DEVICE FOR SELECTIVE MODIFICATION/DESTRUCTION OF ORGANIC TISSUE

20180050217 ยท 2018-02-22

    Inventors

    Cpc classification

    International classification

    Abstract

    The invention relates to a device for selective modification/destruction of organic tissue and to the use thereof for biomedical purposes, which includes a magnetic field generator (1) housed in a Faraday cage (6), with coils/conductors and a device for controlling the electrical intensity and voltage parameters of the terminals (7). Said generator consists of a device for generating chaotic magnetic fields ( ) coils/conductors having a geometric configuration (FIG. 1) which generates chaotic magnetic field lines, characterised topologically in space by chaotic field lines, which surround the magnetic field lines contained within a magnetic torus or KAM island (2), said structure being topologically controlled in space since it is contained within the Faraday cage (6). In addition, the invention also includes one or more devices generating polarised electromagnetic frequencies (infrared, microwave or X-ray) (3, 3.1, 3.2) with focussing capacity (4), coherence with the resonant frequency and polarisation in the direction of maximum absorbance of the nanoparticles/biomolecules oriented in the KAM island (2) which will submerge the target tissue for the selective modification or destruction. The device may operate at the X-ray frequency with or without the use of nanoparticles/biomolecules, in which case the destruction of the target tissue (4) occurs by controlling, in the direction of the paths, the secondary electrons and other charged particles produced by the X-ray beam, in the target tissue (4), by modulating the magnetic field intensity of the magnetic KAM island (2) in the target tissue (4), and the direction of incidence of the magnetic KAM island with respect to the X-ray beam in the target tissue (4).

    Claims

    1. Device for Selective Modification/destruction of Organic tissues, characterized in that it comprises: a Generator of chaotic Magnetic Fields (1) which has a Geometric configuration of Conductors so chaotic that generates a Magnetic Field, which is at least a Kam Torus Magnetic or Magnetic Island, located in a Topological Space (2), and that sets a Target tissue (4); a container that hosts the chaotic Magnetic Fields Generator (1) A Faraday Cage; (6) where it is housed in the container of the chaotic Magnetic Fields Generator; a solution of Nanoparticles biomolecules/destruction/modification introduced in the target tissue (4); one or several devices Generating electromagnetic waves (3, 3, 3 2), where the emission of electromagnetic waves is focused towards the target tissue (4) to modify/Destroy, the beam forming, Power, frequency, Consistency, and section suitable for Activation Resonant nanoparticles/biomolecules in the target tissue (4); and a room where you will stay the patient (5), Inside The Faraday Cage (6).

    2. Device for Selective Modification/destruction of Organic tissues, according to claim 1, characterized by a RF Transmission and reception device (11) for the operation of nuclear magnetic resonance imaging; by a Lane that will mechanically Automated device and RF Transmission and reception (11) and a control panel (13) of the transmission and reception of RF coils (11) For Shaping the image of the target tissue (4) in MRI.

    3. Device for Selective Modification/destruction of Organic tissues, according to claim 1, characterized by a estereotxico device (8) for Stereotactic Localization of target Tissue to modify or destroy, and the intersection of the beam with the electromagnetic Magnetic Island Kam (4).

    4. Device for Selective Modification/destruction of Organic tissues, according to claims 1, wherein the Generator device of electromagnetic frequencies (3.2) operate with do the frequencies of x-rays or gamma rays, without the application of Nanoparticles and biomolecules in the target tissue; the selective destruction of the target Tissue is produced by the interaction of the charged particles produced by the beam in the target Tissue and the Magnetic toroid (2) in the target tissue (4).

    5. Device for Selective Modification/destruction of Organic tissues, according to claim 1 characterized, because the container that will hold the chaotic Magnetic Field Generator (1), for the cooling system of the coils, and on the basis of micrometric displacement Movement for the implementation of the definition of (4), and Volume to be treated; and can rotate on the central plane of the Cylinder (1) To enable changing the incidence of intersection between the Island Kam Magnetic electromagnetic Beam (2) and (4) the frequency of X Rays and gamma rays, to control the Trajectories of charged particles produced in the target tissue (4).

    6. Device for Selective Modification/destruction of Organic tissues, according to claims 1, wherein the chaotic Magnetic Field Generating device (1) is connected to the Control Unit (7) from which they modify and control the electrical and Magnetic Parameters, the intensity and Voltage of the coils/terminal Drivers, while the unit, incorporated in a Booth outside the Faraday Cage (6).

