A kind of dynamically changeable multichannel transcranial magnetic stimulation coil array and control method thereofTechnical field
The present invention relates to the bioelectromagnetics technical field, particularly a kind ofThe dynamically changeable multichannelTranscranial magnetic stimulation coil array and control method thereof.
Background technology
Magnetic field can penetrate head almost losslessly.Transcranial magnetic stimulation (TMS) produces alternating magnetic field by import pulse current in the TMS coil, and magnetic field penetration head (Fig. 1 .a) is being induced faint faradic current (Fig. 1 .b, Fig. 1 .c) by the cerebral cortex below the stimulation location.If induced current parallels with nerve fiber, thereby can induce stronger transmembrane potential to cause that neuronal cell is movable.TMS is widely used in brain science, Cognitive Science and clinical treatment field at present.
Existing TMS mostly adopts single channel o shape coil (shown in Fig. 1 .b) or figure-eight coil (shown in Fig. 1 .c) to apply TMS to be stimulated.O shape coil can produce toroidal magnetic field in a big way in brain; The essence of figure-eight coil is that the o shape coil of two current opposite in direction closely links to each other, although the electric field intensity of its generation not as o shape coil, can produce the CURRENT DISTRIBUTION of comparatively concentrating in the junction of two o shape coils.Thereby can produce the stimulation of comparatively concentrating.Existing TMS device all is to adopt single channel TMS coil to be positioned over fixing scalp position to stimulate.Based on the Research Requirements in brain science, Cognitive Science and clinical treatment field, implementing multichannel TMS stimulation in complete scope has become development trend.
Exploitation multichannel TMS coil was once attempted in some researchs, realized that so-called multichannel TMS stimulates (Fig. 2) but these researchs just are configured in a plurality of single channel TMS coils the head surface simply.Such as J. Ruohonen (Multichannel magnetic stimulation:improved stimulus targeting, 1996; Focusing and targeting of magneric brain stimulation using multiple coils, 1998; Theory of multichannel magnetic stimulation:toward functional neuromuscular rehabilitation, 1999), SL. Ho(Optimization of array magnetic coil design for functional magnetic stimulation based on improved genetic algorithm, 2009), BY. Han(Multichannel magnetic stimulation system design considering mutual couplings among the stimulation coils, 2004) etc. people's research group proposed with a plurality of single channel o shape coil close-packed arrays form coil arrays concept (Fig. 2. (a)-(c)).And XM. Wang(Design of multi-channel brain magnetic stimulator and ANSYS simulation, 2005) and the people's such as CH. Im (Computer-aided performance evaluation of a multichannel transcranial magnetic stimulation system, 2006) research group then proposed the concept that a plurality of single channel o of dispersed arrangement shape coil consists of multichannel TMS coil array (Fig. 2. (d) (e)).GZ. Xu(The optimal design of magnetic coil in transcranial magnetic stimulation, 2005) etc. people's research then imagine with a plurality of single channel o shape coils superposeed to form in the space multichannel TMS coil array (Fig. 2. (f)).
More than cited scheme all do not break away from a plurality of single channel o of head surface configuration shape coil and realize the thinking that multichannel TMS stimulates.Because the restriction of the shape and size of coil itself, and the interval between coil and the coil etc. restricts key element, so that the TMS coil in the such scheme coil array can't tight distribution, namely can't realize high-resolution coil configuration.
On the other hand, TMS is applied in the brain science research, usually need same experiment condition is carried out many experiments, and all need each single channel coil is accurately located to guarantee coil and head one by one in the experiment each time, and the relative position of coil and coil meets predefined requirement.There is numerous single channel coils in the such scheme, these TMS coils are located one by one will causes the complicated of practical operation.The complicated of this operation also will very easily be brought out the generation of position error, and this all will reduce the repeatability of experiment greatly.
In addition, each single channel TMS coil needs special control unit in the such scheme, and multichannel must cause the complicated of control unit, and will strengthen cost.
At last, also be the most important, namely above-mentioned TMS coil design scheme all can't realize the dynamically changeable of stimulus type.Thereby above-mentioned design all is to have adopted the arrangement of o shape coil to form the multi-channel coil array.In actual TMS use procedure, usually wish to select according to actual needs different stimulation areas and stimulate kind (o shape or 8-shaped).And the dimensions of above-mentioned TMS coil design scheme coil is and immobilizes, and coil-type is fixed as o shape coil, and this is so that stimulate area and kind all can't realize according to demand dynamic change.
