Zimmer Development Agreement and Other Product Revenue (Details) - USD ($)		3 Months Ended		9 Months Ended
	Aug. 02, 2022	Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023
Zimmer Development Agreement [Line Items]
Fee payment				$ 2,000,000
Payment to the Company	$ 3,500,000
Warrant exercise price (in Dollars per share)				$ 3
Fair value of warrant				$ 100,000
Risk-free interest rate			3.60%	4.60%	3.70%
Expected term			6 years 1 month 6 days	6 years 1 month 6 days	5 years 9 months 18 days
Expected dividend yield			0.00%	0.00%	0.00%
Aggregate transaction price				$ 5,400,000
Collaborations revenue amount					$ 1,455,188
Product revenue		825,776	$ 629,906	3,180,719	$ 1,210,661
Product Revenue [Member]
Zimmer Development Agreement [Line Items]
Product revenue		$ 163,549		$ 163,549
2022 Zimmer Warrant [Member]
Zimmer Development Agreement [Line Items]
Aggregate shares (in Shares)		350,000		350,000
Risk-free interest rate				2.90%
Expected volatility percentage				53.50%
Expected term				5 years
Zimmer Development Agreement [Member]
Zimmer Development Agreement [Line Items]
Expected dividend yield				0.00%
Minimum [Member]
Zimmer Development Agreement [Line Items]
Fee payment				$ 2,000,000
Maximum [Member]
Zimmer Development Agreement [Line Items]
Fee payment				3,500,000
Development Agreement [Member]
Zimmer Development Agreement [Line Items]
Maintenance Fee	1,500,000
Milestone payments paid	$ 2,000,000
Fair value of warrant				$ 100,000