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Related Party Transactions (Narrative) (Details) - USD ($)
12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Dr. Jennifer Buell      
Related Party Transaction [Line Items]      
Related party expenses incurred $ 200,000    
Research and Development Manufacturing Services [Member]      
Related Party Transaction [Line Items]      
Related party expenses incurred   $ 450,000  
Research and Development Manufacturing Services [Member] | Protagenic Therapeutics, Inc [Member]      
Related Party Transaction [Line Items]      
Total expenses 97,000 $ 150,000 $ 106,000
Clinical Research Services [Member]      
Related Party Transaction [Line Items]      
Related party expenses incurred $ 450,000    
Dr. Garo H. Armen [Member] | Protagenic Therapeutics, Inc [Member]      
Related Party Transaction [Line Items]      
Percentage of equity interest in related party entity by related party 10.00%