    7. A Biomedical Application using the device of claim 1.

    8. The Biomedical Application of claim 7, wherein the device is used for the selective Modification of Organic tissues.

    9. The Biomedical Application of claim 7, wherein the device is used for the selective destruction of Organic tissues.

    Description

    BRIEF DESCRIPTION OF THE FIGURES

    [0063] FIG. 1 shows an example of the geometric configuration of Drivers/Superconducting coils to generate Magnetic Fields Applied chaotic, once a Flow of Electrical current. Note that although this configuration of Conductors, has the ability to produce a CMF, the passage of an electric Current, characterized by the generation of chaotic Magnetic Field Lines, Magnetic homoclinicos entanglements LCC, and lines of Magnetic Field confined in a toroidal Magnetic or Magnetic Island Kam, well characterized Topologically in Space (FIG. 5, FIG. 6 white circles) [1-5, 10]. The configurations of Drivers with a Generating capacity of CMF as reported in Literature [1-5, 10], are innumerable, which, depending on Industrial needs The configuration and conformation of these drivers capable of generating a magnetic field could be chaotic. Mathematically is described in cylindrical coordinates by: LI={X=0, y=0}, L2={X=cos (c)=[) Sen (CB), Sen (Z=8 K (c)).

    [0064] FIG. 2 shows a schematic Block Diagram as a representative example, Device Modification/Selective destruction of Organic tissues, the object of the invention, which are the main parts and Elements it contains. Preferably operating at the frequency of X Rays.

    [0065] FIG. 3 shows a schematic Block Diagram as a representative example, Device Modification/Selective destruction of Organic tissues, the object of the invention, which are the main parts and Elements it contains. Preferably operating at the frequency of infrared and Microwave.

    [0066] FIG. 4 shows a schematic Block Diagram as a representative example, Device Modification/Selective destruction of Organic tissues, the object of the invention, which are the main parts and Elements it contains. Preferably operating as Magnetic Resonance Imaging and dcmf.

    [0067] FIG. 5.Graph of the three types of Magnetic Field lines in a Magnetic Field generated in the perturbed chaotic System, FIG. 1 (b), where Epsilon=0.05. (top) Elliptic periodic Magnetic line. (Center) cuasiperiodicas Stable Lines or Islands Kam, Kis. (bottom) homoclinicos Tangled Magnetic Field Lines or chaotic, LCC [1]

    [0068] FIG. 6.PMC Poincare section of FIG. 1 (a), parties are the White Islands dotted Black area Kam Magnetic, Magnetic homoclinicos entanglements, FIG. 6, Center and Bottom respectively, for Epsilon=0.05, 0.02) and B=[1].

    [0069] FIG. 7Spectral Dependence of the Magnetic contribution to the absorption of Gold nanoparticles of different shapes and aspect ratio: (A, D, g) Ellipsoids, (B, e, H) Records, and (C, F, i) Rings (a)-(c) effective cross section absorption of Incident electric field and two different orientations with respect to the Symmetry Axis Magnetic particles (see insets in (a) and different Particle sizes (see insets above) (d)-(i) fraction of losses in Magnetic, Solid curves (d)-(i) are obtained using a Drude Model permittivity for Gold, while the rest of the calculations are tabulated using Optical Data. In the directions Parallel and perpendicular polarization Components refers to the direction of K [14].

    [0070] FIG. 8.in the box on the Upper left illustrates the electric field vector at different polarizations between 0o and 90o. The points are the relative proportion of 71 (conduction Band) or absorption (conduction Band) measured at 60 horizontal Angle to the Axis of alignment (see FIG. 9). The Continuous Line is obtained from the simulation of propagation with Gaussian with Standard deviation of diameter 27 8 . The Box in the lower right part represents the angular Dependence of the Absorbance and a service with respect to the nanotube AXIS (horizontal dashed line) [21].

    [0071] FIG. 9.x-ray Absorption Response of vertically aligned SWNTs. The Angle Between the incident beam and the Axis of alignment is 60th in the horizontal plane. The linear polarization of Light Moves from horizontal to vertical (0) (90). The Spectra are Scaled to the level of absorption (or orbital Electronic) [21].

    [0072] FIG. 10: Schematic of the Geometry of COLLIMATION and Beam Dosimetry used in micro/minirayos MicroBEAM Radiation Therapy [25].

