Mathematical modelling of the enteric nervous network. II: Facilitation and inhibition of the cholinergic transmission.

The pharmacokinetic responses of the cholinergic enteric neurone to treatment with acetylcholinesterases, tetrodotoxin, some chloride salts of divalent cations, botulinum toxin, beta-bungarotoxin and changes in the concentration of calcium ions in the external medium and repetitive stimulation are presented. The numerical results obtained reproduce quantitatively the effects of toxins and salts of divalent cations acting at different levels of acetylcholine release from the nerve-terminal. The addition of cholinergic agonists potentiates the action of acetylcholine and increases the amplitude of the generated excitatory postsynaptic potential. A decrease in the concentration of extracellular Ca2+ ions reduces the amplitude of the excitatory postsynaptic potential and significantly increases synaptic transmission time. The effect of tetrodotoxin is the blockade propagation of the action potential along the nerve axon and, as a consequence, acetylcholine release from the vesicular store. All these effects have been shown to be dose-dependent. The repetitive stimulation of the neurone reproduces the effects of accumulation and potentiation. The possible applications of the model for the analysis of the enteric nervous system function are discussed.