For straight paths, both morphological and acoustic tortuosities are equal to 1 because in this case, we can write: <[[?
In order to estimate the morphological tortuosities of every path linking a voxel v of a set X to two opposite faces A and B of X (Eq.
5 cm in the model, equivalent to 2 m in the field) divided by the velocity of the slowest streamline in a ponding zone or segment within a zone gave the required travel times, allowing for the tortuosities
in that zone.
2004) and two male cadavers were discarded by the presence of abnormal tortuosities
of the cervical ICA (unpublished data).
This is not the case for the 100 cm starting condition: closest approach, path tortuosities
, distance traveled, and time to closest approach for the normal and reversed sensors are not significantly different and in fact are numerically similar.
Mean and variance of tortuosities
computed for simulated and extracted fibers.
This has the essential advantage that not only a single value is obtained, like the effective path length being a mean value, but a whole distribution of local geometric tortuosities
can be considered, which contains much more information.
On the one hand the histograms of tortuosities in the transverse Ox and Oy directions are almost superimposed because of the isotropy of the orientations of the fibres and cylinders in the xOy planes.
The transverse tortuosities of cylinders have mean values and standard deviations relatively similar to those of real fibres.