    PREFERRED EMBODIMENT OF THE INVENTION

    [0073] In view of these figures, and in accordance with the numbering adopted, May be seen in a non limiting example Device Destruction/Selective Modification of Organic tissues advocated, which includes the parts and elements that are identified and described in detail below.

    [0074] FIG. 1 shows a Configuration model of the configuration of Drivers/coils that the passage of an electric current to generate a Magnetic Field chaotic, although, as already reported in literature, the geometric Configurations, with capacity to generate a CMF are countless [1]5:10. The constituent threads in FIG. 1 will be Superconducting material that will constitute the coils, defined as coils, but these are not will overwhelm any Cylinder if not take the geometric Shape defined by FIG. 1. These threads may consist, i.e, NB ti or NB SN in cu Matrix which are Extruded to form Threads of a Section of 0.5 mm DIAMETER. With a capacity of supports much higher than normal current drivers, 10 mA CM -NB SN, and capable of generating Magnetic Fields up to 15 T. Other Superconducting Materials, capable of being used in the geometric configuration of Conductors, and could be nb3al mgb2.

    [0075] Thus, as seen in FIGS. 2, 3 and 4, which shows an example of the device in question represented disproportionately to enable a better understanding of all its parts and Elements, consists, essentially, of the following (The numbering refers to the numbering of the diagram): [0076] 1. A Chaotic Magnetic Fields Generator device, which comprises a set of coils/drivers whose Geometric configuration (FIG. 1) allows the generation of chaotic Magnetic Fields, giving rise to a number of Magnetic Islands/Kam (2) (FIG. 5 and FIG. 6 Centre, surrounded by white circles), chaotic Field Lines LCC, not shown in the diagram because they cover the whole space inside the Faraday Cage (6), where the magnetic field is confined chaotic, CMF. The cilindr Host Configuration is permeable to the Superconducting coils, Magnetic Radiation, and serve as a Barrier against accidental Direct contacts and Conduit System refrigerator coils, which is required under the operation of the Power dcmf. In the mode of operation with an x-ray device, May be fitted on the spin Plane formed by L2 (FIG. 1), and in this way, change the direction of incidence of the KIS, on the intersection with the x-ray Beam, and facilitate control partial, Partial to do normal and because only those Whose Control and Direction of the velocity Component perpendicular to the applied Magnetic Field possesses KIS (2) That will be the majority) of the Trajectories of the secondary electrons produced in the to (4). [0077] 2. Magnetic Island Kam, generated by the geometrical configuration of the coils the KIS (FIG. 1, FIG. 5, FIG. 6 white circles) is Topologically characterized and localized in Space, confined by the Faraday Cage (6). It is noted that in the generation of the CMF, may have more than one Kam Magnetic Island, although for Biomedical Applications, it is only necessary to be characterized, and the beams of electromagnetic Frequency, not interseccione With those that are not the to (4). [0078] 3. Device/s Generator of electromagnetic waves, with the polarization in the direction of maximum Absorbance or Resonant Absorbance, the NPS that are oriented in the direction of the KIS (2), and Focusing and Collimating capabilities to the point/Volume TARGET (4), where the beam shall be consistent with the frequency Resonant Absorbance of NPS applied in (4) (within the constraints of the technical abilities), and Deposit Energy in the to (4) of at least 16 W/cm2. Depending on the frequency of operation and adaptation to the Shaping Device dcmf may vary: [0079] 1. The frequency of Infrared emitters and Microwave (1014 hz -109 hz), Therapeutic Mode, the Emitter or source of the beam must be in contact with the patient (FIG. 3), to prevent the loss of Energy Beam by Reflection/Scattering Surface Wave in the Air Corps, and on the basis of targeting. Thus, the device shall be as indicated in FIG. 3 inside the Faraday Cage. Whenever Electromagnetic Compatibility between the emitting device of electromagnetic Wave, and the magnetic field Generator, chaotic, if I hadn't, may also be charged outside the Faraday Cage (6), and Channel Wave using Probes to the patient. [0080] 2. The frequencies of the emitting X Rays and gamma rays (1016 hz-1020 hz), in this case may not operate or jointly with NPS in (4), the issuer may have capacities of polarization Beam (This is an optional criterion of Power needs, and Beam Beam Forming), which allows more consistent the market and Technical capabilities, and focus the beam down to (4). The Beam may be formed by geometrically collimators, to adapt to the minihaces x-ray Techniques [23-25]. [0081] 4. Point of intersection Beam electromagnetic, Magnetic Island, Kam, and Point/Volume alteration/destruction of Organic tissues. In MRI, Point of view. The Topological Control Area for Destruction shall be determined: [0082] The impact of effective diameter or section of our beam of electromagnetic frequencies (dashed arrow FIG. 2,3,4) on the target region, to (4). [0083] Intersection of our beam of electromagnetic frequencies (dashed arrow FIG. 2,3,4) with the Magnetic Island Kam to apply on the target tissue. [0084] 5. Table or room where you will stay the patient must be permeable to Magnetic Fields, and may have a Micrometer Movement System Based on case based Industrial and Medical, more effective Shift (5), instead of the field Generator (1), and in this way move to (4), through the whole volume of the target Tissue to be treated. [0085] 6. Faraday Cage structure, which must preserve the chaotic Magnetic Field, of any kind of external electro-magnetic disturbance, given the sensitivity of these CMF to Magnetic disturbances, so that the Earth Resistance of the same will be minimal, and isolated electromagnetic leakage. [0086] 7. Control Unit from which they modify and control the electrical Parameters (intensity and Voltage terminals) of the coils/drivers housed in (L). [0087] 8. Temperature control device and for positioning the laser markers, (Volume 4), and Stereotactic operation mode. [0088] 9. Damping Device for Vibration Control and Mechanical disturbances in the magnetic field Generator (1), to avoid all kinds of Noise Source on the Field, because of its sensitivity to external conditions, comprising Said device, preferably on a Vibration Platform on which is installed the Generator of Magnetic Fields, May be charged Motor System and micrometric Displacement at The base, for moving (1) To this point, and (4). [0089] 10. Control Unit of the refrigerator System drivers/coils (1). [0090] 11. In operation, such as magnetic resonance imaging, Transmission and reception of RF coils (MHz), (10) that will House The Frequency Synthesizer, digital envelope RF Power Amplifier and antenna. In this case will be as shown in FIG. 4, Inside the Faraday Cage, Channeled along the device (11), so that we can change the point of focus, Data Collection. For the chaotic Magnetic Field Generating device (1), and shall MOVE TOGETHER synchronously for the displacement of (4) through the tissue, and formation of image. [0091] 12. Lanes for the displacement of the device (11) for the Shaping of the image must be a permeable Magnetic material to radiation. [0092] 13. Control unit and transcription Signal (11), for operation in MRI. Dashed arrow (FIG. 2,3,4 -.fwdarw.) electromagnetic Beam to the proper frequency of operation of the NPS (infrared, Microwave, x-ray and Gamma Ray) Dashed dotted Arrow (FIG. 4->), RF Signal emission, reception to the operability and MRI.