In sum, the existing multichannel TMS coil design scheme shown in Fig. 2 exist all that resolution is low, coil location is difficult, control unit mainly with and the problems such as difficult accommodation of system.This becomes the immediate cause that causes in recent years multichannel TMS research to be stagnated.And implementing during TMS stimulates, at random change as required the dynamic research such as stimulation location, stimulation mode and stimulus intensity especially traditional method can't realize.This programme will propose a kind of novel dynamically changeable multichannel TMS coil array design for this present situation.
Summary of the invention
The object of the present invention is to provide a kind of brand-new full head dummy dynamically changeable multichannel TMS coil array method for designing and control technology, utilize the novel TMS coil array of this programme design, can produce simultaneously a plurality of TMS coils in complete scope, also can change stimulates size, intensity and stimulation mode (selecting o shape or 8-shaped).This coil array can realize that the TMS of multichannel high spatial resolution stimulates, and can realize the dynamically changeable of stimulation sites and mode.
The technical solution that realizes the object of the invention is: a kind of dynamically changeable multichannel transcranial magnetic stimulation coil array, this coil array comprise the one group of equally spaced straight line insulated copper of S direction wire, one group of C direction equally spaced straight line insulated copper wire and control unit; S direction and C direction correspond respectively to sagittal axis and the frontal axis of brain, two groups of mutual square crossings of wire and the formation reticulated coil array insulated from each other of S direction and C direction, and the input of every rectilinear wire or outfan all connect an independently control unit; This coil array spatially bends to sphere, and the sphere radian meets human body head curve form, and whole coil array is helmet shape and covers complete scope.Described control unit is used for the closure state of pilot, inflow or outflow direction and the current intensity of electric current.Do not have the interval between the TMS coil and be the array-like close-packed arrays.
A kind of control method of dynamically changeable multichannel transcranial magnetic stimulation coil array by the control to each control unit, produces the TMS coil in coil array; By the control to the sense of current of each wire, kind, specification, size, position and the quantity of control TMS coil; By the control to the current intensity of wire, the stimulus intensity that control TMS coil produces; By wire being accessed the control of the timing node of electric current, when control produces TMS stimulates.
A kind of control method of dynamically changeable multichannel transcranial magnetic stimulation coil array, the method for control TMS coil kind is as follows:
A) by the control to the sense of current of each wire, can be controlled at and consist of single channel o shape coil in the coil array: make 2 wires of S direction and 2 wire turn-on current of C direction, the control sense of current makes the interior electric current of the annular section of these 4 wires formation in the same way, namely be all clockwise or be all counterclockwise, then can in coil array, consist of single channel o shape coil;
B) by the control to the sense of current of each wire, can be controlled in the coil array and to consist of the single channel figure-eight coil: figure-eight coil is that the o shape coil by 2 adjacent current opposite in direction forms, by the control to the sense of current of each wire, make 3 wires of S direction and 3 wire turn-on current of C direction, make these 6 wires form two adjacent annular sections, and make this two adjacent annular section consist of 45 degree or 135 degree 8-shaped, the control sense of current makes current opposite in direction in this two adjacent annular section, then can consist of the single channel figure-eight coil in coil array.
A kind of control method of dynamically changeable multichannel transcranial magnetic stimulation coil array based on o shape coil and these two kinds basic TMS coils of figure-eight coil, can make up the TMS coil of other shapes:
A) make up the isosceles triangle coil, the isosceles triangle coil is made of 1 figure-eight coil and 1 adjacent o shape coil combination: 135 of any one o shape coil degree or 315 degree directions arrange the o shape coil of 1 current opposite in direction in 2 o shape coils in the figure-eight coils that are 45 degree, namely consist of the isosceles triangle coil; 45 of any one o shape coil degree or 225 degree directions arrange the o shape coil of 1 current opposite in direction in 2 o shape coils in the figure-eight coils that are 135 degree, namely consist of the isosceles triangle coil on another direction;
B) make up 88 shape coils: 88 shape coils are made of 2 adjacent and parallel figure-eight coils, at first figure-eight coil close position that is miter angle second figure-eight coil that is miter angle is set, and make that 2 o shape coil combinations of pairs form respectively other 2 figure-eight coils in 2 o shape coils in first figure-eight coil and second figure-eight coil on 135 degree angular direction, namely consist of 88 shape coils; At first figure-eight coil close position that is 135 degree angles second figure-eight coil that is 135 degree angles is set, and make that 2 o shape coil combinations of pairs form respectively other 2 figure-eight coils in 2 o shape coils in first figure-eight coil and second figure-eight coil on the miter angle direction, can consist of equally 88 shape coils.
