Dynamic Spatial Treatment Effects in Neurotransmitter Diffusion: Applications to Movement Disorders

Tatsuru Kikuchi

MPRA Paper from University Library of Munich, Germany

Abstract: Traditional spatial treatment effect methods impose arbitrary boundaries between treated and control regions, obscuring how treatments spread through neural tissue. We develop a continuous functional framework deriving explicit treatment boundaries from diffusion physics, eliminating discretization artifacts while providing testable predictions. Our approach applies partial differential equations to neurotransmitter diffusion, unifying spatial scales from synaptic spillover (micrometers) to volume transmission (centimeters). We validate using synthetic data calibrated to established neuroscience parameters across five conditions: healthy controls, dystonia, Parkinson's disease, Alzheimer's disease, and acute ischemia. Results demonstrate systematic disease-induced boundary alterations. Dystonia reduces treatment reach by 16.3\% (p $

Keywords: Neurotransmitter diffusion; spatial treatment effects; movement disorders; dystonia; Parkinson's disease; treatment boundaries; continuous functionals; diffusion equations; volume transmission (search for similar items in EconPapers)
JEL-codes: C14 C21 C31 I10 I18 (search for similar items in EconPapers)
Date: 2025
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