    [0093] With all this, the operation of the device to achieve the Destruction/Selective Modification of Organic tissue, will be as follows:

    [0094] Introduce a solution of Nanoparticles and biomolecules, NPS, in the patient, so that allows us to a suitable concentration for the purposes of Destruction of the target Tissue modification [17]. These NPS embedded in the tissue, immersed in a CMF, covering the volume inside the Faraday Cage (6) is determined if these NPS, housed in the tissue of a patient to treat In the Topological space are formed by the magnetic field Lines LCC or KIS (2). Taking the NPS that are localized in the Topological Space formed by the chaotic Field Lines, their Spatial orientation will be chaotic, Random. On the other hand the particles located in the Topological Space of the KIS (2) will be todasi oriented Along these KIS (2) with a well-defined direction Resonant Absorbance and characterized in Space [13,14,21,22].

    [0095] The selective Activation of Nanoparticles and biomolecules, NPS, is dependent on the direction of these NPS and the incidence of the beam optical medium (dashed arrow in FIG. 2,3,4), which must have the polarization and Direction of these NPS in the KIS (2) which is Resonant Absorbance of these NPS [13,14,21,22]. The frequency of the beam (as Coherent as possible according to the technique, The Frequency should be the specific resonance (Microwave, infrared, Optical or x-ray) introduced the NPS. With what will be differentiated the absorbances of these NPS, depending on whether these NPS are submerged by the LCC, and therefore oriented chaotically. Thus minimum Absorbance capabilities into a Beam with the Resonant frequency of these NPS due to the anisotropy of the NPS in the absorbacia applicable 14,21,22 [13]. Or if these are submerged by the magnetic field formed by the KIS (2), and therefore All oriented and aligned in the direction of the KIS, allowing the effect of a Beam Polarized in the direction of maximum Absorbance and the resonance frequency of the specific NPS. This would allow Direct Energy on deposits or Activations of these NPS in (4), through the conversion of the electromagnetic energy of the incident Beam, Resonant and Optimum way on all these specific NPS. Where deposits of L, 6 W/cm2 in the to (4), will be a Destruction/Selective Modification and differentiated, and once to confine our STEP (4), our Magnetic toroid or KIS, characterized and localized in Space (2). So we have a differential Absorbance between St and (4) to (between the NPS that we have introduced in the tissue and bathed by the LCC and the KIS (2)), having differences in Absorbance/Section effective absorption of Order10000 (FIG. 7), and thus Activation of NPS, with the capacity Destruction/Selective Modification of Organic tissues non intrusive (without Surgery).