C) make up the cross coil: with the adjacent arrangement on 45 degree directions of 3 o shape coils, and make current opposite in direction in the adjacent o shape coil, spend on the direction adjacent positions at 135 degree and 315 of 1 o shape coil placed in the middle 1 o shape coil respectively is set, and make the current opposite in direction of the sense of current and the o shape coil placed in the middle of these 2 o shape coils, namely consist of the cross coil; With the adjacent arrangement on 135 degree directions of 3 o shape coils, and make current opposite in direction in the adjacent o shape coil, spend on the direction adjacent positions at 45 degree and 225 of 1 o shape coil placed in the middle 1 o shape coil respectively is set, and make the current opposite in direction of the sense of current and the o shape coil placed in the middle of these 2 o shape coils, can consist of equally the cross coil.
A kind of control method of dynamically changeable multichannel transcranial magnetic stimulation coil array,
A) size of control TMS coil: establish in the coil array D that is spaced apart between 2 adjacent wires, when making up o shape coil, when the interval of the interval of 2 wires of S direction of turn-on current and 2 wires of turn-on current C direction is M*D, wherein M is positive integer, and producing the length of side is the o shape coil of M*D; When making up figure-eight coil, when the interval of the interval of 3 wires of S direction of turn-on current and 3 wires of C direction of turn-on current was M*D, wherein M was positive integer, and producing the length of side is the figure-eight coil of M*D;
B) specification of control TMS coil: establish in the coil array D that is spaced apart between 2 adjacent wires, when making up o shape coil, make the interval of 2 wires in interval and C direction of 2 wires of S direction equate to be M*D, wherein M is positive integer, the o shape coil of the length of side such as then can consist of; When making up figure-eight coil, make between 3 wires of S direction between 3 wires in interval and C direction each other interval each other equate to be M*D, wherein M is positive integer, the figure-eight coil of the length of side such as then can consist of; If does not wait at interval between the S direction wire each other or C direction wire between each other interval do not wait, then can consist of inequilateral long o shape coil or figure-eight coil.
A kind of control method of dynamically changeable multichannel transcranial magnetic stimulation coil array,
A) position of control TMS coil:
1) determines that at first wish arranges the position of single channel o shape coil in coil array, determine to consist of o shape coil annular section, determine to consist of again the position of 4 wires on the corresponding S direction of this annular section and the C direction, control the sense of current of these 4 wires, make the electric current of this annular section consist of in the same way single channel o shape coil, thus the position of control o shape coil in coil array;
2) determine that at first wish arranges the position of single channel figure-eight coil in coil array, determine to consist of 2 annular sections of figure-eight coil, determine to consist of again the position of 6 wires on the corresponding S direction of these 2 annular sections and the C direction, control the sense of current of these 6 wires, make the electric current of these 2 annular sections oppositely consist of the single channel figure-eight coil, thus the position of control figure-eight coil in coil array;
3) multichannel TMS coil is made of a plurality of single channel TMS coil set.
B) quantity of control TMS coil:
The quantity of the wire of the wire of the S direction of control turn-on current and the C direction of turn-on current produces a plurality of single channel TMS coils simultaneously in coil array, thereby realizes that multichannel TMS stimulates;
C) stimulus intensity of control TMS coil:
By the control to the current intensity in the wire, control the intensity of the induced magnetic field that produces, thereby control the intensity of the induced current that is caused by the TMS coil;
D) timing node of control TMS coil generation:
By wire being accessed the control of the timing node of electric current, control produces the timing node of alternating magnetic field, thereby when control produces induced current, namely when produces transcranial magnetic stimulation.
