Evaluation of a post-processing approach for multiscale analysis of biphasic mechanics of chondrocytes, DOI: 10.1080/10255842.2013.809711

This article refers to:

Evaluation of a post-processing approach for multiscale analysis of biphasic mechanics of chondrocytes

In the published article (Sibole et al. 2013), the authors realised an important issue that needs clarification:

The term ‘aspect ratio’ used in the original article (and in the appendix material) should be referred to as ‘shape factor’, as also described by Peeters et al. (2004). In Section 2.3.1, a moment of inertia tensor is reconstructed for a cell, and the principal moments of inertia (λ₁, λ₂, λ₃) are obtained through eigenvalue decomposition. In the following, L₁, L₂, L₃ are calculated by Equation (11). L₁, L₂, L₃ actually represent the semi-axes (radii) of the inertia ellipsoid (Arnold 1997). The inertia ellipsoid resembles the shape of the cell, i.e. when the moment of inertia of the cell about an axis is small, the axis of the inertia ellipsoid is large. Any ratio calculations utilising L₁, L₂, L₃, e.g. Equation (12), therefore indicate a shape factor.

Assuming unit density, an equivalent ellipsoid geometry, with the same mass and moment of inertia properties as the cell, can be obtained by calculating the semi-axes (radii) as

(C−1)

(C−2)

and

(C−3)

Here, a₁, a₂, a₃ can provide an approximation of traditional cell shape metrics, e.g. cell width, length and height. The ratio in between can be used to evaluate the cell aspect ratio.

The issue stated in this corrigendum does not change the conclusions of the work. This document is provided to clarify the terminology used in the original article. The authors regret this oversight and apologise any confusion it may have caused. For further information, the readers are encouraged to contact the corresponding author.