to increase with the square of distance:
i.sub.th=i.sub.0+Kd.sup.2 (7)
[0110] Using the distance-squared model, the Cartesian coordinates for the nerve activation site can be derived from equations (5), (7) and the following:
[0111] where i.sub.x is the stimulation current threshold of the corresponding stimulation electrode (west, east, south or north), ik is the stimulation current threshold of the k-wire electrode 2602A (
i.sub.c+KR.sup.2=1/4(i.sub.w+i.sub.e+i.sub.s+i.sub.n) (9)
[0112] Other sets of equations may be similarly derived for alternative electrode geometries. Note that in each case, i.sub.0 is eliminated from the calculations. This suggests that the absolute position of the nerve activation site relative to the stimulation electrodes may be calculated knowing only K. As noted above, K is a proportionality constant denoting the relationship between current and distance.
[0113] Distance or position of the neural tissue may be determined independent of nerve status or pathology (i.e., elevated i.sub.0), so long as stimulation current thresholds can be found for each electrode.
Measuring Nerve Pathology
[0114] If the distance to the nerve is known (perhaps through the methods described above), then it is possible to solve equation (8) for i.sub.0. This would permit detection of nerves with elevated stimulation thresholds, which may provide useful clinical (nerve pathology) information.
i.sub.0=i.sub.th−Kd.sup.2 (10)
Removing Dependence on K
[0115] The preceding descriptions assume that the value for K is known. It is also possible to measure distance to a nerve activation site without knowing K, by performing the same measurement from two different electrode sets.
Adding the electrical model from equation (7), the dependence on K is removed. Solve equation (11) for d.sub.b to get the distance in one dimension:
Finally, it is possible to solve for the value of K itself:
Although the configuration in
Electrode Redundancy
[0116] Whichever electrical model is used, the relationship expressed in equation (1) means that the current at any of the electrodes at the four compass points can be “predicted” from the current values of the other three electrodes. Using the electrical model of equation (7) yields:
i.sub.w+i.sub.e.sup.2=i.sub.s.sup.2+i.sub.n.sup.2
Using the electrical model of equation (6) yields:
i.sub.w+i.sub.e=i.sub.s+i.sub.n
This provides a simple means to validate either electrical model.
[0117] Applying the tools of geometric and electrical modeling may help to create more efficient, accurate measurements of the nerve location.
[0118] While certain embodiments have been described, it will be appreciated by those skilled in the art that variations may be accomplished in view of these teachings without deviating from the spirit or scope of the present application. For example, the system 22 may be implemented using any combination of computer programming software, firmware or hardware. As a preparatory act to practicing the system 20 or constructing an apparatus according to the application, the computer programming code (whether software or firmware) according to the application will typically be stored in one or more machine readable storage mediums such as fixed (hard) drives, diskettes, optical disks, magnetic tape, semiconductor memories such as ROMs, PROMs, etc., thereby making an article of manufacture in accordance with the application. The article of manufacture containing the computer programming code may be used by either executing the code directly from the storage device, by copying the code from the storage device into another storage device such as a hard disk, RAM, etc. or by transmitting the code on a network for remote execution. As can be envisioned by one of skill in the art, many different combinations of the above may be used and accordingly the present application is not limited by the scope of the appended claims.