Assessment of air space size characteristics by intercept (chord) measurement: an accurate and efficient stereological approach

Author:

Knudsen Lars1,Weibel Ewald R.1,Gundersen Hans Jørgen G.2,Weinstein Felix V.1,Ochs Matthias13

Affiliation:

1. Institute of Anatomy, University of Bern, Bern, Switzerland;

2. Stereology and Electron Microscopy Research Laboratory, University of Aarhus, Aarhus, Denmark; and

3. Institute of Functional and Applied Anatomy, Hannover Medical School, Hannover, Germany

Abstract

The mean linear intercept (chord) length ( Lm) is a useful parameter of peripheral lung structure as it describes the mean free distance in the air spaces. It is often misinterpreted as a measure of “alveolar size,” and its estimation is fraught with a number of pitfalls. We present two methods for the accurate estimation of Lm: 1) the indirect method, which derives Lm from the volume-to-surface ratio of air spaces estimated by point counting methods, and 2) the direct method, which uses a set of random intercepts and calculates Lm from their frequency distribution, for which we introduce a new and accurate method. Both methods are efficient and, with proper precautions, unbiased. The meaning of Lm is assessed in two different examples. In a physiological study, the effect of different inflation levels is studied, showing that Lm critically depends on lung inflation. In an experimental study on emphysema-like changes in a genetic mouse model, the effect of heterogeneity of air space size is assessed; these results are obtained partly because of differences in lung volume due to altered recoil in the emphysematous lungs. In conclusion, although Lm is not a robust parameter of internal lung structure because it crucially depends on lung volume, it is still a valid measure for which accurate and efficient methods are available that yield additional parameters such as size distribution or alveolar surface area.

Publisher

American Physiological Society

Subject

Physiology (medical),Physiology

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