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Nano-scale solution of the Poisson-Nernst-Planck (PNP) equations in a fraction of two neighboring cells reveals the magnitude of intercellular electrochemical waves

Fig 3

Illustration of different parts of the domain boundary involved in the physiologically motivated boundary conditions (see Section 2.3.2) used in most of our simulations.

In , i.e., in the boundary in the y- and z-directions for the x-values corresponding to the middle third of the extracellular cleft, we apply Dirichlet boundary conditions for both ϕ and all the ionic concentrations. In the simulations used to find the resting state of the system (see Section 2.2), we apply Neumann boundary conditions for ϕ and Dirichlet boundary conditions for the concentrations at and . In the simulations with open Na⁺ channels (see Section 2.2), we apply Neumann boundary conditions for ϕ and Dirichlet boundary conditions for the concentrations at and Dirichlet boundary conditions for both the concentrations and ϕ at . In the remaining boundary , we apply Neumann boundary conditions for both ϕ and the ionic concentrations.

doi: https://doi.org/10.1371/journal.pcbi.1010895.g003