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Analysis

marwan-abdellah edited this page May 10, 2023 · 31 revisions

Table of Contents

Morphology Skeleton & Terminology

A neuronal morphology has two distinct structures: a cell body (or soma) and arbors (or neurites, trees). Traditionally, the soma is simply represented by a centroid, average radius and two-dimensional projective profile. The arbors emanate from a cell body (soma), where each arbor is composed of a set of raw samples. Two connected sampled define a segment, and a set of segments between two branching points defines a section. Multiple connected sections define an arbor.


A schematic view of a neuronal morphology skeleton.

Sample

A morphological sample is a point in the three-dimensional space that is digitally reconstructed by an operator from an optical micorscopy stack.

Note In similar contexts, the sample can be referred to as point.

Segment

A morphological segment is a connection between two samples only.

Note In similar contexts, the segment can be referred to as strand.

Section

A morphological section is a list of connected segments between two branching points.

Note In similar contexts, the section can be referred to as branch.

Arbor

A morphological arbor is a list of connected branches starting from the soma and terminating at one or multiple leaf sections. It has a similar structure to acyclic graphs or trees. Arbors are classified into apical dendrites (in green), basal dendrites (in red) and axons (in blue).

Note In similar contexts, the arbor can be referred to as neurite or tree.

Soma Kernels

Soma Centroid

The Cartesian center of the soma. This point is by default located at the origin, unless otherwise specified.

Note To avoid any mesh reconstruction artifacts, NeuroMorphoVis by default shifts any morphologies that are not centered at the origin back to the origin.

Soma Radius (Reported)

The radius of the soma as reported in the morphology file in μm.

Soma Minimum Radius

The minimum radius of the soma as based on the reported profile points and the root samples of all the connected arbors (or stems).

Soma Maximum Radius

The maximum radius of the soma as based on the reported profile points and the root samples of all the connected arbors (or stems).

Soma Average Radius

The average radius of the soma as based on the reported profile points and the root samples of all the connected arbors (or stems).

Soma Surface Area (Reported)

The approximate surface area of the soma based on the reported radius in the morphology file in μm².

Soma Volume (Reported)

The approximate volume of the soma based on the reported radius in the morphology file in in μm³.

Number of Soma Profile Points

Number of profile points of the soma as reported in the morphology file.

Branches Kernels

THe branching kernels are applied recursively on the entire morphology skeleton, but some of thre results are reported for the morphology and per arbor.

Morphology Bounding Box

We summarize the morphology bounding box by

  • BBox PMin: The pMin of the bounding box.
  • BBox PMin:The pMax of the bounding box.
  • BBox Center:The center of the bounding box.
  • BBox Bounds:The dimensions of the bounding box.

Note that the width, height, depth of the morphology bounds are computed along the X, Y and Z axes respectively.

Front View

This plot shows an orthographic projection of the front view (XY) of the neuron.

Side View

This plot shows an orthographic projection of the side view (ZY) of the neuron.

Top View

This plot shows an orthographic projection of the top view (XZ) of the neuron.

Dendrogram

This plot shows the dendrogram of the neuron. The color codes reflect each arbor in the neuron as shown in the projections.

General Kernels

Number of Samples

The total number of samples (or digitized points) in the morphology or per arbor.

Number of Segments

The total number of segments (or strands) in the morphology or per arbor. The number of segment is simply less than the number of samples by one.

Number of Sections

The total number of sections (or branches) in the morphology or per arbor. The following neuron has seven sections.

Apical Dendrites

The total number of apical dendrites in the morphology. Normally, an excitatory neuronal morphology has a single apical dendrite, but we explicitly added this parameter in case the morphology has more than one. The following neuron has an apical dendrite colored in green. The other arbors are faded.

Basal Dendrites

The total number of basal dendrites in the morphology. The following neuron has six basal dendrites colored in red. The other arbors are faded.

Axons

The total number of axons in the morphology. Normally, a neuronal morphology has a single axon, but we explicitly added this parameter in case the morphology has more than one or has no axon reconstructed. The following neuron has an axon colored in blue. The other arbors are faded.

Number of Neurites (Arbors)

The total number of the arbors (independent trees) in the morphology whether connected to the soma or not. This is the sum of the apical dendrites, basal dendrites and axons in the morphology. The following neuron has eight arbors.

