A Multiscale-Multiphysics Model for Axon Pathfinding Simulation, the Example of the Olfactory System
In the developing embryo, neurons form connections by projecting axons to appropriate target areas. The projection process includes neurite elongation, resulting from the assembly of new cytoskeletal material at the free end of the axon, a complex cascade of steering decisions, driven by biomechanical properties of the surrounding environment and by signals in it. In this work we focus on the early development of the olfactory nerve. In particular, we discuss a mathematical and numerical multiscale framework aimed at obtaining a description of the morphological organization of the axons at the first steps of the olfactory system formation. Axon guidance, diffusible cues, and extracellular mechanics are considered. We also discuss possible applications and generalizations with difficulties in the computational approach.