Place a rack in the centre of the oven and preheat to 350 degrees. Butter and flour a standard 12-cup muffin tin, coat with nonstick cooking spray, or line with paper liners.
In a large bowl, stir together flour, wheat bran, cinnamon, baking powder, baking soda and salt.
In a medium bowl, whisk together the eggs, crème fraîche, milk, sugar, and vanilla until well-combined. Slowly pour in the melted butter while whisking.
Pour the wet ingredient mixture into the dry ingredients and fold gently, using a rubber spatula, just until the ingredients are combined. Gently fold in the blueberries until the fruit is well distributed. The batter may seem lumpy, but don’t try to smooth it out.
Using an ice cream scoop or a spoon, scoop a heaping ⅔ cup batter into each prepared cup of the muffin tin, filling the cups to the brim (almost overflowing) and making sure the cups are evenly filled. You might think you have too much batter, but you can fill these to overflowing and then you will get nice tops on your muffins. (If you prefer smaller muffins, spoon about ½ cup batter into each cup and decrease the baking time to 25 to 35 minutes. You will get up to 18 smaller muffins.)
Bake for 45 to 55 minutes, or until the muffins are entirely golden brown on top and they spring back lightly when you press them in the centre. There’s a lot of fruit in these muffins, so make sure you bake them enough so the insides of the muffins don’t get soggy. Let the muffins cool in the pan on a wire rack for 20 minutes, and then remove them from the pan.