Mucus Moving Up Trachea

This is an interactive plot to allow viewers to drag the plot to view the helix from different angles and zoom. The axes are AP (anterior-posterior) movement, lateral movement and movement parallel to the tracheal axis (all in milimetres). The axes are on different scales with the tracheal axis shrunken to the same scale as movement in lateral and AP dimensions.

Comparison of Helical and Axial Models

The R^2 for helical model = 0.963
The R^2 for axial model = 0.945
The helical model reduces the error of axial model by 31.7 %
The f statistic comparing helical vs. axial model is 27.18
The p-value that axial and helical models are equivilent = 0.00033

MCC Described by Helical Model

Amplitude of lateral movement 11 mm
Amplitude of anterior-posterior movement 10 mm
Period of helical movement 400 seconds

The outputs of the helical model are:
Rotational velocity = 0.16 mm/seconds = 9.4 mm / min
Cephalad velocity = 0.14 mm/seconds = 8.4 mm/min
Axial velocity parallel to trachea = 0.17 mm/seconds = 10.2 mm/min
The actual helical speed = 0.23 mm/seconds = 13.9 mm/min
The helical angle is = 47.4 degrees

Mucus in Each Dimension Over Time

Movement (milimetres) over time (seconds) is tracked in each axis of each camera (blue dots). The best axial model fit to the data represented by the red dots. The best helical model fit to the data is represented by the green dots.

Anterior Camera

Lateral movement over Time

Cephalad over Time

Lateral Camera

Anterior-Posterior over Time

Axial over Time Movement parallel to tracheal axis