High penetration compositions (HPC) of a parent compound, which are capable of crossing biological barriers with high penetration efficiency. The HPCs are capable of being converted to parent drugs or parent drug-related compounds such as metabolites after crossing one or more biological barriers and thus can render treatments for the conditions that the parent drugs or parent drug-related compounds can. Additionally, the HPCs are capable of reaching areas that their parent drugs or parent drug-related compounds may not be able to access or to render a sufficient concentration at the target areas HPCs of NSAIA, for example, have demonstrated indications such as treating hair loss. A HPC can be administered to a subject through various administration routes, e.g., locally delivered to an action site of a condition with a high concentration or systematically administered to a biological subject and enter the general circulation with a faster rate.