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Patent Option and Technology License Agreement - Additional Information (Detail) |  |  |  |  | 3 Months Ended | 6 Months Ended |  |
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Feb. 04, 2022 USD ($) | Feb. 23, 2021 USD ($) | Dec. 01, 2020 USD ($) | Jun. 30, 2020 USD ($) | May 31, 2022 USD ($) ft² | May 31, 2021 USD ($) | May 31, 2022 USD ($) ft² | May 31, 2021 USD ($) | Feb. 28, 2022 | Feb. 28, 2021 USD ($) shares
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Long-term line of credit |  |  |  | $ 350,000 |  |  |  |  |  |
Line of credit facility |  |  | $ 150,000 | $ 150,000 |  |  |  |  |  |
Revenue |  |  |  |  | $ 7,633,217 | $ 7,205,195 | $ 14,891,748 | $ 14,065,812 |  |
Duke University [Member] |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
License fee payable |  |  | $ 12,000,000 |  |  |  |  |  |  |
Milestone payments first phase III clinical trial | $ 2,000,000 | $ 2,000,000 |  |  |  |  |  |  |  |
Capitalized costs to obtain agreement |  |  |  |  |  |  |  |  |  | $ 15,372,382
Present value of license fee |  |  |  |  |  |  |  |  |  | 12,000,000
Number of common stock value transferred |  |  |  |  |  |  |  |  |  | $ 3,585,172
Number of common stock shares transferred | shares |  |  |  |  |  |  |  |  |  | 409,734
Capitalized costs amortization period |  |  |  |  |  |  |  |  | 16 years |
Amortization expense |  |  |  |  | $ 240,194 | $ 240,193 | $ 480,387 | $ 240,193 |  |
Duke University [Member] | 5.0% upon Execution of the Agreement [Member] | Fully Diluted Equity Ownership |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Common Stock Equal Full Diluted Equity Ownership Outstanding Percentage |  | 5.00% |  |  |  |  |  |  |  |
Duke University [Member] | 2.5% Market Cap [Member] | Fully Diluted Equity Ownership |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Common Stock Equal Full Diluted Equity Ownership Outstanding Percentage |  | 2.50% |  |  |  |  |  |  |  |
Duke University [Member] | Minimum [Member] |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Royalties Percentage Portion of Net Sales |  | 7.00% |  |  |  |  |  |  |  |
Duke University [Member] | Minimum [Member] | 2.5% Market Cap Triggers with 18 Months [Member] | Fully Diluted Equity Ownership |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Average Closing Market Capital |  | $ 300,000,000 |  |  |  |  |  |  |  |
Duke University [Member] | Minimum [Member] | 2.5% Market Cap Triggers with 24 Months [Member] | Fully Diluted Equity Ownership |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Average Closing Market Capital |  | $ 500,000,000 |  |  |  |  |  |  |  |
Duke University [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Royalties Percentage Portion of Net Sales |  | 12.50% |  |  |  |  |  |  |  |
Duke University [Member] | Within Fourteen (14) days of February 23, 2021 |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
License fee payable |  | $ 10,000,000 |  |  |  |  |  |  |  |
Duke University [Member] | Second Anniversary [Member] |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Minimum Annual Royalties Due Year Two |  | 500,000 |  |  |  |  |  |  |  |
Minimum Annual Royalties Due Year Three |  | 1,000,000 |  |  |  |  |  |  |  |
Minimum Annual Royalties Due Year Four |  | 2,500,000 |  |  |  |  |  |  |  |
Minimum Annual Royalties Due Year Five |  | 5,000,000 |  |  |  |  |  |  |  |
Minimum Annual Royalties Due After Year Five |  | $ 5,000,000 |  |  |  |  |  |  |  |
Duke University [Member] | Third Anniversary [Member] |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Minimum Annual Royalties Due Year Three | 500,000 |  |  |  |  |  |  |  |  |
Minimum Annual Royalties Due Year Four | 1,000,000 |  |  |  |  |  |  |  |  |
Minimum Annual Royalties Due Year Five | 2,500,000 |  |  |  |  |  |  |  |  |
Minimum Annual Royalties Due Year Six | 5,000,000 |  |  |  |  |  |  |  |  |
Minimum Annual Royalties Due After Year Six | $ 5,000,000 |  |  |  |  |  |  |  |  |
Duke University [Member] | Licensed Product and Licensed Process [Member] |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Area of medical condominium building | ft² |  |  |  |  | 56,000 |  | 56,000 |  |  |
Royalties Term |  |  |  |  |  |  | 15 years |  |  |
Duke University [Member] | Licensed Product and Licensed Process [Member] | 2.5% Upon Cumulative Net Sales [Member] | Fully Diluted Equity Ownership |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Common Stock Equal Full Diluted Equity Ownership Outstanding Percentage |  | 2.50% |  |  |  |  |  |  |  |
Revenue |  | $ 10,000,000 |  |  |  |  |  |  |  |
Duke University [Member] | Licensed Product and Licensed Process [Member] | 2.5% Upon Cumulative Net Sales [Member] | Fully Diluted Equity Ownership |  |  |  |  |  |  |  |  |  |
Patent Option And Technology License Agreement [Line Items] |  |  |  |  |  |  |  |  |  |
Common Stock Equal Full Diluted Equity Ownership Outstanding Percentage |  | 2.50% |  |  |  |  |  |  |  |
Revenue |  | $ 75,000,000 |  |  |  |  |  |  |  |

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