Theory Flashcards
Ultrasound definition
- Mechanical oscillation
- Higher freq (pitch) than 20000 Hz (upper limit human ear)
- Longitudinal in liquid and gas
- Both (longit.& transv.) in solids
Direct piezoelectric effect
US -> electric energy
- Detection of ultrasound
- Piezoelectric insulators accumulate electric charge and gets polarized when mechanical strain (pressure, tension) is applied on them.
This results in measurable potential difference between electrodes on opposite sides of crystals.
Inverse piezoelectric effect
Electric energy -> US
- In the transducer
- Electric voltage applied on electrodes of piezoelectric material -> becomes deformed
Transducer
Device that converts electric energy into mechanical and vice versa
Damping (US)
Parameter that characterises attenuation of US
- J0: initial intensity
- J: intensity after passing theough layer
- Energy lost as heat
Acoustic impedance
Characterizes acoustic properties of medium
- Z = density*velocity
- Boundary surface/interface: acoustic impedance changes
(Higher difference=higher reflection)
Reflexivity
Ratio of reflected:incident intensity
R=0: no reflection
R=1: total reflection
Pulse echo method
d=(c*t)/2
Calculate distance between transducer and reflecting boundary surface
c: sound velocity (known for medium)
t: elapsed time from emission to arrival of sound
Doppler effect
Frequency (and wavelength change as a result of relative motion and source of the observer
- Towards you: shorter wavelength - higher pitch
- Away: longer wavelength - lower pitch
Use of US
1) Diagnostic (ultrasonography, medical sonography)
- Non-invadive
2) Therapy
- Rheumatology
- Musculoskeletal disorders (arthrosis)
- Removal of dental calculus
Source of US
Sine wave oscillator conduct electric pulse (MHz) to trancducer containing the piezoelectric crystals (converts electric->US “Inverse piezoelectric effect”)
Ultrasound pulse…
Should be short - only a couple of time periods (sine waves)
Eigen-frequency
Frequency of largest amplitude vibration of a solid material (own resonance frequency)
*For best US - electric signal should match Eigen-frequency of the piezoelectric material
Detection of US
- US -> transducer (polarizes) -> electric signal (direct piezoelectric effect) -> conducted through cable to electronic amplifier
Diagnostic US imaging methods
1) One dimentional A-image (amplitude modulation)
2) One dimentional B-image (brightness modulation)
3) Two-dimentional B-image (2D, brightness modulated)
- Series of one dimentional B-images at diff. angles
4) M image (motion)
- Info: position of the given surface as function of time
5) Reconstructed 3D image (tomography)
6) Reconstructed 4D image
- Time is 4th dimention - US movie created
7) Doppler methods
Brightness
Pixels - proportional to amplitude of reflected US signal
Doppler shift
= f - f0
Proportional to the relative velocity (v/c) and to the incident frequency
Doppler methods
1) Doppler time-velocity image:
- Doppler-frequency-shift plotted as a function of time - corresponds to velocity of observed surface
2) Color-coded Doppler image:
- Color coded velocity information
3) Doppler flow meter
- Can measure velocity of blood flow in larger blood vessels
Digital image
Information displayed at different discrete spatial points in the form of color
- 2 or 3 dimentional array or matrix of picture elements
Characteristics of the digital image
1) Picture element (pixel)
2) Information associated with the pixel
- XY location: coordinates related to spatial resolution
- Color depth: intensities related to color/gray-scale resolution
3) Spatial resolution
- Number of resolved pixels in the X and Y directions
4) Grayscale/color depth
- Number of resolved colors/grayscale intensities (bit)
Color histogram
- Resolved intensities may be displayed as a function
- Relative frequency of colors or grayscale intensities in the image
Image enhancement techniques
1) Contrast manipulation
- Color transfer function: assigns color to pixel densities (expressed in numerical values)
2) Convolution
- Kernel operation - se eget kort
- Blurry vs skarpt
3) Rank operations
- The pixel is exchanged for another from its ranked neighborhood (e.g noise removal - prikker)
- Min, max, median, mean(?)
