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Warrant Liability (Tables) | 9 Months Ended
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Sep. 30, 2016
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Assumptions Used for Black-Scholes Model | The assumptions used for the Black-Scholes model to value the Warrants at September 30, 2016 are as follows:
|  | Series A (2011) |  |  | Series A (2016) |  |  | Series B (2016) |
Risk-free interest rate per year |  |  | 0.25 | % |  |  | 0.74 | % |  |  | 1.32 | %
Expected volatility per year |  |  | 430.7 | % |  |  | 237.1 | % |  |  | 140.6 | %
Expected dividend yield |  |  | 0 | % |  |  | 0 | % |  |  | 0 | %
Expected life (years) |  |  | 0.2 |  |  |  | 1.5 |  |  |  | 5.5 |
Summary of Changes in Fair Value of Warrant Liability | The following table is a summary of the changes in fair value of warrant liability in the third quarter of 2016:
|  | Series A (2011) |  |  | Series A (2016) |  |  | Series B (2016) |  |  | Total |
Balance at December 31, 2015 |  | $ | 770,964 |  |  | $ | — |  |  | $ | — |  |  | $ | 770,964 |
Exercised |  |  | (838,485 | ) |  |  | (1,564,788 | ) |  |  | — |  |  |  | (2,403,273 | )
Cancelled |  |  | — |  |  |  | — |  |  |  | (1,786,170 | ) |  |  | (1,786,170 | )
Changes in fair value |  |  | 122,466 |  |  |  | 1,679,706 |  |  |  | 2,268,209 |  |  |  | 4,070,381 |
Balance at September 30, 2016 |  | $ | 54,945 |  |  | $ | 114,918 |  |  | $ | 482,039 |  |  | $ | 651,902 |

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