Lacunar Bone Analysis

Parameters per Image

Parameter Name

Output

Unit

Task Type

Lacunar number

Lc.N

1

Lucid.Bone.LacunarParameters

Lacunar density

Lc.N/BV

1/µm³

Lucid.Util.FloatFormula

Lacunar total volume

Lc.TV

µm³

Lucid.Bone.LacunarPorosity

Lacunar porosity

Lc.TV/BV

1

Lucid.Bone.LacunarPorosity

Parameters per Lacuna

Parameter Name

Output

CSV Column Name

Unit

Task Type

Lacunar volume

Lc.V

volume

µm³

Lucid.Bone.LacunarParameters

Lacunar surface area

Lc.S

surface_area

µm²

Lucid.Bone.LacunarParameters

Lacunar surface area to volume ratio

Lc.S/Lc.V

area_volume_ratio

1/µm

Lucid.Bone.LacunarParameters

Lacunar equancy

Lc.Eq

axis_ratio

1

Lucid.Bone.LacunarParameters

Orientation major axis radius

Lc.Or1.Rd

major_axis

µm

Lucid.Bone.LacunarParameters

Orientation minor axis radius

Lc.Or2.Rd

minor_axis

µm

Lucid.Bone.LacunarParameters

The measurements in Lucid.Bone.LacunarParameters above are based on voxel counting.

Parameters per Lacuna (ETH)

Additional parameters can be calculated using task types developed in collaboration with ETH Zurich. These measurements are based on surface meshes. See Case Study: Lacunae Analysis with ETH, Zurich for more details.

Parameter Name

Symbol

CSV Column Name

Unit

Task Type

Lacunar volume

Lc.V

Volume (um^3)

µm³

ETH.Processing.LacunaeMeasurement

Lacunar surface area

Lc.S

Surface Area (um^2)

µm²

ETH.Processing.LacunaeMeasurement

Lacunar surface area to volume ratio

Lc.S/Lc.V

Surface Area to Vol Ratio

1/µm

ETH.Processing.LacunaeMeasurement

Lacunar stretch

Lc.St

Lc_St

1

ETH.Processing.LacunaeMeasurement

Lacunar oblateness

Lc.Ob

Lc_Ob

1

ETH.Processing.LacunaeMeasurement

Lacunar equancy

Lc.Eq

Minor to Major Axis Ratio

1

ETH.Processing.LacunaeMeasurement

Lacunar sphericity

Lc.Sr

akhter_sphr

1

ETH.Processing.LacunaeAddMechColumns

Lacunar angle

Lc.θ

Lc.theta

Degree

ETH.Processing.LacunaeAddMechColumns

Orientation major axis radius

Lc.Or1.Rd

Major Axis (um) (radius) (from PCA on volume)

µm

ETH.Processing.LacunaeMeasurement

Orientation minor axis radius

Lc.Or2.Rd

Minor Axis (um) (radius) (from PCA on volume)

µm

ETH.Processing.LacunaeMeasurement

Orientation major axis x-coordinate

Lc.Or1.X

Lc.Or1_x

1

ETH.Processing.LacunaeMeasurement

Orientation major axis y-coordinate

Lc.Or1.Y

Lc.Or1_y

1

ETH.Processing.LacunaeMeasurement

Orientation major axis z-coordinate

Lc.Or1.Z

Lc.Or1_z

1

ETH.Processing.LacunaeMeasurement

Orientation minor axis x-coordinate

Lc.Or2.X

Lc.Or2_x

1

ETH.Processing.LacunaeMeasurement

Orientation minor axis y-coordinate

Lc.Or2.Y

Lc.Or2_y

1

ETH.Processing.LacunaeMeasurement

Orientation minor axis z-coordinate

Lc.Or2.Z

Lc.Or2_z

1

ETH.Processing.LacunaeMeasurement

Centroid x-coordinate

Lc.Crd.X

Centroid X

µm

ETH.Processing.LacunaeMeasurement

Centroid y-coordinate

Lc.Crd.Y

Centroid Y

µm

ETH.Processing.LacunaeMeasurement

Centroid z-coordinate

Lc.Crd.Z

Centroid Z

µm

ETH.Processing.LacunaeMeasurement

Parameters per Image (ETH)

Parameter Name

Output

Unit

Task Type

Lacunar number

Lc.N

1

ETH.Processing.LacunaeStats

Lacunar volume

Lc.V

µm³

ETH.Processing.LacunaeStats

Lacunar surface area

Lc.S

µm²

ETH.Processing.LacunaeStats

Lacunar surface area to volume ratio

Lc.S/Lc.V

1/µm

ETH.Processing.LacunaeStats

Lacunar stretch

Lc.St

1

ETH.Processing.LacunaeStats

Lacunar oblateness

Lc.Ob

1

ETH.Processing.LacunaeStats

Lacunar equancy

Lc.Eq

1

ETH.Processing.LacunaeStats

Orientation major axis radius

Lc.Or1.Rd

µm

ETH.Processing.LacunaeStats

Orientation minor axis radius

Lc.Or2.Rd

µm

ETH.Processing.LacunaeStats

These are the mean values per image. Minimum, maximum, median and standard deviation are also available.

For larger studies ETH.Processing.LacunaeStatsReduce can aggregate these from multiple images.

References

Osteocyte Lacunar Biomarkers in Human Rare Bone Diseases Elliott Goff Diss. ETH Zurich, 2022. https://doi.org/10.3929/ethz-b-000541902

Large-scale osteocyte lacunar morphological analysis of transiliac bone in normal and osteoporotic premenopausal women. Elliott Goff, Adi Cohen, Elizabeth Shane, Robert R. Recker, Gisela Kuhn, Ralph Müller Bone, Volume 160, 2022, 116424. https://doi.org/10.1016/j.bone.2022.116424

Large-scale quantification of human osteocyte lacunar morphological biomarkers as assessed by ultra-high-resolution desktop micro-computed tomography. Elliott Goff, Federica Buccino, Chiara Bregoli, Jonathan P. McKinley, Basil Aeppli, Robert R. Recker, Elizabeth Shane, Adi Cohen, Gisela Kuhn, Ralph Müller Bone, Volume 152, 2021, 116094. https://doi.org/10.1016/j.bone.2021.116094