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Neurodegenerative diseases are among the leading causes of global mortality. They are characterized by the progressive deterioration of specific neuron populations, ultimately leading to cognitive decline and dementia. Extracellular vesicles (EVs) are crucial players in the early stages of such diseases, acting as carriers of pathogens and contributing to neuroinflammation and disease propagation. This study proposes a mathematical model to elucidate the movement of EVs bearing prion protein (PrP) on their surface along neuronal surfaces. Supported by experimental data, the model explores the role of the actin polymerization on the EVs transport dynamics. EVs isolated from non-human astrocytes were analyzed under three conditions: untreated control (Ctrl), neurons treated with Cytochalasin D (CytoD-HN), and EVs treated with Cytochalasin D (CytoD-EV). Our mathematical model effectively explained the experimental data. In the CytoD-EV dataset, EV movement was modeled using a flashing Brownian ratchet, reflecting directed movement. For active transport in the CytoD-HN set, a symmetric periodic potential models the rolling of the Evs on the neuron surface. The Ctrl scenario results in a combination of the two mechanisms. Finally, a sensitivity and comparative analysis between numerical results and experimental data showed that the model effectively replicates the Evs motion.