Exact(1)
In order to determine whether the multi-vessel subdomains are representative of larger domains, simulations with equivalent initial distributions of vessels but different domain sizes are performed.
Similar(59)
In addition, the distributions of vessel sizes were quite different; for example, the U87si and parental tumors had more large-diameter vessels (>25 µm) than the U87-C tumors (Figure 2B).
We would not expect to obtain a detailed match at later time points, since we simulate a stochastic system, but we would expect agreement between experimental and simulated values for certain characteristics, such as vessel volume fractions and the distributions of vessel radii and segment lengths.
Measurements of vascular length, vessel segment numbers, diameter scaling coefficient (for all vessels >100 μm), and the distributions of vessel diameters and vascular volumes were extracted from the resultant tubular models.
"I do not wish," Montross writes, "to hear 'stroke' and think of the distribution of vessels to the brain and the territories they serve instead of my grandmother's now-curled left hand and stooped walk".
Figure 9(A)–(C) shows the initial distribution of vessels and the different boundary conditions.
In this approach it can be assumed that fine details of the microvasculature (i.e. its branched architecture, distribution of vessels sizes etc) and tissue do not need to be modeled explicitly.
Vessel distribution was determined by calculating the frequency distribution of vessels with different areas.
Blood vessel morphology was assessed by grouping the tumors into two groups according to the form and distribution of vessels.
Especially in tumours containing an uneven distribution of vessels, determinations of mean vascular density can be highly misleading in terms of tumour oxygen delivery.
Comparison of surfaces before and after surgery and 3(b)) shows improvement of corneal transparency in the central area and irregular distribution of vessels in the limbal area.
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