After reading Rhesa Sperling and Melissa Murray’s recent papers, I wanted to also look at sex differences in our cohort.

I started with 165 cognitively normal ADRC participants. They are well matched, although women had higher overall levels of tau than men.

##                                           Stratified by GENDER
##                                            female         male          
##   n                                          100             64         
##   Age (mean (sd))                          66.67 (7.45)   67.83 (8.25)  
##   EDUC (mean (sd))                         16.05 (2.48)   16.25 (2.27)  
##   CDR = 0 (%)                                100 (100.0)     64 (100.0) 
##   apoe4 = 1 (%)                               32 ( 32.0)     21 ( 32.8) 
##   PUP_fSUVR_rsf_TOT_CORTMEAN.x (mean (sd))  1.32 (0.57)    1.32 (0.59)  
##   PUP_fSUVR_rsf_TOT_CORTMEAN.y (mean (sd))  1.19 (0.14)    1.11 (0.12)  
##                                           Stratified by GENDER
##                                            p      test
##   n                                                   
##   Age (mean (sd))                           0.352     
##   EDUC (mean (sd))                          0.603     
##   CDR = 0 (%)                               NA        
##   apoe4 = 1 (%)                             1.000     
##   PUP_fSUVR_rsf_TOT_CORTMEAN.x (mean (sd))  0.999     
##   PUP_fSUVR_rsf_TOT_CORTMEAN.y (mean (sd)) <0.001

Sperling’s paper found no clear association with sex for tau. However, she did find higher entorhinal cortical tau in women for a given level of tau.

Murray’s path paper said, “There is an interaction betweeen age and sex, resulting in selective neuroanatomic susceptibility to neurofibrillary pathology in different decades of life.”

When I included age as a covariate, I saw an association of sex with tau in the temporal and occipital lobes, as well as a trend in the parietal lobe. We also saw an age-sex interaction in the frontal lobe.

This is the model I started with for each lobe: Tau ~ Amyloid + Sex + Age + Amyloid:Sex + Amyloid:Age + Age:Sex + Amyloid:Age:Sex + ApoeStatus

After maximum likelihood model selection, here are the final models for tau accumulation in each lobe:

## 
## Call:
## lm(formula = Frontal.tau ~ Frontal.amyloid + Age + Frontal.amyloid:Age + 
##     Age:GENDER + Age:GENDER:Frontal.amyloid, data = df)
## 
## Coefficients:
##                    (Intercept)                 Frontal.amyloid  
##                      0.8071632                       1.6195614  
##                            Age             Frontal.amyloid:Age  
##                     -0.0117424                      -0.0175198  
##                 Age:GENDERmale  Frontal.amyloid:Age:GENDERmale  
##                      0.0008918                      -0.0014485
## 
## Call:
## lm(formula = Parietal.tau ~ Parietal.amyloid, data = df)
## 
## Coefficients:
##      (Intercept)  Parietal.amyloid  
##        2.167e-16         3.466e-01
## 
## Call:
## lm(formula = Temporal.tau ~ Temporal.amyloid + GENDER, data = df)
## 
## Coefficients:
##      (Intercept)  Temporal.amyloid        GENDERmale  
##           0.1465            0.4211           -0.3753
## 
## Call:
## lm(formula = Occipital.tau ~ GENDER, data = df)
## 
## Coefficients:
## (Intercept)   GENDERmale  
##      0.1915      -0.4906

It’s easy to see in these figures that women have more tau for a given level of amyloid in the temporal and occipital regions. The trend for a sex difference in the parietal region is also easy to see in the figures.

## TableGrob (2 x 2) "arrange": 4 grobs
##   z     cells    name           grob
## 1 1 (1-1,1-1) arrange gtable[layout]
## 2 2 (1-1,2-2) arrange gtable[layout]
## 3 3 (2-2,1-1) arrange gtable[layout]
## 4 4 (2-2,2-2) arrange gtable[layout]

## TableGrob (2 x 2) "arrange": 4 grobs
##   z     cells    name           grob
## 1 1 (1-1,1-1) arrange gtable[layout]
## 2 2 (1-1,2-2) arrange gtable[layout]
## 3 3 (2-2,1-1) arrange gtable[layout]
## 4 4 (2-2,2-2) arrange gtable[layout]

## TableGrob (2 x 2) "arrange": 4 grobs
##   z     cells    name           grob
## 1 1 (1-1,1-1) arrange gtable[layout]
## 2 2 (1-1,2-2) arrange gtable[layout]
## 3 3 (2-2,1-1) arrange gtable[layout]
## 4 4 (2-2,2-2) arrange gtable[layout]

## TableGrob (2 x 2) "arrange": 4 grobs
##   z     cells    name           grob
## 1 1 (1-1,1-1) arrange gtable[layout]
## 2 2 (1-1,2-2) arrange gtable[layout]
## 3 3 (2-2,1-1) arrange gtable[layout]
## 4 4 (2-2,2-2) arrange gtable[layout]

With these results, we both replicate the Sperling findings of higher tau for a given layer of amyloid as well as demonstrate an in vivo age x sex x amyloid effect on tau tangles in the frontal part of the brain.

Below is a visualization of this 3 way effect. Note that the axes for amyloid and tau are Z scores, not raw values of amyloid and tau, so the range of values described by the plane is +/- one standard deviation from the mean amount of amyloid or tau.

```