• Title/Summary/Keyword: Electrical impedance tomography

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A NEW ALTERNATIVE ELLIPTIC PDE IN EIT IMAGING

  • Kim, Sungwhan
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.6
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    • pp.1291-1302
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    • 2012
  • In this paper, we introduce a new elliptic PDE: $$\{{\nabla}{\cdot}\(\frac{|{\gamma}^{\omega}(r)|^2}{\sigma}{\nabla}v_{\omega}(r)\)=0,\;r{\in}{\Omega},\\v_{\omega}(r)=f(r),\;r{\in}{\partial}{\Omega},$$ where ${\gamma}^{\omega}={\sigma}+i{\omega}{\epsilon}$ is the admittivity distribution of the conducting material ${\Omega}$ and it is shown that the introduced elliptic PDE can replace the standard elliptic PDE with conductivity coefficient in EIT imaging. Indeed, letting $v_0$ be the solution to the standard elliptic PDE with conductivity coefficient, the solution $v_{\omega}$ is quite close to the solution $v_0$ and can show spectroscopic properties of the conducting object ${\Omega}$ unlike $v_0$. In particular, the potential $v_{\omega}$ can be used in detecting a thin low-conducting anomaly located in ${\Omega}$ since the spectroscopic change of the Neumann data of $v_{\omega}$ is inversely proportional to thickness of the thin anomaly.

물체 회전이 필요 없는 자기공명전기임피던스 촬영법

  • 오석훈;이원희;이수열;우응제;조민형
    • Proceedings of the KSMRM Conference
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    • 2003.10a
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    • pp.17-17
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    • 2003
  • 목적: 생체 조직에서의 전기임피던스 분포는 생리적 기능에 대하여 풍부한 정보를 가지고 있다. 이러한 전기임피던스 분포는 전기임피던스단층촬영법(EIT)으로 구할 수 있으나 공간해상도가 열악하여 그 사용이 보편화되지 못하고 있다. 기존의 EIT의 한계점을 극복하기 위하여 EIT와 MRI 기술을 결합한 자기공명임피던스단층촬영법(MREIT: Magnetic Resonance Electrical Impedance Tomography)이 최근 제안되었다. MREIT는 영상복원 과정에서 x, y, z 3방향의 자속밀도 벡터를 필요로 하므로 MRI용 자석 내에서 물체를 3차원으로 회전하여 자속밀도 벡터를 구해야 한다. 이러한 3차원 회전은 MREIT가 실제 임상에 적용되는데 있어서 한계점으로 지적되고 있다. 본 논문에서는 물체 회전을 하지 않고 전기임피던스 분포를 얻을 수 있는 새로운 MREIT 방법을 제안하였다. 새로운 MREIT 방법의 원리에 대해서 소개하고 0.3T의 주자장세기를 갖는 연구용 MRI 시스템에서 얻은 MREIT영상을 소개하고자 한다.

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Image Reconstruction of Dispersed Phases in DCHXs

  • Wongee Chun;Kim, Min-Chan;Lee, Heon-Ju;Lee, Yoon-Joon;Kang, Yong-Heack;Kim, Hyung-Taek
    • Journal of Energy Engineering
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    • v.10 no.2
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    • pp.83-89
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    • 2001
  • This paper studies the possibility of applying the EIT(Electrical Impedance Tomography) technique for investigating the formation and movement of dispersed phase droplets as they stream through a Direct Contact Heat Exchanger(DCHX). In most direct contact liquid-liquid heat exchangers, oil or hydro-carbon with a density different (lighter or heavier) from water is normally used as dispersed working fluid. The main difficulty that arises with arrangement lies in the extraction of performance parameters and visualization of dispersed phase fluids if required. In order to delve into these problems, this paper introduces a number of cases regarding the operation and principle of DCHXs and investigates the possibility of applying the EIT technique whose results are given for several examples.

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THE CURRENT STATUS OF BIOMEDICAL ENGINEERING IN THE USA

  • Webster, John G.
    • Proceedings of the KOSOMBE Conference
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    • v.1992 no.05
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    • pp.27-47
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    • 1992
  • Engineers have developed new instruments that aid in diagnosis and therapy Ultrasonic imaging has provided a nondamaging method of imaging internal organs. A complex transducer emits ultrasonic waves at many angles and reconstructs a map of internal anatomy and also velocities of blood in vessels. Fast computed tomography permits reconstruction of the 3-dimensional anatomy and perfusion of the heart at 20-Hz rates. Positron emission tomography uses certain isotopes that produce positrons that react with electrons to simultaneously emit two gamma rays in opposite directions. It locates the region of origin by using a ring of discrete scintillation detectors, each in electronic coincidence with an opposing detector. In magnetic resonance imaging, the patient is placed in a very strong magnetic field. The precessing of the hydrogen atoms is perturbed by an interrogating field to yield two-dimensional images of soft tissue having exceptional clarity. As an alternative to radiology image processing, film archiving, and retrieval, picture archiving and communication systems (PACS) are being implemented. Images from computed radiography, magnetic resonance imaging (MRI), nuclear medicine, and ultrasound are digitized, transmitted, and stored in computers for retrieval at distributed work stations. In electrical impedance tomography, electrodes are placed around the thorax. 50-kHz current is injected between two electrodes and voltages are measured on all other electrodes. A computer processes the data to yield an image of the resistivity of a 2-dimensional slice of the thorax. During fetal monitoring, a corkscrew electrode is screwed into the fetal scalp to measure the fetal electrocardiogram. Correlations with uterine contractions yield information on the status of the fetus during delivery To measure cardiac output by thermodilution, cold saline is injected into the right atrium. A thermistor in the right pulmonary artery yields temperature measurements, from which we can calculate cardiac output. In impedance cardiography, we measure the changes in electrical impedance as the heart ejects blood into the arteries. Motion artifacts are large, so signal averaging is useful during monitoring. An intraarterial blood gas monitoring system permits monitoring in real time. Light is sent down optical fibers inserted into the radial artery, where it is absorbed by dyes, which reemit the light at a different wavelength. The emitted light travels up optical fibers where an external instrument determines O2, CO2, and pH. Therapeutic devices include the electrosurgical unit. A high-frequency electric arc is drawn between the knife and the tissue. The arc cuts and the heat coagulates, thus preventing blood loss. Hyperthermia has demonstrated antitumor effects in patients in whom all conventional modes of therapy have failed. Methods of raising tumor temperature include focused ultrasound, radio-frequency power through needles, or microwaves. When the heart stops pumping, we use the defibrillator to restore normal pumping. A brief, high-current pulse through the heart synchronizes all cardiac fibers to restore normal rhythm. When the cardiac rhythm is too slow, we implant the cardiac pacemaker. An electrode within the heart stimulates the cardiac muscle to contract at the normal rate. When the cardiac valves are narrowed or leak, we implant an artificial valve. Silicone rubber and Teflon are used for biocompatibility. Artificial hearts powered by pneumatic hoses have been implanted in humans. However, the quality of life gradually degrades, and death ensues. When kidney stones develop, lithotripsy is used. A spark creates a pressure wave, which is focused on the stone and fragments it. The pieces pass out normally. When kidneys fail, the blood is cleansed during hemodialysis. Urea passes through a porous membrane to a dialysate bath to lower its concentration in the blood. The blind are able to read by scanning the Optacon with their fingertips. A camera scans letters and converts them to an array of vibrating pins. The deaf are able to hear using a cochlear implant. A microphone detects sound and divides it into frequency bands. 22 electrodes within the cochlea stimulate the acoustic the acoustic nerve to provide sound patterns. For those who have lost muscle function in the limbs, researchers are implanting electrodes to stimulate the muscle. Sensors in the legs and arms feed back signals to a computer that coordinates the stimulators to provide limb motion. For those with high spinal cord injury, a puff and sip switch can control a computer and permit the disabled person operate the computer and communicate with the outside world.