Number of Stems

The number of arbors (branches) that emanate directly from the soma. Each stem is basically an independent subtree of branches. For example, the morphology shown in the following image has seven stems.

Number of Tips (Terminal Tips)

The total number number of terminal tips (samples terminating leaf nodes in the graph) in the morphology or per arbor. The following neuron has 13 terminal tips.

Number of Bifurcations

The total number of bifurcations (or sections with two children) in the morphology or per arbor. The following neuron has only two bifurcations.

Number of Trifurcations

The total number of trifurcations (or sections with three children) in the morphology or per arbor. Trifurcations are not common, but they exist in some morphologies.

Maximum Branching Order

The maximum branching order of all the arbors in the morphology or per arbor.

Contraction

Maximum Path Distance

The maximum distance along an arbor from its root sample to its most far leaf in the morphology.

Samples Kernels

Minimum Number of Samples per Section

The lowest number of samples a section has in the morphology or per arbor.

Maximum Number of Samples per Section

The largest number of samples a section has in the morphology or per arbor.

Average Number of Samples per Section

The average number of samples a section has in the morphology or per arbor.

Minimum Sample Radius

The radius of the smallest sample in the morphology or per arbor.

Maximum Sample Radius

The radius of the largest sample in the morphology or per arbor.

Average Sample Radius

The avaerage radius of all the samples sample in the morphology or per arbor.

Burke Taper

The Burke taper range per arbor.

Daughter Ratio

Parent Daughter Ratio

Angles Kernels

Local Bifurcation Angles

The local bifurcation angle is computed from the first two samples along the section. We compute the minimum, maximum and average local bifurcation angles in the morphology or per arbor.

Global Bifurcation Angles

The global bifurcation angle is computed from the first and last samples of the section. We compute the minimum, maximum and average global bifurcation angles in the morphology or per arbor.

Length Kernels

Length

The aggregate length of all the sections in the morphology or per arbor in μm.

Minimum Section Length

The length of the shortest section in the morphology or per arbor in μm.

Maximum Section Length

The length of the longest section in the morphology or per arbor in μm.

Average Section Lenght

The average section length in the morphology or per arbor in μm.

Minimum Segment Length

The length of the shortest segment in the morphology or per arbor in μm.

Maximum Segment Length

The length of the longest segment in the morphology or per arbor in μm.

Average Segment Lenght

The average segment length in the morphology or per arbor in μm.

Surface Area Kernels

Total Morphology Surface Area

The total surface area of the morphology or per arbor in μm².

Minimum Section Surface Area

The surface area of the smallest section in the morphology or per arbor in μm².

Maximum Section Surface Area

The surface area of the largest section in the morphology or per arbor in μm².

Average Section Surface Area

The average section surface area in the morphology or per arbor in μm².

Minimum Segment Surface Area

The surface area of the smallest segment in the morphology or per arbor in μm².

Maximum Segment Surface Area

The surface area of the largest segment in the morphology or per arbor in μm².

Average Segment Surface Area

The average segment surface area in the morphology or per arbor in μm².

Volume Kernels

Total Morphology Volume

The total volume of the morphology or per arbor in μm³.

Minimum Section Volume

The volume of the smallest section in the morphology or per arbor in μm³.

Maximum Section Volume

The volume of the largest section in the morphology or per arbor in μm³.

Average Section Volume

The average section volume in the morphology or per arbor in μm³.

Minimum Segment Volume

The volume of the smallest segment in the morphology or per arbor in μm³.

Maximum Segment Volume

The volume of the largest segment in the morphology or per arbor in μm³.

Average Segment Volume

The average segment volume in the morphology or per arbor in μm³.

Artifacts

Number of Zero-radius Samples

The total number of zero-radii samples (epsilon value 1e-3 or 1 nm) in the morphology or per arbor.

Number of Zero-length Segments

The total number of zero-length segments (or duplicate samples) or per arbor.

Number of Short Sections

The total number of short sections (length is smaller than the sum of the radii of the terminal samples). These short sections are causing artifacts in the mesh reconstruction process, so it is better to handle them before creating any meshes.

Note We are adding new analysis functions to provide further analysis results on a continuous basis. If you have any questions, please contact us.

Note The table of contents was generated automatically with markdown-toc.

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