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MR Elastography (MRE) is a new procedure that allows in-vivo measurement
of the elasticoviscous parameters of tissue. Based on Magnetic Resonance
Tomography (MRT), it does not use any potentially harmful X-ray radiation.
It can be used, amongst other things, to diagnose cancer: manual palpation
has always been used to search for and to classify lesions. This procedure
thus offers very good prospects for improving the differential diagnosis
in breast cancer diagnosis.
It is more complicated to measure the elasticity, for example, than
to measure the absorption coefficient in X-ray mammography. In the latter
there is a direct correlation between the darkening of the X-ray film
and the local integral absorption of the tissue behind. This is not
the case with elastography. Here one has to infer indirectly from the
local hardness (elasticity) of the tissue because the available non-invasive
image-generating procedures are not sensitive to the physical parameter
'elasticity'. This indirect step is carried out by means of the introduction
of mechanical sinusoidal waves into the tissue in question and simultaneous
measurement of these waves using Magnetic Resonance Tomography (MRT).
The propagation of mechanical waves in complex viscous media (such as
tissue, for example) is described physically by means of a partial differential
equation, i.e. the local properties of the wave are correlated via material
constants (density, compressibility, attenuation and elasticity) with
the properties of the wave in the adjoining areas. If one assumes that
the first two values in the tissue are constant (i.e. density and compressibility)
it is possible, if the wave propagation is known, to determine the attenuation
and the elasticity. In other words: the elastic properties of the tissue
affect the wave propagation and if the wave propagation is known (or
measured) it is possible to calculate the elastic properties. This correlation
is well known. Until now, however, it has not been technically possible
to measure the wave propagation. This is where MRE uses MRT as a tool
to measure the wave propagation.
MRT is based on the linking of the magnetic properties of the atomic
cores with external radio and magnetic fields. As a result, it is possible
to generate images of the body interior, whereby the image contrast
is normally proportional to certain local relaxation times or to the
density of the nuclear spin. This contrast can, however, be modified
so that it is proportional to the movement of an object. The introduction
of the sinusoidal mechanical wave into the tissue leads to a periodic
oscillation (forced vibration). It is then possible to synchronise the
MRT measurement with the mechanical wave in such a way that the contrast
in the MRT image is proportional to the wave. MRT thus serves purely
as a 'camera' to generate a 'snapshot' of the mechanical wave in the
tissue. A number of snapshots taken at different intervals give rise
to a film, which approximates the continuous propagation of the wave
in the tissue. This image sequence forms the basis for the subsequent
reconstruction of the elastic parameters..
Shortly after the start of the mechanical vibration, extremely complex
wave propagation phenomena take place within the tissue. In order to
simplify the reconstruction problem, the MRT measurement commences approximately
2 seconds after the vibration has started. This time domain is known
as the stationary time domain, and the tissue now oscillates sinusoidally.
A sinusoidal three-dimensional oscillation can be characterised by amplitude
and phase in the relevant direction in space, i.e. six numerals per
point. The above-mentioned film that is made of the wave propagation
makes it possible to determine exactly these six numerals. Using MRT
it is thus possible for the oscillation of the tissue to be measured
locally. 'All' that is then required to calculate the elasticoviscous
parameters is for the differential equation system to be inverted. The
images generated by means of MRE are thus purely synthetic. They are
derived indirectly from the characteristics of the wave propagation,
whereby the MRT is used to measure the wave.
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