A study on efficiency of 3D partial differential diffusive model of presynaptic processes

Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic Bouton

“…where α is the permeability coefficient and ∂/∂ν is a directional derivative in the outer normal direction ν. The function η(t) (depending on time t) takes the value of 1 for t ∈ [t n , t n + τ] (with the action potential arriving at t n and with the release time τ), and η(t) = 0 otherwise [19]. In such a way, boundary conditions are a simple model of exocytosis through a Ca V 2 type voltage-gated channel.…”

“…For example, one may draw a globe with 24 meridians and 13 circles of altitude−or rather 11, if we exclude poles as degenerate circles. The simplest object used for modeling a presynaptic bouton [19] consisted of two such globes placed concentrically (see Figure 2). The input parameters for the meshing software were as follows: maximum volume of a single mesh element (tetrahedron) (VT max ).…”