    [0096] The selective destruction of Organic tissues, with/without the use of PS, the frequencies of X Rays, is determined by the dynamics of the secondary electrons and other charged particles, produced by the x-ray Beam (dashed arrow FIG. 2,3,4 Peaks, FIG. 10) to its Passage by the patient. In this mode the device and Generator x-ray Source (3) may not be moved.

    [0097] In healthy tissue, St, and to preserve the dynamics of the secondary electrons, produced by the x-ray Beam is confined to the dimensions of the beam (dashed arrow in FIG. 2), given the dynamics of these electrons present in the tissue along the magnetic field Lines chaotic, LCC [5] where their Trajectories will be confined to the minimum expression, Minimizing the Biological Damage in ST.

    [0098] In the target tissue (4), given the presence of the KIS (2), the charged particles produced by the beam, May be transmitted through, the intensity of Magnetic Field modulation and chaotic, and therefore the magnetic field intensity of KIS (2), and the Polarity of the same larger volumes, covering destruction of More controlled than in the current radiotherapy techniques, where there are no mechanisms control partial, Partial to do normal And because only those Whose Control and Direction of the velocity Component perpendicular to the applied Magnetic Field possesses KIS (2), the Trajectories of the secondary electrons produced by the beam (dashed arrow in FIG. 2, The Peaks in FIGS. 10) to (4). For the Optimization of these mechanisms of partial control of the charged particles produced in (2) may be capable of Spinning/rotating Magnetic Field Generator (1), on the level of L2 (FIG. 1), to thereby vary the Topological structure and Direction of incidence of the magnetic field, KIS (2) to (4) applied in the x-ray Beam (dashed arrow in FIG. 2).

    [0099] Sufficiently described the nature of the present Invention, as well as how to put it into practice, it is not necessary to do more extensive explanation for any expert in the Field, including its scope and the benefits derived therefrom, including, in its Essence, can be implemented in other forms realization that differ in Detail from the following example And which will also provide the protection that always not to alter, change or modify its fundamental principle.