Convolution
Image enhancement technique
- Kernel operation -> smoothing, sharpening, edge detect.
- Convolution is the process of adding each element of the image to its local neighbors, weighted by the kernel
Fourier transformation + principle
Fourier principle: any function may be generated as the sum of sine function and its harmonics
Fourier transform: decomposes a function of time (a signal) into the frequencies that make it up (FFT, inverse FFT, masked FFT)
Smoothie analogy:
- What does the Fourier Transform do? Given a smoothie, it finds the recipe.
- How? Run the smoothie through filters to extract each ingredient.
- Why? Recipes are easier to analyze, compare, and modify than the smoothie itself.
- How do we get the smoothie back? Blend the ingredients.
Binary transformation
The image is partitioned according to certain parameters
- Tresholding, segmentation
- Excecution:
1: Select a certain grayscale range of the image
2: The selected pixels form the “foreground”
3: The rest of the pixels form the “background” - Bildet blir svart og hvitt i stedet for gråskala
Binary operations
1) Boolean functions (of image a and b):
- a OR b (union)
- a AND b (intersection)
- a NOR b (union+intersection?)
- NOT a (complement of a)
* Boolean operation: separation of touching objects
2) Erosion, Dilatation, Opening, Closing
- Moving pixels from the foreground to the background and vice versa
- Erosion: svarte prikkene blir mindre og mindre
- Dilatation: svarte prikkene blir større og større
DICOM
Digital imaging and communications in medicine
- En standard for håndtering, lagring, utskrift og overføring av medisinske digitale bilder og informasjon relatert til disse bildene
X-rays (characteristic, wavel, freq, energy)
- Electromagnetic wave
- Wavelength: 10 - 0.01 nm (10nm: soft x-r, 0,01: hard)
- Frequency: 30 * 10^15 - 30 * 10^18 Hz (petaHz-exaHz)
- Energy: 120 eV - 120keV
Generation of X-ray - rotating anode tube
- X-rays are emitted when a high-speed electron hits a metal target - is decelerated (1 % of electron beam converted to protons, rest to heat)
- Rotating anode to deal with heating problem
- Hot-wire cathode (heated by DC circuit)
- Anode at 45 degrees angle to direct toward window
2 mechanisms of X-ray generation + spectrum
1) Bremsstrahlung
- Breaking/deceleration radiation
- Continous energy spectrum
2) Characteristic radiation
- X-ray fluorescence
- Electron collides w/K-shell electron -> K-shell electron ejected -> higher shell electron jumps down -> emission of a single X-ray photon
- Linear energy spectrum
μm
Mass attenuation coefficient (cm^2/g)
= the sum of mass attenuation coefficients of the different absorption mechanisms
Attenuation mechanisms
1) Photoeffect (=> 1 photoelectron)
2) Compton scatter (=> compton photon+compton elec.)
3) Pair production, annihilation (=> electron + positron and the positron gives 2 photons)
* Energy colliding electron must be > 1022 keV
Se bilde ipad!!!
