A fully parallel in time and space algorithm for simulating the electrical activity of a neural tissue.

Background: The resolution of a model describing the electrical activity of neural tissue and its propagation within this tissue is highly consuming in term of computing time and requires strong computing power to achieve good results.

New Method: In this study, we present a method to solve a model describing the electrical propagation in neuronal tissue, using parareal algorithm, coupling with parallelization space using CUDA in graphical processing unit (GPU).

Results: We applied the method of resolution to different dimensions of the geometry of our model (1-D, 2-D and 3-D).