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Stock-based Compensation (Details Narrative) - USD ($)					1 Months Ended	9 Months Ended		12 Months Ended
Stock-based Compensation (Details Narrative) - USD ($)	Aug. 05, 2021	Jul. 02, 2021	Oct. 06, 2020	Aug. 05, 2020	Aug. 31, 2020	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense						$ 2,257,863	$ 357,039
Share-based Payment Arrangement, Option, Exercise Price Range, Exercisable, Weighted Average Exercise Price						$ 17.06		$ 17.06
Class of Warrant or Right, Exercise Price of Warrants or Rights						$ 10.66		$ 10.66
Class of Warrant or Right, Outstanding						303,725		303,725
Warrants and Rights Outstanding, Maturity Date						Feb. 16, 2023		Feb. 16, 2023
PIPE Transactions [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Class of Warrant or Right, Outstanding						153,725		153,725
Warrant [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of warrants vested						112,500
Restricted Stock Units (RSUs) [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested						114,531
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number						369,461		369,461
Restricted Stock Units (RSUs) [Member] \| 2019 Omnibus Incentive Plan [Member] \| Service Condition [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period		79,572
Restricted Stock Units (RSUs) [Member] \| 2019 Omnibus Incentive Plan [Member] \| Performance Condition [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period		119,358
Terms of vesting		(i) 39,786 RSUs vest upon the completion of the interim analysis of Cohorts 1 and 2 for our PCS6422 Phase 1B clinical trial; (ii) 39,786 RSUs vest upon the completion of the interim analysis of our PCS499 Phase 2B clinical trial; and (iii) 39,786 RSUs vest upon the next capital raise(s) totaling a cumulative amount of at least $30 million
Restricted Stock [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested						239,374
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period					324,360
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested, Number of Shares	55,142
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number						344,513		344,513
Restricted Stock [Member] \| 2019 Omnibus Incentive Plan [Member] \| Up-List to the Nasdaq [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested, Number of Shares			214,078
Consultants [Member] \| Restricted Stock Units (RSUs) [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested						12,500
Consultants [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Prepaid expenses						$ 107,193		$ 107,193
Consultants [Member] \| Warrant [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested						112,500
Number of warrants vested						100,000
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period						150,000
Consultants [Member] \| Restricted Stock Units (RSUs) [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested						13,800
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period						17,800
Employees and Directors [Member] \| Restricted Stock [Member] \| 2019 Omnibus Incentive Plan [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period				324,360
Number of shares forfeited								29,847
Employees and Directors [Member] \| Restricted Stock [Member] \| 2019 Omnibus Incentive Plan [Member] \| Second Year Anniversary [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number	53,610
Employees [Member] \| Restricted Stock Units (RSUs) [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested						100,731
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period						351,661
Employees [Member] \| Restricted Stock Units (RSUs) [Member] \| 2019 Omnibus Incentive Plan [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period		198,930
Employees [Member] \| Restricted Stock Units (RSUs) [Member] \| 2019 Omnibus Incentive Plan [Member] \| Vest On July One Two Thousand And Twenty Two [Member] \| Service Condition [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested		39,786
Employees [Member] \| Restricted Stock Units (RSUs) [Member] \| 2019 Omnibus Incentive Plan [Member] \| Vest on July 1, 2023 [Member] \| Service Condition [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested		39,786
Employees [Member] \| Restricted Stock [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of restricted stock vested
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period						37,500