    REFERENCES

    [0100] [1] J. Aguirre, D. Peralta salas, realistic examples of chaotic Magnetic Fields created by europhys wires. Lett. 80, 60007, 2007. [0101] [2] Gino Aguirre, J. J., and D. Peralta salas, integrability of Magnetic Fields created by Current distributions nonlinearity 21, 51, 2008. [0102] [3] Hosoda, M. T. Miyaguchi, K. however, and K. Nakamura, Ubiquity of chaotic Magnetic Field Lines generated by three dimensionally crossed wires in Modern Electric Circuits, Phys Rev e Stat nonlin Soft matter Phys. Dec 2009. [0103] [4] T. Hosoda Miyaguchi, M., topology of Magnetic Field Lines: Chaos and bifurcations emerging from two Action Systems, Physical Review e 83, Jan 2011. [0104] [5] J. Aguirre, Luque, D. PEAR to Salt as, motion of charged particles in Magnetic Fields created by Symmetric configurations of wires. Phys D, 239, May 10, 2010. [0105] [6] Alejandro Luque and Daniel Peralta salas, ABC motion of charged particles in Magnetic Fields, Unpublished, DEP Barcelona University Applied Mathematics and analysis. April 2013. [0106] [7] Ram, A. and B. Dasgupta, Generation of chaotic Magnetic Fields and their effect on Particle Motion, EOS trans. Agu, 87 (52) Fall meet. Supplementum, ng31b - 1593, 2006. [0107] [8] Ram, A. and B. Dasgupta, Spatially Chaotic Dynamics of charged particles in Magnetic Fields, Phys. Plasmas, 17, 122104.2010. [0108] [9] E. Ott, Chaos in dynamical Systems, Cambridge University Press, Cambridge, 2002. [0109] [10] Arnold Saw Kozlov, V V, neishtadt al Mathematical aspects of classical and Celestial Mechanics, dynamical Systems III, 3rd edn. Series: Encyclopaedia of Mathematical Sciences, Vol 3. Berlin, Springer, 2006 [0110] [11] Scholl E. and H. G. Schuster, Handbook of Chaos control, 2nd edwiley VCH, 2008. [0111] [12] Graham Alan Webb, Modern Magnetic Resonance, Springer, 2008. [0112] [13] Tomchuk P. M. and B. p. tomchuk, Optical Absorption by Small Metallic particles, ZH. EKSP. Teor. Fiz.112, 661 - 678, Aug 1997. [0113] [14] Asenjo Garcia, Manjavacas et al., magnetic polarization in the Optical Absorption of metallic Nanoparticles, Optics Express 28142, vol. 20, no. 27, Dec 2012. [0114] [15] Shanghua Li, Meng Meng Lin, et al, nanocomposites of Polymer and inorganic nanoparticles for Optical and Magnetic applications nano Reviews: 5214 - doi: 1 10. Nano.v1i0.5214 3402/2010. [0115] [16] Panikkanvalappil R. sajanlal, theruvakkattil s, et al, anisotropic Nanomaterials: Growth, structure, Assembly, and functions, nano 2 5883 - doi:: Reviews 10. 3402/nano.v2i0.58832011. [0116] [17] Dev Kumar Chatterjee, parmeswaran diagaradjane, et al, nanoparticle mediated hyperthermia in cancer therapy, Ther deliv 1; 2 (8): 1001 - 1014. Aug 1 201. [0117] [18] KK Jain, Advances in the field of nanooncology BMC medicine2010,8: 83. [0118] [19] S.s.r. Challa Kumar, Faruq Mohammad magnetic Nanomaterials for hyperthermia based Therapy and controlled drug delivery Advanced Drug Delivery Reviews (2011) - 63 789 808. [0119] [20] Dykman L. N. G. khlebtsov, Gold nanoparticles in Biology and Medicine: Recent advances and Prospects , Acta Naturae I vol. 3, no. 2 (9), 2011. [0120] [21] C. Kramberger, H. Shiozawa, et al, Anisotropy in the x-ray absorption of vertically aligned single wall carbon nanotubes. Phys. Stat. sol. (b) 244, no. 11, 1868 - 3981, 2007. [0121] [22] Fischer, J. E. W. zhoum, et al, magnetically aligned single wall carbon nanotube Films, Preferred orientation and anisotropic Transport Properties, Journal of Applied Physics, Volume 93, Number 4, 2003. [0122] [23] Slatkin D N et al. MicroBEAM radiation therapy. Phys med 1992; 19: 1395. PubMed: 1461201 []. [0123] [24] F.A. dilmanian et al, X - Ray microbeams: Tumor Therapy and central nervous system , nuci A. methods Phys Res 2005 August 11; 548 (1 - 2): 30-37. [0124] [25] Atsushi Uyama et al, a Narrow MicroBEAM for tumor growth suppression is more effective than a wide MicroBEAM: an in vivo study using implanted Human glioma cells, J. Synchrotron Rad. (2011). 18 - 671 678. [0125] [26] Gary Cook Jr. Clinical nuclear medicine 4th edition - Hodder Arnold Publication (2007). [0126] [27] Berger, M. J. J. S. coursey, M. A. Zucker and J. Chang, available online: http:// Physics. NIST. Gov/Star, NIST, Gaithersburg, Md. (2005). [0127] [28] Stefanescu, Open Magnetic Field lines, Rev. Roum. Phys.31701-21, 1986. [0128] [29] John Sheffield, The Physics of Magnetic Fusion Reactor Oak Ridge National Laboratory, Oak, Tenn. 37831. [0129] [30] T. E. Evans et al. Edge Resonant Magnetic stability and Transport Control with [0130] Perturbations in Tokamak plasmas collisionless Nature Physics , June 2006, ucrl-jrnl-222189. [0131] [31] J. A. Stratton 1941electromagnetic Theory (New York: McGraw Hill, 1986. [0132] [32] Binhi V. N. magnetobiology (Academic Press, New York 2002).