Diagnostic X-ray contrast mechanism
1) between soft tissue and bone: photoeffect (~Z^3)
2) within soft tissue: compton scatter (~density)
X-ray image is a…
…summation image
- Contrast arises due to spatially varying attenuation
Spatial resolution x-ray
Bidirectional x-ray imaging
CT
aka CAT scan
= tomographic digital imaging method that uses x-rays
- Objective: to determine the atten. coeff. of the individual volume elements (voxels)
- Rotation of source and detector
Types of CT techniques
- Conventional (outdated) technique
- Spiral CT technique
- Multidetector spiral CT (MSCT - multi slice…)
CT image reconstruction
1) Algebraic reconstruction techniques
2) Direct Fourier reconstruction
3) Filtered back projection (current method)
CT image and contrast manipulation
- Density: Hounsfield units
- water = 0 HU, fat ~ -200, bone ~ 1000
- Windowing = contrast manipulation
Dual source CT
- Use 2 diff. X-ray sources and detectors simultaneously
- Placed perpendicular to each other
- Dual-energy mode: different accelerating voltages
CT contrast agents
Water-soluble, iodine-containing macromolecule causing enhanced absorbance at the sites of accumulation
- Ionic contrast agents are outdated, must be non-ionic
- Monomeric or dimeric, low osmolality
- Filtration through kidney (nephrotropic)
Imaging blood vessels
CT angiography
- With iv contrast+conventional tech: vessels>1 cm (aorta)
- Spiral CT angiography:
a. Single detector array spiral CT: aorta br.s (>2-3mm)
b. Multidetector array spiral CT: periph vs (>1mm)
HRCT
High resolution CT
- Very thin slices (1-2 mm)
- Very high contrast resolution
Limitations of CAT scanning
- Ionizing radiation (x-ray)
- Irradiation dose 50-100x conventional x-ray
- Direct exposure to radiation
- scattered radiation
Hybrid technologies
- NanoSPECT/CT
MRI fundamentals
Nuclear magnetic resonance imaging
1) Atomic nuclei with nuclear spin are elementary magnets
- Atomic nuclei have mass, angular momentum, charge and magnetic moment
2) Nuclear spin orient in a magnetic field
3) Oriented nuclear spins display precessional motion
- “Precession is a change in the orientation of the rotational axis of a rotating body”
- Net magnetization - se eget kort
4) The system may be excited with radio frequency radiation
- Resonance condition: Larmor frequency
Proton (aka nuclei) mass and charge
Mass: 1.6710^(-24) g
Charge: 1.610^(-19) C
Useful nuclei in MRI
H, C, F, N, P
Net magnetization
Due to spin access in different energy states
- Ratio of magnetic spins in high-energy (antiparallel) and low energy (parallel) states
- Boltzmann distribution
Electromagnetic radiation in MRI
Radio waves
T1 and T2 (MRI)
The approach to thermal equilibrium is known as relaxation. T1 and T2 are relaxation times.
T1: “Spin-lattice relaxation”
- Depends on interaction between elementary magnet (proton) and environment
- Longitudinal relaxation
- Larmor frequency
T2: “Spin-spin relaxation”
- Depends on interaction between elementary magnets (protons)
- Transverse relaxation
- FID: see free induction decay
Spin-echo sequence
Repetitive pulses of excitation and subsequent relaxation
- T2 or transverse relaxation
Contrast in MRI
Determined by interaction of spin systems
- Free water have high mobility
- Solid have low mobility
Spatial encoding in MRI
3D (voxels)
- Magnetic field gradient
- Gradient coils: y-, x- and z-coil (of machine)
- Magnetic field is always in z-direction
Magnetic field direction MRI
Always Z-direction
Image reconstruction MRI
1) Backprojection
2) 2D Fourier transformation
Color contrast MRI is based on…
- Spin density
- Relaxation times
Contrast agents MRI
Positive
- Paramagnetic elements (T1 contrast): Gd, Mn
Negative
- Superparamagnetic, ferromagnetic (T2 contrast): FeIII, MnII
Artifacts and dangers MRI
Artifacts: motion, metals
Dangers/contraindications:
- Metals
- Gradient field - induced current
- Radio frequency field (thermal effects - lens, testis)
MRI angiography
- Saturated spins moves out of the image due to flow of blood
- Non-invasive
MR spectroscopy uses
- Chemical shift
- Identification of metabolites
- Tumor diagnostics
Tractography
Imaging of neural tracts
MRI - Diffusion imaging
Functional MRI
High time resolution images recorded synchronously with physiological processes
MRI and PET
Can be superimposed
Molecular imaging definition
Molecular imaging is the visualization, characterisation and measurement of biological processes at the molecular and cellular levels in humans and other living systems
Molecular imaging ideals
Visualization
- Signal to noise ratio
- Accuracy of information (where?)
- Spatial resolution (yes or no?)
Characterization
- Time resolution (when? How?)
- Magnitude and density of information (how?)
Measurement
- Robustness, repeatability
- Quantitation, accuracy (how much?)