Aplysia Gill-Withdrawal Reflex: Quantal Vesicle Release (2D)
2D stochastic model of the Aplysia gill-withdrawal synapse: individual synaptic vesicles dock at discrete release sites and fuse probabilistically (Katz's quantal hypothesis), while neurotransmitter quanta undergo real 2D Brownian diffusion across the synaptic cleft — habituation and serotonin-driven sensitization emerge from single-vesicle statistics instead of a smooth pool fraction.
This is the discrete, single-vesicle counterpart to the 3D Aplysia gill-withdrawal simulator. Rather than a smooth vesicle-pool fraction decaying under an ODE, twelve individual presynaptic docking sites are tracked one by one — each independently empty or occupied, each releasing stochastically on a stimulus. Habituation is literally fewer occupied sites firing fewer quanta after repeated touches; sensitization is serotonin from a facilitatory interneuron raising each site's release probability. Every released vesicle becomes a neurotransmitter quantum that must physically random-walk across the synaptic cleft before it can contribute to the postsynaptic EPSP — Katz's quantal hypothesis, animated. Adjust the stimulus interval, site-recovery time constant and serotonin gain, then fire a train of touches followed by a tail shock to watch the gill withdrawal habituate and then snap back to life.
2D stochastic counterpart to the Aplysia gill-withdrawal 3D model: 12 discrete presynaptic docking sites fill and fire independently (Katz's quantal hypothesis), while released neurotransmitter quanta undergo real 2D drift-diffusion transport across the synaptic cleft — habituation and serotonin-driven sensitization emerge from single-vesicle statistics instead of a smooth pool fraction.
2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install