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Vitamin B12 There is four types of parenteral Vitamin B12 available: Cyanocobalamin 100 mcg/ml and 1000 mcg/ml best used as IM to prevent rapid loss via kidneys Hydroxycobalamin IM (compounded 1000 mcg/ml or more) known as long acting B12 (binds better to plasma proteins than cyanocobalamin) Methylcobalamin IV (compounded 1000 mcg or more up to 5000 mcg/ml) Adenosylcobalamin IV Common dose is 1000 mcg IM or IV Vitamin B12 as hydroxycobalamin is synthesized exclusively by microorganisms and is found in the liver of animals bound to protein as methylcobalamin = metabolically active form of Vitamin B12 Hydroxycobalamin is a chelator of cyanide and is used in cyanide poisoning Hydroxocobalamin is most generally used for vitamin B12 replacement therapy and is considered the drug of choice for vitamin B12 deficiency by the Martindale Extra Pharmacopoeia (Sweetman, 2002) and the World Health Organization (WHO) Model List of Essential Drugs

This may include advanced blood testing, inflammation analysis, and personalized protocols that support cellular repair and regeneration

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Alpha lipoic acid may help reduce melanin production, fading dark spots and melasma

We decompose a general trajectory into the optimal path and a fluctuation vector : We expand the action S [ ] to the second order around using a functional Taylor expansion: The first-order term vanishes because is a stationary point of the action (satisfying the Euler-Lagrange equations)