A kind of control method of dynamically changeable multichannel transcranial magnetic stimulation coil array, the stimulus parameter that wish is produced transcranial magnetic stimulation comprises that kind, specification, size, position, quantity and the stimulus intensity of timing node, stimulation are stored in the memorizer, by calling in order each control unit parameter of memorizer moderate stimulation parameter real time altering, thereby kind, specification, size, position and the quantity of real time altering TMS coil, and can real time altering stimulation time node and stimulus intensity, thereby realize the dynamically changeable transcranial magnetic stimulation.
The present invention compared with prior art, its remarkable advantage: the present invention proposes brand-new high-resolution dynamically changeable multichannel TMS coil array method for designing.The TMS coil of comparing traditional, the TMS coil array that goes out based on this Design Theory has following characteristics and advantage:
(1) can realize the real-time transmutability of kind, specification and size, position, quantity and the stimulus intensity of TMS coil:
By the control to the wire switch, can be by the TMS coil being varied to o shape or 8-shaped to change stimulation mode; By the control to access ampere wires interval, can produce the TMS coil of different size and size; By the control to access ampere wires position, can produce the TMS coil in the position of appointment; By the control to access ampere wires quantity, can produce the TMS coil of varying number; By the control to current intensity in the wire, can change TMS and stimulate size; The variation of above-mentioned stimulus parameter all can realize real-time control, can guarantee the real-time transmutability of stimulus parameter.
(2) can provide high spatial resolution to stimulate
With respect to arranging that on the head surface a plurality of single channel conventional coil consist of the traditional design scheme of multichannel TMS coil, this programme can realize that the close-packed array formula of distance distributes continuously, can farthest reduce the distance between the TMS coil, this provides possibility for providing high spatial resolution TMS to stimulate.
(3) can guarantee the accurate location of multi-channel coil position
Because whole coil array can accurately be located with respect to the position of head, and the relative position between each TMS coil is changeless, so can be simply and control exactly each TMS coil and head and the relative position between each TMS coil.This is as the criterion and determines that each TMS coil position of position provides guarantee.
(4) Stimulation of The Brain is neural more effectively
What be different from that o shape coil and figure-eight coil produce in the traditional design is that circular induced current distributes, and the TMS coil is square in this programme, can produce square induced current at intracranial and distribute.As previously mentioned, if induced current parallels with nerve fiber, thereby can induce stronger transmembrane potential to cause that neuronal cell is movable.Distribute because the cerebral nerve fiber is cocurrent and parallel more, traditional circular induced current of therefore comparing distributes, and square induced current distributes obviously can excite the activity of greater number nerve fiber, thereby Stimulation of The Brain is neural more effectively.
(5) can produce the stimulation of complicated type
Be different from traditional TMS coil design scheme and can only produce o shape or figure-eight coil.In this programme, except generating o shape and figure-eight coil, can also generate the TMS coil of complicated types such as isosceles triangle, 88 shapes and cross.
(6) can greatly reduce control unit
For the coil array of as shown in Figure 4 NxN, if adopt this traditional design thinking of simple arrangement of single channel TMS coil, need NxN control unit; And the mentality of designing of employing this programme then only needs the individual control unit of 2 (N+1).This has greatly simplified the complexity of control unit, and saving is controlled cost.
Description of drawings
Accompanyingdrawing 1 is TMS schematic diagram and traditional o shape or 8-shaped TMS coil, and (a) TMS stimulates schematic diagram (b) o shape coil and figure-eight coil schematic diagram.
Accompanyingdrawing 2 is existing multichannel TMS coil design scheme.(a) J. Ruohonen research group design (b) SL. Ho research group design (c) BY. Han research group design (d) XM. Wang research group design (e) CH. Im research group design (f) GZ. Xu research group design.
The TMS coil array design diagram that accompanying drawing 3 proposes for this programme.
The TMS coil array schematic diagram that accompanying drawing 4 proposes for this programme.
Accompanying drawing 5 is realized different size o shape coil sketch map for this programme; (a) small size o shape coil (b) large scale o shape coil.
Accompanying drawing 6 is realized different size figure-eight coil sketch map for this programme; (a) small size figure-eight coil (b) large scale figure-eight coil.
Accompanying drawing 7 is realized many sizes multichannel TMS coil sketch map for this programme; (a) many sizes of many sizes multichannel o shape coil (b) multichannel figure-eight coil.
Accompanying drawing 8 is realized isosceles triangle, 88 shapes and cross TMS coil sketch map for this programme.
