Preheat the oven to 180C.
Mix together the maple syrup and coconut oil in a freestanding mixer or by hand. Beat in the eggs one at a time. Add the bran and sieve in the cinnamon, baking powder and flour. Mix together until combined then slowly add the milk until you have a runny, smooth mixture.
Fold in the grated apple then divide between 12 muffin cases (fill each case to about ¾ full). Sprinkle a little extra bran over each muffin then bake for around 25min. The muffin should spring back when pressed lightly and a skewer should come out clean when inserted for a few seconds.
Leave on a wire rack to cool before enjoying with a nice cuppa!