Convex Hull analysis

Purpose

Use Convex Hull Analysis to measure the size of a microvascular network.

How it works

Vesselucida Explorer measures the size of the microvascular network by interpreting a structure as a solid object controlling a given amount of physical space. The amount of physical space is defined in terms of volume, surface area, area, and/or perimeter.

Significance of the dendritic field

Cells with larger dendritic fields can potentially receive input from more cells of other types. When cells of the same type have overlapping dendritic fields, more than one of them can receive from the same pre-synaptic field.

Analysis options

Vessel Structures

Each vessel individually: Check the box to report on each vessel individually.

All Selected Objects

Choose the type of convex hull analysis to run on the selected objects:

Convex Hull 3D: A convex polygon is generated by connecting the tips of the distal segments. The volume and surface area of the polygon are reported.

Another way to think about the analysis is to imagine a plastic sheet wrapped around the selected structure(s), with the plastic stretched tightly between the most distal points of adjacent segments. The Volume encased by the sheet is calculated, and the Surface area is reported as well. The Feret min and Feret max reported are the shortest and longest end-to-end distance in the convex hull respectively.

XY Area Convex Hull: This 2D analysis treats selected tracings as planar shapes and calculates the area enclosed by a "rubber band" around them. It is performed on a projection of the data.

  • Z information is not used in the Area reported.

  • The Perimeter reported is the distance around the most distal points that form the convex hull (length of the "rubber band")

Visualize surface: Check the box to view the hull that is drawn in the graphical window.

Procedure

  1. Select the structures to analyze (see Selecting structures).

  2. Select Convex Hull Analysis from the Spatial dropdown menu on the Analyze ribbon. Vesselucida Explorer opens the Convex Hull Analysis window.

  3. Click the Convex Hull Analysis button on the Analyze ribbon. Vesselucida Explorer opens the Convex Hull Analysis window.

  4. Select the desired parameters and click OK to run the Convex hull analysis.

References

Rodieck, R. W. (1973). The vertebrate retina: Principles of structure and function. Oxford, England: W. H. Freeman.