Accompanying drawing 9 is realized many sizes multichannel polymorphic type TMS coil sketch map for this programme.
The analog computation result that accompanying drawing 10 designs for this programme; (a) the CURRENT DISTRIBUTION analog result of CURRENT DISTRIBUTION analog result (b) this programme figure-eight coil generation of this programme o shape coil generation.
The specific embodiment
The present invention proposes a kind of multichannel TMS coil array design that covers full head.This coil array is made of one group of S direction and the square crossing of the one group of equally spaced straight line insulated copper of C direction wire.S direction and C direction correspond respectively to sagittal axis and the frontal axis of brain.Two groups of wires intersect but formation reticulated coil array insulated from each other mutually in length and breadth.This coil array spatially bends to sphere, and its radian is designed to approach with human body head curved surface, and whole coil array is helmet shape and covers complete scope.
Every wire is by independently control unit control in the coil array, and control unit is then controlled by computer.Each control unit can pilot closure state, inflow or outflow and the current intensity of electric current.
The wire of energising can produce magnetic field around it, generation is perpendicular to the magnetic field of coil plane around wire thereby traditional TMS coil imports electric current in closing coil, and head generation induced current is run through in this magnetic field and final Stimulation of The Brain is neural.In this programme, by the control to the closure state of the electric current importing of every wire or derivation and wire, make the sense of current in the annular section that 2 wires of 2 wires of S direction and C direction consist of identical, namely be all clockwise or be all counterclockwise, the Electric Field Distribution of inducing that produces in the annular section that is then generated by these 4 wires insulated from each other is equal to the Electric Field Distribution of inducing that square closed loop produces.Although o shape induces Electric Field Distribution and the square Electric Field Distribution of inducing different in shape, does not have difference for this essence of ring-type induced current, therefore, the square coil that this programme adopts can be realized traditional o shape coil function.
Form because figure-eight coil is the o shape coil by 2 adjacent current opposite in direction, by the control to the sense of current of each wire, this programme can generate the closed loop of 2 adjacent one another are and current opposite in direction in coil array.Therefore, this programme can be realized the function of traditional figure-eight coil equally.
By the control to the sense of current of each wire, can be controlled at kind, specification and the size, position, the quantity that consist of the TMS coil in the coil array.By the control to the current intensity of each wire, can control the intensity that the TMS of generation stimulates.Because the parameter of control unit can real time altering, but the equal real time altering of kind, specification and size, position, quantity and the stimulus intensity of the TMS coil that produces in the coil array.Therefore, this programme can produce multichannel dynamically changeable TMS stimulates.
In addition, because whole coil array is net distribution, does not have distance between the adjacent windings and do not have the space, this is so that this programme can produce the higher TMS coil array of spatial resolution.In addition because the spacing of wire, the parameters such as radical of wire are fixed values, inner each TMS coil that produces of coil array with respect to the position of whole coil array also be clear and definite as can be known, this is so that convenient feasible to the location of multichannel TMS coil.In actual use, need not multichannel TMS coil is located one by one, only need whole coil array is located at head, can the disposable location work of finishing multichannel TMS coil.Therefore, this programme can be realized high-resolution multichannel TMS coil, can guarantee accuracy and the convenience of TMS coil location simultaneously.
The present invention will be further described below in conjunction with accompanying drawing.
The present invention proposes helmet-type multichannel TMS coil array design as shown in Figure 3.This coil array is by the one group of equally spaced straight line insulated copper of S direction wire, and one group of C direction equally spaced straight line insulated copper wire and control unit consist of.S direction and C direction correspond respectively to sagittal axis and the frontal axis of brain, two groups of mutual square crossings of wire and the formation reticulated coil array insulated from each other of S direction and C direction, and the input of every rectilinear wire or outfan all connect an independently control unit.This coil array spatially bends to sphere, and the sphere radian meets human body head curve form, and whole coil array is helmet shape and covers complete scope.
As shown in Figure 4, this coil array is made of one group of S direction and one group of equally spaced rectilinear wire square crossing of C direction.S direction and C direction correspond respectively to sagittal axis and the frontal axis of brain.The wire of S direction and C direction mutually intersects but insulate.Every wire is all controlled respectively importing, derivation or the closed condition of this wire by control unit independently, thereby control unit can be controlled the TMS stimulus intensity that current intensity control produces simultaneously.Each control unit is then controlled respectively by computer.
