Lukas Arndt’s research while affiliated with German Aerospace Center (DLR) and other places

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (1)


Visualization of ultrasound image acquisition and analysis. (A) The fascicle probe angle (FPA) is subject to variation in both the pennation angle (α, middle) and the gel pad angle (GA, right). Only GA can be controlled by the operator, while α stays constant in a resting muscle. The ultrasound gel pad enables angulation affording minimal ultrasound attenuation prior to coupling into the tissue. At a muscle/IMCT interface, reflection, transmission, absorption, and scattering (not indicated) occur and change with the FPA. A change in FPA causes a change in the angle of reflection x =|FPA|, and hence causes the reflected ultrasound ray to be displaced by ∆x ∝ sin(2 ·\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\cdot$$\end{document}|FPA|) in the probe. Thus, a change in FPA will cause all reflected rays within a detector area of fascicle-transverse length ∆x to be reflected away from the probe, and thus the MGV decreases by an amount ∝ ∆x. The image in the middle exemplifies the trigonometric relationship between the probe angle and the amount of ultrasound waves being reflected back to the probe. The echo intensity detected is determined by the function y = β0 – (β1/2) ∙ sin(2|FPA|) where β0 is the mean gray value at 0° FPA (MGV_00) and β1 is the tilt echo gain (TEG). (B) Set-up for ultrasound image acquisition: The linear probe is held in place by a probe holder that is attached to a robotic axis translating the probe in the shown direction. (C) Representative ultrasound images of an infraspinatus muscle scanned with a 0° (left), + 12° (middle) and − 2° (right) gel pad. α is the pennation angle, between fascicle (F) and epimysium (E). ω is the fascicle probe angle (FPA), between fascicle and probe (P). The mean gray value is visibly higher at a smaller FPA (middle < top < bottom). (D) Segmentation of macroscopic photo of muscle cross section (left) with ilastik (right).
Comparing results for fitting a sine function (left column) versus a linear function (right column) for the grand ensemble of all data. Note that both fits were performed with absolute FPA as independent variable. (A, B) Scatter plot of raw data with fitted function curves. As can be seen, gray values peaked at FPA = 0°. (C, D) Residuals (i.e. vertical distance of data point from fitted line in upper row) plotted vs. fitted values (i.e. y-coordinate of fitted curve in A and B, upper row). As can be seen, residuals at extreme ends of x-axis deviate more from 0 in D than in C. (E, F) Observed quantiles plotted versus expected quantiles. A straight line would indicate normal distribution of residuals. Although residuals from both fittings seem to be reasonable, they seem slightly closer to normal distribution at extreme ends for the sinusoidal fit.
Illustration of spatial gain parameters. (A) The green line indicates the sinusoidal fit and the red line the linear fit. The green and red circle represent the predicted MGV_00 (gray value at FPA 0°) for each fit. Estimates for MGV_00 were directly derived from the fitted line at x-value 0° and the negative slope was defined as tilt echo gain in percent MGV_00 per degree (TEG). For this plot, we used data from fhl muscle in animal R6, since the adjusted r²-value for that specimen coincided with the median of all adjusted r²-values. (B) Distribution of all adjusted r²-values, with the median marked as vertical dashed line in red. (C) Correlation between TEG and MGV_00 was very weak. (D) Correlation between MGV_00 and IMCT ratio measured optically in cross sections was significant, but weak.
Box plots for MGV_00 and TEG across all analyzed muscles, shown by identical anatomical muscles (x axis) and grouped by forelimb, hindlimb and trunk muscles via color. (A) Forelimb muscles (edc, ecr, fcr, edl), hindlimb muscles (ft, fhl, fl) and trunk muscles (pso, sch, ssp) can hardly be distinguished by MGV_00, rather, differences exist between each muscle. (B) TEG is distributed differently across muscles compared with MGV_00.
Ex-vivo validation of spatial gain sonography for the quantification of echo intensity in fascicle-aligned ultrasound images in ten anatomical muscles in Bos taurus
  • Article
  • Full-text available

February 2024

·

104 Reads

·

·

Lukas Arndt

·

[...]

·

Jörn Rittweger

This study aimed to validate the concept of spatial gain sonography for quantifying texture-related echo intensity in B-mode ultrasound of skeletal muscle. Fifty-one bovine muscles were scanned postmortem using B-mode ultrasonography at varying fascicle probe angles (FPA). The relationship between mean gray values (MGV) and FPA was fitted with a sinusoidal and a linear function, the slope of which was defined as tilt echo gain (TEG). Macroscopic muscle cross sections were optically analyzed for intramuscular connective tissue (IMCT) content which was plotted against MGV at 0° FPA (MGV_00). MGV peaked at FPA 0°. Sine fits were superior to linear fits (adjusted r²-values 0.647 vs. 0.613), especially for larger FPAs. In mixed models, the pennation angle was related to TEG (P < 0.001) and MGV_00 (P = 0.035). Age was relevant for MGV_00 (P < 0.001), but not TEG (P > 0.10). The correlation between the IMCT percentage and MGV_00 was significant but weak (P = 0.026; adjusted r² = 0.103). The relationship between fascicle probe angle and echo intensity in B-mode ultrasound can be modeled more accurately with a sinusoidal but more practically for clinical use with a linear fit. The peak mean gray value MGV_00 can be used to compare echo intensity across muscles without the bias of pennation angle.

Download