Corrigendum

Chen H, Guo X, Luo T, Kassab GS. A validated 3D microstructure-based constitutive model of coronary artery adventitia. J ApplPhysiol 121: 333–342, 2016. First published May 12, 2016; doi:10.1152/japplphysiol.00937.2015.—Equation 8 (and related text) should appear as follows:

$$W_i={\displaystyle {\int }_0^{\pi }}{\Re }_i\left(\mathit{\theta }\right)w_i\left(e\right)d\mathit{\theta }$$ (8)

where w_i(e) is the SEF of individual fibers as a function of fiber strain e. It should be noted that radially oriented elastin and collagen fibers are not engaged under inflation-extension condition, where they are compressed and bear no loads, and only planar fibers contribute to mechanical behavior of the adventitia. Thus $\Re$_i($\theta$) is a planar orientation distribution density function of fiber i, and $\theta$ is the angle between the fiber orientation and the circumferential direction of the vessel ${\mathbf{g}}_1$. $\Re$_i($\theta$) satisfies the normalization criterion ${\displaystyle {\int }_0^{\pi }}{\Re }_i\left(\theta \right)d\mathit{\theta }=1$.

Equations 10 and 11 should appear as follows:

$$W_i=\left\{{\omega }_{i1}{\displaystyle {\int }_0^{\pi }}{\mathit{\Re }}_{i1}\left(\theta \right)w_i\left(e\right)d\theta +{\omega }_{i2}{\displaystyle {\int }_0^{\pi }}{\mathit{\Re }}_{i2}\left(\theta \right)w_i\left(e\right)d{\theta }_i\right\}$$ (10)

$$S_i={\displaystyle {\sum _j^{}}_{}}{\omega }_{ij}{\displaystyle {\int }_0^{\pi }{\Re }_{ij}(\theta )\hspace{0.17em}\frac{(\partial w_i)}{\partial e}}\frac{\partial e}{\partial \text{E}}d\theta$$ (11)