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Share-Based Compensation - Compensation Expense (Details) - USD ($) | 3 Months Ended
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Mar. 31, 2019 | Mar. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Stock-based compensation | $ 309,563 | $ 269,596
General and administrative |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Stock-based compensation | 233,214 | 249,242
Research and development |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Stock-based compensation | $ 76,349 | $ 20,354

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