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Reconstruction of Magnetic Resonance Phase Images using the Compressed Sensing Technique (압축 센싱 기법을 이용한 MRI 위상 영상의 재구성)

  • Lee, J.E.;Cho, M.H.;Lee, S.Y.
    • Journal of Biomedical Engineering Research
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    • v.31 no.6
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    • pp.464-471
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    • 2010
  • Compressed sensing can be used to reduce scan time or to enhance spatial resolution in MRI. It is now recognized that compressed sensing works well in reconstructing magnitude images if the sampling mask and the sparsifying transform are well chosen. Phase images also play important roles in MRI particularly in chemical shift imaging and magnetic resonance electrical impedance tomography (MREIT). We reconstruct MRI phase images using the compressed sensing technique. Through computer simulation and real MRI experiments, we reconstructed phase images using the compressed sensing technique and we compared them with the ones reconstructed by conventional Fourier reconstruction technique. As compared to conventional Fourier reconstruction with the same number of phase encoding steps, compressed sensing shows better performance in terms of mean squared phase error and edge preservation. We expect compressed sensing can be used to reduce the scan time or to enhance spatial resolution of MREIT.

Conductivity Imaging of a Canine Head using a 3T MREIT System with a Carbon-Hydrogel Electrode: Postmortem Experiment (3T MREIT 시스템을 이용한 실험견 사체의 두부 도전율 영상)

  • Jeong, Woo-Chul;Kim, Young-Tae;Minhas, Atul S.;Kim, Hyung-Joong;Lee, Tae-Hwi;Kang, Byeong-Teck;Park, Hee-Myung;Woo, Eung-Je
    • Journal of Biomedical Engineering Research
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    • v.30 no.2
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    • pp.179-184
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    • 2009
  • Magnetic Resonance Electrical Impedance Tomography (MREIT) is a new bio-imaging modality providing cross-sectional conductivity images from measurements of internal magnetic flux densities produced by externally injected currents. Recent MREIT studies demonstrated successful conductivity image reconstructions of postmortem and in vivo canine brain. However, the whole head imaging was not achieved due to technical issues related with electrodes and noise in measured magnetic flux density data. In this study, we used a new carbon-hydrogel electrode with a large contact area and injected 30 mA imaging current through a canine head. Using a 3T MREIT system, we performed a postmortem canine experiment and produced high-resolution conductivity images of the entire canine head. Collecting magnetic flux density data inside the head subject to multiple injection currents, we reconstructed cross-sectional conductivity images using the harmonic $B_z$ algorithm. The conductivity images of the canine head show a good contrast not only inside the brain region including white and gray matter but also outside the brain region including the skull, temporalis muscle, mandible, lingualis proprius muscle, and masseter muscle.

Analysis of Eddy Current Effect in Magnetic Resonance Imaging Using the Finite Element Method (유한요소법에 의한 자기공명영상시스템에서의 와전류 영향 분석)

  • Lee, Jeong-Han;Gang, Hyeon-Su;Jo, Min-Hyeong;Mun, Chi-Ung;Lee, Gang-Seok;Lee, Su-Yeol
    • Journal of Biomedical Engineering Research
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    • v.20 no.1
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    • pp.53-58
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    • 1999
  • Eddy current in MRI systems degrades gradient field linearity and distorts gradient waveform. When the waveform distortion is spatially variant, it is very difficult to perform special imaging techniques such as the echo planar imaging technique or the fast spin echo imaging technique. In this study, we have developed a new technique to estimate the distorted gradient waveforms at any points inside the imaging region using the finite element method. After obtaining the eddy-current-effect transfer function, which represents magnitude and phase characteristics of the gradient field at a particular point, we have used the transfer function to estimate the actual gradient waveforms at the point. To verify the proposed technique, we have compared the estimated gradient waveforms with the measured ones.

