Abstract / Summary
Alzheimers Disease (AD) is characterised by the progressive depletion of Acetylcholine (ACh), a neurotransmitter essential for cognition and synaptic communication. Docosahexaenoic acid (DHA), the predominant omega 3 polyunsaturated fatty acid in neuronal membranes, raises cerebral ACh and supports cholinergic transmission, but its therapeutic efficacy is limited by poor blood brain barrier permeability and slow passive diffusion. This work addresses these limitations through a closed form mathematical model coupling the spatiotemporal dynamics of DHA diffusion and ACh synthesis under an externally applied static magnetic field. Because DHA is diamagnetically anisotropic, it aligns along the field axis through diamagnetic torque while body cells form field aligned linear arrays; together these effects raise the effective diffusion coefficient of DHA. At a representative observation point, 0.5cm, magnetic field assisted transport reduces the time for ACh to reach a therapeutic threshold by 83.3%, from 10.55 s to 1.76 s. This reduction is spatially uniform across the modelled range of 0 to 3.0 cm from the source, with the absolute saving growing from 6.71 s at the source to 19.21 s at 3.0 cm. Co-evolution analysis reveals the mechanism: by the end of a 2.0 s window the field elevates DHA 7.39 fold relative to baseline, driving ACh to 133.7% of threshold versus only 18.1% without the field. A Brain Computer Interface (BCI)-based closed loop dosing framework is additionally proposed for future clinical validation. These findings establish a quantitatively grounded theoretical basis for magnetically enhanced DHA therapy as an approach to cholinergic restoration in AD.