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Related Concept Videos

Computed Tomography01:10

Computed Tomography

Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
The technique was invented in the 1970s and is based on the principle that as X-rays pass through the body, they are absorbed or reflected at different levels. In the technique, a patient lies on a motorized platform while a computerized axial tomography (CAT) scanner rotates...
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...

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Combination of boundary element method and finite element method in diffuse optical tomography.

Josias Pierrick Elisee, Adam Gibson, Simon Arridge

    IEEE Transactions on Bio-Medical Engineering
    |July 30, 2010
    PubMed
    Summary

    A new combined boundary element/finite element method (BEM-FEM) improves optical tomography for layered tissues. This BEM-FEM method accurately reconstructs images in complex environments, like infant brains.

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    Area of Science:

    • Biomedical optics
    • Medical imaging
    • Computational modeling

    Background:

    • Optical tomography faces challenges in reconstructing images within layered, turbid media.
    • Existing methods may struggle with complex tissue structures and surrounding layers.
    • Accurate functional imaging requires precise reconstruction algorithms.

    Purpose of the Study:

    • To introduce and validate a novel numerical method, the combined boundary element/finite element method (BEM-FEM), for optical tomography.
    • To assess the BEM-FEM's effectiveness in layered turbid media, specifically focusing on regions of interest.
    • To demonstrate the method's application in functional imaging of the neonatal motor cortex.

    Main Methods:

    • Developed a hybrid BEM-FEM approach, meshing the region of interest and using surface integrals for other areas.
    • Validated the model using concentric spheres against analytical results.
    • Applied the BEM-FEM for in vivo functional imaging of the neonatal brain, comparing it with traditional FEM.

    Main Results:

    • The BEM-FEM model showed good agreement with analytical solutions in spherical phantoms.
    • Reconstructions using BEM-FEM in neonatal brains were effective, even with surrounding superficial layers.
    • The method successfully localized functional activity in the motor cortex.

    Conclusions:

    • The combined BEM-FEM is a powerful and effective numerical method for optical tomography in complex, layered biological tissues.
    • This approach offers improved accuracy and efficiency for functional imaging applications, particularly in neonatal brain studies.
    • BEM-FEM demonstrates significant advantages over traditional FEM when dealing with organs surrounded by heterogeneous superficial layers.