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Improved Current Source Design to Measure Induced Magnetic Flux Density Distributions in MREIT

  • Oh Tong-In;Cho Young;Hwang Yeon-Kyung;Oh Suk-Hoon;Woo Eung-Je;Lee Soo-Yeol
    • Journal of Biomedical Engineering Research
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    • v.27 no.1
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    • pp.30-37
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    • 2006
  • Injecting currents into an electrically conducting subject, we may measure the induced magnetic flux density distributions using an MRI scanner. The measured data are utilized to reconstruct cross-sectional images of internal conductivity and current density distributions in Magnetic Resonance Electrical Impedance Tomography (MREIT). Injection currents are usually provided in a form of mono-polar or bi-polar pulses synchronized with an MR pulse sequence. Given an MRI scanner performing the MR phase imaging to extract the induced magnetic flux density data, the current source becomes one of the key parts determining the signal-to-noise ratio (SNR) of the measured data. Since this SNR is crucial in determining the quality of reconstructed MREIT images, special care must be given in the design and implementation of the current source. This paper describes a current source design for MREIT with features including interleaved current injection, arbitrary current waveform, electrode switching to discharge any stored charge from previous current injections, optical isolation from an MR spectrometer and PC, precise current injection timing control synchronized with any MR pulse sequence, and versatile PC control program. The performance of the current source was verified using a 3T MRI scanner and saline phantoms.

Identification of Subsurface Discontinuities via Analyses of Borehole Synthetic Seismograms (시추공 합성탄성파 기록을 통한 지하 불연속 경계면의 파악)

  • Kim, Ji-Soo;Lee, Jae-Young;Seo, Yong-Seok;Ju, Hyeon-Tae
    • The Journal of Engineering Geology
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    • v.23 no.4
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    • pp.457-465
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    • 2013
  • We integrated and correlated datasets from surface and subsurface geophysics, drilling cores, and engineering geology to identify geological interfaces and characterize the joints and fracture zones within the rock mass. The regional geometry of a geologically weak zone was investigated via a fence projection of electrical resistivity data and a borehole image-processing system. Subsurface discontinuities and intensive fracture zones within the rock mass are delineated by cross-hole seismic tomography and analyses of dip directions in rose diagrams. The dynamic elastic modulus is studied in terms of the P-wave velocity and Poisson's ratio. Subsurface discontinuities, which are conventionally identified using the N value and from core samples, can now be identified from anomalous reflection coefficients (i.e., acoustic impedance contrast) calculated using a pair of well logs, comprising seismic velocity from suspension-PS logging and density from logging. Intensive fracture zones identified in the synthetic seismogram are matched to core loss zones in the drilling core data and to a high concentration of joints in the borehole imaging system. The upper boundaries of fracture zones are correlated to strongly negative amplitude in the synthetic trace, which is constructed by convolution of the optimal Ricker wavelet with a reflection coefficient. The standard deviations of dynamic elastic moduli are higher for fracture zones than for acompact rock mass, due to the wide range of velocities resulting from the large numbers of joints and fractures within the zone.

Numerical Analysis of Three-Dimensional Magnetic Resonance Current Density Imaging (MRCDI) (3차원 자기공명 전류밀도 영상법의 수치적 해석)

  • B.I. Lee;S.H. Oh;E.J. Woo;G. Khang;S.Y. Lee;M.H. Cho;O. Kwon;J.R. Yoon;J.K. Seo
    • Journal of Biomedical Engineering Research
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    • v.23 no.4
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    • pp.269-279
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    • 2002
  • When we inject a current into an electrically conducting subject such as a human body, voltage and current density distributions are formed inside the subject. The current density within the subject and injection current in the lead wires generate a magnetic field. This magnetic flux density within the subject distorts phase of spin-echo magnetic resonance images. In Magnetic Resonance Current Density Imaging (MRCDI) technique, we obtain internal magnetic flux density images and produce current density images from $\bigtriangledown{\times}B/\mu_\theta$. This internal information is used in Magnetic Resonance Electrical Impedance Tomography (MREIT) where we try to reconstruct a cross-sectional resistivity image of a subject. This paper describes numerical techniques of computing voltage. current density, and magnetic flux density within a subject due to an injection current. We use the Finite Element Method (FEM) and Biot-Savart law to calculate these variables from three-dimensional models with different internal resistivity distributions. The numerical analysis techniques described in this paper are used in the design of MRCDI experiments and also image reconstruction a1gorithms for MREIT.