Purpose
As stated by Jacques Hadmard in 'science and hypothesis',
mathematical creation and mathematical intelligence are not without connection with creation in general and with general intelligence.
A great proportion of prominent mathematicians have been creators in other fields.
One of the greatest,
Gauss,
carried out important and classical experiments on magnetism; and Newton's fundamental discoveries in optics are well known.
And Leibniz influenced by their mathematical abilities on philosophical ones.
The research perspectives I propose here,
are motivated by my background and previous research,
and...
Methods and Materials
Force imaging with stimulated Matlab 7.0.4 (MathWorks,
Natick,
MA) software provides high spatial resolution measurement of three-dimensional myocardial points tracking (Lagrangian displacement) over the entire cardiac cycle.
Echocardiography was performed on 70 healthy volunteers.
Data evaluated included: velocity (radial,
longitudinal,
rotational and vector point),
displacement (longitudinal and rotational),
strain rate (longitudinal and circumferential) and strain (radial,
longitudinal and circumferential) of all 16 LV myocardial segments that were prospectively acquired on Vivid E9 with 4V probe (GH Healthcare,
Horton,
N).
The medical ethics committee of Shahid...
Results
Assembled from data shown in (Figure 4),
we can illustrate a segment of the left ventricle with tracking results from all areas through the heart wall from endocardium to epicardium (Figure 5).
We have suggested a scalar quantity to measure the tangential shortening in a manner that is not sensitive to the deformations in the tangent plane. This quantity,
known as the shortening index (SI),
measures the change of the in-plane area based on the stretch tensor U,
in the radial,
longitudinal,
and circumferential (RLC)...
Conclusion
Previous investigations have strongly used searching points by image-processing machinery method,
but our study demonstrates regional and global of the myocardial function by introducing a mathematical fibered model of it,
which is rendered by a piece of software.
This method is also very robust,
reproducible,
and user friendly.
Its clinical values remain to be established,
however.
As another application of the method described in this presentation,
we can model the motion of blood in the ventricles.
This initiation is for normal and diseased hearts.
The...
References
Ranjbar S.
Karvandi M.
Ajzachi M.
System and method modeling left ventricle of heart.
US Patent 2013; patent number 8,414,490.