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Summary of Significant Accounting Policies (Details) (USD $)
3 Months Ended 0 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Mar. 24, 2014
Dec. 31, 2014
Investments Available for Sale        
Fair value of investments $ 19,997,509us-gaap_AvailableForSaleSecuritiesCurrent     $ 19,927,310us-gaap_AvailableForSaleSecuritiesCurrent
Gross unrealized gains 23,839rmti_AvailableForSaleSecuritiesGrossUnrealizedGainAccumulatedInInvestments      
Gross unrealized losses 151,310rmti_AvailableForSaleSecuritiesGrossUnrealizedLossAccumulatedInInvestments      
Realized gains or losses 0us-gaap_AvailableforsaleSecuritiesGrossRealizedGainLossExcludingOtherThanTemporaryImpairments      
Research and Product Development        
Product development and research costs 799,591us-gaap_ResearchAndDevelopmentExpense 4,615,197us-gaap_ResearchAndDevelopmentExpense    
Patents        
Research and Product Development        
NDA review fee     $ 2,169,100rmti_ResearchAndDevelopmentExpenseNewDrugApplicationReviewFees
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember