I'm not sure if anyone knows
At least 2 and at most 10 per month, if you want your scalp to get the same DHT conentration as 2.5mg orally would give. My guess is 4 is optimal. Most people who tried did 8 or 10 and got great results. Lower doses cost less and have less systemic effect. I advise applying it at least twice per day, since I don't know how long it stays in the scalp before getting rinsed away by the blood.
You will NOT overdose on 10, or even 30, unless your scalp aborbs 100% compared to your intestine's 60%, which would mean you get the systemic effect of taking 0.56 to 1.66 pills per day oral, which is 0.28mg to 0.83mg per day. I suspect only 1/3 will get absorbed, and at 4 pills a month, your body gets ((4/(3*30))/0.6)*.5mg = 0.037mg/day, which is less than the amount that is equivalent to Propecia (0.1mg). And the much of amount the body gets will already be used because it took AR5 from the scalp with it. However, your scalp will get 200 times this much based on volue, if the dutasteride stays there long enough, which means 7.4mg per day. If the scalp gets saturated with dutasteride, no more will be absorbed until some leaves. I suspect the blood will take a lot away, but I don't know how much or fast, and therefore can't give an ideal dose.
Math:
Any transplant site will tell you the male pattern baldness are is 200cm2. Lets include the surounding horse shoe and say 400cm2. Laser hair removal sights say that most follicles are 2-5mm deep, but that scalp hair is 7mm deep. So assume the scalp is 1cm deep. That is 400cm3. Assume the human body is 80kg and has the density of water, 1g/cm3 which is 1kg/1000cm3.
400cm3/80,000cm3 = 1/200. Concentration = amount of dutasteride/volume. The intestine absorbs 60% of dutasteride in capsules. I read that testosterone patches, which have 12g of testosterone in a past, only get 4g through the skin, and dutasteride is bigger than testosterone, but absorption ratios are much higher at low concentrations and especially in liquids instead of pastes.
Pictures below:
http://www.dutasteride.com/dutasteride-chemistry.html
http://www.trans-health.com/displayarticle.php?aid=78
http://www.bdg.co.nz/reference-standard ... 925.0.html
I use 1/3 absorption as a ball park figure. It could be 95% or 30%, but an underestimate makes sure you get enough. Your goal is to load what 2.5mg orally would do to the scalp. I assume that DHT concentrations in serum and scalp are the same, but I could be way off on that. The prostate probably takes most of it was it since it is big and near the gut and has type II AR, which dutasteride likes. The scalp is probably mostly type I. Good news is most topicals come down the follicle like a highway, while also slowly entering directly through the skin. This is the only reason to keep your pores unplugged, so the smallest follicles that need it most can get some. Anyway, take the 1/3 and plug use it and you get the math expressions I have above. 7.4mg per day is very high, but since the blood probably rinses dutasteride away as it comes in, concentrations probably don't get that high. I'd use a small dose more often if you don't mind applying it, like 2-3 capsules per bottle and 1.5 bottles per month, three times per day. You probably need more than 1mL to cover your 200cm2 (and let the rest diffuse to your horse shoe. So maybe 1-2 capsules per bottle of Minoxidil 5% diluted with 70% issoproply, 2 mL per application, 3 times per day.
The people who applied 1mL twice per day with 8-10 capsules in 1 bottle had great results. But remember that what goes in, unless sweated out, must go to the body, and can give you the full does with side effects, just with your hair fortunately getting first shot instead of the prostate skimming it all off the top.