<p>Dental pain is a common ailment. With the development of oral anatomy and histology, the understanding of the neural circuit of dental pain sensation has become relatively comprehensive, and the corresponding methods for clinical diagnosis and therapy have become relatively well developed. The hydrodynamic hypothesis is a widely accepted theoretical explanation for dental pain induced by dentin hypersensitivity at present, but the corresponding quantitative mechanism is still lacking. In this work, in combination with the dynamics of neuronal excitability and experimental data, we select appropriate parameters and use the Hodgkin-Huxley equation to directly describe stress-induced neural discharge. This method simplifies the quantitative simulation scheme of the hydrodynamic hypothesis coupled with computational fluid dynamics and the membrane potential response of the nerve terminal. We plot the codimension-2 bifurcation diagrams between the stress sensitivity of mechano-gated ion channels and the maximum conductance of other ion channels. We further perform simulations with two dental pain scenarios under cold and hot stimulation. The simulated response behaviors of the pulp nerves are qualitatively consistent with the experimental results. The simplified description by the Hodgkin-Huxley equation is effective and reliable. It is helpful to further develop a quantitative simulation of the hydrodynamic theory of dentin hypersensitivity and to understand its dynamic response to thermal stimulation in dental practices.</p>