Simple Linear Regression Model Is Misleading When Used to Analyze Quantitative Diffusion Tensor Imaging Data That Include Young and Old Adults
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* K.M. Hasan

I read with interest a recent article published in this journal by Wang et al.1 The authors analyzed diffusion tensor imaging (DTI) data acquired on 71 healthy young, old, and older adult brains a (20–79 years of age). The authors calculated diffusion tensor metrics such as fractional anisotropy (FA) and mean, axial, and radial diffusivities by placing regions of interest on the caudate, putamen, and globus pallidus, and they used a linear regression model to fit the scatter of age versus DTI metrics. The article highlights the importance of using the tensor eigenvalues in the interpretation of normal-aging brain data in key gray matter structures that can be used as surrogate neuroimaging markers of natural aging. On the basis of the analysis of these regions of interest, the study concluded that FA increased steadily with age in the putamen (*r* = 0.535, *P* < .001). The FA increase in the putamen was attributed primarily to a decrease in the transverse diffusivity (*r* = −0.451, *P* < .008).

The increase in striatal FA with age as reported by Wang et al is an important finding that confirms previous and recent DTI reports on both healthy children2,3 and young3,4 and older adults,5(#ref-6)(#ref-7)(#ref-8)–9 or across the human lifespan.10

While a trend in striatal increase in FA versus age reported by Wang et al is consistent with several reports using different DTI analysis methods,2(#ref-3)(#ref-4)(#ref-5)(#ref-6)(#ref-7)(#ref-8)(#ref-9)(#ref-10)–11 I should also point out that the finding of reduced mean diffusivity with age is contradictory to several previous reports that compared healthy young and older adults. For example, Bhagat and Beaulieu6 and Pfefferbaum et al7 reported that putaminal tensor axial and mean diffusivities increased significantly with advancing age. Càmara et al8 reported an increase in putaminal diffusion anisotropy but a nonsignificant trend in age versus mean diffusivity.

The expected rise in the water-molecular-diffusivity trend in deep striatal gray matter can be seen when including young children and adopting nonlinear curve-fitting models.10 The striatal mean diffusivity curves across the lifespan should also mimic the transverse relaxation age trajectories.11(#ref-12)–13 The nonlinear (eg, quadratic) model consolidates reports on healthy children and young and older adults.

I conclude that DTI quantitative reports with a relatively small population and sparse attenuation and extended age ranges should not use simple linear regression because this simple model fails to accommodate the expected decrease in diffusivity in children and the predicted rise in diffusivity as a result of increased water extracellular mobility as tissue ages.11(#ref-12)–13

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