Update - my hair is continuing to thicken up - I have a small pony tail now - just waiting for the sides and top to fully thicken up so I can walk around with no wig. All my hair now seems to be holding well - no falling out when I eat sugar or salty chips. YAY.
In response to taking supplements etc - I wanted a cheap cure that I could rely on which is why I haven't taken bulk supplements.
I suffered Alopecia for many years - had steriod injections, tried an indian herbal remedy which worked for a while but eventually I lost ALL my hair on my body. It was great not to have to shave my legs but totally depressing. I ended up wearing a scarf for a about a year before a wig which at least made me feel like a woman again. I lost all my eyebrows as well and had to use a thin paintbrush to apply make-up strokes. I had used carrot juice in the past for other things and when my sister experienced bad skin she started chinese medicine and carrot juice. Her hair grew back (she had alopeica too) and at first we thought it was the chinese remedy but then I started drinking it daily (ABOUT 8 oz a day) in large glass. I juiced it fresh and sometimes made more and stored it in fridge. About 3 months later I noticed my eyebrows coming back. Then the hair on my legs started growing and then the hair on my head.
I now have hair all over my head (with just one or two patches) and it is growing thicker and thicker all the time. It has taken me about a year to get this far and although thicker I still have a way to go before being able to walk around without a scarf or wig as it's thin in places where it hasn't fully grown in yet.
I use a Champion juicer but my sister just used a normal centrifugal one that she bought in a superstore for about $40.00
When I get lazy I buy fresh carrot juice from the health shop where they make it fresh while you wait.
Initially I added one apple to the mix and sometimes a small chunk of beetroot and sometime some spiriluna powder but I got a bit worried it was too sweet and now just have carrot juice (occasionally I add beetroot or spiriluna to break up the boredom).
But I am sure just plain carrot would be enough.
If I eat a lot of sugar, bits start to fall again so I stop eating so much and keep up the carrot juice. If I go too long without carrot I think it would also start to fall again. So I drink it daily.
Hope this helps you!! I suffered for about 12 years off and on.