As shown in Figure 5, by changing the sense of current of each wire, can in coil array, produce o shape coil.Such as Fig. 5. (a), when electric current flows into from wire S3, C5 respectively, and in the situation about flowing out from S4, C6, just thereby can form closed loop in coil array produces undersized o shape coil.And such as Fig. 5. (b), flow into from wire S3, C3 respectively when controlling electric current, and in the situation of S7, C7 outflow, just thereby can form closed loop in coil array produces large-sized o shape coil.
As shown in Figure 6, by changing the sense of current of each wire, can in coil array, produce figure-eight coil.Such as Fig. 6. (a), when electric current flows into from wire S3, S5, C4, C6 respectively, and in the situation about flowing out from S4, C5, just flow to opposite closed loop can forming two, thus undersized figure-eight coil produced.And such as Fig. 6. (b), when electric current flows into from wire S2, S8, C2, C8 respectively, and in the situation about flowing out from S5, C5, just flow to opposite closed loop can forming two, thus large-sized figure-eight coil produced.
As shown in Figure 7, by changing the sense of current of each wire, can in coil array, produce many sizes multichannel o shape coil.Such as Fig. 7. (a), when electric current flows into from wire S2, C7 respectively, and in the situation about flowing out from S3, C8, just can produce in the coil array upper left corner undersized o shape coil.And flow into from wire S4, C2 respectively when controlling electric current, and in the situation of S8, C6 outflow, just can produce in the coil array lower right corner large-sized o shape coil.Such as Fig. 7. (b), when electric current flows into from wire S1, S3, C7, C9 respectively, and in the situation about flowing out from S2, C8, just can produce in the coil array upper left corner undersized figure-eight coil.And flow into from wire S3, S9, C1, C7 respectively when controlling electric current, and in the situation of S6, C4 outflow, just can produce in the coil array lower right corner large-sized figure-eight coil.
As shown in Figure 8, except traditional o shape and 8-shaped TMS coil, by changing the sense of current of each wire, can in coil array, produce the TMS coil of other type: when electric current flows into from wire S2, S4, C5, C7 respectively, and in the situation of S3, C6, C8 outflow, can realize isosceles triangle TMS coil in the upper left corner of coil array; When electric current flows into from wire S6, S8, C7, C9 respectively, and in the situation about flowing out from S7, S9, C6, C8, can realize 88 shape TMS coils in the upper right corner of coil array; When electric current flows into from wire S4, S6, C2, C4 respectively, and in the situation about flowing out from S3, S5, C1, C3, can realize cross TMS coil below in coil array.
As shown in Figure 9, by changing the sense of current of each wire, can in coil array, produce many sizes multichannel polymorphic type TMS coil.As shown in Figure 9, when electric current flows into from wire S2, S4, C7 respectively, and in the situation about flowing out from S3, C6, C8, just can on coil array is left, produce undersized figure-eight coil in the angle.When electric current flows into from wire S9, C7 respectively, and in the situation about flowing out from S6, C6, just can on coil array is right, produce prolate o shape coil in the angle.When electric current flows into from wire S4, S9, C1, C5 respectively, and in the situation about flowing out from S3, S6, C3, produce the long isosceles triangle coil of inequilateral below just can be in coil array.Therefore, by changing the sense of current, can in coil array, produce simultaneously different size, dissimilar a plurality of TMS coils.
As shown in figure 10, Figure 10. be that the o shape coil that this programme is produced that shows carries out the TMS induced current scattergram that the electromagnetic field simulation calculates (a).Such as Figure 10. (a), CURRENT DISTRIBUTION distributes in the form of a ring in o shape coil and reaches maximum in central authorities, meets the corresponding induced current of traditional o shape coil and distributes; Figure 10. be that what to show is that the figure-eight coil that this programme produces is carried out the TMS induced current scattergram that the electromagnetic field simulation calculates (b).Such as Figure 10. (b), CURRENT DISTRIBUTION distributes in the form of a ring in adjacent 2 o shape coils in figure-eight coil and reaches maximum in the junction, meets the corresponding induced current of traditional figure-eight coil and distributes.Can find that based on analog result the design of this programme proposition satisfies the design objective of coil, so this programme has good feasibility.