A Solvable Model for the Diffusion and Reaction of Neurotransmitters in a Synaptic Junction
- Author(s): Barreda, Jorge L
- Zhou, Huan-Xiang
- et al.
Published Web Locationhttp://dx.doi.org/10.1186/2046-1682-4-5
Abstract Background The diffusion and reaction of the transmitter acetylcholine in neuromuscular junctions and the diffusion and binding of Ca2+ in the dyadic clefts of ventricular myocytes have been extensively modeled by Monte Carlo simulations and by finite-difference and finite-element solutions. However, an analytical solution that can serve as a benchmark for testing these numerical methods has been lacking. Result Here we present an analytical solution to a model for the diffusion and reaction of acetylcholine in a neuromuscular junction and for the diffusion and binding of Ca2+ in a dyadic cleft. Our model is similar to those previously solved numerically and our results are also qualitatively similar. Conclusion The analytical solution provides a unique benchmark for testing numerical methods and potentially provides a new avenue for modeling biochemical transport.